diff --git "a/data/dm_maths/full_data_2/1078_11255.jsonl" "b/data/dm_maths/full_data_2/1078_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1078_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Does 18 divide 546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 83, 179, 333, 545, 815?\n\"Answer: 29*u**2 + 9*u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 13 - 6 = 2*l, 2*u - 16 = -5*l. Suppose -2*d + 716 = d - 2*x, l*d - 478 = x. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1688*z**3 - 3*z**2 + z + 22. Is o(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2811 (base 9) in base 3?\nAnswer: 2220101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2396, -4738, -7080, -9422?\n\"Answer: -2342*x - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g + 4*g + 0*g + g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5035654 take away -25.87?\nAnswer: 26.3735654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -983 equal to -985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 69188 + 146?\nAnswer: 69323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.2213 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*2999.\nAnswer: 32989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 174.69 - -4.31. Let m = r + -178.999903. Round m to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*9 + 50\/9*((-243)\/18)\/(-9)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 4*j + 2. Let v(a) = -2*a**3 - 8*a**2 + 5. Let t be v(j). Solve 2 = 2*s + h - 1, t = h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/4 + 17*y**4\/2 + 61*y**3\/4 - 25*y**2 - 31*y + 32 = 0. Calculate y.\nAnswer: -32, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3 + 100882*q**2 + 403556*q - 1210632 = 0. Calculate q.\nAnswer: -6, 2, 100886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5939802 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -41546, -0.113 in descending order.\nAnswer: -0.113, -4, -41546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 49. Is (s\/(8\/(-2)))\/(14\/76216) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0 (c) -52\/7 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**2 + t - 4. What is k(2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -5, 5, -96, 0, 18.\nAnswer: -96, -5, 0, 5, 18, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times 0.59824934?\nAnswer: 8.9737401","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let r = -4 - -7. Let x = r - g. Which is the biggest value? (a) x (b) -0.3 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/11 (b) 1\/14 (c) -1.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 523\/151 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 39 + (-2484)\/54 - -47\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 1. Let f be q(-1). Let n(w) be the first derivative of 0*w**3 + 0*w**2 - 1 + 5\/4*w**4 - f*w. Differentiate n(b) with respect to b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 4*c - 9762. Let t(a) = -a**2 - 6*a - 9779. What is 3*l(h) - 2*t(h)?\nAnswer: -h**2 - 9728","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-21)\/7 - (-2 + -1). Let s(r) = -3 - 2*r**2 - 3*r - r + h*r. Give s(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b\/b**(-2\/79))\/b*b**(2\/19) assuming b is positive.\nAnswer: b**(1697\/1501)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3759\/9410 + 1\/1882. Sort -2\/3, 2\/7, 6, x, -1\/4 in increasing order.\nAnswer: -2\/3, -1\/4, 2\/7, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 78*s + 58*s - 22*s.\nAnswer: 2*s**2 - 42*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 493882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -a - 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 65093 to the nearest one thousand.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) - (-6)\/4. Suppose 79 = n - q*z, -3*n + n = 2*z - 146. What is the greatest common divisor of 30 and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 82 = 76 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10188 + 25*f - 18*f - 90*f**2 + 10188 as t + z*f + v*f**2 and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 3*s - 3*s + (-5 - 1 + 4)*(s + 2*s - s) - 33 - 8*s + 33 - s + 6*s - 3*s.\nAnswer: -13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 169, 172, 165, 142, 97, 24?\n\"Answer: -n**3 + n**2 + 7*n + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 5*v - 3. What is the remainder when i(7) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -174.7 + 13.7. Let a = f + 178. Is -1\/2 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/((-54)\/45)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*c**4*d**2 + 52*c**4 + 11*c**3*d + 56052*c**2*d + 3*c*d**2 wrt c?\nAnswer: 1608*c*d**2 + 1248*c + 66*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 178490705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60.3 - -58. Let j = 0.7 - y. Sort -1\/3, -2, j, 3\/8.\nAnswer: -2, -1\/3, 3\/8, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*l**3 - 282 + 152 + 130 + 2*l**3 + 11*l**2.\nAnswer: -32*l**3 + 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(-3 + 3 + sqrt(48) - (sqrt(48) - ((sqrt(48) + sqrt(48)*2 - sqrt(48))*-2)**2)) + -4.\nAnswer: -3844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 416 and 291136?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(1 - -4)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1078837, -1078805, -1078773, -1078741, -1078709?\nAnswer: -1078677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-four fifths of a century?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 11*m**2 + 29*m + 3. Give r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0922 + 0.1522. What is the third biggest value in 2, k, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 187449*g**3*u - 5*g**3 - 326*g**2 - 2*g*u - 2748 wrt g.\nAnswer: 1124694*u - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2)*8\/1. Does 6 divide ((-20)\/(-25))\/(n\/50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 32*a + 382. Calculate u(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a millennium in decades?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1143 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 11 = -2*i, i - 5*j + 7 + 3 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c1 + 0?\nAnswer: 5c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*y + 125*y - 5375 = 0 for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + 3*sqrt(320) + 5)*6 + -3)**2.\nAnswer: 10368*sqrt(5) + 185049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of j**5\/10 + 5*j**4\/4 + j**3 + 7*j**2\/2 - j - 52. Let a be q(-7). Solve 0 = -2*y + 2*d - a, 0*d + 3*d - 31 = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366.124 less than -3.4?\nAnswer: 362.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 50*j + 2252. Let x be w(-40). Calculate the highest common divisor of 126 and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*0.677.\nAnswer: 4.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 10. Suppose -47*n + 23*n + 250 = -19*n. Calculate the remainder when n is divided by -2*(-26)\/f*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 6. Let g be 10306\/(-6) + z\/3. Let j = -882 + g. What is j rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*a - 27 + 94*a + 28 - 271*a.\nAnswer: -295*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23267677187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -685 + 346 + 347 + 51*k**3 wrt k.\nAnswer: 153*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -4, 2\/37, -0.5, -33\/17?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -10, 9, 42, 89, 150, 225?\n\"Answer: 7*c**2 - 2*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -99.6*-3.09\nAnswer: 307.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 6*d)*(-10 - 2*d + 15*d + 8).\nAnswer: -78*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 27, -3, 0, 5 in descending order.\nAnswer: 27, 5, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 132 + 6*p + 389 - 134.\nAnswer: 6*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) 6.853 (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154 and (12\/16 - 2)\/(5\/(-20)).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 + -21. Suppose -3*t = 11 - f. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1280?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 less than -0.02603?\nAnswer: -0.52603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -56, -1.\nAnswer: -56, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -241460 and -3954.\nAnswer: 954732840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**2\/4 + 149*j\/4 - 440 = 0?\nAnswer: -160, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 + 4*v - 3. Let f be j(-5). Let m(h) = -8*h**2 + 13*h - 8. Let p be m(1). Sort -10, p, f.\nAnswer: -10, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -736017\nAnswer: 3680085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 415 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11\/((-77)\/2702) - -9. What is t rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005368 rounded to seven decimal places?\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1928*r**2*u**2 - 3*r**2*u + 3288*r**2 + 13*r*u**4 - 2*u wrt u?\nAnswer: -3856*r**2 + 156*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, b: 1, h: 1, p: 4, w: 7, s: 2}. Give prob of picking 1 b, 1 p, and 2 w.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -7, 39, 95, 161, 237?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w**2 + 0*w + 3 + 4*w - 3 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-155)\/(-62)*4\/5. Solve a*m + 5*m = 6*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18941923?\nAnswer: 7, 11, 13, 127, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**4 - h**3 + 2*h**2 - 1. Let s(t) = -32*t**4 - 3*t**3 + 6*t**2 + 95. Let u(d) = 3*n(d) - s(d). What is the first derivative of u(k) wrt k?\nAnswer: 116*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o + 8. Let l(d) = 11872*d + 5. Calculate a(l(w)).\nAnswer: -154336*w - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 251, -5, -1, 1 in decreasing order.\nAnswer: 251, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h - 1 - 1 + 5*h**2 - 4*h**2. Let x be (5\/15)\/((-1)\/(-12)). Suppose x*j - 3*n + 30 = -j, 5*n = 0. What is p(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -108 - (0 + -2)*-2. Let n = u - -126. What is the remainder when 21 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/70*2*(-28)\/49\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - 12*r - 2. Let k be d(7). Suppose k*p + 16 = -32. Let i = -0.03 + -0.97. Put 5, p, i in decreasing order.\nAnswer: 5, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 153\/28499 or 0?\nAnswer: 153\/28499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13602602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 137848 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: What is the cube root of 106267091 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101001011 - 1010001010001?\nAnswer: -100100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -24. Let x(j) = -2*j + 1. What is the units digit of x(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -552, -1116, -1682, -2250, -2820?\nAnswer: -3392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26424411 to the power of 1\/2, to the nearest integer?\nAnswer: 5140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 smaller than 183285613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**4\/102 + t**3\/17 - 2*t**2\/17 - 7*t + 7. Let y(b) be the first derivative of p(b). Suppose y(z) = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v\/v**0*v**(-8))**43 assuming v is positive.\nAnswer: v**(-215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 PM and 11:25 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1950 - -1947. Which is the biggest value? (a) 93 (b) -2\/11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 g when four letters picked without replacement from {g: 6, i: 13}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/10)\/p**(-2\/27))**3\/((p*p\/p**(2\/5))\/p**(-1\/2)*(p\/p**2)\/(p*(p**(1\/11)\/p)\/p)) assuming p is positive.\nAnswer: p**(-1033\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -1 - 3*i**2 + 0*i**2 + 1. Let q(u) = -u. Let k(s) = -a(s) - q(s). Find the second derivative of k(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4190582 millimeters in nanometers?\nAnswer: 419058.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, -0.11, -4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -333.6 - -37.6. Let u = o + 296.5. Sort -0.4, u, 2\/21, 8 in decreasing order.\nAnswer: 8, u, 2\/21, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3*r**3 - 7*n**3*r + 8*n**2*r + n*r**4 - 2*r**4 - 2*r wrt r.\nAnswer: 6*n**3*r + 12*n*r**2 - 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.25 - -0.55. Let l = 68.9 - 64. Let h = 5 - l. What is the second biggest value in -1, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1409233?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 2:22 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29522731?\nAnswer: 7, 23, 233, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**7\/30 - 7*l**5\/60 - 5*l**2\/2 + 5*l. Let z(c) be the first derivative of t(c). What is the third derivative of z(f) wrt f?\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.18586616 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 424 + 156 = 0. Let t = v + -80. 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: Let o = 30 + -28. Find the third derivative of 4 + 2*d**3 + 47*d**2 - 103*d**2 - 20*d**4 + 53*d**o wrt d.\nAnswer: -480*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*g - 33, 5*t = 2*t + g + 25. Suppose 0 = -5*w - u + t, 0 = -w - 3*w - 5*u - 7. Does 24 divide (26 - w) + (-2 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:49 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 54291284082274 and -0.4?\nAnswer: 54291284082274.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267*l - 43*l**5 - 1 + 1 + 39*l**5 + 51*l - 18*l**3 wrt l?\nAnswer: -80*l**3 - 108*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250*a + 24 = 258*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 130*b - 377 - 6175. Calculate the highest common factor of 650 and b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -22, 0, 43, 1, 2 in decreasing order.\nAnswer: 43, 2, 1, 0, -22, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 60?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 32587677?\nAnswer: 65175354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*f**3 - 1353188*f**2 + 1353188*f**2.\nAnswer: -97*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 + 2793*i - 2792.\nAnswer: -(i - 2792)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -25a (base 15) in base 9?\nAnswer: -654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31776764 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 - 0.18. Let p = -6 - -10. Let t = p - 7. Which is the third smallest value? (a) t (b) f (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25371146?\nAnswer: 2, 12685573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 293 + 9*c**2 - 293 + 15*c + 9*c**2 wrt c.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2711051.04 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5*a = 17, -2*j + 6*j + 3*a = 17. Solve -2*k + j*u - 6 = 0, -3*u = -6*u + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 61165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -38, -52, -64, -74, -82, -88?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 418 = 4*r - 3*v, 2*v = 4. Suppose 0 = -4*q + 20, 5*l - 48 - r = 4*q. What is the remainder when 97 is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 194*c**3 - 2*c**2 + c. What is the tens digit of o(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(-6 + (-54)\/(-12)). Suppose 280 = a*o + 2*d, -2*o + 3*d = -0*d - 191. What is the remainder when 279 is divided by o?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/593436 and -59\/5228.\nAnswer: 775620852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27\/9*2*(-3)\/(-9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 22 + 13*w**2 + 12 + 19*w**3.\nAnswer: 19*w**3 + 13*w**2 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 2*z + 24, -5*z = -46*w + 45*w + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -236 + 371. Suppose -5*q = -110 - c. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = j - 18, -g = 2*j - 31. Suppose -j = -0*c - c. Calculate the remainder when c is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from bzmmfbdd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 3 - -2) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 568 divided by 44\nAnswer: 142\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 85 - 89. Let t be v\/5*(-3 - 2). Differentiate 6 - 11*n**t - 2*n**4 + 12 with respect to n.\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1450.8 times 0.0044?\nAnswer: 6.38352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -33782\/3 not equal to -11261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 o when four letters picked without replacement from {k: 6, o: 1, f: 3, e: 1, p: 6, r: 3}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-two fifths of a century?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7889 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2 - 8. Let b(t) = 2*t**2 + 5*t + 4. Let y be b(a). Solve -2*q + 1 = -y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (0 - -1) - -3 - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/5 - 441*p**2\/5 + 6374*p\/5 + 6816\/5.\nAnswer: (p - 426)*(p - 16)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101011 + 10011101?\nAnswer: -1010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 + 3*j**2 - j - 2. Let k be p(3). Let f = k - -8. Let m(w) = w**2 - 4*w. Let v be m(7). What is the highest common factor of v and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8297 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -62695310 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-4))\/((-3)\/(-8)). Suppose -5*g - 3 = -3*v, -3 + 4 = 5*g + v. Suppose -t = -g*t - 2. Is u greater than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ac (base 13) to base 8\nAnswer: -216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(448) - (sqrt(28) + (sqrt(140) - sqrt(140)*-2)\/sqrt(5)))\/(sqrt(100) + 2*sqrt(100) + (sqrt(4) - sqrt(100))*2))**2.\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 842746.93 + -828442. Let v = 14365 - u. Round v to the nearest integer.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.77707974 rounded to one decimal place?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1761 + 1758. Sort 1.2, 5, -8, p.\nAnswer: -8, p, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 9:46 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108942 - -0.65.\nAnswer: -108941.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of i - 8 + 1\/2*i**2. Suppose 3*y + 18 = -r, -4*y + 3 = -3*r + 1. Let h(k) = -8*k - 7. Determine r*g(n) - h(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -13*a**2\/2 + 54*a + 81. Let q be w(4). Solve 0 = 8*r - q*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1055 + -1054. Let l(z) = 1 + 2*z - 13*z**2 - z + 8*z**3 - 6*z**2. Let h(d) = -d - 1. Let c(q) = r*h(q) + l(q). Find the third derivative of c(m) wrt m.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**10\/15120 + w**8\/3360 - 5*w**4\/24 + w**2. Let q(t) be the second derivative of f(t). Factor q(x).\nAnswer: -2*x**3*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87 divided by 2\nAnswer: 87\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 5*f + 4*f)*(-2 - 1 + 1)*(-4 - 3 - 6) + 1 - f - 1 + (-4 + 1 + 1)*(f - f - 2*f) in the form y + n*f and give n.\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44968 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: Simplify s**(-17)*s*s\/s**(-4\/5) assuming s is positive.\nAnswer: s**(-71\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-504)\/(-154))\/3)\/(-1)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215550 and 16650?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2636.279 micrograms to grams.\nAnswer: 0.002636279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12858 - 12857.99978935. What is r rounded to six decimal places?\nAnswer: 0.000211","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-63) + 4\/18. Suppose k = -2*j + 3 - 9, -3*i - 3*j = -561. Is 190 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -229b + -1852?\nAnswer: -3b20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*9141\nAnswer: -9141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-54))\/((-29)\/30 - -1). Let s(v) = 32*v**2 - 16*v**2 - i*v**2. Let r(x) = -2*x. Let k(t) = 9*t. Let d(m) = 5*k(m) + 21*r(m). Calculate s(d(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 2) + 0 + 1 + -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 3\/2, -0.2, 5 in decreasing order.\nAnswer: 28, 5, 3\/2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.076*-2.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3*i - 5*z = -5, -5*i - 12 = 2*z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 9:52 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 9*t + 5. Let y be c(-6). Find the second derivative of 9*b**3 - 28*b**3 - 4*b**3 + y*b wrt b.\nAnswer: -138*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 7, z: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.381 + -154.381. Let z = t - -154.0028. What is z rounded to 4 dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f + 2. Let b be g(-1). Let o be (b - 1)\/(6\/(-3)). Suppose 52 = -o*m + 4*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2636162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 205, 1067, 2581, 4747?\n\"Answer: 326*x**2 - 116*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -372 - -687\/2. Find the common denominator of z and -47\/13.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1916 = 28*t - 30*t - 4*l, 2*t + 2*l = 1918. What is the greatest common factor of 60 and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 - 13*z + 16*z - 2*z**3 - 4*z in the form f*z**3 + w*z + n + v*z**2 and give n.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**3 + 8*f - 58. Let p(l) = -10*l**3 - 9*l + 57. Let n(v) = 6*b(v) + 5*p(v). What is the first derivative of n(t) wrt t?\nAnswer: -6*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 35. Let d be 0\/(20\/w + -5). Let n(m) = -m**3 - m**2 - m + 72. Is 30 a factor of n(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24201122 + -111?\nAnswer: -24201233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*(2*sqrt(612) + -5 + 2 + sqrt(612) + -1 - -2*sqrt(612)*-1*-3))**2.\nAnswer: -43200*sqrt(17) + 4958800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 0.3 (b) 14 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 337 = 193. Let g be l\/10 - 4\/(-10). Suppose -5650*n - 245 = -5699*n. Solve 0 = n*i - 4 - g for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z. Let i(j) be the first derivative of 3*j**4\/8 - 19*j**2\/2 - 18. Let b(o) be the second derivative of i(o). Calculate n(b(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 7:45 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 403*a**5 + 679*a**2*k**2 - 7*a*k**2 + 4*a*k - 2*k**2 + 115*k - 2 wrt a.\nAnswer: 8060*a**3 + 1358*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 14*x - 4. Let w(t) = -7*t + 2. Let u(f) = -13*w(f) - 6*y(f). Let a be u(2). Suppose -2 = o - a. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)*2)\/sqrt(10) + sqrt(147)*-2 + 1)**2.\nAnswer: -12*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.3 (c) -5 (d) 37\/8 (e) 1\/3 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 + d + 1. Let y(c) = -34*c**2 - 3*c - 2. Determine -4*v(a) - y(a).\nAnswer: 18*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - o + 7 = 2*p, -2 = -2*p + 2*o. Suppose 24*b - 27*b = -48. Solve p*t = -0*t - b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**4 + 17419*m**3 + 18774*m**2 + m wrt m.\nAnswer: 48*m + 104514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1568 and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(l**(1\/6)*l)*l*l)**(-2\/57))**(-17)*(l*(l\/(l\/(l\/l**0)*l))\/l)**(-18)*l**(-4)*(l**(-6)\/l*l)\/l assuming l is positive.\nAnswer: l**(-1592\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -2\/3*h**4 + 0*h - 3\/5*h**5 + 23\/168*h**7 + 2\/3*h**3 - 2 + 11\/448*h**8 + 11\/120*h**6 - 98*h**2. Let c(l) = 0. What is l?\nAnswer: -2, -2\/3, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -2. Let l = 6 - u. Let k = -0.7 + 1. Which is smaller: l or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 3. Let v be 2\/7 + (-51)\/d. Let z = v + 17. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9738 and 16056?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131 - 0?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2. Let g(h) = -32728*h. Calculate o(g(v)).\nAnswer: -1071121984*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 36*l + 78. Is x(16) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/7 - 3804*l**2\/7 + 3798*l\/7 + 7604\/7.\nAnswer: 2*(l - 1901)*(l - 2)*(l + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 969, 8360, 28551, 67920, 132845, 229704, 364875, 544736?\nAnswer: 775665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2296)\/(-336) - (8 - 1). Which is the fourth smallest value? (a) s (b) 0 (c) 0.4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 115839 by -211.\nAnswer: -549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**10\/226800 + y**5\/20 - y**2. Let n(k) be the third derivative of r(k). Let n(h) = 0. What is h?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/12? (a) 1 (b) 2\/21 (c) 0.4 (d) -3 (e) 18\/7 (f) -19.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 23. Let c be y(18). Suppose -t + 4*q = -14 - 3, -c*q = 15. Solve t*f - 7 = 3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -275.9 - 37.1. Let s = 313.0000113 + n. What is s rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1011 - -1022.488. Let x = t + -11.6. Let b = -8.112 - x. What is the closest to b in -0.1, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g - 50. Is 10 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 132*s + 1440. Calculate i(-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 2*w**3 + 4*w**3 + 32*w**2 + 30 as q*w**2 + p + d*w**3 + h*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596 is divided by 97?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 156 - 66 = 0. Let v be (-6)\/c + (-10)\/(-3). Find the second derivative of 4*a - 6*a + 2*a**v + 3*a wrt a.\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, u: 12}. What is prob of sequence guug?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**2\/7 + 32364*q\/7 - 384336 = 0.\nAnswer: 84, 8007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1317264 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a week?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-4)*(-12)\/3. Is 17736\/56 - 4\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.13 + -10.2. What is the nearest to -1\/3 in g, -2, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -0.12 (b) -17.93 (c) -0.5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001312422 rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (3045\/(-13050))\/(((-7)\/(-6))\/(-7))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**4 - w**2 + 1 + w**3 + 2*w - 3 - w**4 - 2*w**3 as n*w**2 + c + p*w**3 + o*w + y*w**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -226451 and -11770301.\nAnswer: -11996752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/42 and (-131)\/42 + (-42)\/(-8)*(-60)\/(-45).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 105 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -8. Suppose -i + b = -130, h*i - 2*b = -0*b + 647. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9836, -9679, -9524, -9371, -9220, -9071, -8924?\n\"Answer: -j**2 + 160*j - 9995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - 62 - 104 + 5*y + 203)*(6*y - 9*y - 3*y) in the form h*y + p + t*y**2 and give t.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 120\/140*1*2\/6\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-292)\/21 + (-3975*(-13)\/(-819) - -63).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49299, -8, -5, 2 in increasing order.\nAnswer: -8, -5, 2, 49299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -6. Let t = k - -5. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 80*t + 42. Let r be n(0). Solve -r*c + 35*c = -28 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8365, 2\/165, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 27609400 to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121309673 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-5))\/((-2)\/5). Let c(v) = 6*v**3 - 81*v**2 + 9*v - 11. Let u(a) = 2*a**3 - 29*a**2 + 3*a - 4. Let s(m) = -4*c(m) + 11*u(m). Give s(f).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1.3, 1.398, 0.3, -0.5?\nAnswer: 1.398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14482688 is divided by 1072.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-12) - (-3 - (-6885)\/(-20)). Find the third derivative of 146*p**5 - 707*p**2 + 352*p**2 + c*p**2 wrt p.\nAnswer: 8760*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 + 8\/(-6). Let o = -2.9 + -2.1. Put q, o, 4 in decreasing order.\nAnswer: 4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eggg when four letters picked without replacement from ggggggggeegg?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2805 + 973. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/7 - 564104*r**2\/7 + 5681897216*r + 477360600576\/7.\nAnswer: 2*(r - 141032)**2*(r + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/(-21)*-1)\/1)\/(1\/24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3951315673 to the nearest integer?\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59337.09 minutes to days.\nAnswer: 41.2063125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 - 561 = -14*r - 249. Suppose -n + 15 + 15 = 0. What is the least common multiple of n and r?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.762148 litres to millilitres.\nAnswer: 1762.148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61534 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f - 5 = -p, -p = -4*f - 8. Is 2\/p*(74 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.2 - -7.7. Let l = -0.2 - -0.1. Let b = l + p. Put 2\/13, b, 0 in ascending order.\nAnswer: 0, 2\/13, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (-1 + -2 + 1). Let m = -60\/13 - -446\/91. What is the closest to m in i, -1, 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21085, 21081, 21075, 21067, 21057, 21045?\n\"Answer: -r**2 - r + 21087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3207?\nAnswer: 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(3) + -1)*4 + 1 + sqrt(3) + 5 + sqrt(3))**2 - (((sqrt(3) - (sqrt(3) + 1))*3)**2 + sqrt(3)*-1*1 + -4).\nAnswer: 25*sqrt(3) + 106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 1, -4, -1 in descending order.\nAnswer: 6, 1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -9\/20192?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -395, -2590, -8395, -19616, -38059, -65530, -103835?\nAnswer: -154780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)\/(1*sqrt(5)))\/(3*(sqrt(6) - sqrt(6)*2 - sqrt(6))))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**5\/60 - t**4\/3 + 5*t**3\/6 + 286*t**2. Let z(q) = q**2 - 7*q + 5. Give -6*b(o) + 7*z(o).\nAnswer: o**2 - o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 9*p + 314. Determine t(-25).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -787*j + 1335*j - 534*j.\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -26*c + 30*c. Suppose 0 = 5*h + 12 - 2, c*h - 65 = -f. Sort 2, f, 4, -1.\nAnswer: -1, 2, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 6)*(-2*f - 3 + 3) + (-1 - 1 + 0)*(-10*f - 1 - 1 + 3).\nAnswer: 18*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - g + 4, 8*g + 8 = -5*c + 10*g. Solve 7*q - 10*q = c for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u + 9. Suppose 5*m = 2 + u. Suppose 45 = q - m. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8223.\nAnswer: 3, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -5.8, 1\/3, -4\/7, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 - -2. Let v = 0 + -3. Suppose 6 + 9 = 3*g. What is the second smallest value in v, j, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24312165?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-1280)\/(-480))\/((-4)\/9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11377507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4754 - -1144?\nAnswer: 6120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8952602 tonnes in nanograms?\nAnswer: 895260200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -38051159.878 rounded to the nearest one hundred thousand?\nAnswer: -38100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -184?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -4*f**7\/5 - 103*f**5\/30 + 75*f**2 - 7. Let d(b) be the second derivative of w(b). Find the third derivative of d(r) wrt r.\nAnswer: -4032*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/69 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -31*x**2 - 5884*x + 7129. Give z(-191).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a factor of 1606139625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(13\/3)*q*q\/q**(-3\/11))**(30\/7) assuming q is positive.\nAnswer: q**(2180\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/440 + 26\/(-65))*48\/7.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.173802 rounded to four dps?\nAnswer: 0.1738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-6) - 19\/57. Suppose -54 = -5*k + 4*p + 24, -4*k - 5*p + 87 = g. Which is greater: k or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l + 0 - 1\/2*l**3 + 0*l**2. Let w(m) = 5*m. Determine w(p(g)).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55268602 a multiple of 445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or -85515?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s - 0 - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 108 (base 11) to base 14\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - -0.3. Let t = 51 + -49. Which is the second smallest value? (a) t (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2779)\/(-49) + (-4)\/(-14) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 * -4.9\nAnswer: 186.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 24087 + 11828 + 11975)*(3 - 2 + 0).\nAnswer: 3*j**2 - 284","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kokokkkkkokkkkoooooo. Give prob of sequence okoo.\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -5*(2*(sqrt(245) - (3 + -1*sqrt(245))) + 1))*-5)**2.\nAnswer: -196000*sqrt(5) + 2469600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jczxcx. What is prob of picking 2 c and 1 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7588, 7358, 7126, 6892, 6656?\n\"Answer: -i**2 - 227*i + 7816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.54.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6807.999997528 - -6808. Round r to 7 dps.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 10. Let w = -3 + y. Let x be 6\/15*w\/1. Which is the second smallest value? (a) x (b) -3\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26728?\nAnswer: 2, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6138 and 806.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 17992 to the nearest 100.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 394, 2 in descending order.\nAnswer: 394, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 5, 12, -89 in descending order.\nAnswer: 12, 7, 5, -4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 7*k + 8. Let o be y(-4). Suppose 0 = 4*q - 0*q + 4*w - o, -w = 5*q - 35. Let b(f) = f**2 - 35. Let r be b(q). Solve r = -4*d + 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - s**2 - s + 6. Suppose 4*c - 65 = -101. Let i(o) = -o**3 - 7*o**2 + 9*o - 1. Let u be i(-8). Let v = c - u. Calculate p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*k**2 + 0*k**2 - 2*k**2)*((2*k + 2*k - 6*k)*(1 - 4 + 2) + 139 - 115 + 3*k + 124) to the form w*k + v*k**3 + f*k**2 + j and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*p - 5 = 0, -5*b = p + 4*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 2a?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c - 27. Let k(z) = -6*z + 29. Let f(d) = 2*k(d) + 3*x(d). Let w(u) = -7*u + 12. Give -6*f(n) - 13*w(n).\nAnswer: n - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -25, 2*l - 2*w + 8077 + 73 = 0. Is l less than or equal to -4079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -65*c**2 + 17*c - 41. Let k(a) = -32*a**2 + 8*a - 19. Let y(x) = 4*i(x) - 9*k(x). Let s be y(1). Solve -4*b + 3*g = -3, 4*g + g + s = -2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 444*x - 120324. Determine d(271).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56337617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35953 (b) -5\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 11*n**2 + 12*n - 2. Let d(v) = -v**3 - 12*v**2 + 13*v - 3. Let k(z) = 5*d(z) - 6*y(z). Give k(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44.999932 + 45. Round x to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -2*n - 3*x + 46, 0 = 5*n - 4*x - 255. Solve -4*t = n*k - 46*k + 5, 3*t = -k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13354333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10 - 28 = -3*l, 0 = -l - 3*c + 14. Let z(v) = v**2 - 11*v + 14. Let s be z(l). Solve 2 = 4*g + s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(7) + 2 + -1 + (sqrt(7)*-1 - sqrt(7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x - 1. Let r(u) = -6*u**2 - 4*u - 7. What is r(h) - 5*v(h)?\nAnswer: -6*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*z - 117 = -4*d, -2*z - 4*d = -11*d + 8*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 124*o + 707. Give v(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 18393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 629809249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4793968549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/6 (b) 4\/5 (c) 3\/2 (d) 74215\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6349*-0.06\nAnswer: -380.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 11*c**2 - 5*c + 7. Let k be j(3). Suppose 0 = 3*g - 3*d + 144, 0 = 4*g - 0*g + d + 187. Let t = g + k. Is t a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**26\/((x\/(x*x**(14\/9)*x))\/x*x) assuming x is positive.\nAnswer: x**(257\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 5*n = 982. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o + 128. Calculate m(2).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/3, 2\/7, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 12*p**2 - 13*p + 1. What is f(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252838764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33652 by -4.\nAnswer: -8413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.2 - 0.2. What is the second biggest value in 28, 2\/7, b, -1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 2*o**2 - o**2)*((2 + 2 - 3)*(-3*o**2 - 2*o**2 + 6*o**2) + 0*o**2 - 5*o**2 + 2*o**2 - 175*o**2 + 281*o**2 - 231*o**2).\nAnswer: -254*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 153, 237, 381, 585, 849, 1173?\n\"Answer: 30*l**2 - 6*l + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 11:21 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24845?\nAnswer: 5, 4969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t + 9. Let n be 2\/(-7) - 102\/(-14). Let h be g(n). Solve -i - 6 = h*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 22. Let n be x(10). Suppose -k = 4*l - n, -l - 8 = l. Suppose -20 - k = -4*j. Calculate the greatest common factor of j and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8365, 8613, 8861, 9109?\n\"Answer: 248*i + 8117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/8 + (-182)\/(-26).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - ((-5 - 10) + 25)) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3246, 12963, 29160, 51843, 81018, 116691, 158868?\nAnswer: 207555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1.5, 3\/5, -0.5, -122, -0.3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016959 to 5 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + -12 - (-31 - (3 + -14))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2 + 1088236*m + 67478320 = 0. Calculate m.\nAnswer: -62, 544180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwmnvwpmnw. Give prob of picking 2 n.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -44368.\nAnswer: 5\/44368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) 0.2 (c) -1020 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of 2*h**3\/3 - 134*h**2 - 270*h - 729. Suppose p(i) = 0. Calculate i.\nAnswer: -1, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-1 + -5 - -3)\/((-15)\/590) and 12.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*v - v + 5, 0 = -2*v + 3*q + 19. What is the remainder when v is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 8:43 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lum when three letters picked without replacement from mluwmjujmj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25167462 is divided by 548.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072090279?\nAnswer: 13, 82468483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.52 + 1.9. Let k = y + 0.12. Let n = 0.7 + 0.3. Which is the closest to n? (a) 5 (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + -34 - (-11 - -3) - (-20 + -20)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 161, 386, 763, 1292, 1973?\n\"Answer: 76*z**2 - 3*z + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*n - 2 = 10, 28 = 5*x + 4*n. Suppose -f - 57198 = 4*y, 0*y + x*f + 71492 = -5*y. What is y rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 0*i**5 + 0*i**2 - 35 - i + 0*i**4 + 9*i**3 + 136\/3*i**6. What is the third derivative of o(p) wrt p?\nAnswer: 16320*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -126*a + 27125. Calculate t(213).\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 2603.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 7) in base 15?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/(-20))\/(12\/(-204216)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4324 + 0.0898?\nAnswer: 5.5222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 7*y**2 + 5*y - 3. Let s be h(-6). Let j be (-10)\/(-35) + 66\/14. Suppose -j*v + 14 + 6 = 0. Solve -s*z = -2*z + v for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a second in milliseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(640)*3)\/(sqrt(10)\/(2*sqrt(2))).\nAnswer: 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48.2 - -48. What is the fourth biggest value in 1, -1, 5, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x + 18. Suppose -10 = u - 48. Suppose 5*f = 4*q - 25 - u, 3*q - 71 = -f. What is the units digit of y(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of 3*q**4\/16 - 27*q**3 + 1458*q**2 - 34992*q + 162. Find i, given that s(i) = 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/((-238)\/6783)*5\/((-10)\/(-8))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 479 + 108. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2*(-4 + sqrt(1100)*2 + sqrt(1100) - (2*sqrt(1100)*3)**2).\nAnswer: -60*sqrt(11) + 79213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + sqrt(19))**2 + (2 + sqrt(19))*-6.\nAnswer: -4*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(4 - 4 + 2)*(8*a**3 + 2*a**3 + 3*a**3 + (-a + a + 4*a)*(3*a**2 - a + a)).\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, -1, -27, -75, -151, -261?\n\"Answer: -j**3 - 2*j**2 + 3*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 121*g + 776. Determine j(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -138325, -553036, -1244135, -2211622, -3455497, -4975760?\n\"Answer: -138194*h**2 - 129*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (5 + (1 - (3 + -3)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12*4282660\nAnswer: 51391920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 35, 52, 69, 86, 103?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 22283.11 meters in millimeters?\nAnswer: 22283110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3631 times 2?\nAnswer: -7262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 + 0*h**2 + 3*h + 11*h**2 - 10602.\nAnswer: 7*h**2 + 3*h - 10602","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -108, -106, -104, -102?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3213 (base 4) in base 15?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*u + 1267, -2*t - 861 = -u - 8. Let d be 1041 + (-1 - 0\/(-1)). Let b = d + t. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/(3*(-4)\/(-48))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/10)\/(299\/(-17940)). Calculate the highest common divisor of a and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s + 63 = -2*v, 0 = 3*s - 2*v + 41. What is the second smallest value in -2\/9, 0, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1130, 2264, 3398, 4532, 5666?\n\"Answer: 1134*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-108))\/(1\/(-9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-2 - 0) + (10 - 11).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.71 - -2.7. Let j = -2\/8635 + 5183\/8635. What is the third biggest value in 2\/15, -2, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3, -51 = -0*q - 3*q - 3*p. Suppose -3*c + 29 - 5 = 0. Suppose -1 = -x, -c*b = -6*b + 5*x - 339. Calculate the remainder when b is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 215 (base 6) to base 11\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 116089 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 4. Let u(i) = -3*i - 1 - 4 - 2 + n*i. Give u(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 278 - 141. Let k = -543\/4 + j. Let w be 1\/(-1) - 4\/(-3). Which is the nearest to -0.1? (a) w (b) k (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246*c + 215*c - 124 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71 - 67. Suppose -x*v + 3*k + 672 = -v, 4*k + 236 = v. Is 22 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*x**6 + 1085*x**4 - 306*x**2 + 2 wrt x.\nAnswer: 240*x**3 + 26040*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.102*0.25.\nAnswer: 0.0255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13721, 13820, 13919, 14018, 14117?\nAnswer: 14216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -40. Let m(r) = -r**2 - 19*r - 4. Let t be m(a). What is the common denominator of t\/6 - (-849)\/180 and 77\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 4*d = 34, 38445*b + 3*d = 38448*b + 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v. Let c(n) = -2*n**2 + 56*n. Give l(c(f)).\nAnswer: 4*f**2 - 112*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 118*x - 1 + 141*x - 1 + x**2 - 262*x. Let k(s) = s**3 - 5*s**2 + 5*s - 1. Let r be k(4). Determine h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14*40\/350*5 + -6. Solve p*g = -5*f + 13, -28*f - 4 = g - 29*f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185163*d**2 - 102285*d**2 + 84621*d**2 - 47070*d**2 + 3*d.\nAnswer: -249897*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5556*x**2 - 5544*x**2 - 21372*x**3 + 11098*x**2.\nAnswer: -21372*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0166905 rounded to three decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 2*w + 7. Suppose 1038 = 223*s + 369. Solve 6 = s*y + 2*t + t, -t = w*y + 6 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5931491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121846 = 2868*d - 48245 - 191277 for d.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-26)\/117 - 600\/(-27) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 6*k + 6, -3*k + 5*j = 10 - 7 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -267824 (base 12) in base 7?\nAnswer: -5254231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 82423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(84\/20 - 4). Which is the third smallest value? (a) -12 (b) j (c) 2\/7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*b + b + 3*b)*(-3*b**3 - 155*b**2 + 2*b**3 + 264*b**2).\nAnswer: -2*b**4 + 219*b**3 - 109*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35 * -0.7.\nAnswer: -24.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h. Let p(s) be the second derivative of s**7\/1260 - s**4\/2 - 19*s. Let z(n) be the third derivative of p(n). Determine z(j(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 115842 and 5.\nAnswer: 579210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in 4, -11\/4, 1, 20, -1\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8 = 32. Let t(g) = -4*g + 10. Let f be t(-5). What is the greatest common factor of f and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 626*z**3 + 30*z + 33*z**2 - 204*z**3 - 5*z**4 - 213*z**3 - 8*z**2 - 219*z**3.\nAnswer: -5*z*(z - 2)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*t + 14*t - 17*t - 4*j, 42*j = -4*t + 130 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (sqrt(272))**2).\nAnswer: -1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -962.64838 rounded to the nearest integer?\nAnswer: -963","meta":{"dup_signals":{},"source":"numbers__round_number_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 s(c) = 6*c - 6. Suppose -2*x + 7*x = -15. Let l(j) = -7*j + 7. Let i(r) = x*l(r) - 4*s(r). Determine i(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**3 - 12*l**3 - 4*l**3 + (l - l**2 - l)*(-3*l - 4*l + 5*l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - q + 87 - 84 = 0, -2*c = 5*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38230, 76469, 114696, 152905, 191090, 229245, 267364, 305441?\n\"Answer: -l**3 + 38246*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 6 = -13*f. What is the fourth smallest value in -0.3, f, 3, -3\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -59, 0.1, -446, 10 in descending order.\nAnswer: 10, 1\/5, 0.1, -59, -446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**2 - 79*l - 13. Determine v(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 93592440 divided by -60?\nAnswer: -1559874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 1:44 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 59864.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/7407 and -8\/140287757.\nAnswer: 1262589813","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 0*g + r - 17 - 7, 540*g - 533*g = -4*r - 114 + 39 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 129860 and 77916?\nAnswer: 389580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14 + (-156)\/140.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83696961 to the power of 1\/2, to the nearest integer?\nAnswer: 9149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 - 1201954214517.\nAnswer: -1201954214509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11476 divided by 4.\nAnswer: -2869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 1. Suppose -4*q = -5*x - 104, -x - 10 = -3*q + 13. Let t(f) = 28*f - 16. What is x*w(r) + t(r)?\nAnswer: 8*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/15))\/(r*r\/r**(-2\/17)))**(-36) assuming r is positive.\nAnswer: r**(3828\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2406676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (1 - -1) - -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/11)*(q**5*q)\/q*q)**(-46)\/((q\/(q\/(q\/q**(-1\/4)))*q)\/q**3)**(4\/5) assuming q is positive.\nAnswer: q**(-18137\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6 = 42. Let n be 10 - 4*(1 - (-3)\/o). Solve 3\/5*b**3 + 2\/5*b**n - 1\/10*b**2 + 0 + 0*b - 9\/10*b**4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 194 + 189 + 3*a - 372 - 5*a + 4*a. What is the least common multiple of (9\/(-6))\/((-2)\/4) and f(17)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*k**2 - 107799*k + 50879031.\nAnswer: 20*k - 107799","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 151, -4, 5.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1564)\/12*-6 - -4. Let w = j - 778. Suppose 56 = 3*g - 1. Calculate the remainder when g is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -1, -1027 in ascending order.\nAnswer: -1027, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-46)*p)**38*(p\/(p\/((p\/(p\/(p*((p\/(p*p**(7\/8)))\/p*p)\/p)))\/p*p)))\/(p\/(p*p**(-5)*p)*p*p))**(-4\/3) assuming p is positive.\nAnswer: p**(13735\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 837 = 25*t. Suppose -2 = s, j = -s + t + 587. Is 28 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djdwsvjl. What is prob of sequence lvd?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j\/(j**(1\/7)*j))*j))\/j**(-7))**(-6\/17)\/((j**(2\/5))**(-10\/7)\/(j**(-1\/2)\/j*(j**4*j)\/j)) assuming j is positive.\nAnswer: j**(19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -39238.\nAnswer: 25\/39238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 26363384?\nAnswer: 52726768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a centimeter?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) -48 (b) 0 (c) -0.019\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + 306880\/196. Suppose 5*f - h = -2*a + 1374, 1176 = 2*f - 3*a. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from qbbbqqbbqqbq?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1292\/(-13566))\/((-3)\/(-294)*8).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4)*(-3 + 4 - 4)*(-5*p**3 + p**3 - 108*p**2 + 129*p**2).\nAnswer: -12*p**3 + 63*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 5:45 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 8*j**2 - 7*j + 7. Let k = 22 + -42. Let b = k - -13. What is the units digit of a(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 5:19 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -22*j**3 + 8*j. Let m(p) = p**3 - p. Let n(b) = -6*m(b) - x(b). What is the second derivative of n(d) wrt d?\nAnswer: 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -248?\nAnswer: 7\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(1\/2))\/b*b)**36)**(1\/4) assuming b is positive.\nAnswer: b**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 9. Differentiate -1 - 4 + c*f + 3 wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21006 and 33966.\nAnswer: 13212774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5088624469 to the power of 1\/2, to the nearest integer?\nAnswer: 71335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -3*z + 13 - 16, -2*l = 3*z + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**4 + 582*s**3 - 1764*s**2 = 0.\nAnswer: -294, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -38)*2386\/(-132423).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(0 - -20) + 4\/16.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g - 6*g = -2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2 - (-19)\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dyyydyy. What is prob of sequence yy?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:19 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2047 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 14*i + 16. Let q be b(-5). Let o(l) = 5*l**3 - 4*l**2 + 4*l + 1. Let r(f) = 6*f**3 - 5*f**2 + 5*f + 2. Determine q*r(y) + 5*o(y).\nAnswer: y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 46*u**2 - 90*u - 75. Let b be q(-44). List the prime factors of 8\/(-3)*b*390\/(-20).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(23\/5083*-39)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 225958973 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4303112712.\nAnswer: 2, 3, 9967, 17989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -30*q + 680. Let j be f(22). What is the highest common divisor of j and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 6458545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from mmnmnnmmnmnnnmnn.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/261, -6, 1\/3, -79?\nAnswer: -4\/261","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.302 - 4.302. What is the third smallest value in c, 3, -0.15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - 7*q**4 - 4 + 6*q**4 - 6*q + 7*q to the form d*q**2 + a*q**3 + j + g*q**4 + c*q and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237835?\nAnswer: 5, 13, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 0. Let y be 8\/(-12) + w\/3. Suppose y = -h - 2, 17 = 2*q - 3*h - 9. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 1 + 1 + c - 5*c + 5*c + (2 + 0 + 0)*(0*c + c - 3*c) - 3*c + 2*c + 3*c + c + 0*c - 3*c)*(40*c - 59 + 59).\nAnswer: -200*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + j - 3*j = -48, 4*g = -5*j + 177. Suppose -2*t - m = 2*t + g, -2*t - 2*m - 16 = 0. Let c = t + 13. Solve 1 - c = -2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 5:18 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.068 - -88.932. Let u = r + -89.00089. What is u rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 8*i - 12. Let t be (-5)\/(-2 + (6 - 3)). Let k be a(t). Solve k*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-165)\/12*1\/5 + 3. Let s = 1 + -1.12. Sort s, y, -5.\nAnswer: -5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (640\/(-7600))\/(96\/90).\nAnswer: -3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5105.97 decades in centuries?\nAnswer: 510.597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 650.8349 weeks to hours.\nAnswer: 109340.2632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-35)*-1 - 2835003\/(-21). What is d rounded to the nearest ten thousand?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) -2 (c) -0.043 (d) -1 (e) -692\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/5 - 2861671*h\/5 - 2861666 = 0.\nAnswer: -2861666, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 1. Let c(t) = 4*t - 4*t - t. Suppose -2*q - 5 = -3*y, -3*q - 16 = 5*y + 1. What is y*l(n) - 5*c(n)?\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*f**4 - 369*f**3 - 575*f**2 + 83857834*f - 3 wrt f?\nAnswer: 144*f**2 - 2214*f - 1150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1394 divided by 309.\nAnswer: -1394\/309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -27. Suppose -20 = -2*j + 3*y - 6*y, i = 3*j - 3*y - 30. What is the least common multiple of j and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -222*g**2 - 13*g + 11. Let h(r) = -219*r**2 - 12*r + 14. What is -4*h(d) + 5*t(d)?\nAnswer: -234*d**2 - 17*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 - 3)*(-4 + 1). Let w be k\/(1\/(8\/(-6))). Suppose 5*x - 8 - 7 = 0. Sort w, x, -5 in increasing order.\nAnswer: -5, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 199*m**4\/4 + 189*m**2 + 65. Find the second derivative of v(u) wrt u.\nAnswer: 1194*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:10 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 594247203*v**3 - 686210608?\nAnswer: 1782741609*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6879706 and 68797060.\nAnswer: 68797060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 93. Let w = 439 - 451. Let c be 31\/(-1 + w\/(-6)). What is the greatest common divisor of x and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a meter in centimeters?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t - 28. What is h(0)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0 + 0)*(2*d + 2*d - 3*d) - d - 77 - 83 + 2*d**2 + 163.\nAnswer: d**2 - d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 41*c**2 - 7*c + 38. What is the units digit of z(-41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -33. Let x = -7.065 - t. Let s = x + 3.765. Round s to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h + 9. Let g(j) = -j**3 + 8*j**2 - 8*j - 3. Let f be g(7). Let x be p(f). Suppose 3*k - 5 = 4. Put k, -1, x in descending order.\nAnswer: k, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/11 and 43\/2443274.\nAnswer: 26876014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312528830.\nAnswer: 2, 5, 23, 1358821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -86676 divided by 3?\nAnswer: -28892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-44160)\/19872 - 626\/(-306)\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 - 1002?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 7)*(-w - w + 5*w)*(-1709 - 3*w + 1698 - 17*w) as i*w**2 + k*w + l and give k.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-11))\/r**(8\/5))\/(r**(-3))**22 assuming r is positive.\nAnswer: r**(272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzxzzzxz. Give prob of sequence xx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, j: 1, r: 2, c: 1, g: 1, y: 1}. What is prob of picking 1 j and 1 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 40 = -2*r, 9*r - r + 40 = 5*c. Let s be ((-3)\/(-3))\/((-2)\/(-6)). Solve -n + s = c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 149284 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2498*y - 23 + 4950*y - 2480*y + 6 as m + s*y and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + w - 6. Factor -2*r**4 - 2*r**3 + r + r - r**w - r.\nAnswer: -r*(r + 1)**2*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2. Let x be (-3)\/(12\/3 + 1 + -4). Let t(d) = -4*d + 7. Let h(u) = -2*u + 3. Let g(a) = x*t(a) + 7*h(a). What is m(g(r))?\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 3)*(4297 - 1914 + 2914 - 4*m + 2*m).\nAnswer: -6*m + 15891","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j + 38. Let t be r(-18). Solve 4*p - t*n = -10, -p - 2*n + n = -5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 256\/(-10) - 2\/5. Let m(l) = l**3 + 12*l**2 + 410*l + 6798. Let w be m(-15). Is n at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwqwccwwkwk. Give prob of sequence qk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (3 - (-2 - -8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -30*w**3 + w - 1. Let u be c(1). Let o be (-440228036)\/u + (-6)\/(-45). Let k = o + -5674268. Round k to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20761, 4, 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 - -568?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - 2*r - 6, -r = 5. What is the nearest to -0.1 in 0.02, z, 3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -c24f?\nAnswer: -c252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 2*f - 1 = 0, 9 = 50*c - 51*c - 4*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 0*k = -5*k, -2*b + 12 = -2*k. Factor 2\/17*p**4 - 2\/17*p**3 + 2\/17*p**b + 0*p - 2\/17*p**2 + 0.\nAnswer: 2*p**2*(p - 1)*(p + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1055 - -1058. Let f = -1 - -4\/3. Sort j, -3\/2, f in ascending order.\nAnswer: -3\/2, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - 7a?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 30985387, 30985398, 30985415, 30985438?\n\"Answer: 3*r**2 + 2*r + 30985382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i**(-4))**(-28) assuming i is positive.\nAnswer: i**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.035 + 0.035037. Round g to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 3. Let f(n) = -n**3 + 8*n**2 - 8*n - 5. Let a be f(7). Let w be a\/(-18) - 17\/3. Let s be u(w). Is 0 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-56)*-3)\/(1\/21*2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82767\/5 - 16553. Which is the closest to -5? (a) -3\/4 (b) 66 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21 - 42)*4 - -4.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291 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: What is 398 minutes before 6:31 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -14, 0, -0.2, -20, -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 3731504?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 - 162\/(-705). Let p(x) = 2*x**3 + 37*x**2 - 7*x + 228. Let c be p(-19). Which is greater: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16524 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-55)\/70)\/((-6)\/7). Let l = y + -5\/4. Let x = -31\/2 - -15. What is the closest to l in -0.2, -4, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.5, 7, -4, 5, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -1475307\/2 and -737654 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -286 + 997. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 4. Let c(w) = 2*w + 2. Let r be c(-1). Suppose 0 = -r*q - q + 2. Let b be -2 + 5 + q + -8. Calculate t(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/(-12)*(-171)\/(-6). Find the second derivative of 2*f - 21*f - 13*f**2 - 12*f - l*f wrt f.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t - 36*t = -68*t - 455 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8617 times 8.9?\nAnswer: -16.56913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1049 in 0.3, -63, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-5) + (-1629)\/15. Calculate the remainder when (-15)\/(-6)*(-3)\/6*p is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*(-42)\/63. Let f be 1 + (6 - 4) + y. Calculate the greatest common factor of f and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1090581 or 1?\nAnswer: -2\/1090581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 754 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 less than or equal to -2391\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.022928 to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 15\/((-45)\/(-7188)) + -6 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 3*j - 6 + 12, -3*j = 3*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/3*0)\/3. Suppose g = 2*d - 4, -d = 5*n - 4*d + 16. Put n, 4, -5 in decreasing order.\nAnswer: 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.24 - -27.76. Let k = j - 29. Which is the third smallest value? (a) -22 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l, i + 0*i + l = 0. Suppose -3*r + 7*r = i. Suppose -5*g - 20 = 0, -2*g - 77 = -r*s - s. What are the prime factors of s?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/30 + (-3)\/(-15))*127974\/2770?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - -1)\/(43678806\/(-8735871) - 5*-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 100010010110001?\nAnswer: 100010010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*l - 18*l - 3*l + 8*l - 5*l as d*l + y and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -369 - -371. Solve -5*a - h*n = 18, -2*n = -2*a + 3*n - 13 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 4220004?\nAnswer: 4220021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 185475229553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -488 - -496 - (2 + 18)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148 - -103. Let w = s - -42. Which is the third smallest value? (a) w (b) -12 (c) 4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*j + 264*j = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(147)*2)**2 + sqrt(147) + sqrt(15)\/(sqrt(50)\/sqrt(10)) + 2*(sqrt(75) + -4) + 1.\nAnswer: 18*sqrt(3) + 585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 580674, 2322716, 5226108, 9290838, 14516894, 20904264, 28452936?\nAnswer: 37162898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 (base 8) in base 5?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 605*g**3 + 6*g - 262*g**3 - 2*g**2 - 339*g**3 as v*g**2 + a*g + n*g**3 + k and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 8*j + 9*j)*(0*j**2 - 5*j**2 + 3*j**2)*(j - 11*j - 3*j).\nAnswer: 364*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -0.1, -1\/16, 450?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -473*k**2 + 56*k - 3531. Let h(p) = -945*p**2 + 98*p - 7061. Let a(b) = 4*h(b) - 7*w(b). What is the derivative of a(i) wrt i?\nAnswer: -938*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212000599?\nAnswer: 31, 6838729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-23354617\nAnswer: -23354617.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*x**2 - 243*x**2 + 42*x**2 to v*x + n + q*x**2 and give q.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60263 divided by -2.\nAnswer: 60263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1260*q**4 - 41603*q.\nAnswer: -15120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 20 = m. Let h(s) = 5*s - 3. Calculate h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 15\/200) + ((-1184)\/80 - -15).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ost when three letters picked without replacement from {o: 1, s: 3, t: 1, y: 2, x: 5}?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 804920052 and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*4\/448*((-6)\/(-39) + (-4)\/(-312)).\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 30*o + 93. Let k be a(-39). Suppose 2340 = k*s - 439*s. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/3 and -97\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -4*z + 46 - 29 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -8*n + 7*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 10*f - 12. Let w be x(8). Let s = -196 - -198. Solve 1 + 7 = z + 3*n, 3*z = w*n - s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u + 2*b, 0 = -4*u + 5*b. Suppose 2*c - 2*t + 1 - 3 = u, -3*c - 2*t + 13 = 0. List the prime factors of c + (4 - 1) - 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.05 - -1.05. What is the biggest value in -5, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 + 6*d. Let g be h(-3). Suppose -f = -3*f - x + g, 12 = -4*f + 4*x. Put -0.3, -1\/2, f, -28 in increasing order.\nAnswer: -28, -1\/2, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 24 = -4*j + 222, -2*c + 4*j = -432. Suppose c = 2*k - 108. List the prime factors of k.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 50*x + 129. Let w(q) = 19*q. Give k(w(o)).\nAnswer: 950*o + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246939 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -67*w**8\/56 + 221*w**5\/60 - w**4\/24 - 21*w**2. Find the third derivative of c(g) wrt g.\nAnswer: -24120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1\/(-5*4\/(-10))*16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*d = 1920 - 477 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -539 + 3713. Is 41 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3268?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 3:59 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/7*14\/8*13\/((-39)\/12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/2 - 5) + 5. Let q(t) = -t**2 - t - 1. Let g(o) = -o**3 - 4*o**2 - 4*o - 4. Determine a*g(y) - 12*q(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 1203608?\nAnswer: 10832472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/12))**13)**(-17) assuming g is positive.\nAnswer: g**(-221\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 998599537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.1? (a) -0.4 (b) 3 (c) 32100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 448059 (base 10) to base 2.\nAnswer: 1101101011000111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + -0.3. Let n be 8\/10 + (-4)\/(-10). Let r be (-2)\/3 - 4\/(-15). What is the smallest value in k, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-10.5.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (40\/(-40))\/(2\/(-6)). Find g, given that -1\/6*g**i + 0 - 1\/6*g**4 + 1\/6*g**2 + 1\/6*g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/8))**(5\/2)*y**(2\/3)*y**(1\/13) assuming y is positive.\nAnswer: y**(659\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 900232.4 grams in micrograms?\nAnswer: 900232400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4889763 years?\nAnswer: 0.004889763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 + r**2 + r + 2. Let l be s(0). Let y = 3 - l. Find the first derivative of -5*m**2 - y + 5*m**2 + 2*m**2 wrt m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 37*l - 126. What is c(-3)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44013 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 327096880 a multiple of 968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1222200 (base 3) to base 15.\nAnswer: -669","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72980 - 93327 + 9*z**3 - 490*z**2 - 15980*z - 16*z**3 - 7093 + 2*z**3.\nAnswer: -5*(z + 30)*(z + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3055057754?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r**(1\/2))\/(r**(-2\/5))**(-1\/22)*((r\/r**(2\/9))\/r*r*r)\/(((r*r**4*r)\/r)\/r)*(r\/r**(-1))\/(r**(1\/4)*r) assuming r is positive.\nAnswer: r**(-13841\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*s + 1)*(-7*s - 3*s + s)*(-30*s - 2 + 28*s + 4) - 5*s**3 + 5*s**3 + 3*s**3.\nAnswer: 39*s**3 - 36*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:33 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -455 + 458. What is the nearest to 1\/4 in n, -0.5, -1\/15, -4?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2847 + -674. Suppose 2*a - d = q, -a + 4*d + 709 = -395. List the prime factors of a.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 136. Suppose 0 = -4*m + m + y. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27922668 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 19985 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1259 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**4\/8 - n**3\/3 - 3*n**2. Let q be v(-3). Solve -5*t - 2 + q = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 2. Let l be t(-1). Let w be l - (-1 + 0)*1. Let d = -2\/85 - -437\/510. Which is bigger: d or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f - 46. Suppose x = -4*p - 2*x + 95, -3*p + 64 = -5*x. Let m be w(p). Let d(t) = 2*t**2 + 1. Give d(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 138873*g + 277720. Calculate a(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 2 - (-14)\/12*2. Let c = 90.43 + -90. Let s = c + -0.03. What is the second smallest value in h, s, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 7*t + 8*t = 0. Suppose 9*g - 14*g + 170 = t. What is the remainder when 99 is divided by g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/18 + -1 + 6\/(-36).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1203*w - 1200*w - 17082. Does 26 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201345 is divided by 289.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1253848 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -14446, -14447, -14448, -14449?\n\"Answer: -s - 14445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3272 + 9688\/3. Let h = -79 - -36. Let n = k - h. Which is the biggest value? (a) n (b) -4\/7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - 2*v + 3*v + (-1 - 1 + 5)*(2*v + v - 2*v) + 0*v - 3*v + 4*v + 2*v - 2*v + v + 4*v - 4*v + 3*v - v + v + v.\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2630478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*l - 267 + 57 = 0. Let q be 548\/(-10)*(-9 - -4). Suppose h = -i - 2*i + q, 4*i + l*h = 367. List the prime factors of i.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 370875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872\/(-2)*(-7)\/14?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/3*2\/64*6\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/9 and -25\/58533.\nAnswer: 175599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -60?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f - 6. Let q(h) = 3*h**2 + 15*h + 24. Let o(l) = l**2 + 5*l + 8. Let d(s) = f*q(s) - 8*o(s). Calculate the remainder when d(-5) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - x - 22 - 36, -1281*m + 1287*m - x - 85 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 + -29. What are the prime factors of j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 42*f + 1. Let y(j) = -45*j - 1. Determine 6*b(k) + 7*y(k).\nAnswer: -63*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -346666 - -5?\nAnswer: -346661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-115) - 16\/(-90)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46972275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -20211211202?\nAnswer: 20211211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-1)*3\/24*(-384)\/(-48)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 5130154?\nAnswer: -5130146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947950099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/2195805 and 64\/165189.\nAnswer: 90028005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o = 124. Suppose -2*d + d + 310 = 0. Calculate the greatest common factor of d and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5344579200 - -0.3\nAnswer: -5344579199.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 104890761?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from cbeeo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33 + -1 + (-1)\/(4\/12) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 6:38 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 19*m + 19. Let z be n(1). Let i(s) = -62*s**3 + 20*s. Let c(q) = -q. Let p(d) = z*c(d) - i(d). Find the second derivative of p(k) wrt k.\nAnswer: 372*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-54)*18)\/((-8)\/3) + 7172\/(-176)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 2. Let n(l) = -8*l + 33. Give 3*b(k) - n(k).\nAnswer: 5*k - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*z - 4350 + 1242 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 0 - (3 + 1 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 8:34 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10962 * -0.4.\nAnswer: 4384.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = -9*m - 310. Calculate the remainder when 154 is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 296 and 593\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770\/45 - 2\/6?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -19*v**3 - v - 2. Let g be j(-2). Suppose 124 = 6*u - g. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (777 - 777 + 14*h)*(-7*h**3 - 61*h**3 - 10*h**3) in the form y*h**3 + g*h**2 + w*h**4 + c + a*h and give w.\nAnswer: -1092","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -7*n. Let w(l) be the third derivative of l**4\/24 + 2*l**3\/3 + 114*l**2. Let m(x) = -8*x - 8. Let a(y) = m(y) + 2*w(y). Determine v(a(g)).\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*d**3 + 71*d**3 + 62*d**3)*(17*d**2 + 18*d**2 + 11*d**2).\nAnswer: 690*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2 - 2*h + 3 + 3*h. Let v(t) = 2. Suppose -5*n = -23 + 3. Let f(m) = n*i(m) - 2*v(m). Let p(s) = s. Calculate f(o) - 5*p(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6 + 15*d**2 - 5*d**2 - d + 5*d - 4*d**2. Calculate the remainder when y(-6) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 214 = i - 46, 126 = 3*r + 2*i. Let m(y) = -143*y + r*y + 48*y + 47*y. Let o(s) = -2*s**2 + 5*s**2 + 6*s**2 - s**2. Give m(o(b)).\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 19*k - 25. Let h be (-14)\/(-6) - (-3)\/(-9). Suppose 26 = -2*q - h. Let g be z(q). What is the highest common factor of 36 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -81.5 from -273639703663.\nAnswer: -273639703581.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 555*s**2. Let g(t) = -3*t + 2*t + 5*t - t - 2*t. Calculate d(g(i)).\nAnswer: 555*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 136841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/30*(5 - 2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3 + 361*t**2 + 36770*t + 36408 = 0. What is t?\nAnswer: -82, -1, 444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24752 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 21343.\nAnswer: 144\/21343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1777, 3656, 5523, 7372, 9197?\nAnswer: 10992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o + 3. Suppose -13 = 3*c - 19. Suppose 8 = c*i - 2*x, x = 2*i + 3*x - 16. Does 5 divide j(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/25 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1777*k**5 - 225*k**2 + 49*k**2 + 173*k**2)*(2 - 1 + 0)*(2 - 4 + 0).\nAnswer: 3554*k**5 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -259 - -261 - ((-1 - -1 - -1) + 14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6522, -6516, -6498, -6462, -6402?\n\"Answer: n**3 - n - 6522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252338388?\nAnswer: 2, 3, 31, 678329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51562 or -51561?\nAnswer: -51561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-31 - (-22 + 10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 0*c + 240 = -c - 56, -3*c = 2*c - 20 for x.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 111234243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**3 - 1328*v**2 + 2672*v = 0.\nAnswer: -334, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 5*i + 11, 2 = o + 3 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 447\/1788*(6\/20)\/((-207)\/184).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 2437.\nAnswer: -974.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 7. Let h = -4 - -2. What is the nearest to h in q, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 2256?\nAnswer: 20304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 - 28. Let s = l - 45. Let r = 4.99999987 + s. What is r rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4519573 is divided by 89.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3\/5, 581, 0, 2.41?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9835 + -9835.5. Let k = 0.19 + 2.81. What is the nearest to 0.1 in -3, k, o, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 4:48 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 3. Let g = x - -6. Solve g*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 6*t**2 - t + 8. Let b be (1 - -1) + (-28)\/(-7). Let j be n(b). What is the units digit of j\/((-5)\/(30\/(-4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 18540 and -0.0229540696?\nAnswer: 18540.0229540696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2.27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -110111 (base 3) to base 10\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-33) - 23\/11. Let n be 3 + 80\/36 + -5. Which is the second biggest value? (a) -1 (b) i (c) 3\/7 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 4, 2.\nAnswer: -5, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**4 - 18*r**3 + 12*r**2 + 22*r - 12 = 0.\nAnswer: -1, 1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 2, 4345?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {y: 2, m: 8, v: 3, p: 1, n: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-2) + (-3 - 8165\/70). Let f = n - -121. What is the smallest value in 36, -4, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/72 and -89\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 26*y**2 + 64*y + 1536.\nAnswer: (y - 16)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = -i + 57, 70*i - 58 = 68*i - 2*b. Let n(f) = f**3 - 25*f**2 + 2*f - 54. Give n(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -4*i + 34, 0 = 5*i - 3*p - 31 - 13. Let r be ((-12)\/i)\/(1\/(-30)). What is the common denominator of 81\/2 and (-2)\/r*1*-4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10928*f*q**5 + 5*f*q**4 + 3*f*q - 13976 wrt q.\nAnswer: -218560*f*q**3 + 60*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*y = 3*y - 102510. Does 90 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53406179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2426015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 4 = -11*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -23 (c) 0 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*(w*w**(1\/7)*w)\/w))\/w**2)**(-1\/2)\/((w\/(w*w**0))**(2\/3)*w**(-2\/11)\/w**(-5\/6)) assuming w is positive.\nAnswer: w**(97\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 4*f - 4. Let l(s) = 425*s + 1280. Let c be l(-3). Let p(m) = -2*m + 2. Let u(q) = q**3 + 7*q**2 + 7*q + 9. Let g be u(-6). Determine c*p(w) + g*j(w).\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 - 3*l**3 + 3*l**3 - 5*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 4:18 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -275a (base 16) to base 6\nAnswer: -114350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 14. What is the third smallest value in -1.7, c, -2, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of -5*q**3\/3 - q**2 + 35. Let s(b) = 51*b**2 + 21*b. Give -6*s(i) - 63*t(i).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u**2. Let s(m) = 17351773*m. Determine x(s(k)).\nAnswer: -1505420131217645*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3 - 158901*i**2 + 6312302499*i + 6312461401 = 0. Calculate i.\nAnswer: -1, 79451","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5))**(-9\/7)\/((t*t*t*t**(2\/5)\/t*t)\/((t\/t**1)\/t)))\/((t*t*t*t**(2\/13)*t)\/t*t**(3\/8)*t*t*t*t*(t\/(t**(2\/3)*t))**(1\/39)) assuming t is positive.\nAnswer: t**(-407077\/32760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3020, 6010, 9002, 11996, 14992, 17990, 20990?\nAnswer: 23992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 408 - 404. Let x = -4 + 4.3. Put 1.3, j, x in decreasing order.\nAnswer: j, 1.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8767.098 days?\nAnswer: 12624621.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -952, -2167, -3644, -5383, -7384, -9647?\nAnswer: -12172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -448554.544 and 10811.23.\nAnswer: -437743.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9486289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 16, 44, 92, 166?\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**6\/h)*h\/(h*h\/(h**(13\/5)*h*h*h)))\/((h*h*h**(-10)\/h)\/h**(1\/2)))**27 assuming h is positive.\nAnswer: h**(2727\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2166?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-64)\/12)\/4*(10413\/390)\/89.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 5*j + 315 = 5*d, 2*d - 116 = -3*j. Suppose q - 534 = -d. List the prime factors of q.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*((-1)\/(-2) - -1). Solve -m + n = 2*d, 0*d = 3*d - m - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + s**3 - 4)*(3*s**2 - 3*s**2 - 2*s**2 + (-3 + 2*s**2 + 3)*(1 + 0 + 1) + 2*s**2 + s**2 - 2*s**2 + 10*s**2 + 22*s - 22*s) - 4*s**5 + 4*s**2 - 4*s**2.\nAnswer: 9*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 381 times -12.5\nAnswer: -4762.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + ((-132)\/20)\/(1317\/4390).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzddzzzdzzzzzz. Give prob of sequence zdzz.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 - 9*y**2 - 4. Let w be 318\/(-2067) - (44\/26)\/2. Let x(v) = v**3 + 1. Calculate w*m(n) - 4*x(n).\nAnswer: 2*n**3 + 9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -v + 3*w, -823*v = -828*v - 2*w - 13. Which is smaller: 1\/9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -117695, -117711, -117729, -117749, -117771, -117795?\n\"Answer: -s**2 - 13*s - 117681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-103)\/(-5) - (-114 - -53 - -82). Suppose -3*l - 2*l = 485. Let g = l - -56. Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a + 15. Let p be c(10). Let i be (-1 - (-1 + 4))\/(-2). Let f(r) = 1 + 6*r - p*r - r + 3*r**i. What is f(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from tttpttttttttttm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1434 is divided by 111.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -2 (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 711600.\nAnswer: 711600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 4746.\nAnswer: 85428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1442531 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 101564*j**2 + 110*j + 7972971 wrt j.\nAnswer: 203128*j + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in -1, 1\/8, 18, -17\/9?\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -4 + 83. Let q = j - 34. Calculate the remainder when q is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 = -3*l. Let p = -329 - -554. Let o = 231 - p. What is the lowest common multiple of o and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*s + 372*s - 268 = 0. Let u(m) = 5*m. Let t(g) = -6*g + 1. What is s*t(k) + 3*u(k)?\nAnswer: 3*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37524, -37523, -37522?\nAnswer: -37521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93530076?\nAnswer: 2, 3, 7794173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 350. Let u(y) = 13*y**2 + 38*y - 19. Let q(p) = 4*p**2 + 12*p - 6. Let g(z) = -19*q(z) + 6*u(z). Calculate g(x(s)).\nAnswer: 8*s**2 + 2800*s + 245000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 36.522965.\nAnswer: -32.8706685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -256020, -256021, -256022, -256023, -256024, -256025?\n\"Answer: -x - 256019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u = -21. Let r(g) = -g**3 + 5*g**2 - 3*g. Let v be r(4). Let l(z) = -z**2 + z + 9. Let s be l(3). Solve 5*b = 2*o - 3 - 4, s*b - v*o = u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + i + 30725, 13*w + 2*i = 9*w + 122924. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:21 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 388*r - 20543. Calculate x(53).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 122860?\nAnswer: 122865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 267947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-504)\/210 + 1*2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -12. Let j be 3*(-2 - 46\/a)\/(-3). Sort -6, 0.08, j.\nAnswer: -6, j, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515.\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -13*y + 539. Determine q(42).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -119 * -21.002\nAnswer: 2499.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1568.452km?\nAnswer: 1568452000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) + 81\/2. Suppose 7*i + d*i = -4752. What is i rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -26*c**2 + 6*c - 4. Let r be s(4). Let z be (-6)\/21 - 0 - r\/63. Solve 5*q - 26 = -z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 414 and 27669?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -4\/5, 4\/9, 3\/20.\nAnswer: -4\/5, 3\/20, 0.4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -14. Let w be ((-4)\/10 - (-96)\/(-60))*(-13)\/(-26). Put c, -4, w in ascending order.\nAnswer: -4, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 - 3*k**2 - 2*k**2)*(-642*k + 462*k - 173*k)*(0*k**2 + 2*k**2 - 4*k**2).\nAnswer: -706*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -3*sqrt(48)*-2*3*6)*4.\nAnswer: 12 + 1728*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1040)\/(-528) + (-7)\/(-399)*-19\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5999?\nAnswer: 7, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*d - 17*d + 48. What is the second derivative of -y - 6*y - 4*y**2 - 10*y + d*y wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*y = 2*y - 311, 3*y + 15 = 0. Suppose 28 = 4*j - n. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92299222 + -92299150.999901. Let l = s + -71. What is l rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/3 + 40*s**2\/3 + 28*s\/3 - 24.\nAnswer: 4*(s - 1)*(s + 2)*(s + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -7*g**2 - 3. Let k(l) = 112*l**2 + 49. Let a = 1445 + -1396. Calculate a*v(p) + 3*k(p).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**6 + 6*k**5 + 116*k**3 + 240*k**2 + 8*k + 2 wrt k.\nAnswer: -360*k**3 + 360*k**2 + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 7) in base 9?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 7*d**2 + 2*d - 4. What are the prime factors of o(6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + -1 - (0 + 7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 167, -109\/149, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -24*k + 20*k. What is the derivative of 10 + 20*g - k*g + 1 - 9*g**2 wrt g?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -49*c - 243. Let i be a(-5). Which is smaller: i or 46\/27?\nAnswer: 46\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3204330 and 26265?\nAnswer: 3204330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/6*3\/(-2). Find the second derivative of -i**j + 0*i**2 + 4*i**2 + 8*i wrt i.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 10*x**2 + 28*x - 14. Is g(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m - 14. Let x be p(-6). Suppose 4*i + x = 5*i. Suppose 5*d - 4*z = 78, 0 = -4*d + 2*d - 3*z + i. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5d6b6b (base 14) to base 10\nAnswer: -3207243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471544 is divided by 1469?\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -77. Let k = 3051 - 2991.63. Let t = c - k. What is t rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 5.6. Let k be 15\/18 - 2 - -1. Let q = 8858 + -8855. Which is the nearest to -0.06? (a) q (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4132220 divided by -20.\nAnswer: 206611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.026? (a) 9 (b) 0 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25690443301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*v - 10050 = -104*v + 166*v for v.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -62. Suppose i = -r*i + 649. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*l - 1850*l = 12784 + 4244 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 55261 or 718402\/13?\nAnswer: 718402\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -33*d**3 - d**2. Let m be p(-1). Suppose m = -3*y + 5*y. Calculate the highest common divisor of y and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 57*z - 1334 for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 0.3. Let m = 4\/321 + -337\/1284. What is the closest to 2\/7 in m, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:55 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -285*j - 11415. What is w(-40)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*m**2 + 21 - 14 - 15 to the form x*m + c*m**2 + j and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + 2*x + (3 - 4 + 2)*(59 + 13*x - 59))*(-2 + 1 + 2)*(0*x + x + 2*x).\nAnswer: 36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 4 = -x, -4 - 3 = -5*u + 4*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56*(-10)\/(-7)*2*45\/(-150)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-20))\/(8\/(-60)*-9)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(4\/31)*((f*f*f**(3\/5)*f)\/f)\/f**(-1\/11) assuming f is positive.\nAnswer: f**(31676\/11935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 11*j**2 - 47*j - 24. Calculate the smallest common multiple of n(9) and 18.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005275194473 to five decimal places.\nAnswer: -0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 0. Let n = 14 - 14. Suppose -240 = -5*y - u - n*u, 2*y + 4*u = 78. What is the highest common divisor of y and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = -2*f. Let v be (f\/(-3) - -14)*13. Suppose 5*x + 642 = 3*k + v, 5*k - 835 = 5*x. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 136 = 46. Let q(h) = h**2 - 19*h + 20. Let w be q(f). Suppose -3*k = -4*k + 5*c + 20, -c - 4 = w*k. Solve -5*j - 20 + k = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3427667985?\nAnswer: 3, 5, 7, 31, 113, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9138 by 3.\nAnswer: 3046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*y**2 - 51 + 57\/2*y.\nAnswer: -3*(y - 17)*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2224241*-3.\nAnswer: 6672723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, 57, 315, 671?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -90, -165, -236, -303?\n\"Answer: 2*f**2 - 81*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 6*u. Let g be b(2). Let o be g\/(-10)*(-20)\/3. Let j(z) = 2*z - z - z**2 - 3*z + 3*z. Let s(h) = 6*h**2 - 8*h. Determine o*j(x) + s(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = -o + 3*o, 2*o - 3 = 3*b. Suppose 4*p - 3 = 3*p. Find the third derivative of 7*h**3 - 3*h**p + 3*h**2 - 6*h**2 - o*h**2 wrt h.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 531308650?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, v: 1, q: 1, r: 3, i: 6}. What is prob of sequence aii?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 741034.9 meters?\nAnswer: 741034900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*y - 29, 3*w = 4*y + 8 - 0. Let i(q) = -44*q - 2. Is 52 a factor of i(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 157.6269ug?\nAnswer: 157626.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 w, 1 q, and 1 z when four letters picked without replacement from zczqwq?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -589250 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000804641 rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -107773, -3\/5, 9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -10*b**2 + 35*b - 4. Give r(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -3 + 0 + 60. Suppose 0 = -2*p + y + 22. Suppose 2*v = -v + p. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 8. Is 6 a factor of h(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -9*a - 39 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7672956 to the power of 1\/2, to the nearest integer?\nAnswer: 2770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1))**(-7\/2))**(-47) assuming p is positive.\nAnswer: p**(-329\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 0*h - 15. Let n(a) = -5*a + a + h*a. Let j(l) be the third derivative of 5*l**4\/6 - l**2 + 2*l. Give n(j(t)).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 343135 divided by 19.\nAnswer: 343135\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 357.965 - 358. Let a = -0.435 - r. What is the second biggest value in -10, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1851788*l**2*n + 11*l**2 - 24*l*n + 1439*l - 10*n + 2 wrt l.\nAnswer: -3703576*n + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/2*(-1 - (-31402)\/(-42)).\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 10*c**2 + 11*c - 6. Calculate i(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10522*((-65)\/(-90) - (-2)\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/13416 and 89\/6.\nAnswer: 13416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckwc when four letters picked without replacement from wccwbcbbkwcczcctzz?\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, w: 5, z: 7, i: 2, f: 4}. What is prob of picking 1 w, 1 z, and 2 f?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**16\/n)\/n**(-18))\/(n\/(n*n*(n**(1\/2)*n)\/n))**(-1\/52))**(1\/22) assuming n is positive.\nAnswer: n**(3429\/2288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -717, -2834, -6361, -11298, -17645?\nAnswer: -25402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, j: 3}. Give prob of picking 1 j and 2 n.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*f + 4*l + 5, 2*f + 2*l = 4. Let u(q) be the second derivative of 1\/12*q**4 - 2*q**2 + q - 1\/2*q**3 + 0. Calculate u(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1222549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/66*((-112)\/(-6))\/(-14)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.4, 8291, -0.5, -0.7, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*p - 10. What is the least common multiple of 4\/(10\/((-20)\/(-4))) and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i - 5. Suppose 3*m + 10 = 25. Let d(h) = -21*h - 14. What is m*d(l) - 14*z(l)?\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = j - 85, j = -3*p + 65. Suppose -5*f - 5*k - p = 30, 5*k = 3*f - 10. Which is the second smallest value? (a) 0.4 (b) f (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4331 + 42224422?\nAnswer: 42234303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - -9. Let n be 12\/(-32) - 1255\/(-40). Let j = n - 25. What is the greatest common factor of j and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 16*n - 800. Let m be c(50). Solve -3*f - 2*r + 13 = m, 3*f + 70*r = 73*r + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 595 = -5*m, 0*m + 239 = 2*m - t. Calculate the highest common divisor of 48 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*x - 274 = -2*x, 0 = 5*h + 4*x - 434. Calculate the highest common factor of 45 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6439\/3 at most 2146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 2 = 5*m. Let k be (2\/m)\/((-4)\/16). What is the third derivative of 0*o**2 + o**k - 4*o**2 - o**4 wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 12 = 2*d. Suppose -d*n + 135 = -n. Calculate the remainder when n is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k - 7. Let f be d(8). Let w be (1 + -51)\/((-4)\/22). What is the greatest common factor of w and f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 251.62013 - 251.89. Let r = z - -0.27. Round r to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -6544 in increasing order.\nAnswer: -6544, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 5:15 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1384320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + o = 1, 6*o = -4*y + 9*o + 7. Suppose 2*j + 23 - 69 = 0. Put j, y, 3 in increasing order.\nAnswer: y, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -123*z**2. Let p(r) be the first derivative of r**3\/3 + 322. Give p(m(f)).\nAnswer: 15129*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/633 + 6269\/2954. Let m = k - 11\/6. Solve m*n**3 + 24\/7*n - 16\/7 - 12\/7*n**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 + 0.98. Let h = -48.42 - 0.58. Let r = h - -49.4. Which is the nearest to z? (a) r (b) -2\/17 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001887172586 less than 0.62?\nAnswer: -1001887172585.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24811 + 2530697\/102. Calculate the common denominator of (-4)\/((-64)\/(-137)) - (11 - (-21)\/(-2))*-12 and w.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122111 - 10?\nAnswer: 122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/33, 4, 1\/2, 447 in decreasing order.\nAnswer: 447, 4, 1\/2, 1\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwhehhxbbwwhbhi. Give prob of picking 1 w, 1 e, 1 i, and 1 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, -1205\/2 in decreasing order.\nAnswer: 2, 0.5, -1205\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Calculate the least common multiple of 10 and -5*(3\/(-5) - p).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2*j = -38, 39545*o - 39549*o - 35 = -j for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpxppeu. Give prob of sequence expu.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-3)\/(-6) + 10\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {l: 1, v: 18}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g = -136 + 52 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/3 - 48)\/(-2). Let f(x) = 2*x**2 - 9*x + 73. Let q(w) = w**2 - w - 60. Let i be q(9). Let m be f(i). Calculate the greatest common factor of m and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 17 = 4*u, -4*u - u = 4*a + 11. Let o = 1 + a. Let t(k) = 4*k**2 - 3*k**2 - o*k**2. Let h(i) = 2*i. Give t(h(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*r - 7*r + 25, 15 = r - 3*g. Suppose -7*q + 3*q + 56 = r. Let v = -174 - -182. Calculate the least common multiple of q and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*f**3 + 563*f**2 + 64*f - 43564592 wrt f.\nAnswer: 33*f**2 + 1126*f + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.8*-1.\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -5*t**5\/4 + t**4\/4 + 2*t**3\/3 + 3*t**2\/2 - 13*t. What is the lowest common multiple of 42 and m(-1)?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-8)*(-2)\/(-14).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 11 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:38 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**4 + 211643*p**2 - 2*p + 23592.\nAnswer: -12*p**2 + 423286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, -2\/3, 1\/13, -117\/22?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10326110 to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7662 - 1.68771. Round x to 3 dps.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-14 - -5) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 60?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (-30 - (26 - 14) - -5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and ((-54)\/4)\/((-4)\/(2 - -6))?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 3*p = -20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 205 + 408*o**2 + 13*o**3 + o - 830*o**2 + 413*o**2 wrt o.\nAnswer: 78*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*x + 20 = -x, 0 = 5*x + 10. Let u(i) = 3*i**2 - 3*i. Let p be u(2). Solve 0 = -3*h + p*h - a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/1086686 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o + 2 - 2)*(-17 - 23 + 0) - 2*o - 3*o + 2*o)*(-1 - 15*o - 2*o**2 + 15*o).\nAnswer: 86*o**3 + 43*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280441040 a multiple of 11824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12)*3*(-8)\/(-20))\/((-42)\/(-35)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13399 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*y + 3*u, -2*u + 0 = -y - 2. Let l be 1 + 8\/(-12)*-3. Solve l*o = y*f - 9, -o - 3 = -5*f - 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -0.6. Let m(w) = -w**2 + 8*w - 4. Let g(r) = r**2 - 9*r + 4. Let h(u) = -2*g(u) - 3*m(u). Let a be h(6). Which is bigger: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 7*h - 7. Let u be t(8). Suppose u = -3*m - 14. Let p = -2 - m. Solve -2*i - p = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -212513, -214182, -215847, -217508, -219165, -220818, -222467?\n\"Answer: 2*x**2 - 1675*x - 210840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 2*t - 9. Let l(p) = 250*p - 3988. What is the remainder when w(-5) is divided by l(16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-92 - -58) - 86.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -205 + 47 + -11 + 39 + -1\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/2)*g)\/g)**(2\/47)\/(g**(-3)\/(g*(g**(-1\/4)*g)\/g*g)))\/((g*g**0)**22*(g**(-1))**9) assuming g is positive.\nAnswer: g**(-1547\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2424 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -5) + (-7)\/(-4). Let w = 15 + -8. Let f = w - 7.3. Which is the nearest to o? (a) 0 (b) f (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 3*j. Let x be l(3). Let b(p) = -1 - 2*p - 5 - 1 + x*p. Determine b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n**5*n)*n)\/((n**8*n)\/n))**(-19)*(n*n*n\/((n**(-2)*n)\/n*n))\/n*n*n**(3\/7)*(n**(-1))**34 assuming n is positive.\nAnswer: n**(1256\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 223.1 (b) -185\/114 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 8:44 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -802*j**3 - 182*j**2 + 45*j + 12. Let h(o) = o**2 + 5*o + 1. Let m(n) = b(n) - 9*h(n). What is the third derivative of m(r) wrt r?\nAnswer: -4812","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 316709543.462 + -316138969. Let y = p + -571132. Let q = 557 + y. What is q rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 9*v + 8 + 1 - 2. Let c(j) = 5*j + 4. Let h = -15 + 10. Let t(l) = h*c(l) + 3*s(l). What is the first derivative of t(u) wrt u?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0237 + -31.0237. Put c, -2\/23, 0, -1\/2 in ascending order.\nAnswer: c, -1\/2, -2\/23, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79 - (14 + (151 - -31))\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5078 * -0.4.\nAnswer: 2031.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -16*v**3 + v**2 - 201*v - 638. Calculate p(-3).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -1 - ((-81)\/(-9) - 9). Suppose 4*x - r - 48 = 2*r, -5*x + 33 = 3*r. Let l be 6 + 6\/9 + 12\/x. Solve b = -c - c + l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 80 = w - 5*x, -2*x = -6. What is the remainder when w is divided by 128?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*m - 36. Suppose 2*b = y + m, -4*y - 3*b = -5*b + 4. Does 25 divide (-2 - (y + -2)) + 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(22)\/(sqrt(55)\/sqrt(45)))**2 + (-2 + sqrt(2) + 1 + sqrt(4)\/sqrt(2) + -5 + -2)**2.\nAnswer: -32*sqrt(2) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1887*j - 81. Let h be k(-7). What is h rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f - 4*f + 2*f)*(f**2 - 2*f**2 - f**2) + f**3 + 0*f**3 - 7*f**3 + 2*f**2 - 4*f**3 + 6 + 3*f**3 + 2 as h*f**3 + s*f**2 + v + j*f and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**4 + 33*b**2 - 505*b - 146133 with respect to b.\nAnswer: -8*b**3 + 66*b - 505","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87012330?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -37245 + 150445.9?\nAnswer: 113200.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 + 2 - 2) + 7. Suppose 0 = -0*t + f*t - 45. What is the remainder when 24 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 16 = 0, -4*d - g - 244 = -0*d. Let h be (-5)\/d*12\/9. Which is smaller: 11 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -22. Suppose -3*h - 8*f = -4*f - 5, q*h - 3*f + 30 = 0. Is 84\/(-1 - h) - -4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 98 = -2*m - 4, 4*t - 74 = -m. Let o = t - 18. Solve o = 2*n + 3*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54448 = -2*y - 39*y. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -114252521874.878 and 1.\nAnswer: -114252521873.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3076 is divided by 3073.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -628 in descending order.\nAnswer: 1, -2, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 33382 and 8378586\/251 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17546 and -26.82?\nAnswer: -470583.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 10:28 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -947\/145626?\nAnswer: -947\/145626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srcdffrrcfrd. What is prob of sequence srfr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118484243?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*w - 22*w + 30595 = 30067 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -11, 19, 1 in ascending order.\nAnswer: -37, -11, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6632 + -895318\/135. What is the nearest to 0 in -5, -1\/8, h, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*b + 2 = -0, 4*b + 8 = 0. Solve n*y + 2*z = 8, -2*z - 8 = -4*y - 5*z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/((15\/(-10))\/3). Let u = w + 784. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j - q - 65 = 0, 0 = 2*j + 5*q + 3. Suppose 16*l - 23 - 25 = 0. Sort l, 1, j, 5.\nAnswer: j, 1, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + 7. Calculate the remainder when w is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let d(h) = 2*h**2 + 3*h + 4. Let w(g) = -2*g**2 - 3*g - 5. Let i(u) = -5*d(u) - 4*w(u). Let t = 5 + -8. Calculate t*r(y) - i(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 6:40 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from boqcq. What is prob of sequence oq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 109162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 723 - 1830. Is c equal to -2553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - j + 19, 2*b - 6*j + j = -10. Suppose 5*n + 21 - b = y, -3*y - 3*n = 6. Suppose 0 = 3*z - 13*z + 30. Put z, y, -4 in descending order.\nAnswer: z, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -435 at most -435?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Let y = 1 - d. Let f be 2\/(-3 - (-3)\/3). Is f > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0 - 51 = -5*i, 4*l = -3*i + 39. Let s be (8\/12)\/(2\/i). Suppose s*m = 7*m - 480. Is 29 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 12, 9, -36, 13 in decreasing order.\nAnswer: 13, 12, 9, 0, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**5\/2 - 105*v**4\/4 + 36*v**3 + 3*v**2\/4 - 12*v = 0. What is v?\nAnswer: -1\/2, 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/9? (a) -5 (b) 0.04 (c) -1 (d) 71\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 12:09 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19006, 37919, 56832, 75745, 94658?\nAnswer: 113571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*b**5 - 2*b**4 + 46*b**2 - 2 wrt b.\nAnswer: -2280*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + u + 3. Let x be (-3)\/(-2) - 18\/12. Let r be z(x). Suppose -5 - 46 = -r*n. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2*p. Let d = -9.99 - 0.01. Is p bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y**5\/3 - 2600*y**4\/3 + 862*y**3 + 1948*y**2\/3 - 1294*y\/3 - 216 = 0. Calculate y.\nAnswer: -1\/2, 1, 324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1450490?\nAnswer: 2, 5, 31, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6655495681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 262 and 11266?\nAnswer: 11266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - -1 - ((-408 - -368) + (-1 - -10))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0459 + 2.0459. Let z = 5.2 + -5. What is the closest to z in n, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 2*r + 10. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - -2111?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*l - 34 + 34 + 3*l**3 + (2 + 2 - 3)*(l**3 - 3*l**3 + l**3).\nAnswer: 2*l**3 + 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y. Let m(h) be the third derivative of -h**4\/24 + 2*h**2. Calculate m(u(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -9. What is the second derivative of -12*b - 12*b + 39*b**4 - 76*b**4 + 32*b**k wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5977 - 4635 = 0. Suppose -7*c + 14*c - i = 0. Is 56 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -191158000 to the nearest one million.\nAnswer: -191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 8) to base 11\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14567850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0 + 1\/10*k**4 + 8*k**2 - 1\/150*k**5 - 3\/5*k**3 + 0*k. Factor y(x).\nAnswer: -2*(x - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.347 times -1.4?\nAnswer: 0.4858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 6 = -26 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 3:16 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19314730 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 9, 1\/8, -0.1, 2\/3 in descending order.\nAnswer: 9, 2\/3, 1\/8, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 5 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + z - 14, 78*q - 105*q - 3*z + 54 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -320332\/2701 and -119 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + 1 - (sqrt(7) - sqrt(14)\/sqrt(2)*5).\nAnswer: 1 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*n + 37 = 0, -3*n + 4*n = 5*o + 25. Let p(z) be the second derivative of -z**3\/2 - 5*z**2\/2 - 3*z. Determine p(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2\/5 - 26396*l\/5 - 1437048\/5 = 0 for l.\nAnswer: -54, 6653","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-522)\/435)\/((1\/(-2))\/(13\/(208\/(-20)))). Suppose 2*n + 1 = 3*n. Let j = -5 + 10. Sort 4, w, j, n.\nAnswer: w, n, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 9 = 3*o. Let y(v) = -2*v + 2. Let j be y(o). What is the common denominator of -8\/9 and ((-63)\/(-16))\/((-6)\/j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12087 divided by -51?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, f: 1, v: 1, y: 2, o: 1}. Give prob of sequence yf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100033420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from lkxxxxxlxxxxxx.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2525392 is divided by 2598.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010001 + -101101101011111011001?\nAnswer: -101101101100101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-16)*(-8)\/40)\/(1\/(-24)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/2*(-6)\/27)\/(-1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/110047 or 1?\nAnswer: 19\/110047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9836543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - -10. Suppose -4*z - a = 11. Let c(k) = 9*k**2 + 11*k + 11. Let f(u) = -5*u**2 - 6*u - 6. What is z*c(r) - 11*f(r)?\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -121 in ascending order.\nAnswer: -121, -6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - 13 + 0*h + 8*h**3 + 2*h + 11 as c + z*h**3 + n*h**4 + l*h**2 + y*h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -185\/3 - -61. Let h = 0.01 + -0.41. Which is the closest to o? (a) 0.3 (b) h (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(4\/2)*5. Let p be ((-4)\/(-8))\/(21\/12). Put p, -0.2, z in decreasing order.\nAnswer: z, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264957900 rounded to the nearest one hundred thousand?\nAnswer: -265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 671.\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1 + (5 - 3). Suppose 4*x + 8 = 0, -20 = -q + 5*x + 6. Suppose 5*l - q = -1. Solve -l*g + 2 = o - 3*o, u*g + 2*o = -12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2. Let i(u) = 254*u. What is i(s(p))?\nAnswer: -1016*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 7, 959 in increasing order.\nAnswer: -1, 3, 7, 959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -225, -231, -237, -243?\nAnswer: -249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w - 68 = -5*n, -3*w - 57 = -3*n. What is the least common multiple of 6 and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-26 - -19)) + (-4 - 0) + -7\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 18431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20547 - -20633.89. Let j = 90.8 - o. Let g = j + 0.09. Which is the nearest to -1\/2? (a) 3 (b) 3\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302\/(-1208)*12\/(-8)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 s when four letters picked without replacement from {s: 1, z: 17}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.04+0.0737086850143\nAnswer: 0.0337086850143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d46c - 5?\nAnswer: -1d473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -207 - -227. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3638, -4.\nAnswer: -4, 5, 3638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -207*p - 3. Let m(c) = c**2 - 15*c**2 + 4*c**2 + 8*c**2. Give q(m(h)).\nAnswer: 414*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*k + 35. Let l be 6\/18 + (-28)\/k. Let z = -933 - -938. Solve z*d + 5 = -l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140720, -140726, -140732, -140738, -140744, -140750?\nAnswer: -140756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + u**3 + u**5 + (-u + 3*u - 4*u)*(0*u**4 + 3*u**4 - 4*u**4) - 2*u**5 + 0*u**5 + u**5 + (2*u - 3*u - 4*u)*(0*u**2 + u**4 + 0*u**2).\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49764.000111789 - -49764. What is c rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30145.4 rounded to the nearest one hundred?\nAnswer: 30100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 1, e: 1, g: 4, q: 2}. Give prob of picking 2 g and 1 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*j + 2*f - 40, 3*f = 4*j - 57. Solve -q = j*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 21. Which is smaller: -6\/25 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 + 157 + (2 - (10 + 0)) - (20 + -7)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 234452571 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 441 and ((-3)\/(-4))\/(-1) - (-1215)\/36?\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 256, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7980*a - 7980*a + 3481*a**2 to d*a**2 + w + p*a and give d.\nAnswer: 3481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.708 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21244060.15 rounded to the nearest ten thousand?\nAnswer: 21240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 8091*y - 40 = -8093*y, 3*y - 15 = 0 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432 + 24 = -8*m. Suppose -8*a + 20 + 28 = 0. Suppose k + 5*r = a*r + 33, r = 1. Calculate the greatest common factor of k and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - f - 3 = 0, 0 = -3*f + 4 - 1. Suppose 73 = s*y - r, -2*y - 151 = -6*y + 3*r. Let w = -29 + y. Solve -w*g = 31 - 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11983\/3560 + -4\/445. Let k = 884\/3 - 300. Find the common denominator of s and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1834689808 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 10) in base 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3*d**5 - 36*d**4 + 87*d**3 - 54*d**2 = 0.\nAnswer: 0, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -6. Suppose o = -o + g - l, 0 = 2*o - 4*g. What are the prime factors of 13 - 2\/o*2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 87 + -58. Suppose -7 = -h - 5*k, -g = -2*h - k + 6*k. What is the remainder when 43 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -72, -100, -140?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f - 17*f - 4. List the prime factors of (-202)\/(-4)*f*-4.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -176749?\nAnswer: -15\/176749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1850 and 4393885050?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 9. Let h be y(-7). Let l be (1\/h)\/(1\/6). Solve 0 = l*x - 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 1 - 9*d**3 + 3*d**2 - 2*d**2 - 2. Calculate the common denominator of h(-1) and -38\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 f when four letters picked without replacement from yffyiyyiyiify?\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*f, -n - 4*f + 20 = n. Let g(x) = 11*x + 5. Let d(u) = -5*u - 2. Determine n*g(v) + 5*d(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 0, 5, 6\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37283 + 18.\nAnswer: 37301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168 - 208. Let u be (4 - j\/(-4))*-13. Calculate the greatest common divisor of 468 and u.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -37, -65, -93, -121?\n\"Answer: -28*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -26151 and -235370\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4599834 is divided by 919645.\nAnswer: 1609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 941712 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 61.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 20747385977\nAnswer: -20747385966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7376724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -1\/8 (b) 199 (c) 5 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**7*y**(1\/2)*y**4*y\/(y**(-1\/27)*y) assuming y is positive.\nAnswer: y**(623\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 1. Suppose 5*t + p - 2*p - 65 = q, 2*t - 43 = -3*p. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 12. Let y = u + -11. Let x(j) = j**2 + 9*j - 8. What is the units digit of x(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1191\/5191 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 14. Let b be c(0). Let s = b - 5. Calculate the highest common factor of s and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/16)\/(-1*9\/(-24))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 2 + 313*g - 7 + 13 to the form y + q*g and give q.\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 7 - 28*f**2 + 8 - f.\nAnswer: -28*f**2 + 3*f + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -994, -1000, -1008, -1018?\n\"Answer: -u**2 - 3*u - 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-116)\/10 - 92\/230. Let u be k\/(-7) - 2 - (-1927)\/7. Calculate the greatest common factor of 55 and u.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 9589, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -12*a**2 - 4*a + 6. Let l be u(2). Let g = l - -50. Put -3, g, -5, 5 in increasing order.\nAnswer: -5, -3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**8\/462 - 19*r**7\/1155 - 9*r**6\/220 - 4*r**5\/165 + r**4\/33 - 16*r**2. Determine n, given that o(n) = 0.\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.03 (b) -0.1 (c) 9 (d) -11\/10 (e) 0.5 (f) 0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -22838486 and 10757542.\nAnswer: -12080944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3793998?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-96)*-3*16\/12\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 107 + 86 = 0. Let f(k) be the second derivative of -3\/10*k**2 + 0 + 4*k + 1\/5*k**v - 1\/20*k**4. Factor f(d).\nAnswer: -3*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*g + q = 2, g + q + 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 55717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 5*y - 4. Let w be t(-3). Suppose 4*p = -w*d - 16, -5*p + 0 = 4*d + 35. Which is greater: -11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -257000 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19902874, -19902908, -19903004, -19903192, -19903502, -19903964?\nAnswer: -19904608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k - 4 - 2*k - k**4 + 6*k + 0 to s*k + a*k**3 + q + x*k**4 + n*k**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/13 - 50*q\/13.\nAnswer: 2*q*(q - 25)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*d**3 + 4*a**2*d + 89*a**2 - 2*a - 2*d**3 + 2151*d**2 wrt a.\nAnswer: 2*a*d**3 + 8*a*d + 178*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20))\/(266\/19285)*-4?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 12:49 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -28, -58, -128, -256, -460?\n\"Answer: -3*k**3 - 2*k**2 - 3*k - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14458610?\nAnswer: 2, 5, 47, 30763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1055\/2 + -517. What is the common denominator of 85\/45 - (-5 - -1) and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4776121859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s - 4*x, -2*s = -x. Suppose 2*a + 0*a - 6 = s. Solve -2*b + 10 = 0, -a*p - 2*b = -4*b + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(400) - (sqrt(400) - sqrt(400)*-1)) - -6*(-3 + sqrt(832)).\nAnswer: -18 + 479*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22030243 (base 5) in base 13?\nAnswer: -682cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107\/444 + 1\/111. Let f = 0.04 - -8.16. Let i = 9.2 - f. What is the second smallest value in c, i, -0.2, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 2*t**7\/315 - 2*t**5\/45 + 2*t**3\/9 - 3*t**2 + 5*t. Let l(w) be the first derivative of i(w). Factor l(u).\nAnswer: 4*(u - 1)**2*(u + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(5\/(7\/(-4 + 11))). Let i(w) be the first derivative of 0*w + 4*w**4 - 4\/5*w**5 + v*w**2 - 16\/3*w**3 - 5. Factor i(k).\nAnswer: -4*k**2*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 5. Let h be 1\/5 + 493\/810. Let d = -2\/81 - h. Which is the third biggest value? (a) d (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of -l**3\/6 + 7*l**2\/2 - 2*l. Let s be b(5). What is the units digit of (-35)\/(-25) - s\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from {o: 4, z: 3, l: 5, b: 1, n: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -151 + 157. What is the second derivative of 17*m**2 + 0*m - 47*m**2 - 4*m + 5 + y*m wrt m?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x - 3*x**2 + 3*x - 4*x + 3*x**3 - 4 - x**3. What are the prime factors of m(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from vmm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - x + 83. Let z be u(0). Let d = z + -57. Let h be (-4)\/d + 112\/52. Let j(f) = -f**3 + f**2 + 3*f - 2. Calculate j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and (-8)\/(-68) - (-600)\/102.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1336927 rounded to three dps?\nAnswer: 0.134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7119765 + -114195.\nAnswer: -7233960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163, -184, -119, 38, 293?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 - 1) - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967*p - 982*p - 135 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166 and 56440.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8134?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.038425 - 0.03242429. Let g = -0.006 + b. What is g rounded to 7 decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(102))\/sqrt(6))**2 + -1 + sqrt(612).\nAnswer: 16 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 10*m - 86. Let c(d) = 13*d - 13. What is the remainder when 152 is divided by c(m)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 2*m + 4*m)*(-16*m - 4*m + 5*m)*(-10*m - 2*m + 6*m).\nAnswer: -90*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a5 + -2c?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -345264, -1380975, -3107136, -5523747, -8630808, -12428319, -16916280?\n\"Answer: -345225*k**2 - 36*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(1\/5))**(31\/2))**15 assuming b is positive.\nAnswer: b**744","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 703.4 + -703.3999979195. Round t to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**3 - 7*u**2 + 14. Let k(y) = 2*y. Calculate k(r(v)).\nAnswer: -6*v**2 - 28*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 15 - 3*h**2 - 8.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 53*p - 94. Let o be a(3). Let z(w) = -6 - o*w + w**2 + 71*w - 16. Give z(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*k**5 + 3*k**4 - 3*k**4)*(-18 - 7 - 1).\nAnswer: -442*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dehjzzjdsejhdjdzjzjs. Give prob of sequence zd.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 16 + (29 - 15) - 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 8:50 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*q = -11, 0 = -3*c + 5*q - 3*q + 1. Let l(o) = o**3 + o**2 + 2*o + 1. Let j be (2\/3*-6)\/(-2). Let w be l(j). Solve 5 - w = c*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1152 and 15360?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 29 = 8*p. Solve 3*i - f - 9 = 0, -1 = i + 3*f - p for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2138744780 rounded to the nearest one million?\nAnswer: 2139000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 108277 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*t + 2. Let c(b) be the second derivative of b**3\/6 + b. Let g(f) = -f**2 - 3*f - 1. Determine t*g(s) - 7*c(s).\nAnswer: 2*s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1005550301*f + 895813075 with respect to f.\nAnswer: -1005550301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 51219263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + y + (1 + 2 - 5)*(9*y + 5*y - 2*y) - 1 + y + 1.\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41 and 287?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 10. Suppose q = -4*t + 5*t - 2. Solve 4*c + 5 + 4 = -w, c = 4*w + t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/10 and 59\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2052 and 2286384?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -29*a. Let x(z) be the third derivative of -13*z**4\/24 + 5*z**3\/6 + 58*z**2. Let d(i) = -3*i + 1. Let v(r) = -5*d(r) + x(r). Determine v(b(w)).\nAnswer: -58*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 18 = 2*q + 15, 2 = -3*z - q. Which is the closest to 0? (a) 0 (b) 3 (c) z (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.56 + 0.9. Let w = -3.083 - 0.377. Let n = i - w. What is n rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 3. Let x(z) be the second derivative of -z**2 - 3*z. What is -3*x(a) - 2*y(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12494.\nAnswer: 2, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -10. Calculate the remainder when 87 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/15075 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lcc when three letters picked without replacement from cclc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**4\/3 - 2*m**3\/3 + 1121*m. Find f such that h(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1121 (base 3) to base 5.\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021122 - 22?\nAnswer: 10021100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58.57721 + 0.21779. What is c rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-10)\/(-25))\/1.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*g + 73540 = 0, 0 = 4*g + 10 - 2. List the prime factors of j.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/64)\/((-38259)\/(-1872)).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 1:25 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -2. Let r = 583\/3 + -194. Which is the nearest to j? (a) 1\/4 (b) r (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 370, 850, 1532, 2422, 3526, 4850?\nAnswer: 6400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4804 is divided by 3957.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 75976588?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/(-18) - 4\/6. Let m(j) = 2 + 7*j + 0 + 4 + j**2 - v. Calculate m(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + 45\/27*-6.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30053487647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 11483400?\nAnswer: 80383800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/10)\/((-240)\/(-500)*5)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/93 - 2633\/2604. What is the common denominator of f and -69\/35?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((-234)\/(-26)*2\/(-12)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n**3 + 7*n**2 + 4*n - 13. Let r(p) = p**3 + p**2 + p - 2. Let g(b) = -f(b) + 6*r(b). Determine g(-2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338347 to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 808761 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -109, -119, -139, -175, -233, -319, -439, -599?\n\"Answer: -k**3 + k**2 - 6*k - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02743174068 rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000083576207 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3893294022 to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22*28\/(-9856))\/((-2)\/(-32)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4\/157 - 487\/628. What is the second biggest value in -2\/3, n, -4, 5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + d**2 + d - 12. What is p(0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 3811.3069?\nAnswer: -3807.3069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9075779, -18151558, -27227337, -36303116?\n\"Answer: -9075779*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425*w**3 + w + 3*w + 97 - 97 + w**2.\nAnswer: 425*w**3 + w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -526 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*d + 25 = 0, y = -5*d + 14 + 1. Let m(u) = -14 + u - 6*u**3 - 2*u + 2*u**3 - 10*u**2 + 3*u**3. Let l be m(-10). Which is smaller: l or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1279 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 78*d**2 - 184*d - 449. What is the derivative of g(w) wrt w?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/60 - 7*p**4\/8 + 19*p**3\/3 + 3*p**2 - 16*p. Let g be b(19). Solve 3*f = -g*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1042*h**4 - 2*h**3 + h**2 - 1287 wrt h.\nAnswer: 25008*h - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34737?\nAnswer: 3, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, h: 1, l: 2, q: 1, m: 2}. Give prob of picking 1 q, 1 m, and 1 h.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {x: 3, q: 7, l: 5, s: 3, t: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = k + 2*b - 5*b, 0 = -3*k - 2*b + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1312550 and 2625100.\nAnswer: 2625100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/(-276)*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -q**5\/15 + 3*q**4\/4 - 3*q**3 + 9*q**2\/2 - 403. Factor u(t).\nAnswer: -t*(t - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 957 and 46574.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 3 + 8*t - 3*t)*(-10*t - 6 + 6)*(0 + 5 - 4).\nAnswer: -40*t**2 + 30*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + sqrt(288) + -1 + (sqrt(128)*1 - sqrt(128))) + (sqrt(792)*2)\/(1*(sqrt(11) - sqrt(11)*-2)))**2.\nAnswer: -1760*sqrt(2) + 4272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3 + y + 8 - 7*y - 6*y. What is the tens digit of n(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7305c2 (base 16) to base 5.\nAnswer: 3412204424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.652 + -7.452. Which is the nearest to 0.02? (a) -4 (b) -1\/9 (c) 16 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-255)\/(-21) + 45\/(-315)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 1727*s + 315. Is u(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - 2 - (-20)\/4. Suppose 3*u - r - 2 = 0. Let a(i) = i**3 - 6*i**2 + 6*i - 3. Let v be a(5). Solve -v*s - u*s - 12 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32623925387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 400077, 400091, 400105, 400119?\n\"Answer: 14*c + 400063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 249 and 309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 49, -13.\nAnswer: -13, -5, -4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -2*b + b. Let p be (16\/20)\/(2\/b). What is the common denominator of (-99)\/6*(-9)\/p and 103\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136 + 48 + 39 + 49 + 10005*l.\nAnswer: 10005*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36 - 2877?\nAnswer: -2841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**4\/8 - 1355*s**3\/6 + 7215*s**2. Let n(p) = -3*p. Determine m(n(j)).\nAnswer: -9*j - 1355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 + 12558*v**3 - 13129383*v**2 - 26296452*v - 13154508.\nAnswer: -3*(v - 2094)**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ri when two letters picked without replacement from rrrrrrvvwirrik.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/20 - 63\/325. Let j = -668\/2925 + m. Which is the nearest to j? (a) 2\/13 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 11*k**2 - 13*k - 3. Let f(s) = 30*s + 411. Let q be f(-14). Calculate b(q).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10631 (base 7) to base 12\nAnswer: 16a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o**2 + 7*o**2 - o - 4*o**2 in the form t*o + k*o**2 + c and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*w - 4*s - 31, -5*s - 44 = w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = -3*v - 100, 5*v - 12 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.1568 to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -201 + 199. Let o(c) = -4*c - 1. Let a(p) = p + 3. Let m be a(0). Let b(k) = -5*k - 1. Determine f*b(i) + m*o(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20607?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*l + 192, 5*o - 32 = -l + 32. Let n = -72 + 141. Suppose -y + 6 + 0 = j, -5*y - n = -4*j. What is the greatest common divisor of j and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.569047 minus 15.439?\nAnswer: -22.008047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17287, -34568, -51839, -69094, -86327, -103532, -120703, -137834?\nAnswer: -154919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22520049 * 7.\nAnswer: -157640343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -883728 (base 14) in base 8?\nAnswer: -21476450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131003 - 4.13.\nAnswer: 130998.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 13*c**4\/8 + 11*c**3\/6 - 7*c**2. What is the tens digit of z(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.2 and 1096401085.\nAnswer: 1096401089.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**8\/(((a*a*(a\/(a\/(a\/a**(-13\/5))))\/a)\/a*a)\/a)*a**(2\/19)*a**23 assuming a is positive.\nAnswer: a**(2613\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*g + 2*g**2 - 2*g**2 + g**2)*(4*g + 3*g + 2*g).\nAnswer: 9*g**3 - 45*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4468121.\nAnswer: 7, 638303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 11*v - 1. Let x(p) = -5*p - 10. Let g be x(-4). Let r be f(g). Let t = 9 - 0. What is the greatest common factor of t and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 272129 + 97651 = 0. Suppose -k + 9454 = -4*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-11) - (-45612)\/(-396). Is -113 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, 23 in descending order.\nAnswer: 23, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -78*u**2 + 2028*u + 30. Let k be w(25). What is the greatest common factor of 80 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 351842*l - 12314468. Calculate f(35).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c. Let x(t) = -t**4 - 9*t**3 + 17*t**2 + 3*t + 1. Let b(v) = -3*u(v) + x(v). What is the third derivative of b(j) wrt j?\nAnswer: -24*j - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) -561 (c) 1 (d) 8 (e) -3 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/1*(-2 - (0 - 3)). Let c(i) = i**3 + 19*i**2 + 6*i - 13. Let r be c(n). Suppose -2*l - 4*a = -5*l + 534, -4*l - 5*a + r = 0. Is l a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (49\/14)\/1*(-2)\/(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 19692.67 years in centuries?\nAnswer: 196.9267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/18 and -23\/39.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1987606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*y - 30 = 0. Let p(n) = -n**3 + 15*n**2 + 3*n - 13. List the prime factors of p(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**1\/r)**(-3\/8))**(-37) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/30 or -103990?\nAnswer: -103990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from {a: 4, j: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 73749304 and 139374.\nAnswer: 73888678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**5 - 120*c**4 + 327*c**3 + 258*c**2 - 1356*c + 888 = 0.\nAnswer: -2, 1, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*x - 122 - 73 = 0, x = -4*i + 131. Suppose -4*h + i = -198. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(3\/2)*t*t**(-1\/5))\/(t*t\/t**1)**42)\/((((((((t\/(t**(-2\/21)\/t))\/t)\/t)\/t)\/t)\/t)\/t*t**(-5))\/(t**6*t**(-3\/8)\/t)) assuming t is positive.\nAnswer: t**(-21983\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*s - 2*s - 4*p, -s = 4*p - 5 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2110244310 (base 5) to base 10.\nAnswer: 4384330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2 + (sqrt(1088) + 1)*2) + -2)**2*-5.\nAnswer: -196340 - 4800*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 2*a = -0*a + 5, -11 = -734*g + 735*g + 5*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 10*c**2 + c + 10. Let l be o(-10). Suppose r + 4*r + 315 = l. Let g = r - -107. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 1083, 0.4.\nAnswer: -0.6, 0.4, 1083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-3))\/(((-11935)\/651)\/55)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 3*a + 2. Let q(r) = 6*r + 5. Give 9*m(c) - 4*q(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -379, -43 in descending order.\nAnswer: 5, 1, -43, -379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.03124 - 0.04824. Let d = q - 27. Round d to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 30 + 38 + 19 + 25*m**4 + 45*m**4 wrt m.\nAnswer: 280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/10)\/(2\/(-10)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -31*i**2 - 2*i**5 + 110*i**2 + 2*i**4 - 38*i**2 - 35*i**2 + 10*i**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/646 and 105\/30362?\nAnswer: 30362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1181 - 939. Suppose -a - 4*a + 245 = 0. What is the remainder when q is divided by a?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -85765302.00000068 + 85765298. Let j = 12 + -8. Let z = j + u. What is z rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 50, 73, 76, 53, -2?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 6*p**2 + 8*p - 1. Determine b(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -91 (b) -5 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0289 in -3\/10, -2\/5, -1?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9174)\/36036 - 54\/(-234)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1555 - 1546 - 61*u + 277*u + 3101 in the form q + l*u and give l.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (855 - 40*l - 855)*(1 - 6*l**3 - 1).\nAnswer: 240*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 63. What is the remainder when 55 is divided by d(24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3864423 (base 12) to base 9\nAnswer: 22757570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 161 * -0.069\nAnswer: -11.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28873, -57762, -86659, -115564?\nAnswer: -144477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*t - 42*t - 35*t - 1.\nAnswer: 14*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2029 - -6025\/3. Let p = -2908 - -26143\/9. Calculate the common denominator of p and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-28) + 24\/(-105). What is the third biggest value in 2, 1\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49872 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.9 and -4.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1))**(-3\/5) assuming w is positive.\nAnswer: w**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 100762 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 f(z) = 7*z**3 + 4*z**2 + 9*z - 104. Calculate the remainder when f(5) is divided by 185.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 times -2?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -58.8 - -56.8. Let g(a) = a**3 - a + 3. Let x be g(0). What is the second biggest value in 0.7, i, x?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42\/109 - 1334\/1199. Do -2 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*o - o = -315, -2*y - 5*o = -197. List the prime factors of y.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26351.\nAnswer: 13, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 322 = 4*d, d + 5*k - 132 + 41 = 0. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2334810079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 950 is divided by 212.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8*13\/260*(-25)\/8*32\/(-1)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*o, -3*q + 333 = 5*o + 316 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1704 + -1702. What is the fourth smallest value in f, -0.5, -0.3, -1\/4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 744 and 13128.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 50 - 1146765?\nAnswer: -1146715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.55 + -4.991. Let l = -7.471 - q. Round l to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 7*x. Determine q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 45 + 55*o + 184 - 231. Let g(v) be the first derivative of -2*v**3\/3 + 2. Give y(g(z)).\nAnswer: -110*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 47834443?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 887514432 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -4. Let d(k) = k**3 + 2*k**2 + 1. Let u(q) = -5*q**3 - 11*q**2 - 6. Give s*d(f) - 4*u(f).\nAnswer: -2*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9077358, -9077355, -9077352, -9077349, -9077346?\nAnswer: -9077343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -11 - 18*g - 4 + 14*g + 8. Give p(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 39?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - 4*k**2 - 7*k**2)*(-5 - 7 + 1) + 2*k**2 - 2*k**2 - 2*k**2.\nAnswer: 163*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 7*i**2\/2 + 5*i - 14. Let a(p) = -5*p + 1. Let k be a(-1). Is d(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3 + 2260*s**2 + 241084*s - 4138260 = 0. Calculate s.\nAnswer: -413, -167, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4972?\nAnswer: 2, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295059.33ms to minutes.\nAnswer: 4.9176555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110823 to the power of 1\/2, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k. Suppose 3*l + 10 - 16 = 0. Let o(u) be the first derivative of -1 - u**2 - l + 14. Give w(o(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0279 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -13257914*w**3 - 2*w**2 + 13257913*w**3 + w + 2*w**4 + w + 32 as i + x*w**3 + v*w + y*w**2 + b*w**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40339 or 40340?\nAnswer: 40339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.239 + -111252?\nAnswer: -111251.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 156154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794 is divided by 249.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134057 is divided by 22320?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -101*m**2 - 603*m + 2. Let s be b(-6). Put 5, -3, s, 0 in decreasing order.\nAnswer: 5, 0, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 4*s**2 + 3*s - 2. Give k(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 - 4 = 0. Let k(x) = 20*x**2 + 9*x - 23. Let m(j) = 7*j**2 + 3*j - 8. Let g(a) = -6*k(a) + 17*m(a). Calculate g(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464383991693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9459.99l to millilitres.\nAnswer: 9459990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 561 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 2368.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5632993.74 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -590011*j - 211227 wrt j.\nAnswer: -590011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 5*z**2 + 3 + z**3 - 1 + 2. Let u be h(3). Let v = -1 - u. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a tonne in kilograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5)*k**5*k*(k*k*k**(7\/4)*k)\/(k*k**(-1\/15)) assuming k is positive.\nAnswer: k**(289\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 2*h + 32 - 2, 3*h - 2*t + 45 = 0. Let q be (-147)\/h - -3*5\/75. Solve 2 = -4*b - q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*x - 259 = o + o + 185, -5*o + 42*x - 40*x = -o + 114 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-2\/13)*y*y\/(y*y\/(y\/y**22)) assuming y is positive.\nAnswer: y**(-262\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times -42?\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**4\/p))\/(p**4\/p)*(p*p*p**(-2\/15))\/(p\/(p\/p**(2\/19))))\/((p**(4\/5)*p)\/p**(1\/4)*(p**(-1))**(1\/5)) assuming p is positive.\nAnswer: p**(-5231\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**8*m**8)**(-4\/29))**(-9))**(-4\/19) assuming m is positive.\nAnswer: m**(-2304\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -153739798\/9 bigger than -17082201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 40*o = 25. Suppose 0 = o*c + 2*v - 13795, -v - 5036 = -5*c + 8774. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 11*a - 48 = 0. What is the common denominator of (-6)\/a*(-74)\/18 and 262*(-1)\/105 + 34\/85?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56899\/14 + 4059. Let p be 658 + (-1*2 - -1). Let v = -7849\/12 + p. What is the common denominator of v and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - g = 51, g + 24 = -4*q + 69. Find the third derivative of 115*s**3 - 15*s + 11*s - 3*s**2 + q*s + 8*s**2 wrt s.\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 425 and 109.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)\/sqrt(9) - sqrt(2) - (sqrt(242)*-2 + sqrt(242))**2.\nAnswer: -242 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of k**8\/1344 - 29*k**7\/2520 - 2*k**4 - 4*k. Let i(y) be the third derivative of q(y). Find the third derivative of i(u) wrt u.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + d = 0, -4*d + 20 = -9*d. List the prime factors of -1 - (i - (3 + 0)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 8582?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 26327?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -2. Suppose -5*p = -2*p. Calculate the smallest common multiple of g and (1\/3 - p)*15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6599*s + 6608*s = 33624. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 797765 and 5505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42.4 + 40.2. Let t = -187 - -105. Let y = g + t. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-1*5 + 0). Let i(a) = -a**3 - 16*a**2 - 2*a - 4. Let w be i(-16). Suppose 4*c + 12 = w. Solve -y - c = y + g, s*g - 20 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - i + 1 + 0*i + 3*i + i + (-i - i + 3*i)*(-2 + 3 - 3).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 457459.\nAnswer: 457459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**2 + 8106*z = 0.\nAnswer: 0, 4053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (588\/18)\/(-14) + (-2590)\/(-1776)?\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41426788 divided by 43108?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*44\/16 - (-2)\/2. Suppose -9*l + 11*l + g = 0. What are the prime factors of 236\/l*((-9)\/6)\/1?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/4446 and -149\/1938?\nAnswer: 75582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -144854\/499 not equal to -291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 + -2) - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z\/z**(1\/3)*z))*z*z*z)**9*z**(-10)\/(z*z*(z*(z**(-2\/25)*z)\/z)\/z))**(1\/9) assuming z is positive.\nAnswer: z**(977\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f + 3*f - 4*f - f + 0*f + 8*f + (0 - 2 + 1)*(f + 0 + 0) + 0*f + 6*f - 4*f + (2*f - 4*f + 0*f)*(0 - 6 + 3) as s*f + i and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15643 = 289*c + 2275 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 10*t**2 + 3*t + 34. Suppose 0 = r + 12*u - 7*u + 5, -1 = -u. Let x be m(r). Which is the nearest to 0? (a) x (b) -1\/4 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -44*g - 947. What is the remainder when k(-27) is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(95\/25 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, r: 1, k: 2, e: 2, n: 1, y: 2}. Give prob of picking 1 y and 1 r.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of -f**4\/12 - 2*f. Let a(s) be the first derivative of -12*s**2 + 24072. What is g(a(u))?\nAnswer: -576*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -0.07 (c) 2\/3 (d) 1\/5 (e) -0.26 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28794 or 28768?\nAnswer: 28794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 45, 106, 213, 378?\nAnswer: 613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 + 88 - 23*p)*(p + 0*p + 0*p) + 2 - 4 - 5*p**2 + 7*p**2 + (p**2 + 2*p**2 - 6*p**2)*(-1 + 4 - 5).\nAnswer: -15*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8944 and 30272?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2405*i**2 + 3513690*i + 21915 = 0. Calculate i.\nAnswer: -3\/481, 1461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*u**3 + 60*u**3 - 118*u**3 - 13*u as b*u**3 + w*u + n + a*u**2 and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 61536, 2 in descending order.\nAnswer: 61536, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2155217*f - 816 = 2155233*f, 4*f + 204 = -0*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -4) + 2 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67.202023 days to weeks.\nAnswer: 9.600289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1616560.\nAnswer: 2, 5, 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/21 + 22\/(-77). Suppose -p = -2*q + 10, -2*p + 6 = q + 11. Sort -4, d, q in ascending order.\nAnswer: -4, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f**2 - 8*f**2 + 12*f**2 - 5*f**2 + 6.\nAnswer: -4*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 11742, 4, -1 in increasing order.\nAnswer: -1, 4, 11742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.036, 0, 113683?\nAnswer: 2.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 1. Let y be f(3). Let c = -27 - -38. What is the remainder when 8*1*y\/(-2) is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**7\/420 - o**6\/90 + 23*o**4\/8 - 76*o**3 - 43. Let z(a) be the third derivative of l(a). Differentiate z(v) wrt v.\nAnswer: 6*v**2 - 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1555 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 32*h - 214. Calculate d(-21).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 259 - 180. Let y = -52 + a. Suppose 0*u + y = 3*u. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -1, -657, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 551*o**6*v - 481448*o**5*v - 5*o**2*v + 44632860*o**2 wrt o.\nAnswer: 66120*o**3*v - 28886880*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 108, 0.3?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62100 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/3)\/((-2)\/12). Let f(y) = y**3 + 5*y**2 - 7*y + 3. What are the prime factors of f(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -1. Suppose 2*o = -8 - 2. What is the third smallest value in o, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -52*h - 1. Let m(j) = 380*j. Calculate x(m(z)).\nAnswer: -19760*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*s + 4*x + 19 + 9, 5*s = -3*x + 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/3, -152\/3, 2\/79?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 10 = 0, -3*c - 271 = -5*q - 65. Suppose h - i = -q, -2*i - 161 + 31 = 4*h. Let v = h + 58. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**1*l**(4\/7))\/((l\/(l\/l**(-1\/4)))\/(l*(l*l**(-1))\/l*l*l))*(l**(-2\/19)*l*l\/(l**(-6)*l))**43 assuming l is positive.\nAnswer: l**(159225\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-75)\/1125 - (-61)\/15. Solve 0*w = -2*w + v - 11, -29 = 5*w - j*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 46.904.\nAnswer: -18.7616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 358 and 11993?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(0 + 4\/6). Suppose 3 = w*t - 5*t. Let u(m) = 1. Let h(i) = -i**2 + 5*i. Let f(z) = -2*z**2 + 8*z. Let l(y) = -5*f(y) + 8*h(y). Give t*l(j) - 2*u(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/259 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.1, 11, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 985579\/240 - 24635\/6. Calculate the common denominator of -11\/14 and a.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 734*i**4*l**3 + i**4*l + 3*i**4 - 7475*i**2*l**3 - i**2 + 2*i*l**3 wrt i?\nAnswer: 17616*i*l**3 + 24*i*l + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 9 = -5*j, 5*j - 15 = 5*v - 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 3:55 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 + 2*h**4 + 5*h**2 - 6*h**2 + 2 + 3*h**3 as b*h + a*h**4 + i*h**2 + g*h**3 + n and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, -1, -103\/3 in decreasing order.\nAnswer: 5\/2, -1, -103\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 9396.2 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9821 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: What is the smallest value in -0.0431, 0.1, 1\/8?\nAnswer: -0.0431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**6\/3 - 6*u**5\/5 - u**4\/2 + 2*u**3 - 669. Factor l(h).\nAnswer: 2*h**2*(h - 3)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9500)\/432*(-75)\/(-20). Let x = v - -700\/9. Find the common denominator of x and 25\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(-132) - (-12552)\/(-22). Are b and -570 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 98*y + 58. Let b(u) = -273*u - 173. Determine -3*b(h) - 8*c(h).\nAnswer: 35*h + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 428218\nAnswer: -1\/428218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/94 and -81\/4.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.33 - -3.73. Let o = j - 0.4. Let q = 0.56 + -1.06. Which is the closest to -1\/4? (a) o (b) q (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-90)*((-140)\/(-8))\/7\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1465 and 1.2.\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 5*c - 2, -56*d + 2*c - 12 = -52*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 7 + 1. Suppose -7 = m + 3*p, 6*p + 18 = r*m + 2*p. Let u = 2 - m. Solve 2*t + 5*s = -29, s + u + 7 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14758 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 -106211 (base 7) in base 5?\nAnswer: -1101341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50957 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.139 - -0.07. Let d = n - -5.069. Let j be ((1 - 10)\/(-3))\/1. What is the biggest value in d, j, -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -192, -389, -586, -783, -980, -1177?\nAnswer: -1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**5)**41*a**(-27)\/a**(18\/11) assuming a is positive.\nAnswer: a**(-2119\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-23))\/b*b**(-4\/17)\/b)\/(b*b\/b**(-9))**(2\/35) assuming b is positive.\nAnswer: b**(-14794\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/9 + 38*i\/9 - 20 = 0 for i.\nAnswer: 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 28 - 2*z**3 - 13 - 14 + z**3 - 2*z**3 + 36*z**2 to the form k*z**2 + x*z + f*z**3 + v and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 16\/14)*294\/(-63). Which is the third biggest value? (a) -0.3 (b) 0.5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:53 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54526081 and 2043.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (41 + 16 + 422*h - 425*h)*(4 - 5 + 6) to w + c*h and give w.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128755768 is divided by 153.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 25 - 87 + 13*f + 31 + 14*f.\nAnswer: 27*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 10. Let f be c(5). Suppose f*r = -1 + 11. Let a(w) = -2*w**3 - w - 1. Calculate the lowest common multiple of a(-1) and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8.103086l?\nAnswer: 8103.086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**5 + 45*l**4 + 130*l**3 + 90*l**2 - 135*l - 135 = 0. Calculate l.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5369.02119 rounded to the nearest one hundred?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-20)\/(-30))\/((-6)\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140767591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/4290 and -61\/312?\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.038 (b) -1.32 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 23, -56, 5 in decreasing order.\nAnswer: 23, 22, 5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from oooooooqoqooooqe.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 4*j. Let m(a) = 13 + 10 - 30 - 33 + 6*a. Let d be m(7). Solve 4*k = d*p - 12, j*k - 10 = 2*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 41*a**2 - 44*a + 116. Calculate c(42).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 213 + -226eb?\nAnswer: -224d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 10*f**2 + 10*f + 5. Let j be v(-9). Let k be 5 - (4 + 2 + j). Suppose k*q - 22 = q. Calculate the remainder when 19 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2954 - 3536.\nAnswer: -582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2. Let y(t) = -7*t**2 - 5*t - 5. Let s(v) = -4*v**2 - 3*v - 3. Let h = -3 - 2. Let i(u) = h*s(u) + 3*y(u). Determine p(i(x)).\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 6169\nAnswer: 4\/6169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2. Let w(x) = 4*x + 3. Let b(p) be the second derivative of 3*p**3 + 7*p**2 + 18*p. Let s(a) = 3*b(a) - 14*w(a). Give s(n(m)).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/22 and 65\/606?\nAnswer: 6666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1615*j. Let f(k) = -696*k**2 + k - 2. Determine f(o(z)).\nAnswer: -1815324600*z**2 + 1615*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/77*1\/2\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/6 - 47999) + 3. Round g to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 12 = 4*a - 4, -11 = -5*j - 3*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**2)**(-38)\/(j\/j**(3\/2)*j**(-1\/19)))**37 assuming j is positive.\nAnswer: j**(-106079\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*k**2 + 480*k**3 + 3 - 219*k**3 - 305*k**3 to the form l*k + i*k**3 + v + j*k**2 and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.928 minus -0.5?\nAnswer: -0.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 n when three letters picked without replacement from ddnnnrndn.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-28))\/((-2)\/(-7)). Let u = 2 - -1. Solve u*a = -12, 0 = m*k - 0*a + 2*a + 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 6. Let l be a(-6). Suppose h + 6*h - 28 = l. Suppose -2*q = -h*m + 166, 0*m = -2*m - q + 81. What are the prime factors of m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -s**2\/2 + 3*s + 3. What is the least common multiple of 18 and j(-7)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4043 - 4553 = -51*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 298534 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w**3 - 4 + 4 + (-339*w - 32*w**2 + 339*w)*(-6*w + 2*w + 3*w).\nAnswer: 39*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/744 and -113\/42408?\nAnswer: 42408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-84))\/1)\/(657\/3504)*392\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(63) + -3)**2.\nAnswer: 18*sqrt(7) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w + 1 - 1)*(-1 - 2 + 2) + (0*w - 3*w + 5*w)*(-1 + 4 - 2) + w - 3*w - 3*w as c*w + m and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + (12 - (16 + 9)) + 6?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 1:04 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-8))\/(1134\/(-144))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15\/(-9) + 4)*3. Let u(o) = 6*o + 9*o - 33*o + f*o + 8*o. Let n(r) = -9*r + 6. Let y(j) = -j + 1. Let l(d) = n(d) - 6*y(d). What is u(l(t))?\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*c + 22 - 22)*(-2*c - 2 + 2).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6 + (-162)\/15)\/(2\/(-35))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-150)\/(-18)*(-2928)\/1220.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200071 is divided by 217?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/15, 5, 4302, 0.2 in descending order.\nAnswer: 4302, 5, 0.2, 1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10458*b = -6615*b + 328280 - 1728266 for b.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006788 to 6 dps.\nAnswer: 0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*a**5 - 1361116*a**4 - 289*a**2 + 1026*a + 1 wrt a.\nAnswer: -4020*a**2 - 32666784*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -342 - -350. Suppose n*r = -7*r + 25110. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 1660*c**2 + 38375*c.\nAnswer: 5*c*(c - 307)*(c - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h**3 - 4*h**5 + 9*h**3)*(-4 + 0 + 3 + (-3 + 1 + 1)*(1 + 3 - 3) - 1 - 2 + 4 + (-3 - 4 + 4)*(-3 - 17 + 2) + (2 + 1 - 2)*(-3 + 1 + 1)).\nAnswer: -208*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 15 = -k, 4*j = 3*j - 5*k + 9. Let h(q) be the third derivative of -q**4\/6 + 5*q**3\/3 + 245*q**2. What is h(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -2\/15*p**3 + 1\/75*p**6 + 0*p**2 - 5*p + 0 + 1\/25*p**5 - 1\/30*p**4. Suppose c(m) = 0. Calculate m.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 189, 375, 645, 1005, 1461, 2019, 2685?\nAnswer: 3465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-4)\/r)**(1\/57)\/((r**3*r*r)\/(r*r*r**(1\/12))))**9)**(-17) assuming r is positive.\nAnswer: r**(34935\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:36 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and -0.059.\nAnswer: -0.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 3*x - 7*x)*(2*x + 2*x - 3*x + (4*x - 3*x + 0*x)*(3 + 6 + 3) + x + x + 0*x).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*j = -3, 3*z = -5*j + 6 + 3. Let f be 2\/(-20) + 3009\/590. Solve z*u = f*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1470 or -4411\/3?\nAnswer: -1470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3 = -8*p. Let a = p - -10. Which is greater: 8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(-5 + -5*(sqrt(1584) - (sqrt(1584) + 1 + sqrt(1584) + -5)**2 - (-2 + sqrt(1584)*-1))).\nAnswer: -5400*sqrt(11) + 158720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -447 + 2102. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 40, 65, 130, 259, 476?\n\"Answer: 4*z**3 - 4*z**2 + 9*z + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 5:49 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 2003*p**3 + 21*p + p.\nAnswer: 2003*p**3 + 20*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 >= 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4499667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and -0.1090707049.\nAnswer: -0.8090707049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1474087312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24041 = 10*n - 159779. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.39 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 0 (b) -21 (c) -3\/71 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6820*o - 7832*o - 40 + 320*o.\nAnswer: -14332*o - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4146, 5, -1, 0 in descending order.\nAnswer: 5, 2, 0, -1, -4146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 866.26*32\nAnswer: 27720.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3835 - 1245 = -4*h. Let j(x) = x**3 - 6*x**2 - 6*x + 4. Let m be j(0). Let p be (h\/m)\/((-3)\/1200). What is p rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-2) - 1002\/(-668).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 10. Let k be s(6). Suppose v - 2*v = 0. Let h be (-2 - -114 - v) + 0. What is the greatest common factor of k and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of -i**4\/6 - 2*i**3 + 20*i**2. Let q be l(-3). Solve 5*r + 25 = -q*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 - 424*d + 10336.\nAnswer: 4*(d - 68)*(d - 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 14*g**3 + g**2 - g - 1. Let s be j(1). Suppose 9*k - 11192 = s*k. Is -2*k\/(-20)*(-20 - -15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30*0.04.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 11*y + 29. What is i(-11)?\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*c. Suppose 2*m + 0*m = c. Find the third derivative of 4*s**3 - 3*s**2 + 0 - 2*s**3 + m wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x - 7. Let c(l) = 16*l + 9. Give -2*c(q) - 5*y(q).\nAnswer: 3*q + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.06 (b) -2160 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + (sqrt(5445) - (sqrt(5445) + -2*(0 + sqrt(5445)) - sqrt(5445))))*5 + 0 + (sqrt(5445) + -1)*3 + -1)**2.\nAnswer: 19008*sqrt(5) + 1764436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -4. Let r(i) = -11 - 10 + 21 - p*i. Let d(x) = -3*x. Give r(d(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-3)\/(-2))*6. Suppose s - r*s = -8. What is the units digit of 26 + 6\/(s - 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 618613050 a multiple of 4730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5541428052?\nAnswer: 2, 3, 17, 19, 52951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.062385675 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10 + (53 - 57) + (-88)\/15\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3\/7 (b) 2\/11 (c) -2\/5 (d) 4 (e) 13\/11 (f) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*y = 27, -5*d - y + 3*y + 153 = 0. Suppose -32*k + d*k + 14653 = -4*u, 0 = 3*k + 3*u - 44019. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/52*(-42 + 44)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*j - 7717 = -8389 for j.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -0*j - j - w, -4*w - 160 = -4*j. What is the smallest common multiple of j and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 5 - 1 - m + 1. Suppose 5*k = 3*k. What is the units digit of y(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4554 + -2355. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -1 - -1)*-2. Let n be 5 + -4 - (o - (-2 + 3)). Solve 5*w = -n*w + 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15801 or -7.58?\nAnswer: -7.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 35 in -2, -2\/19, -7\/4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y**2 - 16*y + 11. Let w(m) = -4 + 2 - 24154*m**2 + 24155*m**2 + 3*m. Give -2*b(x) - 11*w(x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 50981 to the power of 1\/2, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from xwxwnnnwxxn.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 383 - 386 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5229)\/1767 - (-10)\/(-95)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -463*c**3*h**4 + c**3*h - 77*c**2*h**2 - h**5 wrt h?\nAnswer: -11112*c**3*h - 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142.5 - 142. Let k = 0.29 + -0.48. Which is the smallest value? (a) d (b) -0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + 1 + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4106 - 3755. Calculate the remainder when c is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*r + 5*a, 51 - 37 = r - 4*a. Solve -2*q + 2 = -r*l, -4*l - 5 = q - 4*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 4. Let u = 45 - 43. Suppose u*f - 2*w = 3*w + 92, 0 = 3*w + 12. Let o = 41 - f. Determine j(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 45*k + 235. Let n be a(9). Let r(x) = x + 25. What is r(n)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -105, -587, -1863, -4323, -8357?\n\"Answer: -65*t**3 - 7*t**2 - 6*t - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-372)\/682)\/((-2)\/22).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*7\/(28\/(-2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*(sqrt(56)\/sqrt(2)*1 + -4))**2.\nAnswer: -16*sqrt(7) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 35*t**2 - 14*t - 29. Let k(s) = -11*s**2 + 5*s + 11. Determine 4*b(f) + 11*k(f).\nAnswer: 19*f**2 - f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1391449.75 to the nearest 100.\nAnswer: -1391400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1053050, -4212201, -9477452, -16848803, -26326254, -37909805?\nAnswer: -51599456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 874*q**2 + 7*q - 20. Let h be a(3). What is h rounded to the nearest one hundred?\nAnswer: 7900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bytt when four letters picked without replacement from jtbtjbbtyfm?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2500 and 1100?\nAnswer: 27500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/22 - 47\/66. Which is smaller: -46\/9 or z?\nAnswer: -46\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1*-1)\/(8\/(-16)). Suppose 0 = 3*s - l*f - 19, 4*f + 32 = -4*s + 44. Let z(h) = 6*h - 2. Let j(u) = -4*u + 1. Determine s*z(b) + 7*j(b).\nAnswer: 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**2\/2 + 32*n + 2. What is the units digit of b(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24*(-5 - -2)\/(-6). Suppose 0 = -5*w + 8 + n. Let k(u) = 4*u - w*u + u + 1 + 2. What is k(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89583036?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 580994263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**3*h + 494*g**3 - 149*g*h wrt h.\nAnswer: g**3 - 149*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**2. Let u = 55 - 51. Let m(d) = -2*d - u*d - 3*d + 8*d. What is m(g(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, u: 1, e: 1, a: 1, d: 1}. What is prob of sequence sea?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -17*p**2 - 2*p - 1. Let y be x(-1). Let t = y + 6. Let q = t - -12. Solve d = -5*j + 5, -q*j + 8 = -2*d + 18 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9 + -1.2. Let f = u - -0.7. Let g(v) = v**2 + 2*v - 4. Let d be g(-4). Which is the smallest value? (a) -1 (b) f (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n**2 - 5*n - 6. Let c(q) = 3*q**2 + 6*q + 7. Let i(g) = -2*b(g) - 3*c(g). What is the units digit of i(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -14. Suppose 35 = 4*s - 3*u, -w*s + 7 = 2*u - 3. Suppose s*h + 7 = -3. Is h at most -5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-7))\/(((-3782)\/1281)\/62).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6396413 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 23, 21 in ascending order.\nAnswer: 8, 21, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26960810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 77*k**3 + 6*k**2*s**2 + 295*k*s**2 wrt k.\nAnswer: 462*k + 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - 49) + 10 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.06186818467 - 263.93813442533. Let s = -264 - q. What is s rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*h**4 - 25*h**2 - 3*h**2 + 8*h**2 wrt h.\nAnswer: -408*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 452 divided by 226\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/3 + 1\/6. Factor -1\/2*f**3 - f**2 + 0 - s*f.\nAnswer: -f*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o + 15*o + 2*o - 13*o - 11*o.\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 113146\/109053 + -2\/4039. Let d = 8\/27 + x. Suppose 0 + 28\/3*s**4 + 15*s**3 + d*s - 28\/3*s**2 - 49\/3*s**5 = 0. Calculate s.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.293167 to zero decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x + 9*x = 0. Suppose x = -0*i + 2*i - 4*d + 8, -4*d + 36 = 5*i. Let -5*j**4 + 4*j**i + j**2 - 3*j**2 + 3*j**4 = 0. Calculate j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21917.85cm to nanometers.\nAnswer: 219178500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**2 + 12*p**2 + 2*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = c - 1 - 22, -15 = -5*c. Let x = w - -14. Let s = x - -4. Calculate the least common multiple of s and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 0 + 0*t - 1\/540*t**5 - 8*t**2 + 1\/108*t**4 - 1\/54*t**3. Determine q so that z(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 191 - 11. Suppose -528 = 6*i + 18. Let b = m + i. Is 19 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*n**2 - 30*n**2 + 68*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of -r**6\/360 + r**3\/3 - 15*r - 8. Let f(k) be the third derivative of u(k). Let h(m) = -2*m**2 + 6*m. Calculate h(f(w)).\nAnswer: -2*w**4 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 202 or 219?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 288*z - 93*z - 178 - 132 - 158 with respect to z.\nAnswer: 195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttuttrrttt. Give prob of sequence trt.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y**4\/11 + 156*y**3\/11 - 168*y**2\/11 + 68*y\/11 - 6\/11 = 0. What is y?\nAnswer: 3\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than -124757286.16?\nAnswer: -124757274.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*b, -7 = 5*b - 22. What is the remainder when (-2)\/6 + 338\/6 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + 2*q)*(2*q + q - 5*q)*(-6 - 5*q + 6) + (2*q - 6*q + 3*q)*(2*q - 2*q**2 - 2*q).\nAnswer: 22*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.93 - -0.07. Let j = 8\/11 + -13\/33. What is the second smallest value in 7, m, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15168.985 rounded to the nearest 10?\nAnswer: 15170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q + 9 - 17 + 3 + q**2 - 157*q**3. Let s be j(-2). Let z = s - 11353\/9. Which is the nearest to -1\/2? (a) z (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192661631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) + (-9)\/30.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4859.3 and -4.14?\nAnswer: 4863.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 394*k**2 + 87*k + 746. Is p(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 14.4842\nAnswer: 6.5158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**3*c**2*t**2 - 2*b**3*c**2*t + 2*b**3*c*t**3 + 3*b**3*c*t**2 + 2*b**2*c**2*t**3 - 7*b**2*c**2 wrt t.\nAnswer: 12*b**3*c + 12*b**2*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 6. Let b be (-136)\/22 + 10\/55. Let f be u(b). Let v be (-1 - f) + 2 - 172. What is v rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 9\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-95)\/(3325\/(-30))*(12\/63)\/((-42)\/(-49)).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 126522, 253010, 379498, 505986, 632474, 758962?\n\"Answer: 126488*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*n + 4*n**4 - 168*n**3 + 168*n**3 wrt n?\nAnswer: 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 243, 248, 253?\n\"Answer: 5*j + 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (360\/(-288))\/((-5)\/92) + 5.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17149 + -6644. Calculate the greatest common factor of 55 and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oouccoc. Give prob of sequence ouco.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.15 - -2.15. What is the second smallest value in -3\/4, 1\/2, n, 45?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 450612744 to the nearest integer?\nAnswer: 767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5485904 less than 5485903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*o + 19*o**4 - 14*o**4 - 15*o**4 wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 536 + -3?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2157 + -307. What is the greatest common divisor of o and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1488 is divided by 495?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -5, -4, 1, 65 in ascending order.\nAnswer: -5, -4, 1, 16, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -39, -522 in descending order.\nAnswer: 68, -39, -522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -0.4. Let s = 473 - 475. Let w be s\/((-102)\/68*(-40)\/(-6)). Put w, v, 1\/9 in increasing order.\nAnswer: v, 1\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -5*p**4\/24 - 7*p**3\/12 - p**2\/2 - 8*p. Factor q(z).\nAnswer: -(z + 1)*(5*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*w**2 - 17*w + 17*w.\nAnswer: 162*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -141\/38 or -3?\nAnswer: -141\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -1 + (2 - -1). Suppose 2*l = j - 0 + p, l - 3*j + 10 = 0. Suppose l*y = -165 + 720. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-54)\/8*269048\/(-1014) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*k**4 - 4*k - 14 + 9 + 3*k**2 + 3 + 33*k**4 to the form s*k**4 + w*k**2 + h*k**3 + q*k + m and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 divided by 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 15 = 4*t + t, -1 = t. Let n be 2 - (v + 4)\/(8\/(-4)). Solve r = -n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 5) + 9 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-3)\/3) - 13\/(-2)*1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + o - 23, -b = 3*b - 5*o - 1. Suppose 5*f - a - 14 = 0, -b*a = f - 9*a + 2. Factor 0*w + 0 - 1\/4*w**f + 1\/4*w**2.\nAnswer: -w**2*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**7\/168 + h**4\/6 - 2*h**3\/3 - 1. Let k(v) be the third derivative of j(v). What is the derivative of k(u) wrt u?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32122 - -1212?\nAnswer: -30410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2. Let m = -482 - -484. Suppose -m*a = -f + 13, 3*a + 0*f = f - 18. Give q(a).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.85 plus 61937?\nAnswer: 61912.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -33*h**2. Let r(m) = -m + m + 3*m**2 - m**2. Determine r(c(a)).\nAnswer: 2178*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66210 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6}. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 + 11*a - 40. Is 50 a factor of i(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - 2*j**4 - j**4 + 8*j**4 + 9*j**2 - 9*j**2 + 3*j**4 + 4 - 4 + (-j + 0*j + 2*j)*(-5*j**3 + 5*j**3 - j**3).\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 2, -0.5, 28.\nAnswer: -0.5, 2, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zczz when four letters picked without replacement from czzzezce.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11445189?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from qqqixqixqmqbqhqi?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u. Let i(n) = 20*n**2 - 4*n**2 - 2*n**2. Give y(i(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26.7*0.7222.\nAnswer: -19.28274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001048681 to 7 decimal places.\nAnswer: 0.0001049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -183*p - 1017412 + 1946796 + 1531051. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -65, -0.8, -2\/7, -16, -1, -13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 111*f**2 + 129*f - 1947. What is j(112)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-31)\/3720*12.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-4 - -3) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121*b + 121*b - 569*b**3.\nAnswer: -569*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u - 55 = -19. Suppose -a = -3*y + 48, -3*a = 5*y - 2*y - 48. Suppose y = 5*j - 14. Solve -j*p - 2*v = -u*p, -5*v + 9 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1972*o - 981*o + 8*o**2 - 27*o**5 - 1046*o wrt o?\nAnswer: -1620*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*r - 10, 3*r - 1 = f + 9. Suppose 11 = f*q + 1. Suppose q*j + 5 - 50 = -5*n, 3*n = -3. Calculate the remainder when 19 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23208, 23210, 23212?\n\"Answer: 2*p + 23206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/14 at most 0.06662001?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of -a**5\/20 + a**4\/8 + a**3 + 7*a**2 - 11*a. Let i(n) be the first derivative of j(n). What is h in i(h) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f - 5. Let q be 72\/20 - (-3)\/(-5). Suppose 4 = q*u + 1. What is the greatest common divisor of f and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867365729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 n, 1 j, and 1 l when four letters picked without replacement from {r: 2, a: 1, j: 2, n: 1, l: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -120551 or -120552?\nAnswer: -120552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 1425?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 t when two letters picked without replacement from {q: 4, d: 2, t: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 0*j**3 + 0*j**6 + 37*j**2 + 0*j + 0 + 0*j**5 + 19\/105*j**7 + 11\/4*j**4. What is the second derivative of w(i) wrt i?\nAnswer: 456*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 30 = h. What is the lowest common multiple of 10 and (3\/(-3) + h)*-1?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50620, -50633, -50662, -50713, -50792, -50905, -51058?\nAnswer: -51257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -8345?\nAnswer: 8345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-1 + 3)\/2. Suppose p = t - 0. Solve 4*k = -p*d - 13, -5*d - 5*k + 3*k - 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10730 divided by -58?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (17 - 53) + 19 - (-1 + 9 + 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k**3 + 8*k - 6. Let o(q) = -q**3 + 19*q**2 - 17*q + 17. Let a be o(18). Suppose a*l + 40 = 30*l. Let t(v) = v**3 + v - 1. Calculate l*t(y) + n(y).\nAnswer: 4*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 305462960 divided by 22180?\nAnswer: 13772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k + 44*k**2 + 641*k**4 - 158*k**3 + 77*k**3 + 644*k**4 + 81*k**3 wrt k?\nAnswer: 30840*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -2*2 - (45 - -95). What is the common denominator of (-3 - p - 6)\/(8\/2) and 9\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -9\/2*z**2 + 14*z - 80 - 1\/3*z**3. Determine n(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14605820*k**5 - 38*k**2 + 76753*k wrt k?\nAnswer: -876349200*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 112*d**2 + 839*d + 731. Let i be g(-104). Let o = 14 + -9. Solve -3*w + 12 = i*m, o*m + 2*w = 8 + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:28 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 - 27*g + 46 in the form b + n*g and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3789, -1680, 1831, 6744, 13059?\n\"Answer: 701*i**2 + 6*i - 4496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1479186*r**3 - 581597*r wrt r?\nAnswer: -8875116*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/2)\/(12*8\/192). Let x(y) = -y**3 + 3*y**2 + 2*y + 2. Let o be x(3). Solve k*w = w - o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10) - 1)*300\/(-840).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -28 (b) 2\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 52*a**2 - 11*a. Let q(g) = -26*g**2 + 6*g. What is 6*f(z) + 11*q(z)?\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 2 - 1 + 11*n**2 - 13*n**2 + 4*n**3. Let a be v(1). Suppose -808 = -5*u - a*g, 0 = 4*u + 3*g - 155 - 491. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52850904.\nAnswer: 2, 3, 2202121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1*(6\/(-20) + (-2778)\/(-60))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 15, 17 in decreasing order.\nAnswer: 17, 15, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 4*g = -5*a + 14, -3*g = -6. Find the third derivative of -17*i**5 + 0*i**a + 161*i**3 - 161*i**3 + 14*i**2 wrt i.\nAnswer: -1020*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, n: 17}. Give prob of picking 2 o and 1 n.\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 347 = 3*n, 3*x - 7*x + 2*n + 706 = 0. Suppose 0*u = -2*u - 5*g + x, -4*g - 328 = -4*u. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.8 - 3.965. Round b to two decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -aa4?\nAnswer: -aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence md when two letters picked without replacement from jedmeeem.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23\/11 - -362\/231. Find the common denominator of z and 52\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a - 42*a + 10*a)*(-13 + 0 + 3)*(0 + 3 + 0)*(1 - 2 + 2)*(-1 + 1 + a) as z + f*a**2 + b*a and give f.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 8:59 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 399*s - 244*s + 0*s. Let u(z) = 5*z. Determine u(i(c)).\nAnswer: 775*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -8, -1\/57, -1\/6, 54, 62?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -546252 (base 8) to base 7.\nAnswer: -1362613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 6 = -2*f. Let p = f + 1. Suppose -1 = -p*k + 3*k. What is the greatest common factor of k and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + 0*o**4 - 2*o**4)*(-3 + 4 + 0) + 0*o**4 - o**4 + 0*o**4 + (2*o - 2*o + o**3)*(-2*o - 2 + 2) - o**4 - 3*o**4 + 5*o**4.\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1922 is divided by 276?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099 a factor of 34603114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 2*i - 82 + 6*i**2 - 169\/3*i**3. What is the second derivative of q(k) wrt k?\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 103553660.17983.\nAnswer: 103553659.87983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -3. Let c(y) = y**3 - 4*y**2 + 2*y - 5. Let m be c(l). Let u(v) = -2*v - 2*v**3 + 8*v**3 + 2*v**m + v. Calculate u(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 281912 = 11*q - 2*v, 5*q - 4*v - 352381 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 227, -0.3, -2, 1\/5, -3, -1\/2 in descending order.\nAnswer: 227, 1\/5, -0.3, -1\/2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -827.7007 + 827.3. Round c to two decimal places.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v. Let l be d(1). Let t be (-12)\/2 + (-17496)\/(-2889). Let p = 95\/214 + t. Which is the third biggest value? (a) l (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20581020?\nAnswer: 2, 3, 5, 38113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 635815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-27) - (-8)\/6. Sort -5, 3, 2\/3, i in descending order.\nAnswer: 3, 2\/3, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of h**3*p**3*u - h**3*p**3 + 28*h**3*p*u - 38*h**2*p**3 - 3*h**2 wrt u.\nAnswer: h**3*p**3 + 28*h**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -20*z - 10*z**2 - 156597*z**3 - 5 + 313187*z**3 - 156591*z**3. Determine t(-8).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*302.\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 780775 - -132?\nAnswer: 781017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -2*m**3\/15 - 36126*m**2 - 2447130080*m - 36704241800\/3 = 0.\nAnswer: -135470, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v = -15*v + 4. Suppose v = -2*x - 4. Is (5 + -1)*(-6)\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -16*n**2 + 0 - 1\/192*n**4 + 0*n + 0*n**3 - 1\/240*n**5 - 1\/960*n**6. Let h(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 13 - 3. What is the least common multiple of 10 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m - 2*z - 8, 0 = -5*m + 3*z + 28. Suppose -b - m = b. Which is greater: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1300) - sqrt(13) - (-1 + sqrt(637) + sqrt(13)).\nAnswer: -1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*t + 3674 = 56*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r**2 - 138*r - 72. What is z(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 687173.8 meters?\nAnswer: 687173800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16089*m**5 + 2*m + 2776 wrt m?\nAnswer: 321780*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(440)*1)\/sqrt(8) + sqrt(55))\/(-1*sqrt(176)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (45 - -24 - -55)\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 7:33 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-1 + 12 + -7)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((z**2 + 2*z**2 - 2*z**2)*(-4 + 0 + 2) + 2*z**2 - 2*z**2 - 8*z**2)*(54*z - 6726 + 6726).\nAnswer: -540*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.002011669 rounded to 6 decimal places?\nAnswer: -0.002012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2158*a - 2810 = -2352*a + 3010 for a.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5bac - -1?\nAnswer: -5bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18803, 37560, 56317, 75074, 93831?\nAnswer: 112588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 9*y + 14. Let m be w(7). Let o(g) be the first derivative of -1 + g**2 + m*g + 1\/3*g**3. Find the second derivative of o(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3209 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145600, 582494, 1310646, 2330056?\nAnswer: 3640724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1836299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -568 - -1099. What are the prime factors of v?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -8305839?\nAnswer: 8305835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -12*o - 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 42*o**2 - 236*o + 154. What is m(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 217 + -218. Suppose 5*u + 2*h = 26, -7*h + 2*h = -2*u - 7. Let j = u + f. Solve -2*x + g - 5 = 0, -3*g = j*x - 0*g + 30 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + sqrt(272) - sqrt(272)) - sqrt(272)) + sqrt(272))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -14. Let m = -4 - 4. Let j = 4 + m. Let p(o) = -2*o**2 + o + 5. Let s(y) = -2*y**2 + y + 4. Give j*p(q) + n*s(q).\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/6 - (-3)\/2. Suppose a*k - 12 = -2*k. Let i(q) = -k*q + 7*q - 3*q. Let w(h) = 2*h. Determine i(w(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 430991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 315, 654, 981, 1296, 1599, 1890?\nAnswer: 2169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 198903 (base 11) in base 12?\nAnswer: 128300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1)\/(2\/14). Suppose 0 = -u*r + 5*r + 44. Suppose -3*q = -r - 8. Solve -3*b + 8*b = q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 + 14 - 9 + 2*x**4 - 8 as a*x**3 + b + d*x + z*x**4 + w*x**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11643 (base 7) to base 3.\nAnswer: 11012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/13 + -2\/143. Let b = -0.07 + 0.17. What is the second smallest value in a, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 0 (c) -2\/3 (d) -6 (e) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 832266.5 litres?\nAnswer: 832266500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 919 + -837. Calculate the remainder when 1555 is divided by c.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -292230 - -292236. Let s(x) = -x. Let m be s(-3). Solve m*n + 5*y + 0 = -l, 2*n + 2*y = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 43*g + 84. Let q = -657 + 682. What is the units digit of f(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6387 divided by -25.\nAnswer: 6387\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1456419, 2912839, 4369259, 5825679?\nAnswer: 7282099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/7))**(-47)*w**0\/(w*w\/w**(-4)))\/((w\/w**(3\/5)*w*(w*w**(-1\/6))\/w)\/((w\/(w*w**(-2\/7)\/w))\/w*w*w**(-2\/9))) assuming w is positive.\nAnswer: w**(-12347\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**2 - 1\/840*m**8 + 0 + 0*m**5 + 0*m + 0*m**7 + 0*m**3 + 1\/300*m**6 + 0*m**4. Factor h(i).\nAnswer: -2*i**3*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 64*j - 13 = 68*j, b - 4*b + j = 2*b + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 0*y = 18*p - 6*y + 90, -4*y = -5*p - 82 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(-1 + sqrt(1700)*4*-6))**2.\nAnswer: -26438427 - 12960*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c - 5 = 0. Let g(t) = -t + 5*t - c - 3*t. Let b be g(9). Calculate the greatest common divisor of b and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5*d**2 + 2*d - 6. Let g(v) = -4*v**2 - v + 5. Calculate 4*g(x) + 3*o(x).\nAnswer: -x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-7 + 8)*(-4 - -2). Let b = 243\/253 + -20\/23. Which is greater: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 4*d + 5, b + 0*d = -d. Let i(r) = -2*r**3 + r + 1. Let g be i(b). Factor 13*f + 2 + 14*f**4 + 5*f**2 + 4*f**2 - 40*f**3 + g*f**4.\nAnswer: (f - 2)*(f - 1)*(4*f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x + 16 = 0. Let w be -4 + (x - -11)*-1. Let d(m) = -m + 40. Is d(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 26*p - 41. Give o(-15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1990 + 1992. Put s, -1\/6, -0.1 in ascending order.\nAnswer: -1\/6, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/15547718 and 1\/10?\nAnswer: 77738590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1078035 + 1078035 + 5*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-88)\/20) + (-4 - 558\/(-30))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(5500)*1)\/(-2*sqrt(405) - sqrt(405) - 1*sqrt(10)\/sqrt(2)).\nAnswer: 25*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4669, 4628, 4587, 4546, 4505, 4464?\nAnswer: 4423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 + -19. Let a(i) = -i**3 + 21*i**2 + 12*i + 1. Is a(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r + 4. Let o(t) = 2*t + 7. Calculate 3*o(u) - 7*q(u).\nAnswer: -u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 12*b - 23*b + 3*l, -b = 4*l + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 791 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (sqrt(68) + -2 + -5)*3).\nAnswer: -105 + 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 5, 0, -9, -22?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*-1*sqrt(76) + -3*(sqrt(76) + 1 - sqrt(76)))*-5)**2 - ((1 + sqrt(76) + sqrt(76) - sqrt(76))**2*-6 + (sqrt(76)*-2 - sqrt(76))**2*1)*4.\nAnswer: 1596*sqrt(19) + 46837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263 divided by 169.\nAnswer: -263\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788547.\nAnswer: 3, 31, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 3 (b) -5 (c) -7.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249224?\nAnswer: 2, 31153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g**2 + g - 8. Let a be b(-3). Suppose -225 = 25*f - a*f. Put -4, f, 0 in ascending order.\nAnswer: -4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429262036 to the power of 1\/5, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by 95?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-2)\/(-24)*2\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in years?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 + u**2 + 8*u**2 - u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**5 - 2*h**5 - h**5 + (-1 + 1 + h**5)*(2 + 0 - 4) + 0*h**5 + 0*h**5 - h**5 - h**5 + 0*h**5 - h**5.\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -288 (b) 4 (c) -3 (d) -0.04 (e) 3 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46925162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2072 by -37.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 12:41 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*n**3 + 6387*n**2 + 850668*n + 212268.\nAnswer: 3*(n + 266)**2*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 863255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-4)*4\/(-12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 30\/(-9))*2\/112*16.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11013 + 2113?\nAnswer: -2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f + 163. Calculate k(-6).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 117?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + u + 4681 = -2*l, 3*u + 3*l = 4656. What are the prime factors of u?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2612, 10294, 22976, 40580, 63028, 90242, 122144?\nAnswer: 158656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/3)\/(-1)*2. Suppose 0*g + l*g + 44 = 0. Let h be g\/(-5) + 4\/(-10). Solve -t = -h*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 3\/5 (c) -0.5 (d) -1\/12 (e) -84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, b: 5, r: 2, z: 1, k: 1, n: 6}. What is prob of sequence bnn?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -1.5, -6, -1\/2 in decreasing order.\nAnswer: 65, -1\/2, -1.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 4*h + 7899 - 7915, 5*h = 5*i + 25 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(10\/((-40)\/(-3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 20523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 181705290 and 25662.\nAnswer: 3666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 443*s**6 - 873*s**3 + 873*s**3 + 3 - 3 + 30*s**2 wrt s.\nAnswer: 53160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-3) + 7 - 1. Suppose h*d + 0*d - 16 = 0. Suppose -d*w + 6 = -2. Solve -w*p = -3*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22369338, 22369337, 22369336, 22369335?\nAnswer: 22369334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8267.02 weeks in hours?\nAnswer: 1388859.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*c**3 - 28*c + 27*c + 1 to y*c**3 + z*c**2 + k + r*c and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174*u**3 + 825*u**2 - 164149*u?\nAnswer: 1044*u + 1650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/28*(-2)\/(-7)*5\/(-5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 649261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 188*s**5\/5 - 211*s**4\/2 - 1006*s. Find the third derivative of w(x) wrt x.\nAnswer: 4512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287184?\nAnswer: 2, 3, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 546611 - -73?\nAnswer: 546704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16231, -16245, -16259, -16273?\n\"Answer: -14*o - 16217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 191 = -2. Suppose -20*r + 14310 = -14*r. Suppose 5*a - r = -10*a. What is the remainder when a is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 1096.2, -12, 2\/7, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10205 by -590.\nAnswer: -2041\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1089634 and -0.5.\nAnswer: -544817","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**2*k**3*r**2 - 10*h**2*k**3 + 3*h**2*k*r - 3*h*k*r**2 + 25*h - 2*k**3 wrt h.\nAnswer: 6*k**3*r**2 - 20*k**3 + 6*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**4 + 1138*k**3 + 147632*k**2 + 132888*k - 1758240 = 0.\nAnswer: -370, -198, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253*o**3 + 202*o wrt o?\nAnswer: -1518*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) + -1) + (sqrt(28)\/sqrt(2))\/sqrt(2) + 2.\nAnswer: -2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4676 + 2428. Let p = -1385 - o. Does 47 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 8 + 1)*(x**2 - x**2 - x**3) - 4*x**3 + x**3 + x**3 + (x**2 + x**2 - 4*x**2)*(0*x + 7*x - x) - 7*x**3 - 27*x**2 + 27*x**2.\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5481 and 2268?\nAnswer: 65772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 451 - 449. Suppose 2*m + 2*x = 0, x = -g*m - 3*x. Solve m = 4*f - 7*f + s - 1, 10 = -5*s for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 364 + -191. Let q be y\/(-3 - (-124)\/40). What is q rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -9 (b) 2 (c) -121 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*w - 46. Let d = w + 11. Let o be (-2)\/(-7) + d\/14. Which is the biggest value? (a) -3\/4 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2088*f**3 - 145*f**2 - 145*f - 145. Let c(d) = -29*d**3 + 2*d**2 + 2*d + 2. Suppose 0 = -4*q + 5*s + 43, -3*s - 264 = -243. Give q*b(j) + 145*c(j).\nAnswer: -29*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308364 is divided by 102787?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-22)\/(-231)*3\/(-7)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 8*b + 9. Let l be y(6). Let n be 0 - (0 + l + -43). Let v = n - 28. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 v when three letters picked without replacement from {v: 9, y: 1, p: 4}?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 250116327 to the nearest integer?\nAnswer: 15815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 78047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 12*r - 162. Solve -17*k + r*k = -4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i. Let k(m) = 32*m - 1439422. Calculate k(y(o)).\nAnswer: -64*o - 1439422","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-12 + -1 + 23 + (5 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, n: 7}. What is prob of sequence ddnd?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**2 + 2*m. Let j(t) = -3303*t**2 - 8*t - 822. Let d(o) = 3*i(o) + j(o). Find the second derivative of d(x) wrt x.\nAnswer: -6624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 83.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*x + 2 = -2*x, 0 = 2*x. Let k be -1 + 22 - r\/1. Suppose k = 2*s - 59. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*1 - sqrt(152))*-4 - -5*2*sqrt(152))\/(-5*sqrt(128)*-2) + 5.\nAnswer: sqrt(19)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 + -81. Let u be (-30)\/108 - 1\/a. What is the nearest to 1 in -6, u, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00038718229 to 5 dps.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 155217*k**3 + 6785*k**2 - k - 10?\nAnswer: 931302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*p + 2 + 2, 0 = -5*r + 4*p + 34. Suppose 0 = 5*g - 2*u - 356, -u - 149 = -2*g + 2*u. Calculate the highest common divisor of g and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3 = -2. Let y(h) = -5*h - 1. Let c = 2 + 1. Let z(w) be the third derivative of -w**4\/24 - w**3\/6 + w**2. Calculate c*z(k) + r*y(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1615 - -2999. Is 1381 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m**2 + 24*m + 26. What is the tens digit of s(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -935, -1965, -3369, -5147, -7299, -9825?\nAnswer: -12725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392 = -12*x - 2*x. What is the remainder when 83 is divided by x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2715\/44 - -664\/11. What is the common denominator of i and -67\/44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1837*j - 12*s + 76 = 1835*j, 4*j + s = -27 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 174 - 221?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 6. Let p be a(-3). Let q be ((-108)\/21)\/(9\/(-42)). Calculate the greatest common factor of p and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from -1519429422338.\nAnswer: -1519429422348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1035?\nAnswer: 1\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.1 + -0.1. Let o = 5.2 - w. Sort -4, o, 3\/4.\nAnswer: -4, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - -7.68. Let f = 7.685 - u. Round f to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 0*t + 0*t**7 + 0*t**6 + 0 + 0*t**5 - 4*t**2 - 25\/12*t**4 - 1\/7*t**8 + 0*t**3. What is the second derivative of v(p) wrt p?\nAnswer: -960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7833596976.\nAnswer: 2, 3, 54399979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1595 + 1595.002364. What is t rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) 5 (c) 0.5 (d) -108\/5 (e) -1.2 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, -20, 5, -0.4, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/20)\/(((-144)\/20)\/(-12)). What is the nearest to 11 in -0.3, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyek when four letters picked without replacement from {w: 2, h: 1, k: 1, y: 2, e: 4}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3835917 and 197664?\nAnswer: 6177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000043395 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**4\/i)**(-49)*(i*i**(1\/21)*i)\/((i*i\/(i*i*(i**(2\/9)\/i)\/i))\/i) assuming i is positive.\nAnswer: i**(-9181\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = 13*a + 73 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*t + 4*r, t - 3*r - 6 = -2*t. Let h be t\/(-6) - 16\/(-3). Let n be (-11)\/44 - 17\/(-4). Put h, -2, n in descending order.\nAnswer: h, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 1:42 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/6*28*-18*(-4)\/24.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:17 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 2*z**2 - 4 + 0*z**3 - 2*z**3 - z**4 + 6 - 1 - 2 in the form p*z**4 + y*z + n*z**2 + r + d*z**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -2*o**2 - 36*o - 325. Let t(f) = f**2 + 1. Let k(q) = 5*t(q) + 5*u(q). Suppose k(i) = 0. What is i?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 73441\/4*w + 271\/2*w**2 + 1\/4*w**3.\nAnswer: w*(w + 271)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540893249 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 3*f = 112. What is the third smallest value in -10\/3, 0.11, f?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205824 divided by -6?\nAnswer: -34304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5358214 - 0.\nAnswer: 5358214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1 + 6)*-1)\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maammamaamaa. Give prob of picking 1 a and 1 m.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42676 and 184861763?\nAnswer: 10669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404350.\nAnswer: 2, 5, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*l**3 + 58*l**3 + 174*l**3 - 60*l**3.\nAnswer: 585*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 9:49 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 + 21*x + 100. Determine u(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 186.9794ml?\nAnswer: 0.1869794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 689*k - 233*k - 230*k - 230*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -11. Suppose -t - 2 = 3*d, b*d + 0*t = t + 2. Is 5 a factor of -1*(-1 - d)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -201\/34 + 3559\/510. Let q(y) be the second derivative of 32\/5*y**2 + 1\/15*y**4 - 16*y - j*y**3 + 0. Let q(g) = 0. What is g?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 135 - 135.00236. What is z rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**2*v**2 - o**2*v - 2*o**2 - 53*o - 98*v**2 wrt v?\nAnswer: -2*o**2 - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 9:34 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/102 or -1?\nAnswer: -1\/102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 11*q - 4 + 156*q**2 - 4*q - 157*q**2. Let x be m(6). Let f(k) = 23*k**x - 10*k**2 - 9*k**2 - k**2. Let v(z) = 2*z**2. Calculate v(f(j)).\nAnswer: 18*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - a + 1 = 3, -a - 8 = s. Suppose 39 = -2*q + 3*p, 6*q - q + 2*p = -107. Let v be s\/9*3 - q. What is the greatest common factor of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*r + 754, 4*r + 105*h - 1514 = 108*h. What is the greatest common factor of 140 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*(sqrt(76) + 0) - -1*(sqrt(76) + 1)))**2.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106.26*-0.6.\nAnswer: 63.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - w**2 + 2*w + 5. Give h(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 1:28 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*1*-2 + sqrt(104)*-2*5)\/(sqrt(128) - (sqrt(128) - (sqrt(128) - sqrt(128)*1))*-4).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 6:55 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (272*v - 3 - 4 + 2172*v + 7 + 5071*v)*(-2 + 5*v**3 + 2) as m*v**4 + i + a*v**3 + b*v**2 + p*v and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t. Let u be -2 - ((-1029)\/(-33) - (-6)\/(-33)). Let d(m) = 5*m**2 - 4*m. Let p(j) = 81*j**2 - 66*j. Let n(o) = u*d(o) + 2*p(o). Give a(n(r)).\nAnswer: 39*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 566552*p**2*t**2 - 34362*p*t**2 - 3*p*t + p wrt p.\nAnswer: 1133104*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -281.\nAnswer: -1405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6152541\/653 or -9423?\nAnswer: -6152541\/653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**6\/180 + 92*j**3\/3 - 69. Let n(c) be the third derivative of f(c). Let z(x) = -2*x**2 - 1. What is -4*n(t) - 5*z(t)?\nAnswer: 2*t**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103, -636, -2091, -4930, -9615, -16608, -26371?\nAnswer: -39366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 134, 613, 1446, 2633, 4174, 6069, 8318?\n\"Answer: 177*w**2 - 52*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 855 + -527. Calculate the least common multiple of 28 and t.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*a**4 - 2*a**3 - 66*a**2 - 53637*a.\nAnswer: -480*a**2 - 12*a - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x = -13*x + 3460. Let y = x - -8998\/13. Factor -8\/13*l - 8\/13 + 2\/13*l**3 + y*l**2.\nAnswer: 2*(l - 2)*(l + 1)*(l + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7056544 hours in seconds?\nAnswer: 2540.35584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g + 24*g - 136 = -5*a, -3*g = 2*a - 130. Calculate the remainder when 82 is divided by g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) -3 (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6194444 and -0.5.\nAnswer: -0.8097222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 - 9*s**2 - 2*s - 9. Let j be f(-7). Suppose 30 - j = -5*u. What is the highest common factor of u and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2680 + -2680.000002166. What is i rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -106*s - 1915. What is n(-18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 725564439.\nAnswer: 3, 61, 440537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(3\/(-78)*(-546)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2354 (base 6) in base 7?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078189182 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.307 micrometers in kilometers?\nAnswer: 0.000000087307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 122680 * 0.1\nAnswer: 12268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-6 - (20 - 56))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -850*o**5 - 513*o wrt o.\nAnswer: -17000*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552320 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/8 + (-2)\/(-8). Let z be ((-62)\/93)\/((-20)\/(-12)). What is the third biggest value in -7\/4, z, p?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1106138 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2 - 4 + t**3 - 2 - 3*t - 3*t**2. Let f be z(4). Let q be -3 + 1 - (-4 - f). Is q > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 1. Let b = 47 - 43. Let h(y) = 3*y + 1. Let l(z) = 2*z + 1. Let m(f) = b*l(f) - 3*h(f). Determine -j(k) - m(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 - -26. Calculate the common denominator of h\/2 - 2\/(-4) and 93\/(-2)*28\/(-63).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -36. Suppose l + 92 = -u*l. What is the common denominator of 28 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 16.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2060 divided by 515.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 10. Let f(y) = -y**2 + 5*y + 17. Let i(x) = -2*x**2 + 9*x + 34. Let l(n) = -7*f(n) + 3*i(n). Is l(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -57?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(4235) + (2*sqrt(4235) - sqrt(4235)) + sqrt(35))\/(sqrt(700) + sqrt(700) + -1*sqrt(700) + sqrt(700)).\nAnswer: 2 + 23*sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 196\/(-48))\/((-55)\/(-264)*-8)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 6*u**2 + 7*u. Give d(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.2, 4, -1\/5, -2\/27?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*p**4\/8 + 33*p**3\/4 + 3*p**2\/8 - 39*p\/2 - 21\/2 = 0. Calculate p.\nAnswer: -1, -2\/3, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 5*i**2\/2 + i + 3. Suppose -113*v + 29*v = -46*v - 152. Suppose -3 = 4*q - q. Let k(d) = d + 1. What is q*f(x) + v*k(x)?\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**22)\/(a\/(a*a\/(a\/(a**9*a*a)*a)*a)))\/(a\/(a\/(a**(15\/2)\/a))*a**(-10)\/a*a) assuming a is positive.\nAnswer: a**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 3)*(-2*z**2 + 6*z**2 + 9*z**2).\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*x + 15. Calculate the least common multiple of 2 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -66, -77, -88, -99?\n\"Answer: -11*x - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**13)**36*(n\/n**8)\/(n*n**(4\/11)) assuming n is positive.\nAnswer: n**(5056\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -701*s + 709*s - 8 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 - 31*r + 13. Let v be d(23). Suppose v = 8*h - 592. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -17. What is the highest common factor of 11 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8652950?\nAnswer: 2, 5, 173059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 4. Let f be v(-11). Let j = 13 - f. Let p = -769.01 - -769. Which is the nearest to 0.2? (a) -0.2 (b) p (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2193 is divided by 158.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 0*d = -13*d. Suppose -4*a + 0*a = d. Solve s = -a + 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let i(z) = 27*z - 12. Let g(l) be the third derivative of 13*l**4\/24 - l**3 + 6*l**2. Let y(r) = -9*g(r) + 4*i(r). Determine -6*d(q) - y(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 11*v**2 - 9*v + 12. Let d be c(10). Let s(y) = -50*y + 4205. Let i be s(84). Solve -4*w - d = 2*f, 4*f - i*w - 5 = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -66, -63, -38, 21, 126, 289?\nAnswer: 522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(2\/15))*w*(w*w**(-7))\/w*w assuming w is positive.\nAnswer: w**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 26*k**2 - 1359 + 4*k**3 + 1407 - 3*k - 5*k**3 + k. What is b(26)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4855 divided by 2?\nAnswer: 4855\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9959245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-12)*3)\/((-153)\/(-18)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-12)\/9*3. Let f(q) = 4*q + 0 - q - c - q. Let z(r) = r**3 + 148*r**2 - 1249*r + 13. Let i be z(8). Give f(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 18*w**2 + 150*w**2 + 2*w.\nAnswer: 174*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w - 5*w - 26*w = -779 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w = 72. Let z(u) = 16*u + 30. Let p be z(9). Suppose -20*y = -p + 54. What is the greatest common divisor of y and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -10*s**2 + 89*s + 4. Calculate x(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24586*t**2 + 37211*t?\nAnswer: -49172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttbjjj. What is prob of picking 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.12 - 129.79. Let s = y - -138. What is s rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*n - 511 - 831 = 0. Let z(m) = -m - 14. Give z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279936709.\nAnswer: 13, 19, 37, 30631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/13 (b) 4.06 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2382025, 4764061, 7146101, 9528145?\nAnswer: 11910193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346, -469, -536, -541, -478?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392 + -406 + (1 - -12) - (-29 + 81).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -1\/2*t**3 + 0*t - 3*t**2 - 7\/60*t**5 - 1\/3*t**4 + 0 - 1\/120*t**6. Give s(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115.6 + -193.9. Let i = u - -310. Which is the smallest value? (a) 3 (b) i (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 47*f - 43. What is the units digit of r(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/7 - 6*h.\nAnswer: 2*h*(h - 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1602958679 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*12*9\/81*6\/(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*j = 3*p - 15, 0 = 5*j - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*l**4 - 1834*l**3 + 4172*l**2 - 2438*l - 84 = 0. Calculate l.\nAnswer: -3\/92, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 + 7*p - p**3 - 14 - 6*p - 78 + 0*p as w*p**3 + i + x*p + a*p**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 0. Let l = t + -3. Suppose l = -0*b - b - 1, 63 = 3*o - 3*b. What is the smallest common multiple of 6 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*d**3 + 64*d**3 - 132*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 2*a - 1936. Suppose -4*b + a = 3*w, 323 = 2*w + 2*b + b. Suppose 3*k + k = w. What is the greatest common divisor of 100 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 19.96 and -0.29.\nAnswer: 19.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(75\/(-9))*5 + 6. Suppose v + 2*r = m*v - 4, -2*v = 5*r + 10. Suppose v = 2*k + 5 - 41. Calculate the remainder when k is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13772 and 31460?\nAnswer: 9846980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 218*f**3*o**3 + f**3*o**2 - 106*f**2*o + 2*f*o**3 wrt o?\nAnswer: 1308*f**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 1 - 1)*(0*s + s - 5*s)*(-2 + 0 - 1)*(8 - 8 + 5*s**2).\nAnswer: 60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 30 = 5*f + 3*s, -s = 2*f - 9. Suppose 5 = w - f. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1943, -3938, -5983, -8078?\n\"Answer: -25*d**2 - 1920*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 23, -5, -1, 3 in descending order.\nAnswer: 23, 3, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzhzrzhjzryhrztjrz. What is prob of picking 1 h and 1 t?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 3 - 5)*(-3 + 0 + 1) - 1 + 1 - 2 + (4 - 3 + 4)*(2 + 0 + 1))*(5*o**2 - 2 + 2).\nAnswer: 85*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 20. Let o be (i\/(-4))\/(5\/80). Let g(t) = t**3 + 18*t**2 - 21*t + 2. Let f be g(-19). What is the greatest common divisor of o and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 18615298.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83\/4 + -43\/2. Which is the nearest to -1\/2? (a) x (b) 0 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1709 + 1709.3. Which is the closest to 2\/9? (a) 1 (b) 0.03 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2276, 2283, 2290, 2297?\n\"Answer: 7*x + 2269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2508 and 11066.\nAnswer: 1261524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 5*r - 58, -3640*r + 32 = -2*o - 3636*r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25522761 is divided by 12761379.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087695 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: b\"What is the sth term of -2592, -2582, -2558, -2514, -2444?\n\"Answer: s**3 + s**2 - 2594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5*f + 0)*(26 + 3*f - 24 + 4*f).\nAnswer: 35*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -5*d, 25 = -4*o + 72*d - 77*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133313269 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10 and (-45)\/(-12)*114\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x = 40*k - 17*k - 12*k - 8*k + 389, 0 = 3*k + 9 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1512 + 2?\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -57*d**3 - 471*d**2\/2 - 300*d - 243\/2 = 0. What is d?\nAnswer: -81\/38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1 = 5*u + 26, 0 = 5*h + 2*u - 21. Suppose -h*r + 664 = x, -x - 3*r + 363 + 311 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-10))\/((-72)\/30). Let c(i) be the second derivative of -1\/2*i**2 - d*i**3 - 2*i + 0. Differentiate c(h) with respect to h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, o: 1}. Give prob of picking 1 t and 1 o.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b + 3*l - 5 + 18, -3*l - 8 = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fugu when four letters picked without replacement from fguuigigf?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*p - 2*g + 292 - 677 + 305, 0 = 2*p - p - 5*g + 24 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times -3245537?\nAnswer: -129821480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**2 - h - 16. Let p(c) = -5*c**2 - 2*c - 48. Calculate -11*l(g) + 4*p(g).\nAnswer: 2*g**2 + 3*g - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 4*u + 5 - 5 - 3. Let v(z) = 3*z - 13. Let g be v(6). Does 7 divide q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8384925 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*o - o + o**3 - 8*o as v*o**2 + g*o + s*o**3 + m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 556522 (base 7) in base 8?\nAnswer: 300067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 + 72. Suppose j = 3*u + 3, 2*m - 5*u - 5 = -2*m. Suppose m = -4*a - 128 + 1028. What is the greatest common divisor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2 - 0. Let f be (12\/(-15))\/(b\/10). Solve 4*i + 7 = -i - 2*w, -f*i + w = 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b5562 + 1?\nAnswer: -2b5561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000349079 to seven dps.\nAnswer: 0.0000349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 713198572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3002723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 651157389*t + 569652053.\nAnswer: 651157389","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2. Let g(f) = f**2 + 3*f. Let n be g(-3). Let t(k) = -4*k**2 + n*k**2 + 0*k**2. What is b(t(q))?\nAnswer: 16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -4 - (-5 + (2 - -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 1. Let p(u) = 2*u - 8. Let b be p(j). Is b\/(-8)*184\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 164 = -4*k, -n - k + 49 = 2*k. Let q = n - 25. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 = -2*c - c - 3*c - s, -10*s = -2*c - 12*s - 58 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qla when three letters picked without replacement from {p: 3, v: 2, l: 1, q: 1, s: 1, a: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 divided by 51.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/16 + 2)\/((-3)\/28)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*u + 5*c, 4*c + 7 = u - 5. Suppose u = 5*g - 107 + 12. Suppose 0 = y, 10*y - 5*y = -4*b + 140. What is the remainder when b is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*18046045\nAnswer: 1443683.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1327*g = 1250*g + 77 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 15*q + 5. Let c be m(-15). Solve 3*b - 3*w = -30, -2*b - w - 2*w = -c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1585325934.\nAnswer: 2, 3, 88073663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**3 - 37 + 34 - 2*q**3 + 24*q**2 + 2*q**3 to v*q**2 + s*q + a + d*q**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7225 + 7223. Are g and -18.47 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 8*l + 9. Let d be z(-7). Suppose 2*i - 10 = d. What are the prime factors of (8\/12)\/(1\/i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-4))\/1 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60 - 19. Which is greater: t or 39?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102 + 2001221?\nAnswer: 2001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 574 or 23590\/41?\nAnswer: 574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2748 is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10201*z**5 - 8131*z**2 - 866*z**2 - 4175*z**2 - 353*z**2 + 1565*z**5 wrt z?\nAnswer: -518160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 7*j + 18. What is the highest common factor of 81 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z**3 - 116*z**2 - 94*z. Let a(r) = 15*r**3 + 456*r**2 + 375*r. Let q(b) = 6*a(b) + 22*w(b). Factor q(f).\nAnswer: 2*f*(f + 1)*(f + 91)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6315.7 - 6316. Sort -2, l, 32 in descending order.\nAnswer: 32, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = 2*d. Calculate the remainder when 0 - d - -2 - -35 is divided by ((-16)\/2)\/(4\/(-10)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 2195?\nAnswer: 2191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (34983\/(-845))\/((2 - 2) + (-3)\/5) - -2?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -4*y**5\/15 + 11*y**4\/3 - 47*y**3\/3 + 55*y**2\/3 - 25*y\/3 - 48. Factor h(g).\nAnswer: -(g - 5)**2*(2*g - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43146965 or -43146968?\nAnswer: -43146965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 0*j**3 - j**2 + 0 - 1\/3*j**4 - 5*j. What is the derivative of o(g) wrt g?\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 94 in -25\/9, -0.3, 0, -8, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 507029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*f**2)*(4 - 2 - 1) + 19*f**2 - 3*f - 2*f**2 - 6*f**2.\nAnswer: 13*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3339911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**3\/7 - 31244*a**2\/7 - 1724362*a\/7 - 1693116\/7 = 0.\nAnswer: -54, -1, 15677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51956 = -4*j - u, 4*j = -2*u + 33721 + 18235. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -265*y**3 + 6*y - 2*y + 4*y**5 + 257*y**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2\/4 - 204609*b\/4 + 102303\/2.\nAnswer: 3*(b - 68202)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 634 + -636. Which is the closest to l? (a) -0.4 (b) -1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1 (c) 3\/2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(0 + 3 - 2)*(0 + 1 - 2)*(9 - 10*r - 9).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -95\/1246 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 + 8450*d**2 + 1144080*d.\nAnswer: -5*d*(d - 1816)*(d + 126)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 914 (b) 2.42 (c) -2 (d) -0.1 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 103, 106, 111, 118, 127, 138?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11998 + 12293. Calculate the remainder when f is divided by 264.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9702 and 30?\nAnswer: 48510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 d when two letters picked without replacement from dnddqidrdrrdiir?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 10*y**2 + 15*y + 42. Determine z(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 7*f + 25. Let l(v) = -20*v - 75. Let k(j) = -6*l(j) - 17*o(j). What is the remainder when 96 is divided by k(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**4 - 2*b + 5*b**4 - 41 + 39)*(-3200 + 3200 + 570*b).\nAnswer: 570*b**5 - 1140*b**2 - 1140*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -2*l**7\/105 + l**6\/15 + l**5\/5 - 4*l**4\/3 + 8*l**3\/3 + 7*l**2. Factor p(y).\nAnswer: -4*(y - 2)*(y - 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 + -11979?\nAnswer: -12077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9377*f + 161*f - 5892*f.\nAnswer: -15108*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -64349698, -64349700, -64349702, -64349704?\n\"Answer: -2*j - 64349696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 149*x + 5394.\nAnswer: (x + 62)*(x + 87)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108449 + -38996. What are the prime factors of h?\nAnswer: 3, 7717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 76, 121, 196, 301?\n\"Answer: 15*l**2 + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 9 = l, -14 = -6*l + 2*l + k. Suppose -r - 23 = 4*i, 8 = -4*i + r + l*r. Let f be i + 4 + (-13800002)\/(-2). Round f to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(170)*-2 + 1*(sqrt(170) + (sqrt(170) - 2*sqrt(170))))\/(6*sqrt(90)*1).\nAnswer: -sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52339894?\nAnswer: 2, 139, 188273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 10*j + 14. Let d be l(10). Let k be d\/12*16\/28. Let y = 0 + 0.4. What is the nearest to 0.2 in y, k, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 461*v - 6144. Calculate the remainder when 2313 is divided by k(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 5280*h - 285376.\nAnswer: 4*(h - 1372)*(h + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a factor of 9723959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 5834294586?\nAnswer: 5834294585.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2686089 + -585821. Suppose 11060268 = -7*c + u. What is c rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3 - 201893*y**2 + 403793*y + 605685 = 0?\nAnswer: -201895, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-5)*p*p**(7\/3)\/p)**22*(p\/(p*p*p**(-1\/2)))**46\/((p*p**6\/p)\/((p\/(p**(-2\/33)\/p))\/p)) assuming p is positive.\nAnswer: p**(5128\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -49654297, -49654299, -49654301, -49654303, -49654305?\n\"Answer: -2*g - 49654295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 899046, 1798054, 2697062, 3596070, 4495078?\n\"Answer: 899008*c + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 300, 397, 494, 591, 688?\n\"Answer: 97*b + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 - 19*w + 20.\nAnswer: -(w - 1)*(w + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7)\/l)\/(l*l**6))\/(l**(2\/3))**(-19) assuming l is positive.\nAnswer: l**(104\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 - (-12368)\/12)*(-126)\/(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.271 and 9.81841.\nAnswer: 2.66078911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-69)\/4)\/(24\/(-64))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(-2)\/4 - (-1152)\/(-18). Let q = c + 164. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i**2 - 4*i + 2. Let o be u(4). Suppose -2*m + 6*m + 5*y - 31 = 0, 5*m + 4*y - 32 = 0. Suppose -2*l + h = -133 + 21, -m*l = -3*h - o. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*m**2 - 114*m**2 + 7*m**3 - 6*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(209)\/(1*sqrt(1100)))**2 - (-5 + -1 + (sqrt(228)*1 - sqrt(228))\/sqrt(12))) + 5.\nAnswer: 569\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33372665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1359 - 2.\nAnswer: -1361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 24 = 3*d, 22*d - 15 = -b + 25*d. Find u such that 9*u**4 + 25 + 17*u**5 - 38*u**2 + 23 + 12*u**b - 10*u**2 - 20*u**5 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 400*r**2 + 4*r**3 + 145*r - 146*r - 388*r**2 - 6 to t*r**3 + o*r**2 + j*r + q and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 3*h. Solve -6*d + 5*d = h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(15\/(-4))*10.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002681033575 rounded to six dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/3, 1\/9, 0.4 in decreasing order.\nAnswer: 4, 2\/3, 0.4, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*a**2 + 42*a + 40*a + 42*a - 8*a**3 - 1869 + 1869 - 126*a.\nAnswer: -8*a**3 - 36*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -162 - -181. Let x(f) = -6*f - 14*f - 9*f + a*f - 7*f. Let r(p) = -13*p. What is r(x(d))?\nAnswer: 221*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 74.68047ml?\nAnswer: 0.07468047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1297596 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 3. Let h be i(4). Let u be ((-1)\/h)\/((-1)\/1). Do u and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 122*s + 17. Let t(a) = 3*a - 6. Let x be t(5). Is u(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 502.\nAnswer: 20\/251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*b = b + 83, 3*b = 5*h - 94. Let a = 10 - 7. Let c(k) = k**3 + 15*k**2 + 5. Let v be c(-15). Solve -4*j = -v*w - h, 2*w - w + a*j + 11 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3966 divided by -6.\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/m**(12\/5)*m*m))\/(m\/m**(-8)))**(-32)*(m**(-15)\/m*m**(1\/6))**(10\/3) assuming m is positive.\nAnswer: m**(11449\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 218 - 2388\/11. What is the third biggest value in d, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 11*d**2 - 3*d + 24. Calculate f(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 11*k - 21. Let s be j(9). Let c = s + -29. Calculate the common denominator of c and 64\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -465285172 divided by -484.\nAnswer: 961333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 257803040 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -235*b**2 + 1622*b - 6. Let d(s) = -469*s**2 + 3296*s - 13. Let m(h) = -6*d(h) + 13*w(h). What is the second derivative of m(u) wrt u?\nAnswer: -482","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vgudgjd. Give prob of sequence djvd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 6*j + 15. Suppose 3*g + 18 = -23*p + 20*p, 4*p + 3*g = -30. Give z(p).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 541 + 2?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 402372, 804042, 1205712, 1607382, 2009052?\n\"Answer: 401670*f + 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(833) + ((sqrt(833) - (2 + sqrt(833) + -2)) + sqrt(833))**2) + 2 + ((sqrt(17) + -1)*6 + -5*(sqrt(17) + 1))**2 + -4.\nAnswer: -2363 - 43*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/14*(696\/16 + -40). Solve -20*d + s*r - 24 = -16*d, 0 = -d + 4*r - 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 35*s - 46. Suppose f = v - 255, -s*v - f = -v - 249. Suppose -144 = -0*m - 4*m. Calculate the greatest common factor of v and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 8 = b, -4*b + 1 + 5 = -v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-6))\/(5\/20)*-6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(75) + -4 + -1 + sqrt(75))*2)**2.\nAnswer: -10000*sqrt(3) + 32500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8 + -2.6. Let g = 0.8 + l. Let q = g - 1. Which is the closest to -2\/7? (a) -0.2 (b) q (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 231.9851 seconds to microseconds.\nAnswer: 231985100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -2)*(-1)\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1096\/(-1644) + 38\/132*122. Which is smaller: r or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211.467 rounded to 1 decimal place?\nAnswer: -211.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 758939316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 95, 4, 3, -1.\nAnswer: -1, 1, 3, 4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 15) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -46.74, -17\/7, -0.4?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rra when three letters picked without replacement from rrcwcrcacccrc?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 777 divided by -4?\nAnswer: -777\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 + (-9 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6227 plus 0.049826?\nAnswer: -6226.950174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/9)\/(2\/6). Suppose -12 - w = -3*r + 4*z, -z + 4 = 2*r. Let d be 2 - -1 - (r + -2). Solve j = -d*j + 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 216 - 305. Let d = h + 103. Solve d = -2*w + 6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(62 + -64). Which is smaller: -2745 or k?\nAnswer: -2745","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**3 + 11*u**2 - 81*u + 22. Let j be z(-7). Solve -56*h = -j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9994?\nAnswer: 2, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a**3*h + a**3 - 8*a**2*h**2 + 37*a**2*h + 79*a*h**2 + 7*a + 3 wrt a?\nAnswer: 12*a*h + 6*a - 16*h**2 + 74*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1421 + -21329\/15. Let w = x - -4\/15. Which is the smallest value? (a) 1\/4 (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/10)\/(318\/1060)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8064.6952 times -25\nAnswer: -201617.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.013769 - 1360.56.\nAnswer: -1360.546231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2. Let q(r) = -17*r**2 - 2. Let m(v) = -34*v**2 - 5. Let t(a) = -2*m(a) + 5*q(a). Give o(t(s)).\nAnswer: 289*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -198708523?\nAnswer: -3\/198708523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 39684*w**2 - 79354*w - 119040.\nAnswer: -2*(w - 19840)*(w - 3)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/46, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 5:08 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 15*q + 18. What is h(-17)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 44*m**2 + m. Let t be -1 + (-4)\/(-1 + 0). Let o be b(t). What is the greatest common divisor of 42 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 2743209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26\/3*x**2 - 44\/3*x - 1\/3*x**5 + 40\/3 + 23\/3*x**3 + 8\/3*x**4 = 0 for x.\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -355.503, 2, 3?\nAnswer: -355.503","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1707369*p**2 + 672984*p**2 - 68878*p**2 + 1306778*p**2 - 345944*p**2.\nAnswer: 3272309*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18\/5 of a millennium?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-15))\/(11\/(110\/(-4)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/4 + 0\/(-22). What is the biggest value in z, 6, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306907229 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ixv when three letters picked without replacement from iadxgiav?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Suppose 72 = m*x - 105. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -208 + 232. Calculate the least common multiple of q and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1*sqrt(143)*3)\/((sqrt(165)\/sqrt(3))\/sqrt(5)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -14, 0.5, -1\/10 in ascending order.\nAnswer: -14, -2\/11, -1\/10, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + 13. Suppose -58 = -5*o - 2*c, k = 5*o + c - 32. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) -0.5 (c) 1\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 5\/4, 1.4, 1\/10, -0.05 in decreasing order.\nAnswer: 1.4, 5\/4, 1\/10, -0.05, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1353\/197 + 3618227\/528945. Let t = j + -7\/179. Find the common denominator of t and 2\/2*(-46)\/36.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrrrrrrxxrrxrrxrxrx. Give prob of picking 2 x and 1 r.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(7020\/(-18))*4\/1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**9\/t)\/t)\/t**(-6\/7) assuming t is positive.\nAnswer: t**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -107aa + 3?\nAnswer: -107a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17299*o**3 - 10959*o**2 wrt o.\nAnswer: -103794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1373.6 + 1509. Let s = 145 - y. Sort -4, 3\/2, s in increasing order.\nAnswer: -4, 3\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 15 = -4*n. Solve n*i = 2*i + 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + i**2 + 18*i + 12. What is the remainder when 5567 is divided by w(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 13. Let f be (-8850)\/531*(-30)\/2. Calculate the greatest common factor of q and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 274 and 3151.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + c**2 - 111*c - 1. What is u(9)?\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 787092246?\nAnswer: 2, 3, 23, 863, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002653 rounded to 4 dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41945 is divided by 49.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 331385 a multiple of 948?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from vwuvwvvvuwduu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76752774001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 5*d + 5. Let p be y(3). Is 2\/9 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 33, -4, 2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27522 - -4403541\/160. What is the common denominator of x and 87\/64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -129 - -205. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -864 = -5*u + 3*r, -5*u + 373 = 3*r - 443. Calculate the greatest common factor of u and 8694.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 5:10 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 11 = 3*t - 6*t, -5*s + 9 = -t. Let j = 2 + t. Put j, -4, -3 in descending order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 12, 3, 5, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 520, 1122, 1716, 2302, 2880?\nAnswer: 3450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128729916 divided by 906.\nAnswer: 142086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 (base 13) in base 5?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 98059 + -913223465\/9313. Let c = 18324\/1406263 + l. Let b = -175\/1812 + c. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146215\/17 + 8598. Let x = 825 - 1721\/2. What is the common denominator of y and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/944 and -4 + (-219)\/(-48) - (-29 - -26).\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -1\/4 (c) -0.1 (d) -1\/2 (e) -129 (f) -0.06 (g) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*w**3 - 26*w**3 - 27*w**3 + 70*w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-36) + 9 + -12)*110\/132?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 0 + t + 0*t + 2. Let r = 465 - 458. Determine q(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.058 in -14, -1\/2, 1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -3. Let w = b - 7. Suppose -2*k = -w, -2*h + k + 134 = 2*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/18)\/4*(-108)\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 396563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4) + (-14)\/(-4). Let o be -5*6\/(-75) + (-2)\/5. Solve w*j - j = o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 0*r**2 + 12*r + 3\/8*r**4 + 0*r**3 + 1\/60*r**6 + 5 + 3\/20*r**5. Let a(p) be the first derivative of g(p). Solve a(j) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 54 = 19. Let r be (3\/6 - i\/2) + 3. Put 5, -2, r in descending order.\nAnswer: 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 0, -3, -4 in descending order.\nAnswer: 0, -3, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -82940*q**3 - 77*q**2 + 77*q - 462. Let y(u) = -5351*u**3 - 5*u**2 + 5*u - 30. Determine 5*x(g) - 77*y(g).\nAnswer: -2673*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 6*h**2 + 3. Let q be u(6). Let n be 4\/16 + 0 + 0. Sort n, -1\/10, q in descending order.\nAnswer: q, n, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/3 - 19264\/1032.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*2 - 3*sqrt(112).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-411)\/1918)\/((-4503)\/2765)?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m - 44. Let v(y) = y + 1. Let h be v(2). Solve h*f - 4*q - 15 = -2*f, -4*q = 2*f + m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -v**6\/120 + 3*v**5\/20 - 5*v**4\/6 - v**3 - 119*v**2. Let d be r(6). Which is bigger: d or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -173, -242, -301, -350, -389, -418?\nAnswer: -437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**0))**31)**(-2\/17) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 0*w**2 - 1\/80*w**5 + 0 + 8*w + 1\/48*w**4 + 0*w**3. Suppose y(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 0.23, -192?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/20 and 61\/17158.\nAnswer: 171580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/r**25))**(-9) assuming r is positive.\nAnswer: r**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p + 20. Calculate the lowest common multiple of 7 and m(0).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + c**2 + c - 10*c + 10*c - 5*c**2 + 1 - 2*c**2 - 1 + (3*c**2 - 2*c**2 + 0*c**2)*(0 + 2 - 1) + 26 + 23*c**2 - 26.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/5 - 65481*x + 1309668\/5.\nAnswer: -3*(x - 4)*(x + 109139)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1008)\/840*5*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2726487694 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 40 = -h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00031399 rounded to 6 decimal places?\nAnswer: -0.000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 223 by -69.\nAnswer: -223\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305, 1260, 2851, 5078, 7941, 11440?\nAnswer: 15575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 17464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2879?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*a - 4 = 0, -5*k + 3*k - a = -2. Solve -2*t + t = -k for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5035 minus 0.197?\nAnswer: 5034.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -85 (b) -3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 38. Solve -z*h + 1 - 10 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.471 rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5*57\/21)\/((5\/2)\/((-27020)\/1544))\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 6*s**2 - s - 2. Let q(c) = -c + 11. Let u be q(5). Let n be j(u). What is the units digit of 1\/(-3 - 26\/n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -134 - -190. Let t = -55 + c. Suppose -j - 5 + t = 0. Put -1, j, -5 in increasing order.\nAnswer: -5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -146*x**2. Let b(k) = -11*k. Calculate i(b(l)).\nAnswer: -17666*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.904 * -0.0187.\nAnswer: -0.3161048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15401, 15404, 15407, 15410, 15413, 15416?\n\"Answer: 3*j + 15398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9f + 8?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2735*r**3 - 657*r**3 + 1968*r**3 + 1057*r**3.\nAnswer: 5103*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -13*m. Let q(f) = -3*f + 24. Calculate q(t(c)).\nAnswer: 39*c + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*l**3 + 20*l**2 - 16*l**2 - 4*l**2.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03797 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xjiijjixjjjxjijxj. What is prob of picking 1 x, 1 i, and 2 j?\nAnswer: 144\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (1 + 8 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10347 is divided by 1283.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -14 divided by -68109382\nAnswer: 7\/34054691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 = 3. Suppose 5*j - 41 = -4*g + 124, 5*g - 25 = 0. Let t = -26 + j. Solve -l - t*u = -u + 3, -4*u + w = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/8)\/g*g*g**(-1\/29)\/g)**(-2\/15) assuming g is positive.\nAnswer: g**(51\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 51*j - 4798. Determine f(94).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*n = 2*n - 90, -2*y = 4*n - 42. Suppose 3*v = -3*z + y, -4*v - z + 10 = z. Is -2 + v + 3 - -29*1 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 5. Let v(y) = -3*y + 5. Let n(w) = 4*h(w) - 3*v(w). Give n(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (96\/21 - -1)*-18. Let k = 100 + j. Let n = -1 + 1. Does k = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7\/4, 161, -5 in ascending order.\nAnswer: -5, -7\/4, -1, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 31353.6 to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*x - 8*x + 9*x)*(-x + 3 - 3 - 4*x - 2*x + 5*x + (-3*x + 0*x + x)*(-2 + 7 - 3) - 6*x + 2*x + 3*x - 3*x + 0*x + x) as y*x + r*x**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1468 times -9?\nAnswer: 13212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2308 - 1350. Does 79 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/5, 5, -3, 3.4, 71, -4\/5 in increasing order.\nAnswer: -3, -4\/5, 14\/5, 3.4, 5, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -55111*g - 1267785. What is f(-23)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 5*k + 2100 = 3*z, -2*z - 3*k + 1400 = 0. What are the prime factors of z?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -37\/11?\nAnswer: -37\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 22 = -5*c. What is the tens digit of c\/(-12) + 269\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665773966 is divided by 411?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38289891 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 571*x**2. Let c(q) = -14*q + 21*q - 13*q + 2*q - 6*q. Give a(c(n)).\nAnswer: 57100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 7:36 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -876 divided by 876\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s - 6*s + 3*s + 0*s + 5*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1095*p - 5. Let r(a) = -544*a - 3. Determine -6*j(t) + 10*r(t).\nAnswer: 1130*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 4}. What is prob of picking 4 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 3 - 3 - (-3457 - -3520)?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5616 and 41444.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3192 and 1963536.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 + (-121 + -28 - -50).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7012501, 7012503, 7012505?\nAnswer: 7012507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130574928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**4\/24 + 2*t**3\/3 + t**2. Let z(k) be the first derivative of 3*k**2\/2 - 11*k - 1981. Give 11*m(g) + 4*z(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16812 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*k - 16 = 0, -3*a + 8 = k + 5. Suppose 6*o = o + 2*d + 2310, -910 = -a*o - 2*d. List the prime factors of o.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddddd. Give prob of sequence ddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 564775, 20 in ascending order.\nAnswer: -2, 20, 564775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of x**6\/120 + 2*x**5\/15 - 668*x**2. Determine m(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1 - 7\/(-6)) + (-22710)\/(-36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 3 = 2*i - 4*h, -2*h = 5*i + 5. Let j = 1179\/5 + -237. Which is bigger: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 4*g + 0*g + (-g + 4*g - g)*(0 + 1 + 1) + 3*g + 0*g - 5*g + 5 - 8 - 5*g + 4*g.\nAnswer: -5*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/48*2*(-1437480)\/(-16335).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(200) + 0)*6 + (sqrt(200) + sqrt(200) + -1)*-1)**2 + (1 + 2*sqrt(200) + sqrt(200) + 1)**2)*-2.\nAnswer: -10008 - 400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6 + 91\/(-156)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 11*m**2 - 8*m. Let p be l(0). Solve p*s + 9*s - 6*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x**2 - 2*x - 4. Let g be b(-3). Suppose -2*w = 26 - g. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -14*v - 7. Let t(s) = 13*s + 6. Let r = -6 - 0. Let u(k) = r*t(k) - 5*h(k). What is u(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -572*f + 284*f + 286*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30283 + -30281. Solve 10 = w*k, 3*k = -4*v + 218 - 223 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/3*-75*(-11)\/(-385)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z**3 - 7*z**2 + 10*z + 1. Let p(s) = -3*s**3 + 2*s. Calculate n(v) - 5*p(v).\nAnswer: 12*v**3 - 7*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -2 (c) -7\/6 (d) 1 (e) 28260\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 73*m**2 - 278*m - 44. What is j(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 770, 769, 768, 767?\n\"Answer: -q + 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 12 - 36 = 0. Suppose 0 = -3*y + m, -5*p + 4*y - 16 = -10*p. Solve a + p*a = -3 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/5))**(-3\/7)*v\/(v\/v**(-5))*v\/v**(1\/8)*((v**1)**33)**(-32\/3) assuming v is positive.\nAnswer: v**(-99787\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, s: 2, d: 9, r: 1}. What is prob of sequence frd?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62, -2\/15, -229, -1, -3\/7, -301?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, c: 3}. What is prob of picking 2 z?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319758 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1790916 and 1790931 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10263.459 + -10301. Let b = 36.8 + n. What is b rounded to 2 dps?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (143\/2 + 1)\/((-409)\/24 - 909321\/(-51471))?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2234056130?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*t**3 + 8\/7 - 2*t**2 + 0*t + 2\/7*t**5 + 6\/7*t**4 = 0. Calculate t.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30182, -60365, -90548?\nAnswer: -120731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 23 = -2*m, 2*v + 11 = -2*m + v. Let h = 14102 + -493656\/35. Let l = h - 3\/70. Is m equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -36. Suppose -2*z + 18 = -4*v, -5 = -z - v - g. What is the derivative of -9*s - 1 - 1 - 2 + z wrt s?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42559 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: Expand (-3*w + 5*w + 0*w)*(w - w + 3*w**2)*(-4*w - 5*w + 3*w).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/44 and -65\/4898208.\nAnswer: 53880288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -98*l - 50. Solve 0 = 5*g - h + l*h - 13, -5*h = 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 0 - ((-6)\/(-30) - 66\/5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -14. Let v(a) = a**2 - 3*a + 1. Suppose -3*t = -t - 4. Let q(j) = 2*j - 2*j**2 + j**t + 0*j. Determine f*q(z) - 2*v(z).\nAnswer: z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 193739*h**5 + 637*h**3 - 531*h - 20882?\nAnswer: 3874780*h**3 + 3822*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - i**4 + 2*i + (-1478*i**2 + 1478*i**2 - 24*i**3)*(i - 3*i + 4*i).\nAnswer: -49*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 21865*z + 174880. Calculate q(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 + -11 - (-6 + 4) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 369 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (66 - (-1 - -29)) + -14\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 7:53 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3, -14, -31, -48?\n\"Answer: -17*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.588.\nAnswer: -2.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/10 and (-5)\/3 - (-5992)\/(-8400).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40076342 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v - v)*(3*v - 6 + 0*v - 2*v)*(4 - 1 - 2).\nAnswer: -3*v**2 + 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n = 508 + 317 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 256 - 376. Let l = w + 842\/7. What is the nearest to -2 in l, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -89*p**2 + 302*p - 605. Determine l(2).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 987006578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.838334 to 2 dps.\nAnswer: 11.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -11105 and -11109 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 800*i = -37920 for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29107?\nAnswer: 13, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 226, -5 in decreasing order.\nAnswer: 226, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3467475 and 36?\nAnswer: 13869900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 5*q + 4. Suppose 5*x + 12 = 2*x. Let c be b(x). Solve 5*w + 4 = -n, c = 4*n - 2*w + 19 - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -332770691\/6055 - -54958. Calculate the common denominator of f and 20\/77.\nAnswer: 66605","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 73718 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 4 + sqrt(243)*2)**2 - -1*-2*sqrt(243)) + -1*sqrt(243) + 4 + ((-1 + sqrt(243) + sqrt(243))*-1 + sqrt(243) - sqrt(243)).\nAnswer: 171*sqrt(3) + 2208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-4))**(-25))**(2\/31) assuming c is positive.\nAnswer: c**(200\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.751 + 2.249. Which is the second smallest value? (a) 3 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -10. Let r be (2250\/x)\/((-3)\/(-9600)). Round r to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2414, -2470, -2520, -2558, -2578, -2574, -2540, -2470?\n\"Answer: m**3 - 3*m**2 - 54*m - 2358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*g = 72*g - 12, 13 = 4*x - 3*g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmd when three letters picked without replacement from {x: 7, b: 4, m: 4, c: 3, d: 1}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 237 + -174. Suppose 15 = 4*n - 5*j - w, -2*j = 4*n - 64. Suppose 3*s + u = 144, 9*u - 4*u - 15 = 0. What is the remainder when s is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 62.2206mg?\nAnswer: 62220600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h - 13. Determine t(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65082*d*u**2 + 2*d*u - 4445*d + 10*u**2 - 342 wrt u.\nAnswer: -130164*d*u + 2*d + 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**4 - d**3 + 2*d**2 + 1. Let k(c) = -17*c**4 - 3*c**3 + 50*c**2 + 38*c + 5. Let r(o) = 2*k(o) - 2*m(o). What is b in r(b) = 0?\nAnswer: -1, -1\/8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2191 + 8288 = 3*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 14 = -o. Let h = -6 - o. Solve 0 = -0*j - j + h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 883 + -5339\/6. Let q = -25\/3 - p. Suppose -5*s - 1 = -6. Sort q, -4, s in descending order.\nAnswer: s, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**2 + 4*w**2 + 0*w**2)*(1 + 2 - 1) - 2 + 2 - w**2 + (42 - 52*w - 42)*(0*w - w - 3*w).\nAnswer: 203*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 + 2 + (1 - 2 - 1)*(-3 + 5 - 3))*(-4*u**4 + 23*u**3 - 23*u**3) to m*u**4 + l*u + q*u**2 + f + d*u**3 and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*i = -5*p + 543, -4*p - 4*i + 2252 = 0. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l + 12. Let p be u(-8). Put -4, 2, p in decreasing order.\nAnswer: p, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 162095\/850 + 6\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 0.5 (b) -10398 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26.2 + 33. Let l = i - 6.7929. Round l to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 5, 0, -360?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -3. Let d be -1 - 0 - -1 - -4. Suppose -24 + d = -5*w. Solve -2*u = -3*m + 5, m + w*u + i*u = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 2*m**7\/7 + 58*m**5\/5 - 2177*m**3\/3 - 854. What is the third derivative of d(p) wrt p?\nAnswer: 240*p**3 + 1392*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 + -2. Let k be (-35)\/(-28) - (3 + -1)*3\/24. Which is the third biggest value? (a) 1\/7 (b) h (c) 0.1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 4657*v - 1408471. Give b(285).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -265 - 1352?\nAnswer: -1637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -75, -55, -3, 99, 269?\n\"Answer: 3*m**3 - 2*m**2 + 5*m - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -7*u. Let b(s) = s. Let m(j) = 7*b(j) - f(j). Let a be (3\/6)\/(2\/8). Let i(k) = -54 + 2*k**2 + 54 - 4*k**a. Determine m(i(v)).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 38718535 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 12. Let v(u) = u**3 - 6*u**2 + 2*u - 6. Give v(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = 0. Let y = b - -18. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/3 - 3229*s - 9690.\nAnswer: (s - 9690)*(s + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-4)\/(-20)*1). Solve -4*d - 2*u + 6 = 0, -d = -2*d - k*u + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*m - 173*m + 20868 = 0. Which is bigger: m or 1740?\nAnswer: 1740","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (24\/32*-1)\/(2\/(-2456)) and 27?\nAnswer: 8289","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/23340960 and -32\/135?\nAnswer: 23340960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 - (-6 - -1 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 435, 1716, 3847, 6828?\n\"Answer: 425*v**2 + 6*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 + 2. Let z(x) be the second derivative of 0*x**3 + 0 + 1\/12*x**4 - x + 1\/2*x**2. Let f be 4 + (-27)\/36 + 7\/4. Determine f*z(p) - 3*q(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d + -383?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 99*v - 2. Let m(c) = 104*c - 2. What is -4*m(f) + 5*p(f)?\nAnswer: 79*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5510*t**3 - 19*t**2 - 182444121*t wrt t?\nAnswer: 33060*t - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -2\/5 (c) -9\/4 (d) 0.56 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*c**3*t + 6*c**3 - 2*c**2*t + 2*c*t + 252*t wrt c.\nAnswer: -18*c*t + 36*c - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 47*j + 1968. Let k be w(-71). Solve 6*c + 38*c - k = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -141 - -134.3. Let v = 0.3 - -6.7. Let q = v + n. Which is smaller: 0.1 or q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23202134 (base 7) in base 16?\nAnswer: 1f0ae7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -25 - 79. Suppose 4*t = -2*u + 42, 59 = 3*u - t + 6*t. Calculate the highest common factor of q and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -72*u**2 + 12*u**3 + 1287 + 3*u**4 - 48*u**3 + 972*u + 900 + 18*u**2 = 0?\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-17))**(-28))**(12\/11) assuming q is positive.\nAnswer: q**(-6048\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -37, 35, 229, 605, 1223, 2143, 3425?\n\"Answer: 10*u**3 + u**2 - u - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*t - 481*t - 2038 = -7933 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t + 0*t)*(421 - 125 + 942 + 214 + 486).\nAnswer: -3876*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 95*q. Let x(d) = 14988*d - 21. Determine k(x(f)).\nAnswer: 1423860*f - 1995","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9697928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524695529?\nAnswer: 269, 727, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -5*s - 3*n, 9 + 1 = -5*n. Let g be (-4 + (-1922)\/s)*5. Suppose -3*b - 308 + g = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 636127896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 798*l**3 + 418*l**2 - 418. Let y(c) = -4*c**3 - c**2 + 1. What is -2*o(v) - 836*y(v)?\nAnswer: 1748*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4358681.4 rounded to the nearest one thousand?\nAnswer: -4359000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbbbbwj. Give prob of picking 4 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 - 20 = 5*c. Differentiate -b**2 + 145 - 3*b + c*b - 41 wrt b.\nAnswer: -2*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -41567115.\nAnswer: 41567115.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-63)\/(-12) - 1\/4. Let f be (-424)\/(-52) - 8 - (-2)\/26*-41. Put d, f, 2, -15 in decreasing order.\nAnswer: d, 2, f, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2827467168 to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -246*a + 3638157 = -224*a + 340775. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 0, h + 88 = -0*t + 4*t. Let n(d) = 3*d**3 - 2*d + 1. Let g be n(1). Calculate the highest common factor of g and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7 - 4 + 4 - 4 + 2*w. Suppose -26 = -2*a + 2*z, 2*z = 7*z + 15. List the prime factors of f(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 - -397.6482?\nAnswer: 396.2482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 3*f + 81. Calculate the highest common divisor of 3 and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -63*i**2 + 22*i + 33. Let w(j) = j**2 - 15*j + 17. Let v be w(15). Let m be c(v). What is m rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 1026*x**3 + 1964*x**3 - 936*x**3.\nAnswer: 2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f - 10. Calculate u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.09 and -2712208343992?\nAnswer: 2712208343992.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/6*(92\/16 - 5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4890658 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001057762 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*t + 13*t. Let l = -9\/71 + 438\/1775. Is l greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-13)\/(-2))\/((-3)\/(-7 + 1)). Suppose 5*c + 4*w = 28, 16*c = h*c - 4*w + 20. Solve 3*n - c = f - 3, -3*n + 11 = f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-18))\/((-7)\/14). Is d < 2\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 60*s**5 - s + 4 wrt s?\nAnswer: 1200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -797, -792, -787, -782, -777?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 7)*(-100 + 100 + 15*o) - o + 3*o - 4*o.\nAnswer: 103*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1678)\/12 + (-6)\/36. Let p be h\/(-16) - 2\/(-8). Find the first derivative of -1 - 2 + 1 - p + 2*i**4 wrt i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98357?\nAnswer: 7, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2 - 3176*g + 630436 = 0.\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 5*h + 51 = -14*a, 230*h - 228*h = -5*a - 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1051 - 111 = -7*g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3574.43 - 3540. Let w = k - 34. Round w to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 n, and 1 x when three letters picked without replacement from xuttuxnuttun.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-8)*32\/(-12))\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.41 - 0.41. Let n = 0.8 + -1.3. Which is the nearest to o? (a) n (b) 1\/2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = -3*h. Let m(g) = -2*g**3 + 2*g**2 - g + 3. Let q = 645 + -640. Let d(u) = -3*u**3 + 4*u**2 - u + 5. Calculate h*d(j) + q*m(j).\nAnswer: -j**3 - 2*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392024095?\nAnswer: 5, 78404819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 11)*(-5)\/8. Let u(z) = z**2 - 8*z + 3. What is u(l)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)\/sqrt(2))\/sqrt(6)*3 + -5)**2.\nAnswer: -30*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/14)*f**13)**(-40) assuming f is positive.\nAnswer: f**(-3580\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1215*y + 50400 = -3060 for y.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -2\/7 (c) -587720 (d) -3 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.5 + 0. Let u = -2 - -29. Let p be 1 - ((-3)\/u + 1). Which is the nearest to 0.1? (a) -4\/5 (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3 - 1. Let n = 8 + -11. Let h = -0.132 - -0.332. What is the second biggest value in n, h, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 1055408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 3*j - 59. Suppose 3*w - 369 = -3*n, -5*w - j = -n - 666. Suppose 7*p - 517 = -w. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438235309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-14))\/(4 + -16 + 11).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/7 + (0 - (-4)\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32047348476977 - -0.07?\nAnswer: -0.25047348476977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 719 divide 39034510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5651*h = 5685*h - 11307*h + 1218 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 2 - 2 + 7*g**2 to z + p*g**2 + b*g and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*y - 18*y - 15*y - 82*y**2 + 58*y as o + r*y + t*y**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**5\/30 - z**4\/6 + z**3\/2 + z. Let p(b) be the second derivative of o(b). Find the first derivative of p(a) wrt a.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*b - 63*b**2 - 348*b.\nAnswer: -63*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 6:21 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -65575317?\nAnswer: 1\/65575317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67415207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -558890b - 4?\nAnswer: -558890f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 <= 651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1732941*d + n = 1732944*d - 5, -n - 19 = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2b3 (base 16) to base 9\nAnswer: -847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 120, 727, 1736, 3147, 4960?\n\"Answer: 201*m**2 + 4*m - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19.85475 + -0.14525. Which is the third biggest value? (a) h (b) -5 (c) 2\/13 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q. Let o(x) = x - 1. Let a(k) = 4*o(k) + y(k). Let z be a(-6). Suppose -3*v + z*r - 2 = -4*v, r = -2*v + 7. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/3 (b) -0.2 (c) 0.1 (d) 0.011\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 4692 (c) -6\/13 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -135?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 12, -8\/231?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 7*z**2 - 4*z + 4. Let s(l) = l**3 + 8*l**2 + 5*l - 5. Let b(r) = -5*i(r) - 4*s(r). Factor b(f).\nAnswer: f**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 14*k**3 + 8*k - 5*k.\nAnswer: 14*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2476, -4373, -6270, -8167, -10064, -11961?\n\"Answer: -1897*l - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -816, -4203, -9862, -17805, -28044, -40591?\nAnswer: -55458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412913800 to the power of 1\/3, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2338261 weeks in minutes?\nAnswer: 2356.967088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3012759871 to the nearest integer?\nAnswer: 54889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(2) + sqrt(32)))\/(-3*sqrt(405) - sqrt(5)) + 1.\nAnswer: -sqrt(11)\/140 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 551, 1204, 1841, 2468, 3091, 3716, 4349, 4996?\n\"Answer: b**3 - 14*b**2 + 688*b - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18 + -54?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -78, 0.2, 2, 1501, 7, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 28 = 77*l - 75*l, 0 = 5*i - 5*l - 35. Solve -i*m + 64 = -34 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -347256378 and 0.4?\nAnswer: -138902551.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 9:43 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*a**2 + 4 + 324*a**2 - 161*a**2.\nAnswer: a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**4 + 1255*m**3 - 28965*m**2 + 160745*m + 190970 = 0.\nAnswer: -1, 13, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33, 114, 235, 384, 549?\n\"Answer: -2*z**3 + 32*z**2 - z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**4\/4 + 8*k**3\/3 + k**2\/2 - 9*k - 19. What is the tens digit of b(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 531 + -531. Let z(w) be the third derivative of 0 + 1\/90*w**5 + 7\/36*w**4 + 0*w + s*w**3 - 10*w**2. Factor z(j).\nAnswer: 2*j*(j + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10\/13 in -1, 2.3, -26, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -59153, -53888, -45105, -32798, -16961?\n\"Answer: w**3 + 1753*w**2 - w - 60906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -950, -2616, -5408, -9332, -14394?\nAnswer: -20600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3612 divide 489375201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -7, 4, -106, 15 in decreasing order.\nAnswer: 15, 4, -1, -4, -7, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -23 (b) -281 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -159, -359, -639, -999, -1439, -1959?\nAnswer: -2559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8723? (a) -2 (b) 4 (c) 5\/4 (d) 0.3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**2 + 2*l**2 - 2*l**2)*(-177 + 177 + 86*l + (-2*l + 2*l + l)*(-1 - 3 + 0)) to the form h*l + i*l**3 + q + w*l**2 and give i.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 6*q = q, -10*q = w - 33*q + 9*q + 15*q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 125806193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 697906466 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 576246134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14455)\/(-826)*4\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 10 = 4*y + 8, 3*r + 5*y = 2. Sort 5, 0, r, -60.\nAnswer: -60, r, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4115233 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-476256)\/(-30) - (-18)\/15*6\/9 a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 14461 and 14463 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*x - x - 10*x - 39*x**2 + 25*x to the form m + y*x**2 + c*x and give y.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1857, -2.15, -11\/3?\nAnswer: -1857","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 206, 203, 198, 191, 182, 171, 158?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/593043 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4573545 (base 10) to base 9.\nAnswer: 8540646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -432*p - 5703 = -435*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134718681 by -3.\nAnswer: -44906227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -12) + (0 - (-4 + 3 + -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1756*y**3 - 2*y**2 - 250*y + 252. Determine s(1).\nAnswer: -1756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46\/(-391))\/(9\/(-612)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 13 = -2*p, -168*p + 164*p = -4*c + 24 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(1872))**2.\nAnswer: -9380 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24314 - 14242?\nAnswer: -44111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1)*d**(-6)*d**(-6)*d\/d**(-2)*(d**(1\/4)*(d*(d*d*d*d\/d**(-1))\/d)\/d)\/((d*d*d**5)\/(d\/d**(2\/7))) assuming d is positive.\nAnswer: d**(-337\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30340 and 5.\nAnswer: 30340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uupp when four letters picked without replacement from uuppuupuppupupuuupp.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17248 and 385.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.75 take away -0.1?\nAnswer: -50.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 5741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (-240)\/(-17) + 22\/(-187).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(77) + (sqrt(77)*1 + sqrt(77))*4)\/((sqrt(4752) - (sqrt(4752) - -2*sqrt(4752)))\/(((sqrt(3) - sqrt(12)\/sqrt(4)) + sqrt(3))*4)).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 586 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00051232 to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, f: 2, u: 2}. Give prob of sequence ffuu.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**3 + 83*r**2 + 411*r + 91. What is m(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19020.27 hours in days?\nAnswer: 792.51125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 413 - 21. Is 16 a factor of (1\/((-21)\/v))\/(2\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120716 and 2984.\nAnswer: 90054136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 14165491 and -0.082.\nAnswer: 14165490.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, -18\/19, -1\/5, -3\/5 in ascending order.\nAnswer: -18\/19, -3\/5, -1\/5, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7608426, -7608366, -7608306, -7608246, -7608186?\n\"Answer: 60*h - 7608486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -3*l**5\/5 + 15*l**4\/4 - 9*l**3 + 21*l**2\/2 - 6*l + 13. Factor q(s).\nAnswer: -3*(s - 2)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - h - 6 = -0*h, -2 = -3*g + 2*h. Suppose g*a = 4*a + 48. Let r be (4\/48)\/(9\/a). Is 1 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 64*i**2 + 4*i + 83. Let k(q) = -257*q**2 - 15*q - 311. Let u(j) = 4*k(j) + 15*n(j). Determine u(-1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(-4785)*-200)\/(4\/3)\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 70483014*t**2. Let x(j) = 2*j. What is x(g(l))?\nAnswer: 140966028*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28384*v**2 + 6*v**3 - 73*v**3 + 7*v - 28389*v**2 wrt v.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and -6722559622517?\nAnswer: 6722559622517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12031 (base 4) to base 2.\nAnswer: 110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*o - 20 - 1, 2*c - 58 = -4*o. Let l(r) = -r**2 + 2*r + 19. Calculate the remainder when c is divided by l(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23453*j**3*t*v - 2*j**2*t*v - 53*j**2*v + 10*j*t*v + j*t + 62376*j + 2 wrt j.\nAnswer: -140718*j*t*v - 4*t*v - 106*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*o - 2207*o + 23809 = 1439*o - 93496 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0276993085*0.2\nAnswer: 0.0055398617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r - 4*r + 0*r)*(-2*r - 2*r - 2*r) - 8*r**2 + 35*r - 35*r + 2*r - r**2 - 2*r as y*r + q + l*r**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/4 + (-205)\/164. Sort 3, 18, w.\nAnswer: w, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.38 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8715 is divided by 792.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 32.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5483579 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 2 (c) -0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 8*p**2 + 60 + 32*p + 11*p**2 + 20 - 23*p**2 = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 62*n**2 - 133*n - 138. Let y be i(-64). Suppose b - 3*x = 4*b - 27, -5*b - 3*x + 55 = 0. Calculate the highest common divisor of b and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 35*t**6\/6 - 5*t**4\/4 - 93*t**2\/2 - t + 598. What is the second derivative of s(y) wrt y?\nAnswer: 700*y**3 - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + m = 303, 3*j + 5*m = -183 + 648. Let s be j\/375 + (-2)\/5. Solve -4*h = 2*l - s*l - 6, -h = -5*l + 15 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 3:29 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24*22\/(-44) + 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = b - x, 1023*x - 1018*x - 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*s - 23 - 17. Suppose -5*v + 6 + 4 = 0. Let q = 3 - v. Sort 6, q, s in ascending order.\nAnswer: q, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 26 = -10*x + 11*x, 0 = -4*y - 5*x - 18 - 228 + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - 8*d**2 + 0*d**2 - 10*d**2 as v + w*d**2 + z*d and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.23 - 473799204.8.\nAnswer: -473799204.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v + 5. Let y(c) = -c. Let g(h) = -5*h + 3. Let x(p) = g(p) - 3*y(p). Determine -3*f(a) + 5*x(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108\/129437 or 1?\nAnswer: 108\/129437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*o + 2 - 17, -4*r - 5*o = -21. Let n be (r\/6)\/((-15)\/9). Let k = -0.9 + 0.7. What is the biggest value in 0.5, k, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2\/2 - 5103*s\/2 + 12745 = 0. What is s?\nAnswer: 5, 5098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (141\/235)\/(((-78)\/585)\/((-52)\/(-6)))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6640*r**2 + 60*r - 26*r - 35*r.\nAnswer: 6640*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35169, 56869, 78569, 100269?\nAnswer: 121969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 18*q**2 + 27*q + 20. Let p = -113 - -114. Let u be (p + 37)*(1*-2)\/(-4). What are the prime factors of f(u)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/1*(-3806)\/4844.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - 9) + -38 + -9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4327 = 4583. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 11 + 12 + 41 + 21*r**2 as j + c*r**2 + n*r and give j.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 - 120. Calculate the remainder when 37 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(245))*1 - (-1*sqrt(1000) - sqrt(1000))\/(-1*(2*sqrt(2) + sqrt(2))).\nAnswer: -146*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 10, -2, 20, 162 in decreasing order.\nAnswer: 162, 20, 10, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 5*f + 3*q + 5, -5*f - 56 = -4*q. Let c = f - -208. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160145000 rounded to the nearest one million?\nAnswer: -160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9621 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*p + 3418, 0 = 2*p + 2*c - 1769 + 57. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-156)\/247*35 - (-22)\/(-209)*-1\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4485 + 4285. Sort -1\/4, 2\/7, u.\nAnswer: u, -1\/4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 583?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -6*r**2 + 5*r + 5. Let d(l) = l**2 - l - 1. Let m = 226 - 227. Give m*z(h) - 5*d(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/2)\/(10\/20). Suppose w - 463293 - 346709 = 5*p, -t*w + 162010 = -p. Round p to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/14 - 6*z**3\/7 - 18*z**2\/7 + 1236. Find n such that g(n) = 0.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 11116 = 6*d - 2*d, -5*i - 20 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8407?\nAnswer: 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j = -2*q - 19*j - 5, -5*q = -4*j - 13 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -9. Suppose 0 = 3*a + f*j + 1, a - 2*j + 19 = -4*a. Let x(g) = -g**3 - 5*g**2 - 4*g. Determine x(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3233 and 244.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -119659 + (-4 - -8)\/(-1). Let h = q - -80624. Is (-6)\/(-21) + h\/(-49) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (882\/56 - 9)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q**2*r**3 - 3313702*q**2*r**2 + 40*q**2*r + 6*q**2 + 2*q*r - 3*q + 71*r - 2 wrt r.\nAnswer: -24*q**2*r - 6627404*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z**2 - 6*z - 5. Let l be j(5). Suppose -5*t + 35 = -l. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1345, -5357, -12051, -21433, -33509?\n\"Answer: -s**3 - 1335*s**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 6 = 3*s + d, -4*d + 12 = 0. Does 37 divide -7*s + -45 + 681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 5*b**2 + 3*b - 5. Let s be a(5). Let i be 6\/s - 81\/(-15). Calculate the highest common factor of i and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5181969 is divided by 1727311?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqnqnnnnynnqnnn. Give prob of sequence qynq.\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 101100011011001111 (base 2) to base 6\nAnswer: 3522235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7*v - 2*t + 2, v + 4*t = -17. Let m(j) = -2*j**2 - 2*j**2 - 2*j + 2*j**2 - 4*j**v. Let u(z) = 9*z**3 + 5*z**2 + 5*z. What is -5*m(c) - 2*u(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17327 - 12367. Does 40 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h**3 - 68*h**2 - 67*h - 362. Determine f(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 5*z + 5 - 12*z - 5. Let o(d) = -d. Give v(o(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u - 3. Let k(x) = 3*x - 1. Let n(v) = 5*k(v) - 3*z(v). Let o be n(4). Let b = o + 25. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 6. Let o be x(4). Let j = -11 + 15. Suppose j*f + 20 = 4*h, -4*h + 20 + 0 = 4*f. Solve o*t - t - 20 = -4*n, 4*n - 16 = f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -637427 (base 11) to base 8.\nAnswer: -3710233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 6:11 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(272)) + 5 + (-1*sqrt(17)*-1)**2.\nAnswer: -3*sqrt(17) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/7154 and 29\/16590?\nAnswer: 8477490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -443?\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*f - 43*f**3 + 136*f + 40*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -24*y + 79*y - 32*y - 22*y. Let r(i) = 3786*i**2. Calculate w(r(b)).\nAnswer: 3786*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b - 9. Let q(w) = -9*w + 17. Let f(a) = -4*q(a) - 7*s(a). Let i = 100 + -97. Is f(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16419216 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*f + 8*j, 17*j - 19*j + 12 = -2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1806 times 93\nAnswer: 16.7958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7704\/(-13910) + (2\/13 - 0). What is the fourth smallest value in b, 225, 4, -0.3?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 29.901. Let v = i - -0.101. What is the nearest to 0.1 in -0.4, -3\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 5768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 12:19 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 31 = 35. Suppose -o - 6 = 4*t, -o - p*t = -8*t - 10. Solve 4*s - 5*s - 22 = 5*n, -o*s - 24 = 5*n for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 310 and 1670?\nAnswer: 51770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36768 is divided by 18370.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*((-2)\/(-3) - 0). Let a(s) = s - 4*s**2 + 2*s**2 + 3*s**f + s. Let l(w) be the third derivative of -w**5\/60 - w**4\/24 - w**2. What is a(u) + 2*l(u)?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 4331?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 8074.\nAnswer: -32296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 8*r**2 - 26*r + 62. Let i be c(10). Let q(y) = -28*y**2 - 38*y**i - 34*y**2 + 133*y**2. Let x(h) = h. Give q(x(w)).\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/3*(-3)\/(-2). Let v(h) = 2 - h - j. Suppose 9 = -3*p - 0. What is v(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 354*o - 356*o + 5*a - 30, a + 21 = -5*o. Let j = 7 - 5. Let d = 181 + -902\/5. What is the nearest to 2 in d, j, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*n + 2*i = 260*n + 13, 3*n - 17 = 2*i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27506 and 0.5.\nAnswer: 27506.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4363, 8728, 13093?\n\"Answer: 4365*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010 (base 2) to base 6.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.40458ml to litres.\nAnswer: 0.05740458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 u when two letters picked without replacement from uwhwhwhwwhuwv.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 13*b - 3*b**2 - 3*b**2 + 23 + 5*b**2. What are the prime factors of c(12)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193960651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 5 - 0) + 4 - 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + u + 29 - 66 = 0, -5 = u. Let i be (0 + h)*(-5)\/5. Calculate the highest common factor of 35 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 89.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.856 times -1.7\nAnswer: 1.4552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.2 from -910.\nAnswer: -911.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*p - 33016, 5*m - 19788 = -3*p + 2*m. What is the greatest common divisor of p and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - 1 - 14\/(-4). Let r be 2\/(-186)*6\/7. Let m = r + 874\/651. Which is the second smallest value? (a) m (b) -0.2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/(-2*sqrt(432)) + sqrt(891) + 1 + -2*sqrt(891) + -4 + 2*sqrt(176) + sqrt(110)\/(sqrt(40)\/sqrt(4)*4).\nAnswer: -3 - 19*sqrt(11)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 1, k: 2, h: 2, j: 8, s: 1}. Give prob of picking 2 h and 1 s.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1148636897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 1.1 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 450?\nAnswer: -1800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 7*b**2 + 2*b - 9. Suppose -v = 13 - 5. Does 11 divide p(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-1 - (0 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 + -173. Suppose 0 = -7*s - q*s + 68. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2592)*2 - -6*sqrt(2592)*2)\/(1*(sqrt(6) + sqrt(384)*4)*2).\nAnswer: 48*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 2\/9, 2, -1, 174, -11 in descending order.\nAnswer: 174, 2, 2\/9, -2\/9, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**5 - 2*v**5 + 2*v**5)*(-2 + 2 + 2)*(-3 + 3 + 2).\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 > 130\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l**2 + 11*l - 11*l)*(-1 + 1 - 2*l - 2*l + 5*l - 2*l - 4*l + 5*l - 2*l + (-2 + 0 + 0)*(0*l + 2*l + 0*l) + 107 - 107 + 6*l + 5*l + 1 - 1).\nAnswer: 50*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/14, -5 in descending order.\nAnswer: -1\/14, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 8, k: 1, t: 2, u: 2}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 26 - (3 + -43 + 36)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.90324t in kilograms?\nAnswer: 39903.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -0.07, -2\/7 in descending order.\nAnswer: 4, -0.07, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17664 and 276.\nAnswer: 17664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*r - 6955 = -8535 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*o = -96*o + 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*r - 47*r = -114*r + 150. Solve -16*a + 11*a = -5*x + 30, x + 3*a + r = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -390*h**3 + 784*h**3 - 210 + 210*h**2 - 389*h**3 - 5*h = 0. What is h?\nAnswer: -42, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a**2 - 41*a + 67. Calculate i(-10).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196644.4ml to litres.\nAnswer: 196.6444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40907585 to the power of 1\/3, to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 45 = 5*x - 9, 0 = 5*r + 5*x + 45. Factor 0 + 3\/4*z + 1\/4*z**r.\nAnswer: z*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 2)*(a - a + 3*a)*(2 - 2 + 2).\nAnswer: -12*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q - 2592. Let w(j) = 7874*j. What is w(d(a))?\nAnswer: -31496*a - 20409408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5 + 215360\/43070). Let q = -2458 - w. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 - 103. Let a be 5*(-65)\/b - (-4)\/(-3). Solve 0 = -a*s - 2*n + 10, 2*s + 3*n + 0 = 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s + 42*s - 14 = 0. What is the greatest common divisor of s and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 1:36 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 3*f**2 + 4*f + 1. Let l be z(4). Suppose 2 = -i + l. What is the remainder when (2 - i)\/((-3)\/(-15)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 7*u**2 + 3*u - 6*u**2)*(u + 5*u - u).\nAnswer: 5*u**3 + 30*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (91\/21)\/((-1)\/(-27)). Calculate the greatest common factor of x and 78.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29601 - 118399\/4. Find y such that -5\/4*y + 15\/2*y**2 - 15\/2 + r*y**3 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*o - k + 52, -o - 3*k + 28 = 0. What is the smallest common multiple of o and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r - 15*r**4 - 2*r**2 + 16*r**4 + 0 + 2 to the form y*r**4 + w*r + s + f*r**3 + o*r**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8193.6 rounded to the nearest 100?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1657 + -2.75.\nAnswer: -2.9157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 26 - 7 + 0.\nAnswer: 2*y**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Let x(s) = 7*s - 9 + 0*s**g - 2*s**2 + 9*s**2 - 3*s**3. Let c(l) = l**3 - 3*l**2 - 3*l + 4. What is 7*c(h) + 3*x(h)?\nAnswer: -2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, c: 3, t: 1}. Give prob of sequence scs.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**4\/7 - 9710*p**3\/7 - 273342*p**2\/7 - 517546*p\/7 - 253916\/7 = 0 for p.\nAnswer: -26, -1, 4883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 3*u - 3*u + 0*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 14*p = -0*p. Let j = 4 + -8. Which is the third biggest value? (a) j (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -384*d - 15360. Give t(-40).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x. Let o be 2*1\/4*2. Let r be z(o). Suppose 9 = 2*q - r. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*w + 51, -w + 0*g + 23 = -g. What is the remainder when 50 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33.2 + -33.20149. Round s to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 3:39 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29 from 0.039263159227.\nAnswer: 29.039263159227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6418 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 + -1 + -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 times 95?\nAnswer: 2185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 196*j**3 + 5504*j**2 - 33660*j + 28350.\nAnswer: 2*(j - 45)**2*(j - 7)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32848120, -32848122, -32848124, -32848126, -32848128, -32848130?\nAnswer: -32848132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 + 150\/42)\/((-29)\/(-203)). Put 0.5, -2\/17, 18\/13, k in increasing order.\nAnswer: k, -2\/17, 0.5, 18\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 229*p**4 + p**2\/2 - 4069*p - 3972. What is the first derivative of y(l) wrt l?\nAnswer: 2748*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeee. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -0.0766 (b) -0.1 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*d = -100, 44 = 3*v - 3*d - 52. Solve -q + 4 = 0, -v*q + 33*q - 15 = 5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1311 by -64.\nAnswer: -1311\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.9 and -84961821.73?\nAnswer: 84961820.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 - 482 = -4*t + a - 219, -t - 2 = a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-189)\/(-2)*11*(-196)\/(-3773).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6 = 2*q + 2, 0 = r + 5. Let p = 51 + -47. Calculate the greatest common divisor of q and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102021 (base 3) to base 8\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o - 272 = 13*o - 21*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3085088 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*a - 1027 + 3344 = -10675. What is the greatest common factor of a and 1073?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 0.5 (c) 1 (d) -1830 (e) -0.01 (f) -3 (g) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-6)\/(-8)*4. Let s = 11 - t. Suppose 3*o - 242 = -5*w, -5*o + 0*o + s*w + 350 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 241 + -106. Suppose 0 = 2*n, -5*o + 2*n + j = 4*n. What is the remainder when 52 is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0625 minus 198355565122?\nAnswer: -198355565121.9375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85772242 to the nearest integer?\nAnswer: 9261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379442 is divided by 2084.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(15)\/(sqrt(15)\/sqrt(27) + sqrt(5)) + -4*(1 + (sqrt(243) - (sqrt(243) + -2)) + sqrt(243)))*-5)**2.\nAnswer: 22050*sqrt(3) + 1678275\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 6 = 5*b + 18, 4*b + 3*y + 14 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3890 + 4231473*h - 3890 - 4231472*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4568*a - 5*f = -4569*a + 5, -3*a - 5*f = 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1*1\/(-2)). Let t be (-2)\/4*(-4 - 2). Suppose -7*n + 4*i = -3*n + 24, 2*i = -3*n - 8. Sort n, k, t in increasing order.\nAnswer: n, k, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dg when two letters picked without replacement from {g: 1, d: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + h - 1. Let r be d(-2). What is the units digit of 49\/7 + -1*r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2 + 1)*(16306 + 41481 + 26585 + 18602 - 3903)*(-3*k + k**3 + 3*k) in the form z*k + u + c*k**2 + l*k**3 and give l.\nAnswer: -198142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58423 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(7 - 26341\/3766)?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1536 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/2))**(-2\/187)\/(i*i*i\/(i*i*i\/(i*i**1)*i)*i*i*i)**27 assuming i is positive.\nAnswer: i**(-20197\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 - (-4)\/(-8)*0. Calculate the lowest common multiple of 178 and ((-66)\/(36\/p))\/1.\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80864499 a multiple of 1073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/14 and 73\/476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 c when four letters picked without replacement from {c: 11, f: 5}.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 84403.86 litres in millilitres?\nAnswer: 84403860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*m + m. Suppose 0 = -12*n - 13 - 11. Let s(u) = -2*u**2 - 6*u + 1. Let x be s(n). Solve x*r - r = m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/297 and 41\/71508657.\nAnswer: 643577913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 155 and 66247?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -12\/5*n**2 + 3\/5*n**4 - 6\/5*n**3 + 24\/5*n + 0 = 0. Calculate n.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81245891 is divided by 4814.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, -0.8, 0.2, 1\/70, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 73*r**2 + 279*r + 210. Calculate c(-69).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 228166347 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 354509 + -354504. Suppose -4*b = 3*x - 26, 8 = 4*b - 12. Solve 0 = 7*r - x*r - s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1\/3 (c) 0 (d) -66 (e) 149 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 8 and 101\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179975968?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18.539 - 44658.539. Let d = u - -44658.489. Let c = d - 18.6. What is c rounded to two dps?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*7\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13169 + 13616. Calculate the remainder when k is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 20181 (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 9:35 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 2, h: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**2*n**2 + c**2*n + 24951*c**2 - 5075*c*n**2 + c*n + 236*c + 26*n**2 + n + 1 wrt n?\nAnswer: 12*c**2 - 10150*c + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (10\/8)\/1. Suppose -2*f + 4 = -p + 10, 3*p = 4*f + 16. Which is the nearest to 1? (a) -1\/3 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 438419 + -438367.99976. Let j = 51 - p. What is j rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1703179300 to the nearest one million.\nAnswer: 1703000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 144, 129, 100, 51, -24, -131, -276, -465?\n\"Answer: -w**3 - w**2 - 5*w + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18102779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 2*c - 6. What is the remainder when 4\/(-10) + (1032\/(-15))\/(-2) is divided by g(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 89 and 20481125.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1696 and 185 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14129 >= -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-6 - (-51)\/9). Which is greater: v or 4\/45?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -10. Put d, 0.5, -2 in decreasing order.\nAnswer: d, 0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89494 - 89494 - 61001*j.\nAnswer: -61001*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 6*n - 37. Suppose 4*i + 124 = 8*i + 3*w, -5*i - n*w + 160 = 0. Is 28 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 0.05, 24\/17, -3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.106 - -0.04. Let v = m + -16.246. What is v rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p - 1464 = 19*p. Let f = 539 - p. Does 38 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + 66. Let h = -401739 - -401618.9894. Let f = i + h. Round f to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -59. Which is smaller: 3\/7 or k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-246)\/(-88) + (-10)\/40 and -49\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021 + -12210122111?\nAnswer: -12210121020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/53 or -74\/7?\nAnswer: -74\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-14) + 2\/7. Let j(h) = 18*h - 6. Let i be j(1). Let t be i\/(-2 + -1) - (-1 - 2). Sort -2, t, g in decreasing order.\nAnswer: g, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*r**2 + 41*r**2 + 289*r**2 + 5*r.\nAnswer: 198*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-5))**(-31))**12 assuming u is positive.\nAnswer: u**(-2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(63)*2*-1*-1)**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a - 1. Give z(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14536 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/((-27)\/(-156))*(-11778)\/(-52)?\nAnswer: 2, 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 8*u**2 + 263*u + 1533. Calculate c(-6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1695226 divided by 7501\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -8*u + 6. Let d be v(2). Let s(n) = 33*n + 10. Let g be s(d). What is the tens digit of g\/(-14) + (-8)\/(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.047738 rounded to zero dps?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 121*q**4 + 16764*q**3 + 737163*q**2 + 10398780*q + 25004700 = 0.\nAnswer: -630\/11, -21, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 7. Let a = -21 - -24. Suppose 5*k - h - 2 = 7, -n = -a*k - 3*h. Is k > 5\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*1*-1*19\/38.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = 7*u. Let i be (u\/(-1))\/1 + 2. Suppose i*h - h = -6. Which is smaller: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 1713*h**5\/20 - 11*h**4\/24 + 127*h**3\/2 + 4*h**2 - 137*h - 2. Find the second derivative of p(f) wrt f.\nAnswer: 10278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.7 + -1.84. Let b = 0.04 + y. Which is bigger: b or -10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 29 + (-1164 - -1015).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39856.\nAnswer: 2, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of 0*k + 0*k**2 - 4\/57*k**6 + 34\/95*k**5 - 10\/19*k**4 + 8\/57*k**3 + 44. Suppose z(h) = 0. Calculate h.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 141*a + 48594 = -39*a. Which is smaller: a or -264?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 11*k**2 + 10. Let a be d(-11). Let q(p) = -2 + 10*p - p - a*p. What is q(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -6*v + 102, 4*v - 5*k + 3*k + 48 = 2*v + 94 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 2}. Give prob of sequence zd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/13? (a) 1\/5 (b) 0.07 (c) -370\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-1 - (13 - 26)) - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 3*v - 2, -4*v + 2 - 4 = -5*j. Suppose -4*f - 22 = -j*w, -4*f + 5*w - w = 24. What is the units digit of 4 + f + (-8)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*u - 16 = -63*u. Let h(k) = -3*k**3 - 5*k**2 + 2*k + 2. Let j be h(u). Solve j*w + 5*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -320423642 by -2269.\nAnswer: 141218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0 - (432\/(-270) - 2*(-1035)\/(-50))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.5, 3\/2, 732 in ascending order.\nAnswer: -1.5, 3\/2, 732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 88923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*l**2*o**3 + 700*l**2*o**2 - 15*l**2 + 2*l - 3571*o**4 wrt o?\nAnswer: -12*l**2 - 85704*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*u - 114*u + 4*u**4 - 4 + 36*u + 37*u as j*u**2 + m*u + a*u**4 + q + z*u**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1266621 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 41343581.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 41. What is the highest common divisor of m and 190?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1773505*h - 1773456*h + 3546963*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 1. Let y = 10 - 7. What is r(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 + 17. Let j = 14 + h. What is the greatest common divisor of 72 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2. Let z(c) = 265742*c**2. Give z(d(o)).\nAnswer: 2391678*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {h: 4, y: 13, t: 3}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -769 + 1231. What is the greatest common factor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - 3. Let m = -0.036 + 0.1318. Let t = x - m. What is t rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -8. Let r(g) = 6*g - g**2 + 3*g - 2120 + 2*g - 5*g + 2115. Let n be r(u). Which is the smallest value? (a) n (b) -0.2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75 - (113 - 210) - 78?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3631067 + 0*s**2 + 4*s**2 + 3630959 - 5*s in the form j + m*s + u*s**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 30\/(-5) + 199. Let w = -169 + d. Round w to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/2 - (-2760)\/675. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26900.4 - -26830.7244. Let r = 69.6 + p. Round r to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 u, and 1 p when three letters picked without replacement from {k: 9, p: 2, u: 4, o: 1}?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-194)\/(-2)*(-4 + 45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j + 214. Let i be -5 - -1 - (2 - 4). Calculate the lowest common multiple of (4 - 1) + i\/2 and c(-29).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 55*n**2 + 225*n + 56. What is v(-5)?\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2063?\nAnswer: 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13c95c7 (base 13) to base 14.\nAnswer: ba1641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*1*sqrt(1728) + (sqrt(1728) + 1)**2*-3).\nAnswer: -15561 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/(-7))\/((-1)\/7). Let p = 20 - b. Suppose -10 = 5*z - 70. Solve p*n = -3*n + z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90613 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21459?\nAnswer: 3, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/130*(-18560)\/928.\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -264852.1 + -0.02.\nAnswer: -264852.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3\/4, -2\/165?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/55, 0, -14, 0.01, 0.2, 0.1, -191?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -5*g - 2*l, 5*g - 2*g + 2*l - 37 = 0. Let x(o) = 2*o - 2. Let v = 11 - 5. What is the least common multiple of g and x(v)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 10 and 0.9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.5, -422, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 k when two letters picked without replacement from lkklggslslgslkglls?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25107?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 20*q**3 - 9*q**2 + 8*q. Is m(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, v: 6}. Give prob of sequence ff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 296537808 to the power of 1\/2, to the nearest integer?\nAnswer: 17220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -20. Suppose 0 = -5*j + 29 - 4. Suppose 5*u = j*l + t - 207, 86 = 2*l - 4*u. What is the remainder when l is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 15*o - 13*o - 448103, -2240455 = -5*s + 2*o. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (400\/(-35))\/(-2) + 2\/7. Suppose -18 = -n - 16. Suppose -n*k + 39 = -3*h, 5*k - 2*h - 21 = 4*k. Solve v - p*v = -k for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7864531.\nAnswer: 167, 47093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + -8 + (81 - 84).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856249685530 + -0.1?\nAnswer: 1856249685529.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 4, -9 in decreasing order.\nAnswer: 4, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1641*v**2 + 1714*v**2 - 3355*v**2 - 2*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419465.\nAnswer: 5, 43, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 12*h - 91. Calculate m(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 553556, 2212904, 4978484, 8850296, 13828340?\n\"Answer: 553116*d**2 + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 6:16 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11114353.97642 - -11114891. Let r = f - 537. What is r rounded to three decimal places?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*-66736\nAnswer: 667360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -153*d**4 + 201*d - 3.\nAnswer: -1836*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 303 = 83. Is 22 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181970 = -3877*o + 165341 + 462484 for o.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b**3 - 56*b - 56. Suppose 155 = -d + 154. Let s(i) = i + 1. Determine d*n(g) - 56*s(g).\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3580 or -57259\/16?\nAnswer: -3580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-79)\/(-316))\/((-46)\/(-16)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2 + sqrt(1900)*5 + sqrt(1900) + 3*sqrt(1900)*3)*-3)**2.\nAnswer: 5400*sqrt(19) + 3847536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11616614 - -613?\nAnswer: 11620530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/13, 491, -3 in decreasing order.\nAnswer: 491, 10\/13, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**5 - 484*y**4 + 1492*y**3 + 484*y**2 - 1488*y = 0. What is y?\nAnswer: -124, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14132 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 12 = 2*t. Let q(a) be the first derivative of -a**2 + 0*a + 0*a**4 - 2 + 0*a**3 + 5\/6*a**t + 0*a**5. What is the second derivative of q(j) wrt j?\nAnswer: 100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*z = -2*f - 20, -3*z = -3*f - 12. Let d be f\/9 - (-8)\/3. Let k(t) = -t**3 + 4*t**2 - 3*t + 2. Let r be k(d). Solve -10 - 6 = r*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/7035 and 115\/804.\nAnswer: 28140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4796993 + -5?\nAnswer: -4796998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -49 + 5?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 82 = 2*a, a - 7 - 23 = 6*a - 15 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g = 25*k - 20*k + 21*g + 56, 22 = -2*k + 2*g for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of l**8\/10080 + l**5\/30 + 2*l**2. Let h(k) be the third derivative of d(k). Factor h(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*j**2 + 3\/4*j**3 + 0*j + 0.\nAnswer: 3*j**2*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7181 + 1181 = -10*x. What is the highest common divisor of x and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 60*s**2 + 1 - 58*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 33473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0. Solve k - 6*k = i for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*x + 244, -3*i - 5*x + 3*x = 370. What is the tens digit of (i\/(-3) - 2)\/((-2)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 776\/(-10)*5\/(-1). Suppose 3*c + c = b. Let t = -53 + c. Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -635130257 to the nearest one hundred thousand.\nAnswer: -635100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*n, 2*b - 3*n + 2279514 + 12162501 = 0. What is b rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*h + 20*h + 34. Let t = h + 25. Suppose -44 - 20 = -t*i. Calculate the remainder when 39 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00301099 to 5 decimal places.\nAnswer: -0.00301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-6))\/(-2))\/(22\/66).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -12*l + 19. What are the prime factors of v(-6)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*(x*x\/(x*x**(-2)))\/x*x*x*x**(7\/4))**(-3\/4))**(14\/11) assuming x is positive.\nAnswer: x**(-651\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l - 1. Let m be s(4). Suppose 3*v + m*a - 55 = -v, -3*v + 50 = 4*a. Calculate the remainder when 27 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(4)*-2))\/((sqrt(3) - -1*sqrt(3))*1 - sqrt(3)) + -4 + sqrt(3) + -3 + 0 + (sqrt(3) - (sqrt(3) + 2)).\nAnswer: -9 + sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.92901 + -11.985. Round p to 3 decimal places.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*w + 10*n - 9*n, -n - 13 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7444829 to the power of 1\/3, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-121*g**2 - 24*g**3 + 121*g**2 + 5*g**3 - 2*g**3 - g**3 + 0*g**3 + g**3 + 0*g**3 + (5*g - g - g)*(3*g - 3*g + g**2))*(0 + 1 + 0).\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -684, -3.\nAnswer: -684, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-5915)\/1575)*1014\/(-78)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4 (c) -1\/673\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(sqrt(243) - -1*sqrt(243)))**2 + 2*((sqrt(75) + 1 + -3 - sqrt(75))**2 + sqrt(75)).\nAnswer: 10*sqrt(3) + 314936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -130*j - 2. Let p(h) = 128*h + 2. Give -2*p(l) - 3*x(l).\nAnswer: 134*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2829956394 to two decimal places.\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 9:03 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.8 + 17. Sort y, -0.5, 5.\nAnswer: -0.5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2940)*2*4 + sqrt(2940))\/((sqrt(144) - (sqrt(144) + sqrt(144)*2))\/sqrt(12) + (1*sqrt(192) - sqrt(12))).\nAnswer: 63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-8)\/(-6)*(-814)\/(-8))\/((-6)\/(-18))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2, 14\/11?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/((sqrt(110) + 1*sqrt(110) - sqrt(110))\/sqrt(10)))\/(-3*(sqrt(4) + (-1*sqrt(4) + sqrt(4))*2)).\nAnswer: -sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1536011035 to three decimal places.\nAnswer: 0.154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -2)*2 - -3. Let x be -25*b*(-10 + 7). Suppose -4*g + 68*d + 181 = 69*d, -4 = -4*d. Calculate the highest common factor of g and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + 62. Suppose -s = -0*f + 4*f. Is f != -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31 - -4?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + sqrt(11))**2 + 4 + 4.\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -1. Let u = 3 - 2. Suppose -u - 3 = -2*o. What is the lowest common multiple of o and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -580 minus 3.12973?\nAnswer: -583.12973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -1\/3 (c) -1\/6 (d) 47 (e) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (36\/702)\/(15\/((-34740)\/(-8))). Which is smaller: 15 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2057035 and 42\/1754365.\nAnswer: 643851955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (9 + 1 + -4 + -17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 570775 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -98, -100, -112, -140?\nAnswer: -190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/24 + 142\/228. Let g = 121\/57 - j. What is the second biggest value in g, 3, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.70092 + -12.5\nAnswer: -11.79908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002241 to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-100))\/((-1719)\/176484).\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.99, -2, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841819 is divided by 84180.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 4:12 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 10*o**2 + 7*o + 136. Let p be t(-10). Solve -27*g + p = 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 + 0 + 10. Let w(h) = -2*h - 1. Let p(o) = 1. Let a(l) = 4*p(l) - w(l). Does 9 divide a(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*f, -2*l + 7 = -3*f - 3*l. Let g be 1\/(f\/(-36)*-2). Let u be (-4 - g) + 14\/(-8). Which is smaller: u or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13511 (base 6) to base 15\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 55\/(-2)*8\/(-10). Solve 2*g + 32 = h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**5 + 3240*x**4 + 678068*x**3 + 8771984*x**2 - 19591152*x + 10137856 = 0. Calculate x.\nAnswer: -398, -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 - 507*j**4 - 8058*j**3 - 47268*j**2 - 115560*j - 98496 = 0. What is j?\nAnswer: -152, -6, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1003*k**2 - 1003*k**2 - 41*k**3)*(-4 + 0 + 3).\nAnswer: 41*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/((s\/((s\/(s**(2\/3)*s))\/s))\/s))*s)**(-26)\/(s\/(s**3*s*s))**(-44))**(2\/29) assuming s is positive.\nAnswer: s**(-1472\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 366195*o**2 + 732399*o + 366201.\nAnswer: -3*(o - 122067)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/7)\/(1 + (-10)\/14). Solve 0 = -5*t + 2*l - 11, -2*t = 5*l - l - g for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1722 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1, 6, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69324\/13 or -5333?\nAnswer: -69324\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -5102.06 and -1.05.\nAnswer: -5103.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3066051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -828, -830, -832, -834, -836, -838?\n\"Answer: -2*x - 826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 5*sqrt(171)*2)\/(sqrt(180)\/sqrt(5)) - (sqrt(38)\/(-1*sqrt(2)*1) + -5))**2.\nAnswer: -35*sqrt(19) + 1031\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 6*b**2 + 7*b - 7. Let y = 1 - -4. Give g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*d - 299, 0 = d - 1 + 6. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 0. Let m(p) = -5*p**3 + 2*p**2 + 15*p + 7. Let c be m(7). Let z = -1501 - c. Solve 28 = -h*r - z*q, 2*q + 11 = -r - q for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165, -148, -131, -114, -97?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 3*y + 2*z + 3, 5*y - 23 = 2*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from {c: 1, z: 1, k: 2, t: 1, x: 1, v: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -l - 3*i, 2*l - 41 = -l + 2*i. What is the units digit of 275\/l + 6\/(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 751156264, 751156265, 751156266, 751156267, 751156268?\n\"Answer: g + 751156263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.02 - -74.98. Let f = 76.00078 - l. Round f to 4 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.143332129 + -139.856640871. Let f = -140 - h. Round f to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {s: 2, d: 6}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 3179 = -62943. Let b = p + -255076\/27. Find the common denominator of -22\/3 and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*x**2 + 13*x**2 - 17*x**5 + (-28*x + 9*x + 8*x)*(0*x**2 + 0*x**2 + 2*x**4).\nAnswer: -39*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -966 and -3.\nAnswer: 2898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 109, 132, 121, 64, -51, -236?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2680, -5414, -8146, -10876, -13604?\nAnswer: -16330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 + l + 0*l + l)*(3 + 1 - 2 + (-4 + 6 + 2)*(0 - 2 + 1) - 1 + 0 + 2)*(-2*l + 2*l + 2*l) as d*l**2 + h*l + u and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -24)\/4 + -2. Suppose -g + 3*s = -12, n*g + s - 4 = 2*g. Let z be ((-3)\/g*0)\/1. Solve h + o = 3, 5*o + z - 14 = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.062093 and -99.\nAnswer: -6.147207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-3) - (-187)\/231 - 1. What is the nearest to -3 in -0.1, 2, s, -0.02?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/2764071 and 101\/1842714.\nAnswer: 5528142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**5\/60 - 19*x**4\/24 + 46*x**3\/3 + 1410*x**2. Factor l(u).\nAnswer: -(u - 4)*(u + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -157 + 31*a + 51*a + 159 in the form f*a + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 5, 77 in ascending order.\nAnswer: -1, 3, 5, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -3*t - 0*t - 5, -5*k = -4*t - 30. Let d = k + 17. What is the remainder when 55 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18091 and 553?\nAnswer: 126637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -888, -1330, -1770, -2208?\nAnswer: -2644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.5 in 2, 0.3, 0.4, 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 144*u**3 + 18*u + 55. Let c(n) = -108*n**3 - 13*n - 41. What is -11*c(o) - 8*w(o)?\nAnswer: 36*o**3 - o + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2025902.\nAnswer: 2, 43, 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19506 is divided by 2152?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15488675.58853 plus 67?\nAnswer: 15488742.58853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17074171 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + -3 - (5 + 3). Is f != -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -110 + 112 - (-2 + 10 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*x**5 + x**4 - 362*x**3 + 3331*x.\nAnswer: 100*x**3 + 12*x**2 - 2172*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -308*i + 275. Let z(f) = 34*f - 30. Let y(v) = 6*t(v) + 55*z(v). Let u be 2\/(-5) + 66\/15. Let o(q) = 2*q - 4 + u. Determine y(o(g)).\nAnswer: 44*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200112 (base 3) to base 8.\nAnswer: -764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 - q**3 - 2*q**3 - 3*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -134645 (base 8) in base 4?\nAnswer: -23212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1035930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.95784 * -0.04\nAnswer: -0.0383136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/69)*(153 + 37 - 192)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469.558 millilitres in litres?\nAnswer: 2.469558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 427\/13 - ((-4)\/19)\/((-49894)\/(-36461))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**2 - 4*g - 10*g**2 + 16*g**2 + 1. Let l be d(-4). Let m(k) = k**2 + k + 1. Let u be m(-1). What is the greatest common divisor of l and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 175 + 45 - 3*y**3 - y + 4*y**3 - 220 - 16*y**2 - 2*y**4 as z*y**2 + i*y**3 + s*y + b*y**4 + m and give z.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r + 4. Determine p(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222 + 222.3. Let u be -4 + (-4)\/12 + 1\/(-3). Put 2\/5, -1\/8, q, u in ascending order.\nAnswer: u, -1\/8, q, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-9) + 9 + -11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - -37) + -27 + (1 - -13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u + 13*u + 20*u = 36 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -236 - -237. Suppose 0*y = -2*y + 2. Let g be -1 + (4 - (-6)\/y). What is the highest common divisor of x and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11513 less than -4120.88?\nAnswer: -15633.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 9:54 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {x: 2, g: 1, k: 4, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -342*p + 108*p + 116*p + 119*p. Let n(l) be the third derivative of -l**5\/20 + l**3\/3 - l**2. Calculate o(n(f)).\nAnswer: -3*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 633 + -627. Solve -2*z = -2, 3*y - z + l = 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 d when four letters picked without replacement from zadxxdyzdd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-75 - (-173 - -61)) + 67.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*j - 394 = 0, -5*o + 3*o + 2*j + 244 = 0. Differentiate -o + 0*c - 5*c - 8*c + 116 with respect to c.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -64.21 and -0.1.\nAnswer: 6.421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048280870.\nAnswer: 2, 5, 7, 13, 83, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -221 + 225. Differentiate -4*n**3 + 4*n**3 - 8 + n**4 - 52*n - 4*n**p + n**4 wrt n.\nAnswer: -8*n**3 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34 - 25) + -16 + 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003 + -15.217?\nAnswer: 987.783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2416622 and 123?\nAnswer: 7249866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137776 divided by 632.\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 2.873.\nAnswer: -8.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.1 + 20. Let w = -1584 - -1582. Which is the closest to m? (a) 2 (b) w (c) 14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 513 + -4613\/9. Factor -2\/3*o**4 - 2\/9*o**5 + 2\/3*o - 4\/9*o**3 + 2\/9 + r*o**2.\nAnswer: -2*(o - 1)*(o + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31822 and 8?\nAnswer: 127288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21549 and 4736209.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1735722804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0306, 2.814, 3, -1\/4?\nAnswer: -0.0306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 4. Let y be z(0). Suppose 3*p - 16 = -y*l - p, -l - 5*p = -16. Let s be (-39)\/(-13) + (l - 0). Let d(t) = t**3 - 3*t**2 - 7*t + 6. Give d(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9646 and 2131766.\nAnswer: 2131766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 4*d - 10, -3*n - 2*d = -n + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 9*y**2 + 2*y + 4. Calculate d(6).\nAnswer: -524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 11) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, k: 6}. Give prob of picking 2 k.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 12*l - 12. Let m be f(0). Is m bigger than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 159, 157, 155, 153, 151, 149?\n\"Answer: -2*m + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31920 divided by 6384?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290645?\nAnswer: 5, 58129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1887\/(-119) + 15)\/((-25)\/(-35)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 8:46 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10592983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -7*a - 276. Calculate t(-38).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.36509 + 0.67115. What is o rounded to 3 dps?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5 = -m, 3*n + 0*m - m = 19. Suppose 3*v - 40 = -5*o, -o + 27 = 3*v + n. Put o, 3, 0 in decreasing order.\nAnswer: o, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**2 + 35*t - 26. Let b be y(6). Let m(c) be the third derivative of c**2 - 1\/12*c**3 - 2\/5*c**5 + 0*c + 13\/48*c**b + 3\/20*c**6 + 0. Factor m(i).\nAnswer: (i - 1)*(6*i - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2605.743 - 2608. Let i = -0.055 + f. Let d = -0.012 - i. What is d rounded to 0 decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -14.6. Let g = -1.4000256 - f. Round g to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x + x - 7*x + (472 - 292 - 265)*(x + 5*x - 4*x).\nAnswer: -174*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1114030132 + -3?\nAnswer: -1114030140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**6\/120 - u**5\/12 + u**4\/12 + u**3\/3 - 348*u**2. Calculate q(-6).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45 + 19*344\/(-152))*(-1 + -65).\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 773619?\nAnswer: 3, 7, 11, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -11*p + 8*p. What is the smallest common multiple of p and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5722 is divided by 773?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2154*m**2\/5 + 31450*m - 584\/5 = 0. What is m?\nAnswer: 4\/1077, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26950164.\nAnswer: 2, 3, 29, 43, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1950?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 16?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4268804331?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -39.\nAnswer: -39, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -285806777*s**4 + 207501573*s - 2 wrt s.\nAnswer: -3429681324*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**4 + 1016*c**3 - 2433*c**2 + 42788558*c?\nAnswer: -12*c**2 + 6096*c - 4866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.7 and -26663318 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -760 at least as big as -760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, 7, -2, 0.04 in descending order.\nAnswer: 7, 0.04, -0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(833)*2)**2*-2.\nAnswer: -6666 - 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 less than 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 + 12. Let c(r) = -r**2 - 3. What is 22*c(a) + 6*l(a)?\nAnswer: 2*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 160317934?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 122*q + 233. Calculate t(42).\nAnswer: -1363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -12. Calculate the common denominator of 1239\/270 + (-9)\/f + -2 and 31\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d - 5*d - 4 - 825*d**2 - 825*d**2 + 1647*d**2 + 177*d**3 + 0*d as p*d**2 + n + b*d + w*d**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p + 60 = -22*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 1, z: 4, y: 7, t: 6}. What is prob of sequence tt?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*x**2*y**2 - i**3*x*y**3 - 3*i**3*y**3 - i**3*y**2 - 7*i**2 - 27*x**2*y**3 + x*y**2 wrt y.\nAnswer: -6*i**3*x - 18*i**3 - 162*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57.369 or -772?\nAnswer: -772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 + 16*q**2 - 6*q - 42. Let m be v(-8). Solve 20*i - 23*i = m for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6*(-8)\/(-32).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 10*o**3 + 10*o**2 - 10*o + 22. Let z(f) = 3*f**3 + 3*f**2 - 3*f + 7. Let v(k) = -2*m(k) + 7*z(k). Calculate v(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 5*n - 15. Let h be d(3). Put -5, h, 6, 0 in descending order.\nAnswer: 6, 0, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + -1 + sqrt(612))*-6 + 4)**2.\nAnswer: -1440*sqrt(17) + 88228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, -380, -396, -414?\nAnswer: -434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-31)\/(-14) - (-2924 - -2926)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/12 + 7*s**3\/6 + 5*s**2 + 5*s. Does 16 divide l(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 4*s + 2*s)*(13*s + 4*s - 5*s) + 3*s**2 + 4*s - 4*s + (-2 + 2 + s)*(s - 1 + 1) - 86 + 86 + 13*s**2.\nAnswer: 29*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 512 and 488?\nAnswer: 31232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -g - 4*v, 13*g - 106 + 441 = -v for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-28)\/8)\/((-1)\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -4. Let w = 6 - m. Let u(d) = -d**3 - 5*d**2 - 4*d - 3. Let b be u(-4). What is the biggest value in w, 5, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 4) to base 3.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (66\/99)\/(3 + (-1)\/3). Which is the nearest to 1? (a) z (b) 0 (c) -0.1 (d) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 3474721 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 85\/(-340)*(-12)\/(-1)*-2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 53215420 a multiple of 670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 (base 16) in base 14?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 - -13.16. Let a = 16 - c. Let y = 33.5 + -34.5. What is the nearest to y in -1, -0.1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32579321 - 32579321 - 4*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -22*b + 6006. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -443582 - 0.1\nAnswer: -443582.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -222 + 100?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 53 (b) 1\/16 (c) 0.07 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/7))**(-13))**(-1\/58) assuming t is positive.\nAnswer: t**(13\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 divided by -12?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h + 2835 = 2952 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1, 3585 in increasing order.\nAnswer: -5, -1, 4, 3585","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -406*(-3)\/30*2. Let w = g + -82. What is the third biggest value in w, -0.03, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Suppose -238 - 126 = -91*g. Suppose q = v*f + 3*f - 78, -3*f + g*q + 40 = 0. What is the remainder when 62 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((1*(5 + sqrt(208) + 2))**2 - (-1*(2 + (sqrt(13) - (-3 + -1 + sqrt(13)) - sqrt(13))))**2).\nAnswer: -136*sqrt(13) - 416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -341 - -445. Calculate the greatest common divisor of 130 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-199784)\/(-17628) - (0 + -1)*-16?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -520011200 to the nearest one hundred thousand.\nAnswer: -520000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01749 rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 14*v - 20. Determine u(10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dpddkpufdu. Give prob of sequence fkuk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 479349630 to the nearest integer?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5378, 7618, 9858, 12098, 14338, 16578?\n\"Answer: 2240*w + 3138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d - 14*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 204853 divided by 1693\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2197995372 to the power of 1\/4, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46647219 divided by 6789.\nAnswer: 6871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4228092 by 297.\nAnswer: 14236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1532 - 1457. Calculate the greatest common divisor of u and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/((-36)\/28053))\/((-3)\/(-4)). Let q be 400\/(-65) + 6 - n\/(-13). Is -159 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of 0 - 5\/27*h**3 + 1\/108*h**4 + 57*h + 7\/6*h**2. Factor s(g).\nAnswer: (g - 7)*(g - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + (sqrt(1053) + -1*sqrt(1053) + 1 + sqrt(1053) - sqrt(1053)) - (-2*(2 + sqrt(1053)))**2)*2.\nAnswer: -8454 - 270*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/527 + -2068\/2635. What is the third smallest value in -0.4, 1\/84, i, 3?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 6 in ascending order.\nAnswer: -2, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 477\/(-212) + ((-115)\/100 - 2\/(-5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664704007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 43*f**3 + 2*f**2 + 25 - 41*f**3 + 4154*f**4 to the form x*f**3 + m*f**2 + a + v*f + l*f**4 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502 + 349 - 5*s**3 + 153 + 7*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y - 3. Suppose -7*m + 9 = -4*m. Let q be (3\/2)\/(m\/4). Determine f(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143 - (69 + -97)) + 103.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/82, 0.4, 1.\nAnswer: 0, 1\/82, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u**3 + 47*u**3 - 21*u**3.\nAnswer: 13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 6*s - 3*s + 2359994, -3*r - 3540008 = -4*s. Round r to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 w when two letters picked without replacement from owjwvdjvvvjjvrr?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14428 and 268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/63 and 29\/828.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474470?\nAnswer: 2, 5, 17, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6573, 8547, 10569, 12663, 14853?\n\"Answer: 4*k**3 + 1946*k + 4623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -176 times -9.274\nAnswer: 1632.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p. Let n(c) = -4 - 2*c + 3 + 2. Let k(j) = 8*j - 5. Let w(x) = -2*k(x) - 9*n(x). What is 2*q(z) + 2*w(z)?\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 - 8 = 0. Let r be m*3\/6 - -2. Suppose -5*u + r*p = -6, -3*u + p + 4 = -1. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/324*(-3)\/(-26))\/(36\/(-48))?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -112?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 17, 4\/3, 2.9, 8, -5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1983 + -1978. Solve -21 = 2*m + 5*j - 8, -9 = m + t*j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5543645*p**2 - 3793345*p**2 + 795434*p**2.\nAnswer: -8541556*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1377.6 + -1378. What is the closest to 2\/3 in 19, 2\/3, n, 6\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 2*v - 4. Let y(b) = 660*b**2 - b + 3*b - 660*b**2 - 2*b**3 - 5. Let f(h) = 5*h**3 - h**2. Let i be f(1). Give i*x(t) - 3*y(t).\nAnswer: -2*t**3 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-2*1 + sqrt(832) - (sqrt(832)*-2*-5 + sqrt(832) + sqrt(832)))*-4 + -2 + -3.\nAnswer: -5 + 416*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1044 + 1760. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/6 and 1 - 4 - 550\/(-235).\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 + -0.02. Suppose 5*j + 14 = -2*k - 7, -27 = 4*j + 5*k. Which is the nearest to 0? (a) -2\/9 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9330 (base 10) to base 5.\nAnswer: -244310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8724 + 11?\nAnswer: -8713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from sbmmsdfmmdsfspd.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 - 252*t. Let q be r(-84). Which is the fifth biggest value? (a) -7 (b) 1 (c) q (d) -90 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -28*(18\/(-4) + 4). Suppose l*x - 447 = 11*x. Suppose -6*q = -7 - x. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387801435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 25 - 10. Let n(q) = q**2 - q - 2. Let j be n(c). What is the highest common factor of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321051.\nAnswer: 3, 103, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-108))\/1*(-27)\/(-450)*25.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*u + u - 5400008, 5*t = -10. Round u to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -43. Let d = 101 + n. Let r = d + -63.00000033. Round r to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60417897.\nAnswer: 3, 101, 199399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3315*h - 3184*h + 6687*h. Let v(g) = -5*g. What is j(v(x))?\nAnswer: -940*x","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccxcccccccxccx.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -2\/9, 4\/3, 0.03, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1049 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w**3 - 28*w. Let i(a) = 16*a**3 + 56*a + 2. Calculate -4*i(k) - 7*m(k).\nAnswer: -k**3 - 28*k - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**5\/7 + 46*z**4\/7 + 26*z**3\/7 - 162*z**2 + 252*z = 0.\nAnswer: -21, -7, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/13)\/l**(1\/5))**(-13) assuming l is positive.\nAnswer: l**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 17 = 3*a - 5*o, -8 = a - 2*o. What are the prime factors of 2*(3 - 2)*a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.01 - 40. Let a(i) = i - 3. Let r be a(2). Which is bigger: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003205537 to seven dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 12*f**2 + 6*f + 38. Determine u(-10).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 15) in base 5?\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -3\/5, 5, -3, 1\/2, 13\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 71*q**5\/5 + 99*q**2\/2 + 15. Find the second derivative of j(i) wrt i.\nAnswer: 852*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140959863*d**2*q**4 - 2*d**2*q - 86*d**2 - d*q - 2*d - 2788*q - 2 wrt q?\nAnswer: -1691518356*d**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 639 + -8. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l - 1. Let f be b(3). Let v(i) = i**2 + 11*i + 4. Let j = -55 - -44. Let w be v(j). Solve 8*x - f*x + 2 = -2*t, w*x = 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 35829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8746787699.3 and 0.5?\nAnswer: 8746787699.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.035 and -99.\nAnswer: 201.465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238298 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.55583824 to 3 decimal places.\nAnswer: -49.556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04025871463502 take away 4?\nAnswer: -3.95974128536498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*b**3 - 2*b + 5*b - 3*b.\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*r - g - 3, 4*r = -3*g - 12. Let a be (-3)\/12 + (-10)\/(-8). Let b(u) = 3 + 0 - a + 17*u - 16*u. Determine b(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2350.23 - -2242. Let c = -109 - w. Let s = c - -0.25. Round s to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y + 455 - 127 = -19*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/t**13))\/(t**(-4)\/t))\/((t\/(t**(-1\/11)\/t))\/t**(-1\/3)) assuming t is positive.\nAnswer: t**(547\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1653*q + 158622. Give v(96).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -11 and 16406.6.\nAnswer: -180472.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 6. Let y = 66 + -71. Which is the closest to -0.1? (a) y (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1899*r**2 + 782*r**2 - 1017*r**2 - 1568*r**2 to w*r**2 + u + c*r and give w.\nAnswer: -3702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4056*c - 61. Let i(u) = u**3 + 5*u**2 - 2*u - 12. Let a be i(-5). Is g(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 6*w**2 - w. Let p(k) = -20*k**2 + 4*k + 1. Give 7*h(r) + 2*p(r).\nAnswer: 2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22020020 + -1112100?\nAnswer: -100202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((0 - 0)\/(12 + -24 - -10))\/1. Sort 109, 1\/5, f in descending order.\nAnswer: 109, 1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 264 + -150. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*q + z - 6*z, q + 9 = -z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -317490907499.06 plus 5?\nAnswer: -317490907494.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 15 = -9. Let k be (8 - -1)\/1 - (-28 - -31). Are t and k nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15590 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + -15 + (40 - (-73 - -99)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 918*f**4 + 7*f**3 - 23*f**2 + 4130?\nAnswer: 22032*f + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8138*s**3 - 2266*s**2 + 79253748 wrt s.\nAnswer: 24414*s**2 - 4532*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 27 = 141. Calculate the highest common factor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*r + 3857 = -23*r. Let j = -257 + r. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3702 and 87288841?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7049 + -7055 - (42 + 0)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/35)\/(-2*(-4)\/(-40))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221 + 13 = 42*y + 44 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 518*z**2 + z. Let j(r) = 2*r**2. Give o(j(v)).\nAnswer: 2072*v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, i: 7}. Give prob of picking 3 t.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1097 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: b\"What is the gth term of -9863223, -19726423, -29589603, -39452757, -49315879, -59178963?\n\"Answer: g**3 + 4*g**2 - 9863219*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 6*n - 11. Suppose 3*u - 9 = 0, o - 2*u + 18 = 4*o. What is the third derivative of 0*j**6 - 4*j**5 + o*j**5 + 2*j**2 - 3*j**n wrt j?\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*i - 2*i = 0. Suppose 0 = -f + p + 9 + 28, i = -4*p - 8. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/10 and -89\/210.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 390962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -6) + -17 + 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from yxyxgyyxyygxxxyxyy.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1156*m + 237*m + 666*m - 4084 - 437*m wrt m?\nAnswer: 1622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxd when three letters picked without replacement from {x: 1, l: 2, z: 1, d: 3, t: 2, s: 6}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 20. Let v be 0*4\/s - 6. Is -4 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.7 in -0.05, 57.34, 30?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-15) + 16\/(-5). Let l be ((-4)\/(-2))\/((18\/(-48))\/o). Solve -d - 2*u - u = l, -3*d = -5*u - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -1.9. Suppose 0 = -3*c - 0 + 3. Suppose -1 = -r + c. What is the nearest to f in -1, r, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 1. Let l be b(1). Suppose 2*j + 2*g = 5*g - 5, -6 = -2*g. Suppose -3*m = -j*m + 4*u - 6, -l*m + 21 = -u. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27391795 and 18629?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20577 is divided by 4806.\nAnswer: 1353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -10*t**2 + 16*t + 16. Let a(r) = 3*r**2 - 5*r - 5. Let u(f) = 16*a(f) + 5*l(f). Let h(o) = 21*o. What is u(h(n))?\nAnswer: -882*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = d. Suppose 5*b = -3*m + b + 26, d*m - 3*b = 6. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -8, -2, 1 in descending order.\nAnswer: 13, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580.9*335.\nAnswer: -194601.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -11*g**3. Let v be h(-1). Suppose z = -4*u + u - v, 10 = -5*z. Suppose 3*x = -4*c - 23, -3*c - 5 = 2*x + 11. What is the closest to -1 in x, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5744*m - 57433. What is z(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 2*k**2 + 8*k + 4. Let p = 316 + -320. What is g(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-34 - -14 - -5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 7 = 2*c. Find the first derivative of -10*j - 18 - 11*j + 2*j**3 + c*j - j**3 wrt j.\nAnswer: 3*j**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8*p**2 + 6*p**2 + 0*p**2. Let m(k) be the third derivative of k**4\/24 + 13*k**2. Let i(r) = r. Let t(h) = 6*i(h) - 5*m(h). Determine t(a(o)).\nAnswer: 14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3328024 (base 10) to base 9.\nAnswer: 6232164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6979 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1014, -4046, -9100, -16176, -25274?\n\"Answer: -1011*n**2 + n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00064906819 rounded to seven dps?\nAnswer: 0.0006491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 7 = -0*a + 10, -2*t + 20 = -3*a + 27 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q - 64*q**2 - 37*q + 22*q.\nAnswer: -64*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 19. Let d be ((-1)\/2)\/(8\/y). Let h(r) = r**3 + r**2 + 3*r - 1. Let g(l) = -l**2 + 1. Give d*g(s) + h(s).\nAnswer: s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*j**3*m + 10*c**3*j*m + 144*c**3*m - 5*c**2*j**3 + 38*c**2*j**2*m + c**2 wrt c?\nAnswer: 6*j**3*m + 60*j*m + 864*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 190004*c**3 + 4*c**2 - 2*c + 7497 wrt c?\nAnswer: 1140024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/2 - 3\/(-6). Is 3 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93995.3 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 12. Let k be y(-5). Let z(o) = 3*o + 6*o + 0*o - k*o. Let j(l) = 18*l**2. Calculate j(z(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*i = 3*j + 42, 2*i - 77 = -j. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 647*c**2*f**2 - 2*c**2 - 2*c*f**2 - c - 35*f**2 - 111*f with respect to c.\nAnswer: 1294*c*f**2 - 4*c - 2*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (1 + 4 - (-65 + 68))) + -7.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -59*y + 78. Let b be f(-10). Factor 6*p**3 + 5 + 0*p**4 + b*p**2 - 2*p**4 + 11 - 664*p**2 - 24*p.\nAnswer: -2*(p - 2)**2*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*k = 107*k - 1680 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -792 + 792 - a**2. Let q(n) = -8*n**2 + 14*n**2 - 2*n**2. Calculate q(b(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**6\/150 - 6*g**5\/25 + 89*g**4\/12 + 78*g**3\/5 - 6*g + 87. Factor x(a).\nAnswer: -a*(a - 13)*(a + 1)*(a + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 7*y**2 - 5*y - 5. Let j be g(9). Suppose -4*s - 80 = -0*s. Let z be -3 + (1 - 4 - s). What is the greatest common factor of z and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i. Let c(u) = -516*u + 103. Let p(f) = -103*f + 19. Let s(d) = 2*c(d) - 11*p(d). What is s(t(a))?\nAnswer: -101*a - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**4 - 10*y**3 - 35*y**2 + 100*y - 60 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 3.009. Let j = 0.951 + v. Let u = j + -0.06. Round u to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27861433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*r + 9 = 0, 23 = -5*h + 5*r - 3*r for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 5*h**2 + 75*h - 27. Let u(y) = 4*y**3 - 23*y**2 + 300*y - 110. Let v(l) = 15*f(l) - 4*u(l). Determine v(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -454 - (-3 + 2 + 4). Find the first derivative of 34*w**2 + 13*w**2 + d - 406 wrt w.\nAnswer: 94*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x - 24. Suppose -5*c - 2*p + 69 = 0, 2*c = -p + 15 + 12. Let y = 18 - c. Calculate the remainder when x is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 divided by -21?\nAnswer: 82\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-2934)\/(-15648)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07053607924 rounded to 3 decimal places?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/18)\/(2\/(-24)). Suppose -p*z + 20 - 4 = 0. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233 = -5*r - 208 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1863084200 to the nearest 1000000.\nAnswer: -1863000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4258317 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 10*f**2 - 5*f - 2. Calculate the remainder when 86 is divided by l(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 777 and 1221.\nAnswer: 8547","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157134.\nAnswer: 2, 3, 26189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 + 880*w**3 + 43640*w**2 + 432960*w + 1210320.\nAnswer: 5*(w + 6)**2*(w + 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -3\/2*t**2 + 1\/3*t**3 - 1 + t. What is the tens digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -541*d**2 + 24*d + 3. Let n(p) = 485276*p**2 - 21520*p - 2690. Determine -2690*h(r) - 3*n(r).\nAnswer: -538*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 - -30 - (4 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y - 4. Determine d(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 196148167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - 72\/(-108)) + 42?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 112 = -4*y, -3*y - 469 + 388 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 489796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 4*z - 4*z)*(-3*z**2 - z**2 + 3*z**2) - 2*z + z - z**4 + 3*z**4 - z**4 - z**4 + z**4.\nAnswer: 3*z**4 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 23. Let a = -6 - 7. Let k be j(a). Suppose v = -5*g - 4*v + 445, 267 = k*g - 2*v. Round g to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 166, 0, 4 in descending order.\nAnswer: 166, 4, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 3*h - 6, 0 = -u - 2*u + 3*h - 9. Let f = u + -11. Calculate the common denominator of (f\/(-105))\/((-8)\/582) and 39\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9038 - 9028. Let u(q) = -q**3 + 11*q**2 - 9*q - 3. Determine u(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -294215215 + 4\nAnswer: -294215211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 3*s**2 + 3. Let w be u(2). Is -1\/78 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/3)\/n**(-9)*(n**(2\/5))**(-5\/7) assuming n is positive.\nAnswer: n**(197\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/7))**(-14))**31 assuming j is positive.\nAnswer: j**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence raq when three letters picked without replacement from dsrysqaaaadsdssdys?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3204 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -48*l**2 + 11*l + 5. Give f(1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*j - 4. Suppose -c = -6 - 7. Solve -c = -j*g - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174234163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 570, 586, 630, 714, 850?\nAnswer: 1050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g + 4. Let a be 4\/10*5\/9. Let y = -13 + 10. What is the smallest value in g, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*w**3 - 3*w**3 + 74*w**3 + 5*w**3.\nAnswer: 158*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -12*q + 2. Let s(w) = -300*w**2. Give s(m(p)).\nAnswer: -43200*p**2 + 14400*p - 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3849*p - 16. Let o(d) = 66630040*d - 276984. Let x(h) = 2*o(h) - 34623*w(h). Let u(k) = k. Calculate x(u(f)).\nAnswer: -3847*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by ((-17)\/51)\/((-3)\/117).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 11*w - 13. What is d(-2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x + 15. Let y(o) = -57*o**2 - 7*o - 7. Let v(p) = 90*p**2 + 11*p + 11. Let m(i) = 7*v(i) + 11*y(i). What is m(a(h))?\nAnswer: 48*h**2 + 360*h + 675","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.15 and 30113 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 61 + -12. What is the remainder when 35 is divided by i\/4 + 2\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - (sqrt(686) - -3*sqrt(686)))\/((sqrt(700) - (sqrt(700) + sqrt(700)*-1) - sqrt(7)) + sqrt(7)).\nAnswer: -27*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (48 - 9) + -46.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d. Let x(c) = 2*c**2 - 12*c + 5. Let m be x(6). Let u(h) = -m*h + 0*h + 9*h + 3*h. Calculate u(k(b)).\nAnswer: 56*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:15 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by -6 + (-116)\/(-2) - 4?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 1 + (-263 - -269)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*t - 41*t - 39*t - 39*t - 41*t - 59*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 21 + 19 = 0. Suppose w*c - 9*c = -16. Suppose 0*b = 3*o + 2*b - 2, c = 5*o - 3*b. Solve 3*u - 5*n + 13 = 0, -u + o = 3*n - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*(48\/(-15) + 3). Let x(n) = n**2 + n. Let a(g) = 7*g**2 + 7*g - 2. Calculate i*a(t) - 5*x(t).\nAnswer: 2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -6, 4*p = -48*z + 51*z - 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.8 - -7.9. What is the closest to -1\/3 in m, -10, 0.2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - (1 + sqrt(72))*-6 - (2 + sqrt(72) + 0))**2.\nAnswer: 288*sqrt(2) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -102*y**3 - y**2 + 18*y - 16. Determine p(1).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.503942l?\nAnswer: 503.942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58500 and 234.\nAnswer: 58500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x**2 - 5*x**2 + 25*x - 6 + 4*x**2 - 4*x**2 - 27*x to i*x**2 + f*x + h and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3 - 4, -529 = -5*d - i. Let l = 75 - 57. Calculate the remainder when d is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1867 - 1782. What is the remainder when 4673 is divided by l?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -755*a - 814*a + 1617 = -1646*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 4*q - 6. Let b be y(6). Suppose 5*l + 2 = -3, 3*l = 4*t - 127. Let o = t - 24. Is o smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 + 2. Let w(z) = -6*z**2 + 5. Let a(f) = -5*h(f) + 2*w(f). Let v(i) = i. What is v(a(o))?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30117685?\nAnswer: 5, 13, 563, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. Let a(b) = -b**2 + 8*b + 3. Let l be a(7). Suppose 2*p - q = -5, -4*q + l = 4*p - 2*p. Put y, p, -3 in descending order.\nAnswer: y, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, -13, -43, -107, -217, -385?\n\"Answer: -2*o**3 + o**2 + 3*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3 - ((-340)\/(-17))\/((-18)\/33)) + -3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 d when two letters picked without replacement from bhdmhybcdmcmym.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 26*d**3 + 35165*d + 35166*d - 70341*d in the form r*d + k*d**3 + m + x*d**2 and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 3975871 and 3975879 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*m + 8. Suppose -5*j - m*c = -201, 4*c - 146 = -4*j + 10. Let s = 17 + j. Calculate the remainder when s is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 114 (b) 0.4 (c) -3 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 2*w**2 + 11*w - 7. Let q be s(7). Let f = 87 + q. What is the units digit of (1 - 25\/(-1)) + f\/22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 102393307.\nAnswer: 102393303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = 5*l - 160. Suppose 4*p - 10 = -3*v, 5*v = -2*p + l - 5. Let o = 179 + -179. Solve o = 2*q - 0*q + v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, -1877828 in decreasing order.\nAnswer: 3, -10, -1877828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + i + 140 = -426, 4*i = -5*g + 966. Suppose -5*s - 3*q + 195 = 3, 5*s = -5*q + g. Let o = -34 + s. Solve 3*n = -o*f - 37, 5*f + 7 = 2*n - 10 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -1 (c) 3 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-10*(-2)\/8)\/((-30)\/20)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 4*o + 4*o)*(0*o**4 + 0*o**4 + 3*o**4) - 3 + 3 - o**5 + 40*o**5 - 6*o**5 - 3*o**5.\nAnswer: 21*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 10*y**2 + 11*y - 13. Let b be q(-11). Let t = b + 12. Does 13 divide 12\/(-15)*(t - 669\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 0.81\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*s + 5*k - 15, 5*k = -5*s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834830755 to the power of 1\/3, to the nearest integer?\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -286, -507, -728, -949?\n\"Answer: -221*q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1140 is divided by 82.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2\/5 - 488\/30*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -126*p + 128. Let i be r(1). Solve -4*v - 59 = 3*g - 30, -v + g - i = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 7:06 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/32 of a kilogram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26349 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5282 at most as big as -925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 103260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74989803.\nAnswer: 3, 7, 3570943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*t - 184 = -23*t. Suppose -t*g = -49*g - 18. Let n be (2 + -2 - g)*2\/6. Solve -n*p + 5 = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69486010 divided by 5\nAnswer: 13897202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4945285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 - (5 - 5))\/(-2). Does 65 divide ((-12)\/i)\/(4 - (-2495)\/(-623))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-65))\/((-1)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 200*a**2 + 12*a + 12. Let s(u) = u**3 - 80*u**2 - 5*u - 5. Determine 5*p(t) + 12*s(t).\nAnswer: 2*t**3 + 40*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-3 - 90\/(-26))*-4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -6, -8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 6 (b) 0.5 (c) -1\/8 (d) 259\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 11*i - 9*i - 33, 3*g - 5 = -5*i. Suppose 5*n - 5793 = -i*r, 2*r = -2*n + 3409 - 511. Suppose -6*q + r = -186. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 + 14*m + 184 - 369.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 + 40*f**3 - 124*f**2 + 120*f.\nAnswer: -4*f*(f - 5)*(f - 3)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 6 - (-10 - (-14 + 16 + -24) - 7)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 904046373 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -105.99914. Round o to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -566705 or -1700113\/3?\nAnswer: -1700113\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204)*1)\/sqrt(12) + sqrt(272)*-2 + -1 + -1*sqrt(1088))**2.\nAnswer: 30*sqrt(17) + 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**0*j*j)**(-1\/77)*j\/(j\/j**(6\/7)*j)*j*j**(-8\/3))**(3\/2) assuming j is positive.\nAnswer: j**(-61\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 347 + -261?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13126 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-54)\/(-8)*(-530)\/(-33390)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.21057 to 0 decimal places.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 35*(1\/1)\/(250\/(-100))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 9*f**2 - 6*f - 58. Let h be n(6). Solve -h*g + g = 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 193*q - 7. Is b(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -f + 49, 5*v - 11 = -5*f + 194. Calculate the greatest common divisor of 26 and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28072 by 8.\nAnswer: -3509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, -3, -0.03, -0.2, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.199 not equal to 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from {c: 8, v: 3}.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8\/5*a - 12\/5 - 1\/5*a**2 = 0. Calculate a.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**(-25)\/q))\/((q*q*q\/(q**(-11)\/q))\/q))**(-10\/11))**(-36) assuming q is positive.\nAnswer: q**(4320\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 13*l**2 - 89*l + 6. Let b be t(8). What is the derivative of 17*p + b*p + 104 + 39 - 11 wrt p?\nAnswer: 143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 468*s**2 - 1888*s.\nAnswer: 936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -99 + 1 - (4 - -1). Let l = -84 - s. Which is smaller: l or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -654216 divided by -327108.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2554*4.\nAnswer: -1.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 5033*f**4\/6 - f**3\/3 - 762*f**2 + 7468*f. Find the second derivative of v(n) wrt n.\nAnswer: 20132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-7 - (0 - (-8 + 16 - -1))) + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/(-1863) - (-74)\/18?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-67)\/((-63315)\/(-54)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*u + 6. Suppose -2*n + 7*n - 30 = 0. Suppose -n*m = 4 - 16. Calculate the remainder when m is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-10 + 5 - 2) - 1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**2*p*r**3 + 71*f**2*r**3 + 27*f*p + 2*f*r**3 - 3*f*r**2 + 2*p*r**3 wrt f?\nAnswer: -6*p*r**3 + 142*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 0*u = 2*r + 14, 3*u = -4*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-5*sqrt(375)*3)\/((sqrt(50)\/(sqrt(5) + sqrt(25)\/sqrt(5)))\/(-4*sqrt(50))))**2.\nAnswer: 675000000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d. Let v(z) be the first derivative of 31*z**3\/3 - z**2\/2 - 10350. Give v(i(l)).\nAnswer: 1519*l**2 + 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a - 8. Let r(l) be the third derivative of -5*l**4\/24 - 5*l**3\/2 + 12*l**2. Let i(s) = 7*n(s) - 4*r(s). Calculate i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1)*a)\/a*a**7\/a*a*((a*a**(2\/3)\/a*a*a)\/a)**(-48) assuming a is positive.\nAnswer: a**(-71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105985 is divided by 55?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**3 - 381*a**2 - 940*a - 17. What is j(-188)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8845 + 8850. Solve 2*n - 2*d = 0, -3*n = -6*n + r*d + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3456 divided by 6.\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 2 = -17, h - 12 = 3*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4 + 50*r**3 - 286*r**2 + 238*r = 0 for r.\nAnswer: 0, 1, 7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/8 and 41\/186221.\nAnswer: 1489768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -7. Suppose c*s = 39 - 6. What is the greatest common factor of 99 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1790, -3567, -5334, -7091, -8838?\nAnswer: -10575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 30 = -4*y + 4*t, 0 = 2*y + 5*t. Suppose y*z - 16 = -3*q + 14, 5*z - 5*q = 70. Suppose -z - 21 = -u. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 64. Give r(23).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 2*k**2 - 4*k. Let a be j(5). Calculate the greatest common factor of a and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23434 - -2244?\nAnswer: 31233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.805 or -0.1?\nAnswer: -1.805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 - 177 = -66*q - 491 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -60*b + 660. Is d(-7) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4911.350345 to the nearest integer.\nAnswer: -4911","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 624120 - 624135.15915. Let m = d + 0.20815. Let b = m - -0.151. What is b rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 76, 153, 260, 397, 564, 761?\nAnswer: 988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1045, 2087, 3129, 4171, 5213, 6255?\n\"Answer: 1042*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iidiiiidid. What is prob of picking 1 d and 3 i?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33502578847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -15. Let c(h) = -7 + d + 9*h - 20. Calculate the remainder when c(12) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -270183, -540427, -810671, -1080915, -1351159, -1621403?\n\"Answer: -270244*c + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (33 + -24)*51\/1. Let y = x + -377. Calculate the remainder when y is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 + 114177*v + 4343058 = 0 for v.\nAnswer: -38, 38097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85146 - -85151. Let v = 8 + -5. Put p, 28, 2, v in descending order.\nAnswer: 28, p, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50624402.\nAnswer: 2, 17, 1488953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*x**2 - 4557*x + 353*x**2 + 9097*x - 4540*x + 37*x**2.\nAnswer: 436*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 70. Solve -f + 2*j - 4 = g*j, 3*f + 3*j - 6 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 969025339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5001*m**3 + 2*m**2 + 1. Let x(r) = -1. Let s(z) = l(z) + 2*x(z). Let b be s(-1). What is b rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4278 + 6837. Let q(v) = 3 - 14599*v - z*v - 1. Let m be q(-7). Round m to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -290\/9? (a) -5 (b) -0.3 (c) 0.094 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.8 - 15.79919. What is k rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, d: 6, q: 3, o: 8}. What is prob of picking 1 d and 2 q?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7709 - -11549. What is the lowest common multiple of x and 176?\nAnswer: 42240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -84*v**5 - 17*v**4 + 39*v - 17. Let h(c) = 28*c**5 + 6*c**4 - 13*c + 6. Let z(w) = 17*h(w) + 6*l(w). What is the second derivative of z(k) wrt k?\nAnswer: -560*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147.177 + -0.177. Let i = l - 149. What is the closest to -28 in 0.4, 2\/3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100101101111 (base 2) to base 11\nAnswer: 18a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 9*g**2 - 21*g**2.\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38, 83, 128, 173?\n\"Answer: 45*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*9\/((-54)\/(-15)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 16, 550 = 5*u + 4*l - 9*l. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 3*g**2 - 7*g + 4. Let n be a(5). Suppose n = 3*h + 7. Suppose 24 = 5*i + 3*c, h*i + 0*c = -3*c + 21. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13.67 + -16.904. What is w rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 7, 195, 4 in decreasing order.\nAnswer: 195, 7, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 772 - 386. What are the prime factors of u?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*v**4 + 520 - 1071 + 2*v**3 - 5*v + 535 + 3*v to the form s + t*v**3 + n*v**4 + q*v + g*v**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2468645 is divided by 35?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -10. Let h = -0.042 - 0.358. What is the biggest value in h, j, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 230*z**2 - 130. Let x(i) = 21*i**2 - 12. Let y(n) = 6*g(n) - 65*x(n). Let o(k) = -5*k. Determine o(y(j)).\nAnswer: -75*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 5*a = 42745, 25645 = -p + 4*p + 4*a. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*u + 3*p, -4*u + 0*p = 2*p - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -0.06.\nAnswer: -2.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*c - d - 15, 1 = c + 4*d. Solve -5*b = 3*y - 4, -3 = y + c*b - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 126 + -124. Solve -3*w = b - 5, 5*b - 4*w + m = -11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92 + -94. Let v be 0\/((28\/42)\/(q\/(-6))). Suppose -2*o - 33 + 265 = v. List the prime factors of o.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 537599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r\/(r*r\/(r\/(r\/(r**17*r)))))*r*r))**(-26) assuming r is positive.\nAnswer: r**(-364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118649 and 553025.\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 9?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -18, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/8 of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = r - 19*i + 16, 2*i + 4 = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzzffffffffffzffff. What is prob of picking 2 z and 1 f?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8780)\/(-80) - 6\/8. Suppose -21 + m = c. Suppose -2*k = a - 5*k - c, -4*a = 2*k - 310. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l = -36*l. Sort l, -14, 5 in ascending order.\nAnswer: -14, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 14 + 4. Sort 0, p, 5 in ascending order.\nAnswer: 0, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -463*f**2*k**2 - 117*f**2 + f*k**3 - 21*k**3 - 7*k**2 + 3 wrt f?\nAnswer: -926*f*k**2 - 234*f + k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 64\/1791 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-48) + 11\/4. Suppose a*j - 185 = 133. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1163 (base 8) to base 14.\nAnswer: -32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, -3, 1 in decreasing order.\nAnswer: 1, -3, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*v + 144 = -434 - 66 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9 + 0*w + 1\/3*w**2 - 1\/9*w**3.\nAnswer: -(w - 2)**2*(w + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 3*v**2 - 19*v + 30. Calculate l(4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63\/5 + -101\/10. Let j(l) be the first derivative of -3 + 1\/3*l**3 - u*l**2 - 3*l. What is j(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299114144 is divided by 84305.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of z**2\/2 + 23. Let i(n) = 7*n + 2. Determine i(g) - 6*y(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 143446 and 4219.\nAnswer: 143446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 945 and 210?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*q + 1074 = 339 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*s + 152 = -19*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 3*n**2 + 9*n - 41. Let j be v(6). Suppose j*o - 117*o - 236 = 0. Is 23 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from okcoookooooccoo. What is prob of sequence cko?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 1.8. Let r = 4 - 6. Let n = 3 - r. Sort i, -2, n in descending order.\nAnswer: n, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**2 - 3*m**2 - 5*m + 8*m**2.\nAnswer: 2*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 5, -1\/11 in increasing order.\nAnswer: -4, -1\/11, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1664 or -1685?\nAnswer: -1685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 620117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1900 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = n - 14, -17*n + 21*n - 6 = -2*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 11) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*r**3\/6 - 263870*r**2 + 211094*r - 126656\/3.\nAnswer: (r - 63328)*(5*r - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 0*q**2 - q**2)*(-1750*q - 607*q + 228*q).\nAnswer: -2129*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326*b - 32 + 32 + 324*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1082 + 1086. Sort -0.09, -5, b, 1\/7 in decreasing order.\nAnswer: b, 1\/7, -0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -75770, -75759, -75748, -75737?\n\"Answer: 11*y - 75781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 75*(-46)\/(-1035)*-3\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246553462?\nAnswer: 2, 19, 6488249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -213 (base 5) to base 7.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 20, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 84\/(-42) - (-1 - 1). Solve -17*w + 18*w = m, -2*s - 4*w = 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 = -7. Let b(p) = p**2 + 7*p - 8. Let d be b(-8). Suppose d = 3*v - 6 - 9. Put -3, j, v in descending order.\nAnswer: v, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/76 or 0?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 10. Let w(m) = m**2 - 10*m + 19. Let b be w(8). Suppose o*q = 19 - b. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11176, 21378, 31580, 41782?\nAnswer: 51984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + 0 + 0)*-6)**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 5, -5, 1, -13, 7 in ascending order.\nAnswer: -24, -13, -5, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 32810000 rounded to the nearest 1000000?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3343753865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14493 + -7845. What are the prime factors of t?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 0*d**2 + 2*d + 4\/231*d**7 - 14\/55*d**5 + 3\/22*d**4 + 3 - 1\/5*d**6 + 0*d**3. Suppose u(n) = 0. Calculate n.\nAnswer: -1, 0, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-15)\/(-10)*(35\/(-63))\/(-5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 379*z - 90. Let y be w(2). Let k = 666 - y. Which is the second smallest value? (a) -0.23 (b) -1\/5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006885 rounded to six dps?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 2*q**3 - q**4 + 2*q**3 + 2 + 2*q**4 - 1 - 7*q**4 - 2*q**2 + 14*q**4 - 11*q + 11*q + (q**4 + 0 + 0)*(2 - 1 - 3) - 7*q**3 + 7*q**3 + 3*q**4.\nAnswer: 9*q**4 - 2*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 928193106 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/1)\/(5\/10). What is the third derivative of -3*w**3 + 2*w**3 + 6*w**3 - 3*w**s wrt w?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3 - 2*d**2 + 2171*d - 2167*d in the form j + h*d**2 + q*d and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110010111010 + -11110111100111?\nAnswer: -101101010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -20*p. Let s(a) = 16*a**2 + 11*a + 11. Let r(l) = -3*l**2 - 2*l - 2. Let i = 298 - 287. Let x(t) = i*r(t) + 2*s(t). Give m(x(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/462 + (-248)\/(-42) + -6737. Round p to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -12343317 at least -12343322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.215 in 64, 0.3, 3, -1, -329?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.21 + -0.79. Which is bigger: -2\/15 or r?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - -1. Suppose 5*x + 4*j = 4820, 838 + 2982 = 4*x - 4*j. Suppose -q*v = -3*v - x. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.34075 millennia in decades?\nAnswer: 7434.075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-6 + 2*k + 6)*(1 + 2*k - 1)*(2*k - 5*k + 4*k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykcyybycmymcyryy. Give prob of picking 1 b, 1 y, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*a + 6*a. Let f(w) = -w**2 + 0*w**a - 3*w**2. Let o(q) = -2*q. What is o(f(z))?\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -629, 3, 1, -7, 515.\nAnswer: -629, -7, 1, 3, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-45) - (-76)\/18. Suppose -10 = -w*k - k. Suppose 5*b + 6571 = 4*x, b + b = -k*x + 3272. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:32 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 732342468 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 4 = -4*w. Suppose 0 = w*u - 3*r + 11, 5*u = -r - 28. Is 14 a factor of u\/15 + (-76)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2721, -5393, -8061, -10725?\n\"Answer: 2*s**2 - 2678*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 16, -52*v = -48*v + w - 63600. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 4*n - 3*m, 4 + 11 = -5*m. Let y = -1841 + 5446\/3. Let g = y + n. Which is bigger: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1347, 931, 241, -729, -1985?\nAnswer: -3533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -34. Suppose -13 = -h - x. What is the units digit of 48\/21 - (-8)\/h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 961*k - 64. What are the prime factors of r(1)?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.5099 and -1.30516438.\nAnswer: 1.20473562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yybbbybbby.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68.19 - 68.39. Which is the smallest value? (a) -0.1 (b) y (c) -215\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 12:23 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 470 + -468.8. Let j = -1.4 + v. Which is the nearest to -0.1? (a) j (b) 0.6 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1\/29))\/j*j)\/j*j*(j*(j*j*(j**6*j)\/j)\/j)\/j*(j\/((j\/(j\/(j*j**(-13\/3))))\/j))**33 assuming j is positive.\nAnswer: j**(5335\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -5, 9, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6444509 is divided by 2148129.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(243).\nAnswer: 4 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dddwddddsddddddd.\nAnswer: 91\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10001?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, l: 1, d: 1, r: 1, w: 1, f: 1}. Give prob of picking 1 f and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -2 (c) -2\/9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 654\/191?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 9:58 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, y: 2, v: 4, b: 1, h: 4}. What is prob of picking 2 y?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.36 - -6.56. Let f be -1*(2 + -1 + 5). Is y less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66, 136, 206, 276, 346?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1090454?\nAnswer: 1\/545227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 + -27. Let f be (-4)\/12 - (-1)\/9. Put f, -4, -2\/3, d in descending order.\nAnswer: f, -2\/3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2 + 7*m. Suppose -13*i = -11*i - 6. Let g(h) = 3*h**2 + 3*h. Determine i*n(r) - 7*g(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16583 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2351542 to the nearest integer?\nAnswer: 1533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olyullpuomu. What is prob of sequence lu?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*k - 200. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 25*c - 25. Let m be h(19). Let s be m\/(-51) + (-1)\/3. Suppose -16*o = -s*o - 2453. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100011100010101000 (base 2) to base 8.\nAnswer: -434250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1704 and -3.\nAnswer: -5112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 3b79?\nAnswer: 3b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 109*u**2 + 1490*u - 279. Give v(93).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(1750\/50 - 35). Let i(j) = -j - 3. Let t be i(-4). Sort 5, -2, w, t.\nAnswer: -2, w, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 0.3. Which is the third smallest value? (a) 4\/15 (b) 2\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436, -3257, -10902, -25783, -50312, -86901, -137962?\nAnswer: -205907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123 - -126. Suppose -x - 12 = 2*a + g*a, 20 = -5*a. What is the hundreds digit of x\/(-6)*(-148 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*l + 29 + 230 = 43 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 4:27 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 31667200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7. Let j = -59.1 + 59. Which is the nearest to 1? (a) w (b) -0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 428*y - 160 = 423*y. Suppose -n + 1152 = 3*n. Calculate the greatest common divisor of n and y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100 (base 2) to base 7.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g**3 - 19*g**2 - 18*g - 13. Let o(b) = 4*b**3 + 21*b**2 + 20*b + 13. Let v(r) = -4*o(r) - 5*s(r). Give v(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.07 + 2.97. Let u = z - -1.7. Round u to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from qbqqqqbppbp?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*w**2 - 53*w**2 + 27 + 1 - 50*w**2 + 140*w**2.\nAnswer: -19*w**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.875 and -0.5.\nAnswer: 1.4375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 3?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 12130551?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1243576?\nAnswer: 2, 359, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**2\/2 + 1. Let y be ((1\/2)\/((-1)\/(-2)))\/(-1). Let f be b(y). What is the closest to f in -0.3, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from ffffdldfffdffdfdd.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37.0987 millennia?\nAnswer: 445184.4","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -8\/3, -2\/7, -9, -5, 18.935?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 6. Let u be r(3). Factor f**4 - f**u - 3*f**2 + 2 - 7 + 5*f + 3 + 0.\nAnswer: (f - 1)**3*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - (-11)\/4. Let c be w - (8 + -2) - -9. Solve c - 1 = -m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205921 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 439802?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 19940475, 39880948, 59821421?\n\"Answer: 19940473*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -29*x**2 - 25*x**2 - 7 + 50*x**2 - x. Let q(b) = b**2 + 1. Calculate f(v) + 5*q(v).\nAnswer: v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 8*m**2 + 6*m - 5. Let i = 10 + -17. Determine z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 53. What are the prime factors of l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = i - 71094*s + 71090*s, -4 = -5*i + 3*s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 1 = -3*u + 5, 0 = -3*u + 5*l - 5. Let a = u + 2. Let -3\/2*n + 3*n**a - 5\/2*n**3 + 1\/4 + 3\/4*n**4 = 0. What is n?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: Solve 0 = 83*r - 361 - 54 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/5, 4, 0.003 in ascending order.\nAnswer: -2\/5, 0, 0.003, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -56241 + 28118 + 28123 - 251*u in the form o*u + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 284256 and 461916.\nAnswer: 3695328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 2*m + 8 - 6, 0 = c + 3*m - 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -71229 - -9?\nAnswer: -71220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -1.2, -2\/7, 5, 771.3 in decreasing order.\nAnswer: 771.3, 5, -2\/15, -2\/7, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7\/2 - -67\/18. Let o = 21 - 17. Sort s, o, 2.\nAnswer: s, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 898 and 12331336.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**1*o))*o)**(-49)*o\/o**0*o**13 assuming o is positive.\nAnswer: o**(-133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 418*l - 1. Is t(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*c = 0, 5*p + 13 = -4*c - 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 576, 575, 574, 573, 572, 571?\n\"Answer: -v + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 223*r**2 - 76*r**2 + 33*r**2 - 62*r**2 + 44*r as z*r**2 + d + g*r and give g.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -697*y**3 + 756*y**3 - 2 + 2*y**2 - y**2 + 735*y**3 + 4.\nAnswer: 794*y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + sqrt(475) + 0 + -5)**2*6 + 0 + (sqrt(475) - sqrt(475)*-3) + 5.\nAnswer: -580*sqrt(19) + 11555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 - 86 - 94 + 114*l**2.\nAnswer: 114*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 14. Solve 4*d + b = y, -2*d - 8 = y - 3*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, 3, -142, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/6 and -49\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (-7 - (-13 - -5)) + (4 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1349 - -1343 - (-45 - (1 - 2))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -59214.\nAnswer: -59210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*l - 18 = 0, -l - 4 + 1 = 0. Let u(z) = z**2 - 3*z - 2. Let r be u(-3). Let t = f + r. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 538, 251, -36, -323, -610?\nAnswer: -897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/8)\/(11\/44). Let y be -39*(8\/t + -3). Let -3*q**2 + 5*q + 7*q**2 + 3*q**3 + q - y*q**2 = 0. Calculate q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 1:54 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -76682 + -2?\nAnswer: -76684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -7*d**2 - d + 2. Let g(r) = r + 7. Let j = -3 - 3. Let n be g(j). Let y(m) be the first derivative of -m**3\/3 + 2. Give n*w(q) - 6*y(q).\nAnswer: -q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301, 607, 903, 1183, 1441, 1671?\nAnswer: 1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 954 and 106053?\nAnswer: 636318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-7)*(-6)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1153 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55350 and 1399350.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313534764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -209, -429, -649, -869, -1089?\n\"Answer: -220*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79063359?\nAnswer: 3, 26354453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w. Let y(z) = 3*z + 4 + 14*z**3 + 8 + 0*z**2 - 13 + 2*z**2 - 16*z**3. Suppose -5*g - 4 + 14 = 0. Give g*p(o) + y(o).\nAnswer: -2*o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2 = 10. Let s be 0\/(b + -2 + -3). Solve -12 = -3*v, s*v = -l - v + 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 8*d + 5. Let n be k(9). Let y = -8 + n. Let t be (10\/y)\/((-1)\/(-3)). Sort -5, 0, t in descending order.\nAnswer: t, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**4\/78 + 22*r**3\/39 - 21*r**2\/13 + 107*r - 5. Let p(v) be the first derivative of j(v). Factor p(i).\nAnswer: -2*(i - 21)*(i - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4 + 379*b**3 - 173252*b**2 + 686880*b = 0. What is b?\nAnswer: -648, 0, 4, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x - 5*x**2 + 4*x**2 - 19*x**2)*(4*x**2 - 3*x**2 - 2*x**2).\nAnswer: 20*x**4 + 5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/21, 0.3, 704, -9?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0 (c) 55 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-22 - -30)) + (1 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*k = -2*z - 179*k - 25, k = -5*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -37*k**2 + 258*k + 2172. Determine c(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hehk when four letters picked without replacement from {e: 1, h: 6, k: 3, m: 7}?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -3330.4962.\nAnswer: -333.04962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*g + 27*g + 26*g + 28*g + 24*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15401 is divided by 2199.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v + 133. Let z(k) = 14*k + 265. Let l(a) = 5*s(a) - 2*z(a). Let p be l(-7). What is the highest common factor of 408 and p?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/30000 and 59\/1635.\nAnswer: 3270000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 31460 (base 8) to base 5\nAnswer: 404404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 74616805 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 92*a + 218*a - 105*a as k + x*a and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 85*x**2 - 3*x**3 + 3 + 10*x - 89*x**2 + 3. Is p(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34501217 to the power of 1\/2, to the nearest integer?\nAnswer: 5874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3412 and 677282?\nAnswer: 1354564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138 + -2744. Let a = g + 11724. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/422180 and 89\/11514.\nAnswer: 1266540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -40. Let x = p - 2. Suppose 0*h - 55 = -h + 3*v, 5*v = -x. What is the remainder when h is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, q: 3, c: 3, o: 9, w: 1}. Give prob of sequence kwq.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 1 + 69*r + 1.\nAnswer: 70*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4*s - 6206 = -s, 7760 = 5*k - 5*s. Suppose 86*x - k = 81*x. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2058*p + 4341. Let m be q(-2). Solve 33*c - 8*c - m = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 7*f - 10. Suppose 3*q = 2 - 14. Is n(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 9\/7 (c) 3 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18054 and 255.\nAnswer: 90270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -39\/1537?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -20. Let f = k - -8. Which is the closest to -0.1? (a) 0.5 (b) f (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/137, 0.4, -1\/6, -3.9, 98, 3 in increasing order.\nAnswer: -3.9, -1\/6, 4\/137, 0.4, 3, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-5)\/(-1))*10\/45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 7*m**2 + 3. Let r be n(-7). Suppose 0*o - 24 = -r*o. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -8.4. Let l = o - 12. What is l rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*7\/(-4)*((56\/(-4))\/14)\/3.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = -d + 2*t, -9 = 4*t + 3. Let h be (126 - (-1 - 2)) + -3. Let z = d - h. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 4)*(-5*m + 0*m + 2*m)*(0 - 3 + 4)*(0*m**2 + m**2 + m**2) to the form y*m**3 + t*m**2 + a + w*m and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u = -69*u - 6 + 246 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 22\/4 - 27\/18. Let u(z) = -z**3 + 4*z**2 + 2*z. Let a be u(4). Solve 3*g - 24 = 8*g - f, 2*f = -j*g - a for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*s**2 + 30500*f**3*s + 2*f**2 - 14490*f*s**2 wrt f.\nAnswer: -6*s**2 + 183000*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - s**2 - 5 + 3.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 20*f + 227. Let q be u(-10). Calculate the greatest common factor of 99 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/36)*q**25\/q assuming q is positive.\nAnswer: q**(865\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + l + 1. Let y be c(3). Let v = y + 16. Calculate the remainder when 101\/(-15150)*30 - -211*1\/5 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -70, -290, -764, -1594, -2882?\n\"Answer: -17*s**3 - 25*s**2 - 26*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0*m - 522 = -4*q, -519 = -4*q - m. Round q to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78329\/2 or -1?\nAnswer: -78329\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**5 - 19148*k**4 + 616364*k**3 - 2254724*k**2 + 2736968*k - 1079456 = 0. Calculate k.\nAnswer: -4819, 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -154*v - 4005. Give l(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -60, 38, 4, -3, -4, 16 in descending order.\nAnswer: 38, 16, 4, 1, -3, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 355 and 231247.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(22)\/sqrt(2) + 2)**2.\nAnswer: -8*sqrt(11) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7820060, -15640118, -23460176?\n\"Answer: -7820058*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3 + 38373*q**2\/2 - 9715913*q + 4853160 = 0. Calculate q.\nAnswer: 1\/2, 520, 18666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2830667 is divided by 631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q + 98. Let w be o(-24). What is the hundreds digit of (-4)\/w*(-3129)\/14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 e when four letters picked without replacement from {e: 4, t: 1, c: 1, z: 5, x: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/2879 or -635\/3?\nAnswer: -635\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 73*z**2 + 3*z + 3. What is m(-1)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12369 is divided by 224.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 != 54?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (1 - -1) - (-5 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**2 + 4 + z**2 - 3)*(-2 - 13 - 2*z**2 + z**2) to i*z + f*z**3 + q*z**2 + t*z**4 + v and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 7*m**3 - 7*m**2 - 1. Let z(h) = -13*h**3 + 18*h**2 + 7. Let w(t) = -t**2 - 1. Let q(x) = -5*w(x) - z(x). Determine 11*p(o) - 6*q(o).\nAnswer: -o**3 + o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by -2\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 4712?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*z + 39363 = -17421. Is z a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3 + 243239*b**2 - 2067378*b - 1094499 = 0. Calculate b.\nAnswer: -1\/2, 9, 121611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -29, 6?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2*501882\nAnswer: -1003764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110001100 + 10101011111011010?\nAnswer: 10100111001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 2*g**2 + 3 + 0*g**2 + 3*g**4 + 0*g**4 in the form b*g**4 + n*g**2 + c + s*g + i*g**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**5\/4 + 33881*p**4\/4 - 67755*p**3\/4 - 101645*p**2\/4 + 67759*p - 33879 = 0.\nAnswer: -2, 1, 2, 33879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/60)\/((-5)\/(-45)*3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1162339662 to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + -18 - (-6 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - q + 6. Let m be g(6). Let y be m\/(-5) - (-5)\/25. Let j(z) = -z**2 - 14*z - 2. Is j(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18086, 12, 3, -22, 1 in increasing order.\nAnswer: -18086, -22, 1, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c. Let t(q) = q - 1. Suppose 0 = 7*r - 26 + 5. Determine r*i(n) + 2*t(n).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3483, -7372, -11261, -15150?\n\"Answer: -3889*h + 406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9b2 (base 12) in base 9?\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -48876 divided by -6\nAnswer: 8146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3083\/6 - 514. What is the nearest to -0.1 in 32, -2, 1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11137\/3 + -81085\/21. Let a = 148 + z. Is a <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 237.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 38*t**3 - 779*t**2 + 4*t - 1959509.\nAnswer: 114*t**2 - 1558*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -11. Put 2, -4, g in decreasing order.\nAnswer: g, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/9))**(3\/22)*(h*(h*((h\/(h\/((h\/h**(1\/10)*h)\/h)))\/h)\/h)\/h*h)**15)**(4\/5) assuming h is positive.\nAnswer: h**(1798\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-20))\/((57\/190)\/((-9)\/(-18))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9967563077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/32718 and -121\/1660008?\nAnswer: 31540152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -714*f**2 - f**3 - 2*f + 5*f**4 + 3 + 4*f + 713*f**2 + 0*f**3 in the form h*f**3 + y*f**2 + w*f**4 + r*f + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + -8)\/(-2)*-2. Which is the smallest value? (a) -1\/7 (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1949789909?\nAnswer: 61, 1889, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-663)\/(-34) - 68848\/3744.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542045748.\nAnswer: 2, 3, 17, 41, 229, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.659 take away 3.29?\nAnswer: -5.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - z - 21554318, -p = -37*z + 41*z - 5388605. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:10 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 444010417 to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**25\/(((n\/n**(2\/25))\/n)\/n))**35 assuming n is positive.\nAnswer: n**(4564\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6426 or -6414?\nAnswer: -6426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a + 5. Let u be n(-5). Let s = u + 69. Suppose -25*f - 712 = -s*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 7*f**2 - 7*f + 4. Let s be z(7). Let t = -25 - s. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9373368 - 14.\nAnswer: -9373382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -76*x**2 + x - 76*x**2 + 14*x - 5*x + 155*x**2. Let i(k) = -2*k. Let c(z) = 10*z. Let b(u) = 3*c(u) + 16*i(u). What is r(b(t))?\nAnswer: 12*t**2 - 20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6485559241 rounded to 5 decimal places?\nAnswer: 0.64856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 303 - 3?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-6 + 12 - 1 - 5).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76284 divided by -6?\nAnswer: -12714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u - 227848 + 227912 + 3*u.\nAnswer: 4*u + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 6. What is the remainder when (9\/q)\/((-1)\/(-8)) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3532 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*w**3 + 106*w**3 + 5*w**3)*((3*w**2 - 2*w**2 - 3*w**2)*(-3 + 1 - 2) + (0 - 1 + 3)*(-5 - 8*w**2 + 5) - 2*w**2 + 2*w**2 - 2*w**2).\nAnswer: -1370*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_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: Is 5 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 8*t - 9*t + 7 + 5 as x + k*t and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 2*d + 10*b, 0 = 1988*d - 1989*d + 4*b - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.2, -0.4, 1, -1\/75, 52.\nAnswer: -0.4, -0.2, -1\/75, 1, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -6169, -12336, -18503, -24670?\n\"Answer: -6167*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.8 + -1.1. Let o = r + -0.4. Suppose -5*d = 6*z + 5, -5*d - 616 = -z - 611. Which is the nearest to z? (a) 0 (b) 0.08 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2579*z + 2529*z - 1796*z**2 - 5116*z - 17 wrt z?\nAnswer: -3592","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 782*x + 89872. Give u(-642).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -27 (c) 51.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 3250674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 3 = 9*k. Let f(j) = 380*j**2 - j. Is f(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 197.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 162 to the power of 1\/2, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/195619?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnynnyyn. Give prob of picking 2 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 12:00 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54 - 15) + 71)\/(-2 - (-24 - (3 + -3)))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 7. Let l be 2*(9\/2)\/3. Suppose -1315*h + 2 = -1310*h + 2*q, -4*h + 3*q - 49 = 0. Sort h, l, w in decreasing order.\nAnswer: l, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 8:58 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/((-120)\/(-18)))\/((-4)\/1) + 28290\/49200?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 7*q - 14. What are the prime factors of x(20)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - (-3 - -5 - -5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52197, -52180, -52163, -52146, -52129?\nAnswer: -52112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:48 PM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 575142.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -29*p**2 + 7*p**2 - 19*p**2 + (-1 + 3 - 1)*(-2*p**2 + 3*p**2 - 2*p**2).\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5992 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**5\/3 - 360*x**4 + 59390*x**3\/3 - 38520*x**2 + 57245*x\/3 = 0.\nAnswer: 0, 1, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 326285248 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5 - 6*c**4 + 1041*c**3 + 7848*c**2 + 15120*c = 0. Calculate c.\nAnswer: -15, -4, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*n = 240889 - 65704. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8865 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2813784*l + 8. Let a be z(3). Let m = a + 388729979\/46. Let d = -9307 + m. Calculate the common denominator of -79\/6 and d.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 14. Let p be t(11). Let q be 5\/(-15)*(2 - p\/(-3)). Which is smaller: 1\/2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47, 338, 1113, 2612, 5075, 8742, 13853?\n\"Answer: 40*y**3 + 2*y**2 + 5*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 5355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220 (base 3) to base 13.\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e1 (base 15) to base 10.\nAnswer: -886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52.2 + -46. Let i = 1.2 - b. Let a = 22 - 45\/2. What is the third biggest value in -0.1, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -16*o + 3. Let h(n) = -33*n + 9. Let x(j) = 3*h(j) - 5*s(j). Let r(g) = -2*g. Give r(x(i)).\nAnswer: 38*i - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**2 + 5*w - 6. Let c be y(1). Suppose -i = -c*i + 32. Suppose -10*t + 172 = -48. What is the remainder when t is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + 0)*(3 - -10). Let c(j) = -4*j**2 - l*j + 4 + 1 + 5*j**2 - 2*j**2. What is the units digit of c(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**7\/840 + l**6\/240 - l**5\/20 + 7*l**4\/12 - 2*l. Let h(n) be the third derivative of g(n). Factor h(i).\nAnswer: 3*(i - 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/7)*b*b**(-6)*((b*b**(-1)*b)\/b)**(-2\/21))**23 assuming b is positive.\nAnswer: b**(-736\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -4\/25, 8?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from wiriwjjrrrwjrrrwwwbw?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 23900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*b + 4. Let h = b + 7. Suppose -h*w - w + 108 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 - -7)\/((-244)\/(-12)). Which is greater: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.5, -190, 0.14 in descending order.\nAnswer: 1, 0.14, -1.5, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 831374?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.07 and 698210256.91.\nAnswer: 698210256.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/161 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -7*h**4\/2 + 16*h**3\/3 + 10. Find the third derivative of i(z) wrt z.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 22*o**2 - 2*o + 11. List the prime factors of z(-22).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.47599 - -0.12401. Which is the second biggest value? (a) r (b) 14 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 30*v - 216. Calculate z(-18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(38)\/sqrt(2)*6.\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39385 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -34. Which is the closest to 0.3? (a) -3 (b) -2\/13 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 4*j**2 - 2*j + 12. Let y be w(-4). Let m = y - 136. What is m rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a2c2 (base 14) to base 10.\nAnswer: 143250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.142737 - -58457.142737. Let s = 58412.401 - v. Let d = 44.4 + s. Round d to 2 decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 671\/6 - 113. Calculate the common denominator of 43\/2 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:48 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.69 and 19?\nAnswer: 146.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (13 + -2 - (0 + 17 + -9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1008902 divided by -10733?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1\/2, -2\/9, 1, 1008\/157, 0 in increasing order.\nAnswer: -2\/9, 0, 1\/5, 1\/2, 1, 1008\/157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-40)\/(15 - 10) + -5 + 3490. What is the greatest common factor of n and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-68)*3*(-2)\/15.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/(37638\/(-72))*(-1)\/(-4)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42138 - 29245. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r - 6. Let l(i) = -4*i - 8. Determine 4*l(v) - 7*m(v).\nAnswer: 12*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvmvvvvvvm. What is prob of sequence mvvv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 2928\/(-84))*7. Let j be -2 + 0 + -445 + 0. Let o = g - j. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - 238 - 14*f + 20*f)*(-f - f + 0*f)*(2 + 0 - 1 + (-3 + 0 + 1)*(-2 + 3 - 3)).\nAnswer: -20*f**2 + 2380*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 36, 71, 164, 339, 620, 1031, 1596?\nAnswer: 2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -13*n**2 - 9*n + 8. Let m be s(1). Let t be ((-16)\/m)\/(150\/35 - 4). Solve -3*f - 3*y + t = -2*y, 3*f + 11 = -4*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i + 48857 + 82138 = 0. Calculate the greatest common divisor of 355 and i.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -28*m**2 + 57*m**2 + 12 - 25*m**2 + m. Let f(w) = -5*w**2 - 2*w - 13. Let q(v) = 5*f(v) + 6*x(v). Give q(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*w + 181*w + 177446 = 0. Is w a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 523 - 97*u - 261 - 262 to the form v + l*u and give l.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.17 - 2.71. Round k to one decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/20 - -4)\/((-40)\/32).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.5, -842?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 6306*m - 193. Determine k(0).\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63818 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 - (-46 + (-9 - -31) + -12)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*c - 10 = -205*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 greater than 31487.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y = -2 - 32 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -29710827*o**2\/4 + 103851*o\/2 - 363\/4 = 0?\nAnswer: 11\/3147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 449829370 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*o - 10. Let d be (o + -5)*(-9 - 1). List the prime factors of (d\/(-1))\/1 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/5)\/((-7)\/7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 11:50 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 + 25198*j**2\/3 - 50390*j\/3 + 8398.\nAnswer: -2*(j - 12597)*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914935359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1*((-35)\/(-10))\/7)\/((-1)\/34)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20 and 573.231.\nAnswer: -11464.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of 0*g**4 + 0*g**5 - 1\/120*g**6 + 0 + g**3 + 0*g - 3*g**2. Let q be d(0). Let f(l) = l - 6. What is f(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 - 6*x + 19. Calculate the remainder when d(6) is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eweewweehpw. Give prob of sequence www.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.636850387 + 0.2.\nAnswer: 1.836850387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.5 and -1056?\nAnswer: 1056.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -80\/339?\nAnswer: -80\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -358525, -4, 12 in descending order.\nAnswer: 12, -4, -5, -358525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/((1 - 0)*1). Let d = s - 12. Let i = 3\/19 + 17\/133. Which is the nearest to 0? (a) i (b) d (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -585007861\/2338 - -1751566\/7. Let i = h + 1\/167. Which is smaller: 6 or i?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n - 3. Let g(c) = c**2 + 4*c - 6. Let h(m) = g(m) - 2*p(m). Let q(j) be the third derivative of -j**5\/5 + j**2. Calculate h(q(a)).\nAnswer: 144*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4814 - -4814.1. Which is the nearest to -0.3? (a) -4 (b) -2\/89 (c) j (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**7\/420 + n**6\/60 - n**5\/60 - n**4\/4 + 3*n**3 - 7. Let z(o) be the third derivative of k(o). Factor z(r).\nAnswer: 2*(r - 1)*(r + 1)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 88.02. Round l to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22, 20, 40, 94, 194, 352, 580?\n\"Answer: 2*w**3 - w**2 - 13*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*y**4 + 1887*y**3 + 57*y - 2009 wrt y.\nAnswer: 1236*y**2 + 11322*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 37*v**2 - 16*v - 4. Let b(y) = -2*y**2 + 4*y + 1. Let r(t) = -4*b(t) - f(t). Let k(w) = -2*w. What is k(r(h))?\nAnswer: 58*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 4*u + 3. Let i be p(-4). Suppose -v - i = 4*v. Let r(w) = 6*w. Let l(t) = -2*t. Let k(d) = v*l(d) - 2*r(d). Let x(b) = b. Determine k(x(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -34*i + 1. Let v be l(-6). Suppose -70 + v = 9*r. Solve p + 5*g = 6*p - r, 0 = -3*p - 3*g + 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -15. Calculate the remainder when 2*j*4\/(-4) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 1. Let d be j(11). Let t be 133 + d\/3 - 1. What is x in -t - x**5 - 12*x**4 - 8*x**3 + 132 + 12*x + 8*x**2 - 3*x**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4185584478 a multiple of 4343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2*9\/(-156))\/(1739\/(-13912))\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 10:54 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3))**(28\/3)*a*a**(1\/6)*a*a*a**(-4\/7) assuming a is positive.\nAnswer: a**(-1067\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 9*h**2 - h - 23. Give o(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9874, -37604, -83824, -148534, -231734, -333424?\n\"Answer: -9245*z**2 + 5*z - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -231*b*w**3*z**3 + 4*b*w*z**3 - w**3*z**2 + 17*w**3*z + 12*w*z**3 wrt b.\nAnswer: -231*w**3*z**3 + 4*w*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 22*x**2 - 42*x + 44. What is the units digit of a(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) + -2*sqrt(17)*-3).\nAnswer: -14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6304?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2328\/156 + 25 + (-3)\/(-39). Calculate the highest common divisor of f and 16760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 919 + -1839\/2. What is the nearest to -0.07 in -5, r, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -18*j + 0 + 17\/39*j**3 + 16\/13*j**2 + 1\/78*j**4. Find y, given that p(y) = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0*8\/48)\/(3 - 2). What is the hundreds digit of 12\/(-18)*(-156 + q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0331 + 0.0231. Let k = 21.5 + -22. What is the closest to 1 in s, k, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.719 + -0.319. What is the third smallest value in -4, 3, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -120*u - 5168. Let y be m(-43). Do 2049 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4031*s**4 + 4*s**2 + 81*s - 2 wrt s?\nAnswer: 96744*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 103 - (0 + (3 - (14 + -10 + -16) - 12)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.61034 and 22.\nAnswer: -35.42748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 57 - 22. Suppose b = -0*x + 5*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 5652525.7705499.\nAnswer: 5652525.4705499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/682 and 39\/22.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) - (-35293)\/(-87). Do h and -405 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.019 + 0.819. Let m = -1 + k. Put m, 0.5, -3\/5, -4\/3 in descending order.\nAnswer: 0.5, m, -3\/5, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 31\/4, -0.2, 2 in decreasing order.\nAnswer: 31\/4, 2, -0.2, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 0.122?\nAnswer: -0.422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.57 and -124.\nAnswer: 194.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2)\/k**(-1\/16) assuming k is positive.\nAnswer: k**(-31\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -745*r**2*y + 2*r**2 + 380*r*y**3 + 85757 wrt y.\nAnswer: -745*r**2 + 1140*r*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 2:41 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735020444?\nAnswer: 2, 83, 409, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 68246063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 414395.8381 and 0.2.\nAnswer: 414396.0381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 155882910?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 324\/8 - 0 - (-15)\/(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1157*o**3 + 323773*o**2 + 842645183*o wrt o.\nAnswer: 6942*o + 647546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/10 + (-20)\/(-50). Let x = 1996 + -290. Suppose 3*u + 5*w - x = -0*w, 1666 = c*u - 5*w. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004826872 rounded to five dps?\nAnswer: 0.00483","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6270, -12538, -18816, -25110, -31426, -37770, -44148?\n\"Answer: -i**3 + i**2 - 6264*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -55, -110, -201, -340?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*g + 17*g - 8. Suppose 3*r - 1051 = g*p, 2146 = 5*r + 5*p + 441. List the prime factors of r.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 i when four letters picked without replacement from iimmmm.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*a, 2*j + 2*a = a + 2. Suppose -q + y = -4*y + 21, 17 = -j*q + 5*y. Suppose q*f = 37 + 215. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence too when three letters picked without replacement from {e: 4, o: 4, t: 6, c: 5}?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5563386*w**4 - 3*w**2 - 22*w + 8143.\nAnswer: 133521264*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 268 - 268.765. What is m rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 153933, 307873, 461829, 615801?\n\"Answer: 8*i**2 + 153916*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5\/9 - 28*p**4\/9 - 4*p**3 + 80*p**2\/9 + 146*p\/9 + 20\/3 = 0.\nAnswer: -1, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 + -154. What is the greatest common divisor of s and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1301103*h*t**2 + 35*h*t - 9*h - t - 58 wrt t?\nAnswer: 2602206*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19918 - 6496. What are the prime factors of i?\nAnswer: 2, 3, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -4. Let c = 12.00000044 - r. Round c to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 203*b - 4*b + 5095735 + 147*b - 5095735 as u + r*b and give r.\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-2\/3))**31\/(z*z*z**(-2\/5)*z*z)**(-24\/7) assuming z is positive.\nAnswer: z**(2381\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 28*l**2 + 31*l - 55. Let k be g(29). Solve -j = -k, -p - j - 2 + 9 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - sqrt(68)*-3*-4)\/sqrt(4).\nAnswer: -11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -0*l - 3*l. Suppose l*g - j - 11 = 0, 5*g - 4*j - 14 = 9. Suppose -19 = -3*w - 5*s - 6, 0 = -2*w + g*s + 15. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(2\/7))*f)**(1\/69)\/(f**(2\/3))**(-10\/7) assuming f is positive.\nAnswer: f**(67\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11*k**2. Let f be w(-1). Let p(t) = -1625 + 812 + 7*t + 788 + t**2. Let o be p(f). Solve 2*q - 3*u = 10, 3*q = -7*u + 3*u - o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**5 - 60*u**4 - 140*u**3 - 30*u**2 + 145*u + 90 = 0?\nAnswer: -9, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) -11 (c) -5 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4331818 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2158482797 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = 4*m + 2*z, -2*m + 3*z - 5 = 14. Let v be (1\/(-3))\/(m\/1890). Solve -3*c - 5*d = c - v, 4*c - d = 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 1880*u**2 - 15296*u.\nAnswer: 4*u*(u - 478)*(u + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 9 = -2*q, -2*a + 412 = 5*q + 349 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 11751416359.4991.\nAnswer: 11751416359.2991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 30\/(-6))*1240\/1000\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 30 + 3*h + 5891*h**2 - 2 + 39 - h as b*h + m*h**2 + r and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 15) to base 6.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + -4*(sqrt(119)*-2 + sqrt(119) + sqrt(119)))\/((sqrt(7) - -6*sqrt(7)*-1) + sqrt(7))*1.\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4518 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12)*a*a*a**(-2\/15))**(4\/3)*((a**1\/a)\/a)**(-23\/5)*a**(6\/11)\/(a\/(a*a**(-7\/5))) assuming a is positive.\nAnswer: a**(-4834\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 22*w**2 - 13*w - 22. Suppose -4*p - 4*d + 3 = -33, -2*p + d = -12. Is v(p) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213551305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/11))**(7\/6)\/(p**7*p*p\/(p\/(p\/p**(-10)))) assuming p is positive.\nAnswer: p**(-634\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y**2 - 5*y. Let a(t) = -51*t**2 - 42*t + 7. Let r(k) = 17*k**2 + 14*k - 2. Let g(n) = 2*a(n) + 7*r(n). Calculate 4*g(d) + 11*h(d).\nAnswer: 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -264\/37 + 11635\/1221. What is the common denominator of g and 4\/7?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12747 and -0.15.\nAnswer: -1912.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -16*v + 20. Suppose 9 = 3*t - 6. What is the nearest to v in -5, t, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/11 + (-80)\/77. Let f = 3\/28 + t. Put f, -1, -0.4 in ascending order.\nAnswer: -1, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-9)*j*j*j**(2\/7)*(j**13*j)\/(j\/(j**12\/j)) assuming j is positive.\nAnswer: j**(121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 43341485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/12*-2 - 30\/(-9). Suppose -6*i + u*i + 35 = 0. Calculate the remainder when i is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001485822281 to 6 dps.\nAnswer: 0.000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + b**2 - 56*b**4 - b**3 - 3*b + 47*b**4 to y + u*b**3 + k*b + h*b**2 + f*b**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*k - 304856 + 304856)*(3*k**4 - 2*k**4 + 0*k**4).\nAnswer: -21*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 7680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (572 - 572 + 10*u**3)*(-4 + 1 + 2) + 0*u**3 + 0*u**3 + 2*u**3 as d*u**3 + p*u + r + o*u**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -21, -2, -23, -388, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 11281?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/1263?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 1:33 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -45. Find the common denominator of ((-303)\/(-6) - 2)\/y and 4\/(-8) + (-93)\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200) + 0 + sqrt(200) + -1 + -3.\nAnswer: -4 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 189, 390, 601, 828, 1077, 1354, 1665?\n\"Answer: u**3 - u**2 + 197*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6228 + 0.1228. Let h = -71\/5 - -68\/5. Let l = -11\/15 - h. What is the fourth biggest value in p, 0.18, l, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 + 2. Suppose 5*u + g = 30, 4*u - 3*g + 30 = 7*u. Suppose z = -4*z + n + 7, u*z + 3*n - 19 = 0. What is the highest common divisor of z and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2 = 0, 4*j = 23*b - 27*b - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 865543 to the nearest one thousand.\nAnswer: 866000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -693*a**2 - 14*a**3 + 24*a**3 + 671*a**2 - 12*a**3.\nAnswer: -2*a**3 - 22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 - (-38 + (31 + -19 - -25)) - -95?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-1))**14\/(n*n**1)**(-13))\/(n*n*n*(n\/n**9)\/n*n**(-4))**(-3\/17) assuming n is positive.\nAnswer: n**(650\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 137*i + 714. Calculate b(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/132 and -101\/215088.\nAnswer: 2365968","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 13) in base 12?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**4\/4 + 11*p**3\/3 - 13*p**2\/2 - 7*p - 3. Let m be g(-12). Solve -m*o = -29 + 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 3*x = -550. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a - 13. Let n be c(-14). Is -4 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 6*u - 141 = n - 4*n, -330 = 5*n + 9*u for n.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1264 - -13521. What is the remainder when y is divided by 93?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 12*s - 6. Let j be (-1)\/(3\/(-31 - 2)). Let y = 17 - 10. What is the lowest common multiple of y and x(j)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -659191, 5 in ascending order.\nAnswer: -659191, -45, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 409567, 409573, 409579, 409585?\n\"Answer: 6*n + 409561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2339, -4695, -7049, -9401, -11751?\nAnswer: -14099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l**2 - 44*l + 15. Let x be y(-15). Suppose -5*w - 567 = -5*n + n, x = 4*w - 4. What are the prime factors of n?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 8:46 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47107027\/14070 + -104096\/67. Let a = 34281\/7 + h. Find the common denominator of -24\/25 and a.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-192)\/14 - 6\/21. What are the prime factors of g*(10\/(-4) + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + -3. Calculate the remainder when (62\/3)\/((-2)\/j) is divided by (-54)\/(-81) + (-666)\/(-81)*(-6)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3001 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + j + 21, 4*j + 21 = d. Does 27 divide (-2)\/(-3) - 959\/d*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60 - 66 + 29*q + 126 to the form f + d*q and give d.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10851 is divided by 2873.\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.4047 rounded to 1 decimal place?\nAnswer: -119.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d**2 - 62*d + 2. Let g be o(-15). Let p be g + (7 - 47)\/8. Which is smaller: p or 0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 46433 = 2*d, -m + 6*m - 77379 = -2*d. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 21*(-3)\/((-18)\/(-14)). Suppose 50*g = 90*g - 2200. Let i = g + v. Solve -i*m - 23 = -m + 4*s, 3*m - 5*s - 1 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (8 + -9 - 9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10069 divided by -24349.\nAnswer: 10069\/24349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 5*w + 6. Suppose 0 = 4*z + 2*g + 6, 15 = 2*z - 3*g + 38. Calculate n(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1213 at least as big as -1.0166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*x + 3 = -3, -5*n + x + 11 = 0. Let k be 1\/3 - (-4)\/6. List the prime factors of (-8)\/(-1)*k\/n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -52*l + 1. Let y be v(1). Let r = -257\/5 - y. Which is the biggest value? (a) -0.2 (b) r (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 7. Let a(k) = -k + 13. Let q be a(0). Let y = q + h. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**3 - 99*s**2 + 47*s - 270. Calculate m(49).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 313232 (base 4) to base 3\nAnswer: 11220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90.1 - 157. Let m = k - -67. Which is the nearest to m? (a) -1 (b) -3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 873 and -1.55456.\nAnswer: 871.44544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 142 (b) 0.01 (c) 1 (d) 2\/7 (e) 92 (f) 19 (g) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4, 2*l - 18 = -2*h - 0. Let u(n) = 26*n + 14. Let q be u(l). What is the highest common factor of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 21*k + 4. What is o(-1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-6) + 382\/12. Let g = -14 + x. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3431 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 455 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 162*g - 3*x + 942, 5*g + 2*x + 1961 - 2024 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33*(-10)\/75*((-780)\/144)\/(-13)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 at most 193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4891.015 years to months.\nAnswer: 58692.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1787624.4158 rounded to the nearest 10?\nAnswer: 1787620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/((-28)\/((-31360)\/(-5740)))?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/8 - 4558803*s\/8 - 6838191\/4.\nAnswer: -3*(s + 3)*(s + 1519598)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from wjtqtxqxmjxqxw.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 8 = -2*v, -5*v + 16 = -4*d + 42 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 868 + -864. Let h(o) = -o**3 + 5*o**2 - o + 4. Give h(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/3)*n)**(13\/6)\/(n*n*(n\/(n\/(n*n\/(n*n**(-6))))*n*n)\/n*n**(-3\/5)))\/(n**(-2\/21)*n*n**(4\/3))**12 assuming n is positive.\nAnswer: n**(-10511\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (6\/(-15) + (-12)\/(-30)). Let y(k) = -4 + 3 - 4 + 9*k + s. What is y(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqquuzuqzqququz.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019309 rounded to seven decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*r - 39*r - 35*r + 524 = 0. Solve 6 = r*a - o, 4*o + 27 = 3*a + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1066 + 1497. Suppose 0 = 11*u - 1549 - v. Is 30 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67968634.\nAnswer: 2, 23, 29, 50951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.45 - -48.45. Let t = 105 - h. Let i = -47.6 + t. What is i rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s + 4. Let z be p(2). Suppose 3*t + 324 = -t. What is the tens digit of (t\/z)\/((-6)\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 27 = -2*f - 2*p, 33 = f - p. Let d be 3*(-5)\/(-30)*-82. Let h = f - d. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 3*m - 1. Let z be y(-2). Which is the third biggest value? (a) 0.05 (b) z (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 times -0.3?\nAnswer: -67.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/(n*n**(-5)*n)*n)*n*n)**(2\/99) assuming n is positive.\nAnswer: n**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/2132 and -37\/102?\nAnswer: 108732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18306, 18300, 18284, 18252, 18198, 18116, 18000, 17844?\nAnswer: 17642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m + 12*m - 26*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 less than -1103215?\nAnswer: -1103215.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1076 and 4821556?\nAnswer: 1076","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2230, -2, -27, 2, 4 in ascending order.\nAnswer: -27, -2, 2, 4, 2230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 385998 + 386520 = 0 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {g: 9, z: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14987, -29469, -43951, -58433, -72915?\nAnswer: -87397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 49?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 29. Let y be d(-24). Suppose -y*r + 2 = -n + 8, n = 2*r + 18. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -726 - -766. Suppose -2*h - 4*v - 44 = 0, 0*v + 56 = -3*h - 4*v. Let d = h + 20. Calculate the greatest common factor of d and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10, g: 2}. Give prob of sequence hhgh.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 9*o**2 - o - 5. Let x be j(-9). Let h(d) = -d**2 - 10*d - 11. Let t be h(-9). Let k = -2 - t. Put x, k, 5 in decreasing order.\nAnswer: 5, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**3\/3 - 5. Let p(g) = 6*g**2 + 11. Let s(t) = t**2 + 2. Let l(b) = -4*p(b) + 22*s(b). Calculate z(l(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 3*b + 1. Let v be (-1)\/2 + 7\/(-2). Let n be t(v). Let p = -22 + 21.6. What is the second smallest value in n, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0785 and 12.737?\nAnswer: 12.8155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 490829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13433*x + 3693. What are the prime factors of h(-3)?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.406 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 7*q + 2*u - 12, 0 = -2*q - 2*u + 8. Suppose 0 = g + d - 18, q*g - 30 = 3*d + d. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -32*p**3 - 2*p**2 + 1. Calculate t(-1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/25)\/((-234)\/65).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 + 456*g - 1367. What is f(3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*w + 23*w - 76*w - 438 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.023 + 55.977. Let h = 60 - r. Let w = -1\/43 - -89\/129. Which is the second biggest value? (a) w (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (586 + 279*f - 586)*(0 + 0 - f**3).\nAnswer: -279*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 35. Suppose r = -3*n + 195 - 37, 2*r - 324 = -w*n. What are the prime factors of r?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**4\/12 - 8*l**3\/3 - 10*l**2 - 105*l. Let j be m(17). Let x(w) = -w**2 - 5*w + 2. Give x(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)\/sqrt(9) - sqrt(18)\/(sqrt(36)\/sqrt(4)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + o + 2*o)*(-4*o + 5*o - 3*o) + 0*o**2 - 4*o**2 + 5*o**2 + (-1174 + 1174 - 47*o)*(0*o - 4*o - 2*o).\nAnswer: 285*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-112))\/(2629\/(-31548))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5075537 months in centuries?\nAnswer: 0.00125629475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -1\/2 (b) 2\/3 (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 17260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41090, -82178, -123244, -164276, -205262?\n\"Answer: 2*b**3 - b**2 - 41099*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 28. Let d be j(5). Solve 7*g + 5*p = d*g + 10, 5*g - 5*p = -10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1419*r - 916. Is 20 a factor of p(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1817, 1779, 1671, 1457, 1101, 567, -181?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (sqrt(128) + (sqrt(128)*4*6 - sqrt(128)))) + 2 + -1 + sqrt(16)\/sqrt(8).\nAnswer: -183*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2\/43893 + 4696375\/3862584. What is the common denominator of i and 83\/48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n. Suppose 3*f + 3*p + 1 = 25, -2*f - p + 14 = 0. Suppose t = 9*c - 89, -5*t - 13 = -249*c + 252*c. Let o(z) = 4*z. Determine f*m(l) + t*o(l).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y - 11. Let w(f) = 4*f + 12. Let p(s) = -4*b(s) - 3*w(s). Let m be p(0). Solve 26 = 2*c - 4*g, -3*c - 2*g + m = 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22a095 (base 12) in base 3?\nAnswer: 1001021102012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 58683 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (6 + 4 - 2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 223769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68952 and 432.\nAnswer: 1241136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 370 + -317. Let b = -51 + j. Solve 2*n - 5*d = 24, b*n - d - 12 = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Suppose v*d - 15 = 8*d. Is -2*(d + 21\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18320.7 and 2.5.\nAnswer: -45801.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 430222 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 j when three letters picked without replacement from {s: 4, j: 3}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 300880403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 359243429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2369257.\nAnswer: 11, 43, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2681, 5362, 8043?\nAnswer: 10724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.3107311 less than -12.7?\nAnswer: -65.0107311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 515060546?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqa when three letters picked without replacement from lliiqqllia?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114.6 - 115. Suppose 2*r + 20 = 4*r. Which is the fourth smallest value? (a) q (b) r (c) 4\/9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.55267 and -38.02.\nAnswer: -97.0525134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4196 is divided by 1984?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/95036 and 17\/11363?\nAnswer: 1045396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/119)\/(((-54)\/756)\/((-1)\/(-1)))?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.657 - 0.3. Let c = u + -0.047. Let l = 0.52 - c. Round l to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*w = -4*w + 7622, w + 22861 = 3*z. Find the common denominator of 1\/(-60)*z\/24 and 131\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x + x**2 + x**3 - 22 + 12 + 12. Let p be s(0). Suppose 34 = k - 2*v, p*k - 5*v + 2*v = 72. Does 21 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**3 + 52. Let d(u) be the second derivative of -u**3\/2 + u. Give d(x(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 94728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609.15299 rounded to one decimal place?\nAnswer: 1609.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-210)\/28*8\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 935 + -932. Which is the biggest value? (a) p (b) -0.401 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**3\/c)**(1\/50))**(-1\/5)*(c\/c**(1\/2)*c)**3\/(c**(5\/6)\/c**(2\/17)) assuming c is positive.\nAnswer: c**(24074\/6375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2. Let a(x) = x**2 - 25 + 25*x - 27 - 25*x. Calculate i(a(o)).\nAnswer: -2*o**4 + 208*o**2 - 5408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - 4*i**4 + 4*i**4 + (0 + 2 + 2)*(-i**4 + i**4 + i**4) + 420*i**4 - 14446 + 14446 + (2 - 2*i**3 - 2)*(4*i + 0*i - 6*i).\nAnswer: 429*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-96))\/(6\/(-16)). Let f = 3 + -2.6. Let h = 6.1 - 1.1. Sort v, h, f.\nAnswer: v, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 11490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -1, -0.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*g - 3*g. Suppose f + 5*a = 18, -f - 2*a + g = -2*f. Let x be f*((-7)\/(-2) + -1). Sort 1, -2, x.\nAnswer: x, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 903734.\nAnswer: 2, 13, 34759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -100 - -104. Suppose -z + j + 3 = 0, 7 = m*j + 3. Suppose -y + d - z = -d, 4*y - 9 = 3*d. Calculate the lowest common multiple of y and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*10\/405 + 7\/9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**3 + 0*k**3 - 3*k**3 + (-2 + 1 + 3)*(2*k**3 - 2*k**3 + 2*k**3) + 2*k**3 + 0 + 0 + 3*k**3 - 19 + 19 - 4*k**3 + 36*k**3 - 3*k**2 - 1 - 23*k**3.\nAnswer: 20*k**3 - 3*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.67957 millennia in centuries?\nAnswer: 586.7957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1126)\/(-1689)*18\/32*1\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 512232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 528829430 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 492550952 less than -0.03825?\nAnswer: -492550952.03825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2081021.\nAnswer: 17, 163, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/57)\/((-1)\/3)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154)\/70 + (-9)\/3*-1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 13. Let c = 0 - -11. Is q(c) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 748 and 1276?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -52\/501 (b) 4\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*r + 91 - 118 = 0, 5*r + 28 = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2115451537?\nAnswer: 887, 2384951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, o: 1, v: 4}. What is prob of picking 2 v?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from {j: 3, c: 3, f: 1, g: 2, e: 1, n: 3}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.9 - -13. Let p = a - -0.2. What is the nearest to 0.1 in 0.5, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 6, -4, 0, 45, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -25160 to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 69, 141, 213, 285?\n\"Answer: 72*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.9 - 0.9. Let p = -0.3 - -0.1. Let b = p + -3.8. Sort -1, n, b.\nAnswer: b, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -384 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2661, 2, 1074 in decreasing order.\nAnswer: 2661, 1074, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 2 + 0*x**2 - 1\/3*x**6 + 0*x + 0*x**5 + 0*x**4 + x**3. Find the third derivative of p(d) wrt d.\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*p - 2*t, 2*p - 3*t = 7*p - 53. Suppose 8*x = 3*x + p. Suppose 0*l - 22 = -x*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 + 13)*(-s - 3*s + 8*s)*(-3 - 1 + 2 + (2 - 2 + 2)*(1 + 4 + 1)) + (-1 + 0 - 1)*(-5*s + 3*s + s)*(0 - 2 + 0) as u*s + l and give u.\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxx when three letters picked without replacement from xxxqqxxxxx?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 464 and 23192.\nAnswer: 1345136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -y + 83 + 22, 4*y = 2*m + 460. Let g = y + 129. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 10*h - 10 + 4 to the form u + j*h and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19464 - -53627. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39*175.1845\nAnswer: 6832.1955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3793163\/112 - 33868. What is the common denominator of m and -56\/3?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kckxkdxlglcggl. Give prob of picking 1 c, 1 d, and 1 l.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797089107 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 + -17. Let t(f) = f**3 + 2*f + 1. Let o be t(d). Let a be 128\/(-24) - 8\/o. What is the biggest value in a, -2\/11, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 m when three letters picked without replacement from mmppmmmm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**10*h)\/(h\/(h*h\/(h**14\/h))))**(-7))**16 assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 6*m - m)*(4 - 4 - 14)*(0 - 2*m + 0).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*l + 18, -2*s + 11 = -l + 4. Let h = 2 + s. Let f = -13499 - -13524. Solve -3*x - c - c = 1, 3*x = h*c - f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -10*g**3 - 21*g**2 + 42*g + 158. What is the units digit of q(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uxr when three letters picked without replacement from {r: 5, x: 2, u: 6}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5912.837 and 348.84992?\nAnswer: 5563.98708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2.7. Let z = -2 - -7. Let y be (-42)\/147 + (87\/(-4466))\/((-3)\/716). Put y, o, z in decreasing order.\nAnswer: z, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.73 times -5?\nAnswer: 18.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -195 - -205. Let m(g) be the second derivative of 0 + w*g + 0*g**2 + 1\/6*g**4 + 0*g**3. Let d(r) = -4*r. What is m(d(v))?\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -1289*l. Let f(y) = -6*y**2 - 17*y - 3. Calculate z(f(r)).\nAnswer: 7734*r**2 + 21913*r + 3867","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1707931 is divided by 6696?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 42. Calculate the greatest common divisor of 20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3205 = 5*x, 0 = -13*x + 14*x - p - 641. Suppose x - 197 = 12*n. What is the remainder when n is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let i = -10 + 8. Let n be i\/(-10) - 8\/(-10). Determine z(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.15, -3108, 1\/5, 2\/15?\nAnswer: -3108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - u = 15, 0 = 2*w - 4*u - 5*u + 5*u + 50 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrcinbic. What is prob of picking 1 r and 2 c?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 + -0.75. Let j = -0.45 - c. Which is bigger: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - 217*p**2 + 602*p**2 - 158*p**2 - 239*p**2 - 187*p**2.\nAnswer: -199*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-15 - (6 + -16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 254 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 156*f**3 + 4*f**2 - 157*f**3 - 131*f - 354*f - 1 - 540*f wrt f?\nAnswer: -6*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2624670 is divided by 934.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 22 = -r, 5*i + 5 = -r - 0*r. Solve r*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n + 62. Let o be l(29). Let q = 161 - -133. Suppose q = 3*w - o*y, -3*w + y - 26 = -311. List the prime factors of w.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*b + 144, 0*b + 4*b - 38 = -v. Let l be 4\/v + 3473000020\/(-230). What is l rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 8 = h, -d - 1009 = -1012 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = -18*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4096*c. Let s(x) = -x**2 + 12. What is s(q(b))?\nAnswer: -16777216*b**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 + 2*j - 20*j**2 + 2*j - 2*j to the form a + r*j**2 + n*j and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 33*d + 14. Let h(a) = -a**2 + 16*a - 7. Let g(z) = -7*h(z) - 4*w(z). Let x be g(19). Suppose -x*k = -8*k - 572. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -1001000010?\nAnswer: 1000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527334789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9031*z + 22197 wrt z.\nAnswer: -9031","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 8:17 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 7*y**2 + 18*y - 3. Let n(x) = -4*x**2 - 3*x + 9. Let m be n(0). Give f(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707298525.\nAnswer: 3, 5, 3143549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55\/3216 - 1\/268. Let z = -511\/936 + -19\/117. What is the common denominator of d and z?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 45*i + 17. What is k(-2)?\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 10. Calculate the remainder when 681\/6 - n - 1\/(-2) is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1672360 and 2?\nAnswer: 3344720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60*(-22)\/(-264))\/(0 - 6).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/2023 and -53\/3179?\nAnswer: 22253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnqqnqqqqqqnqqnn. Give prob of sequence qq.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1691 (base 10) to base 11\nAnswer: 12a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((136900\/40)\/37)\/(2*5\/4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**3 - 192950*b**2 + 192950*b**2 + 5*b**3 + b**3 + 3*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42809, -87564, -132319?\nAnswer: -177074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91*m**2*t**2 - 3*m**2*t - m**2 - m*t - 1641*t**2 wrt m?\nAnswer: 182*t**2 - 6*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2739.6 - 2740. Which is the closest to -2? (a) 3 (b) 1 (c) -14 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -4.\nAnswer: -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/3 - 61769603*d**2\/3 + 317956977603200*d + 317956998193068.\nAnswer: (d - 30884802)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -50. Let c be 24\/68*u\/152. Let t = -11643\/1615 + c. What is the common denominator of t and 76\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00935108132 to 4 dps.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 3596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + ((-627)\/380)\/33 + 18?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 6*y**2 - y + 14. Calculate the remainder when (-4)\/18 + (-400)\/(-18) is divided by x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342) - sqrt(342)*3)\/sqrt(9)*-2)\/(sqrt(1152) - (sqrt(1152) - (sqrt(1152) - (-1*sqrt(1152) - sqrt(1152))))).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - n + 5. Let h = -3 - -3. Let z be u(h). Let o(i) = 4*i + 1. Let l be o(1). Calculate the greatest common factor of l and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 259584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381 = -4*b + 911. Suppose -89 + b = -f. Let l = f - 46. Round l to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220110111 + -1?\nAnswer: -220110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3261*a**2 - 9569*a**2 + 12832*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141 + 78*x**2 - 72 - 69)*(x**3 + x**3 - x**3).\nAnswer: 78*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 778*t - 5*r - 1047 = 777*t, 5*t - 3*r - 5147 = 0. What is the highest common divisor of t and 158?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192452 divided by -474.\nAnswer: -96226\/237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -443314 + 443313.9010005. Let f = 20.77 - 20.671. Let a = f + n. Round a to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p - 6 = 38*p. What is the nearest to 0.1 in p, -1\/2, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -3.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 140917.5 months?\nAnswer: 11743.125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 933464?\nAnswer: 1866928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -14861629787 and 0.4.\nAnswer: -14861629786.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.4 (b) -56 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + l - 1. Let z(h) = -5*h**3 - 3*h - 5. Let i = -28 + 27. Let p(r) = i*z(r) - 3*y(r). What is the derivative of p(a) wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c + 3*c - 1 - 2*c + 3*c. Let d(o) = -4*o + 2. Suppose -5*l = 2*q - 22, -5*q + l = -2*l - 55. What is q*h(t) + 6*d(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*x + 2149 - 2181, 4*o + 32 = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343014 = 9*s + 4*z, 11*z = 3*s + 16*z - 114327. Is 59 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"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: What is j in 3*j**5\/8 + 225225*j**4\/8 + 2476713*j**3\/4 - 2701941*j**2\/4 - 4953429*j\/8 + 5178657\/8 = 0?\nAnswer: -75053, -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 418 and 8?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-4) + 5\/2. Suppose -4*z - w*z + 78 = 0. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-49 + 52)\/((-3)\/(-409)) is divided by 50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 21 = -127*i + 126*i, -5*i = 2*k - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 4, 4\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -463?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 1.8. Let u = 0.1 + f. Let z = u - -0.08. What is z rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4 = 8*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1476 by 6.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19\/10 or -53165?\nAnswer: 19\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 24.1. Put -0.24, b, -4 in descending order.\nAnswer: b, -0.24, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w. Let y(l) = -2*l**2 + 10. Calculate p(y(c)).\nAnswer: 22*c**2 - 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(2) + sqrt(2)*-1 - sqrt(18)\/(sqrt(18)\/sqrt(2))).\nAnswer: -2 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k - 9. Let u be i(-3). Suppose 0 = -u*c - y + 25, c - y = -4 + 11. Let r = 339 - 331. Is r at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9 - 48\/(-9). Suppose -3*p = -4 - d. Let l = 9 + p. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552 divided by 423?\nAnswer: 1552\/423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -240089*i. Let y(c) = 3*c - 347. What is y(w(v))?\nAnswer: -720267*v - 347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (5 - (12 - 44) - -1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(6\/(-5) + 1). Let p = -25 + 27. Factor m**c - 2*m**3 + 0*m**2 + m**3 + m**p - m**4.\nAnswer: m**2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 11:31 PM?\nAnswer: 4:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3119684, -12480206, -28081068, -49922264, -78003788?\nAnswer: -112325634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -168*q - 5. Let h(f) = 1428*f + 42. What is 5*h(c) + 42*x(c)?\nAnswer: 84*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2233*r**2 - 2*r + 14. Let p(f) = -27423473*f**2 + 24563*f - 171941. What is -24563*j(s) - 2*p(s)?\nAnswer: -2233*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -z + 16, -2*x - 2*x + 2*z - 20 = 0. Let c = -358 - -358.4127. Let j = 0.0873 + c. What is the third smallest value in x, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1003*j**4 + 376 with respect to j.\nAnswer: -4012*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 10*j**2 + 14*j + 25. Give w(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6541*g + 6208*g - 29304 = 0 for g.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**3 - 3*q**3 + 4*q**3 + (q**2 + 2*q**2 + 2*q**2)*(4*q + 0*q - 2*q).\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 0*a**2 + 0 + 0*a**3 + 2*a + 1\/6*a**4. What is f in j(f) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 13*i**2 + 2*i + 22. Let s(p) = 12*p**2 + 3*p + 23. Let o(m) = -3*s(m) + 4*x(m). What is the derivative of o(q) wrt q?\nAnswer: 32*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 128 = -29*x. Let d(s) be the third derivative of 0*s**5 - x*s**2 - 5\/112*s**8 - 1\/35*s**7 + 0*s**6 + 0*s**3 + 0*s + 0 + 0*s**4. Factor d(j).\nAnswer: -3*j**4*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*j - 28 = 0, j + 45 = 3*z + 2*z. Let h = z - -26. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -471 or -504?\nAnswer: -471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234417975.\nAnswer: 5, 7, 7053817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/144 + ((-31)\/6)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 755597, 755598, 755599, 755600, 755601?\n\"Answer: l + 755596","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 52*u + 240. Let r be m(52). What is the greatest common divisor of 576 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/(-1 + (-38)\/(-42)). Find o, given that 7*o - k*o + 5*o + 7*o + 4*o**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.372 in -0.24, -4\/3, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 2. Let u(j) = j**3 + 13*j**2 - 16*j - 28. Let w be u(-14). Let c(o) = o**3 + o**2 + 3. Let s be c(w). Solve -3*b - s = k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/7007726 and -57\/35038630.\nAnswer: 35038630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 5*r + 6. Let s be z(-4). Solve -j - s*p + 4 = 0, 5*j = -2*p - 3 - 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**3\/3 + 17*s**2\/2 + 23*s + 2. Suppose -1205 = 28*q - 757. What is n(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -659335 divided by -131867\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y + 2. Let h be x(-2). Let n(s) = -s - 5*s + 5*s - 32 + 40. Determine n(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*2*1)\/(sqrt(567) + (4*sqrt(567) - sqrt(567))).\nAnswer: sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(153)*2*-5)\/(-1*sqrt(36)) - (1*(sqrt(170) - (-1*sqrt(170) - sqrt(170))))\/(sqrt(10) - (sqrt(10) - (-2*sqrt(810) - sqrt(810)))))*-6.\nAnswer: 92*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Suppose 0 = -i*l + w - 5*w + 434, -8 = -2*w. What is the highest common divisor of 19 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 1\/3 (c) -5.3 (d) 0.3 (e) -337 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Is 1456795203 less than 1456795204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n + 217 - 211 + 0*n. Let y(j) be the third derivative of -j**4\/3 + 7*j**3\/6 - 26*j**2. Determine -7*b(s) + 6*y(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.0394405 less than -2229354?\nAnswer: -2229369.0394405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 196956 divided by -10942?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -33*(3040\/38000)\/(2\/(-5))?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 59 = 8. Let c = u - 15. Solve -c*p = p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.20424 - -0.2058714. Round n to 5 decimal places.\nAnswer: 0.00163","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 175*p**3 - 3*p + 176*p**3 - 7 + 7*p**2. What is j(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 819088 to the power of 1\/2, to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -w**4\/3 + w. Let p(v) = -v**2. Let f(k) = 4*k**2. Let j(t) = f(t) + 5*p(t). What is j(u(z))?\nAnswer: -16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186979, 747941, 1682879, 2991793, 4674683?\nAnswer: 6731549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1409 and -51035.\nAnswer: 71908315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -29707 take away 1?\nAnswer: -29708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1027791 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 59*y**2 - 2*y + 3. Let l be (8 - (-186)\/(-24))\/(2\/8). Let w be u(l). What is the greatest common factor of w and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/11 less than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {j: 2, g: 1, u: 2, c: 1, f: 1, t: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2 + 3*i + 259. Determine m(12).\nAnswer: -281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/101925 and 19\/122310?\nAnswer: 611550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 24043254?\nAnswer: 24043256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/3)\/((-616)\/2079)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 266418 and 574?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 2*m + 2*i - 10, 0 = -26*m + 3*i + 395 - 470 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(5\/8)*y*y**(-3\/4) assuming y is positive.\nAnswer: y**(5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 - 11) - (-1235 - -1199).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61740117.\nAnswer: 3, 2286671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1551 = -5*x + 2*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 5*s**2\/2 - 4*s - 85. Let w(l) = -6*l + 4. Determine 3*w(b) + 4*x(b).\nAnswer: 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -11*k**3 - 9*k**2 + 2*k - 9. Let w(o) = o**2 + 1. Let n(v) = -2*t(v) - 18*w(v). Find the second derivative of n(u) wrt u.\nAnswer: 132*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 1 - 10 + 687*z + 930*z.\nAnswer: 1617*z - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, o: 3, d: 3, w: 5, i: 2}. What is prob of sequence rd?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -697 + 700. Put 2, q, -5, 4 in ascending order.\nAnswer: -5, 2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (559*n**3 - 373*n**3 - 2968*n**3)*(-1 + 2 - 2 + 2*n) to z*n + t*n**4 + q*n**3 + p*n**2 + b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -r + 5*x - 30, -2*x = -3*r - 2. Suppose 4*y + a + 21 = -0*a, -3*a = -r*y + 7. Sort y, 4, 25, -1 in descending order.\nAnswer: 25, 4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -5 (b) -1.1 (c) -9\/5 (d) -325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17328, -17345, -17360, -17373?\n\"Answer: t**2 - 20*t - 17309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.9 - 1.2. Let a = -8 + 23\/3. What is the nearest to -1 in a, g, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (12\/4 - -3) + -1. Let l(g) be the third derivative of 0*g + g**2 + 0*g**y - 1\/210*g**6 + 0 + 4\/21*g**3 + 1\/14*g**4. Factor l(t).\nAnswer: -4*(t - 2)*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2995114 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1465, 1466, 1467?\n\"Answer: j + 1464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4\/4 + 4*x**3 + 993*x**2\/4 + 1855*x - 2107 = 0.\nAnswer: -14, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*o + 793 - 1281, -2*o + 727 = 3*d. What is the remainder when d is divided by 194?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2591 = -282*r - 1339 + 2978 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -11. Let y = -3 - f. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.26? (a) -51 (b) -0.07 (c) -116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*o + 14*o + 10*o + 4 in the form m*o + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3485.\nAnswer: 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3869.8506 minutes?\nAnswer: 0.38391375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 10:09 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -49*t**2 - 6*t + 7. Let p be i(2). Is 15 a factor of (-6)\/((-24)\/(-20)) + (0 - p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 2*b**2 + 4*b - 29. Is 7 a factor of f(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15990347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 + 17 = 2*l. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83806493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/3 + 98 + -1. Let o be 699\/(-21) - 4\/(-14). Let d = b + o. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 258827330 divided by -51765466\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/1245916 and -169\/16018920.\nAnswer: 112132440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*z + 118*z - 306 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n + 1. Let k be y(2). Let x = -14.6 + 15. Which is the nearest to 0.1? (a) x (b) k (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 16 = 4*p, 5*p = g - 6*g + 30. Let r(k) = k**3 + 5*k**2 - 2*k - 3. Calculate the remainder when r(-5) is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 39200?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8*z**2 - 2*z - 2. Let j be o(-1). Suppose -4*f + j*f = 60. Suppose 5*p = f + 45. What is the remainder when 59 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 145, 146, 147, 148, 149?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 4*w - 3*w + (-3*w + 6*w - 2*w)*(-1 - 2 + 5))*(-4*w - 6*w + 4*w).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 6*u + 1. Let y(n) = -5*n + 1. Determine -2*m(v) + 3*y(v).\nAnswer: 2*v**3 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 1015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 - -1) - (-1 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 537 + 1 + 2 + 0. Let y(l) = 2*l. Let g be y(-2). Calculate the remainder when (g - 0)*k\/(-48) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -181 + 184. Suppose -5*k = 20, 2*k + 15 = t*u - k. Which is greater: -51 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3007)\/(-11349) - 2\/18.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -12. Let g = r - -10. Solve g*y - 11 = -2 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 18*b - 2 - 1.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*f + 994, 2*f + 3*p - 402 = -0*p. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000011010 - 1011011?\nAnswer: -1100001110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 8*b**2 + 5*b**3 - 4*b**2 + 2*b**3 + 2 - 8*b**3. Let d be z(4). What is the third derivative of 3*w**2 + 0*w**2 - d*w**2 + 2*w**4 wrt w?\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 824 = -4*c + 90124, -c + 22719 = 5*m. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 - 3*o**3 + 6*o**3 + (-7 - 1 - 1)*(2*o**3 - 4*o**3 + o**3) + 4*o**2 - 4*o**2 - o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/5384 and -19\/220744?\nAnswer: 220744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -148.393 - -146.9. Let v = -0.027 + s. What is v rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 5:33 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 141 in -3, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 11:35 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**2 + 2294*n + 4604. Calculate o(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94 + -15. Suppose -u - 61 = -2*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 12*l**2 + 5*l - 11. Let a be m(12). Round a to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4226844 is divided by 9456.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*k**2 + k**2 - k**2)*(-1 + 3 - 1) + 4 - 4 + 6*k**2)*(-1 + 1 - 3*k) to the form q*k + t + x*k**3 + c*k**2 and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16882150 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a**4\/20 - 4*a**3\/15 + 58*a**2\/5 + 48*a - 10566. Factor r(h).\nAnswer: -(h - 10)*(h + 2)*(h + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 116 and 15602?\nAnswer: 31204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j + 354 = 3*u, -4*j - 12 = 0. Suppose -4*s - 11 = -u. What is the highest common divisor of 42 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6278 + 6448. Let c(i) = -33*i**3 + 1. Let x be c(-1). Calculate the highest common divisor of v and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 + (-15218)\/(-2394) + (-4)\/(-38) and -56\/95?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h + 2*h - 7*h + 5*h + 2. Let x(r) = -6*r - 2. Give 5*g(s) + 4*x(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 194920 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 65. Let r(b) = -1. Give h(f) - r(f).\nAnswer: 2*f - 64","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**4 - 10*g + 10*g + (0*g - g + 0*g)*(3*g**3 + 3*g**3 - 7*g**3).\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 40457323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1001*x + 30434 = -983*x - 395644. What are the prime factors of x?\nAnswer: 23671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 1:32 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(1680\/(-45))*16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -701 - 8034 = -194*a - 0*a - 393 for a.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/4 + 16457*g**2\/4 + 67798635*g\/4 + 743795019\/4.\nAnswer: (g + 11)*(g + 8223)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -20. Let k = x + -9. Suppose 6*a - a = 15, k*w + a - 7 = 0. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)*5)\/sqrt(9))\/(sqrt(6) + -4*sqrt(6)*4).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 811754980?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -1167832, -1 in increasing order.\nAnswer: -1167832, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -11*q**3 - 5*q**2 - 4*q. Let t(y) = 2*y**3 + 2*y - 1. Let g(h) = -6*h**3 - 4*h**2 - h - 1. Let p(n) = -2*g(n) + 2*t(n). What is -8*d(f) - 5*p(f)?\nAnswer: 8*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591*g**3 + 162*g**3 - 745*g**3.\nAnswer: -1174*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 - -1.5. Let i = -1061 - -1064. What is the closest to 1\/4 in -1, w, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 17. Is s at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221362415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v - 7 = 0. Suppose -5479 = v*b + 3236. Round b to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6407 in 0.07, -1\/8, -3, 4\/3, -1?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -0.2, -40, 4\/7, -5\/21 in decreasing order.\nAnswer: 4\/7, -0.2, -5\/21, -10, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 70*x**2 - 140*x**2 + 67*x**2 + 20*x as f*x**2 + d + h*x and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 1, 0, -97, -22 in descending order.\nAnswer: 1, 0, -1, -4, -22, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfrrrfrfrrfrf. What is prob of sequence rrrr?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1225*d**4 - 610*d?\nAnswer: -14700*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 14 = -4*t, 0 = -2*t - 4 + 14 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-4 + sqrt(448))**2 - sqrt(175)*4).\nAnswer: -84*sqrt(7) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 7:15 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 148*x + 2. Let c(f) = f**2 + 150*f - 4. Determine 2*c(b) + 3*s(b).\nAnswer: -b**2 - 144*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 421\/18 - 45\/2. Sort 1\/3, l, 2 in ascending order.\nAnswer: 1\/3, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**5 + 8872*v**4 + 5586944*v**3 + 713031680*v**2 = 0.\nAnswer: -1024, -170, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 536056923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 305592719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*m - 29966 = 11158, -5*n - m - 68540 = 0. What is n rounded to the nearest 100?\nAnswer: -13700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a factor of 2155324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -34*z. Suppose -f - 4 = -0*f + 2*p, 4*f = -3*p - 11. What are the prime factors of r(f)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -583.6 + 583.4. Let a = 0 - -2. What is the nearest to 0.044 in a, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*v - 4 = 12, -b - 3*v - 10 = 0. Let x be 2 + 41646 + (-1 - b). Let l = -61651 + x. What is l rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 2*s**2 - 3*s + 6. Let j(h) = h**2 - 14*h + 27. Let g be j(12). Suppose 2*m - g*w + 9 = 5*m, -4*w - 6 = m. Is x(m) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 0, -4, -20, -54, -112, -200?\n\"Answer: -f**3 + 3*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 305786, 305021, 304256, 303491?\n\"Answer: -765*c + 306551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.35 + -1.336. Let l = r + 2.986. Let g be 0 + 3 - (-168)\/(-49). Sort g, 4, l, -2\/13 in descending order.\nAnswer: 4, l, -2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 1. Let l = -1 + 1. Suppose -5*b - 3*y + 27 = 0, l*y + 3*y + 3 = 0. Let k(o) = -2*o + 9. Let x be k(b). Give a(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161023750711+0.18\nAnswer: 161023750711.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sgmumhsg. What is prob of sequence hggm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 52849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -39 - 2 - (-1 + -61 - -53)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 588408965?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20406 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z = -183*z + 2113 + 1751 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*y - 5*y. Let z = -3 + -2. Let o = z + 0. Which is the nearest to y? (a) o (b) -1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(972) + -1 + sqrt(972))*-3)**2*-3.\nAnswer: -2624400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6070698 grams in milligrams?\nAnswer: 607.0698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40.336 - 3525344556.\nAnswer: -3525344596.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - 24. Suppose -g = -0*o + o. Find the common denominator of -68\/3 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -234, 2 in decreasing order.\nAnswer: 5, 2, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2969609, 5939225, 8908841, 11878457, 14848073?\n\"Answer: 2969616*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a - 1. Let m(c) = 6 + 5*c + 3*c**2 - 4*c**2 + 3*c. Let k(s) = -s**3 - 6*s**2 + 6*s + 2. Let x be k(-7). Let z be m(x). What is u(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1 = -d + 2*k, -3*k + 5 = -2*d. Let m(w) = 22 + d*w + 0*w - w. Let l be m(-13). Solve 2*h + h - l = s, 4*s = 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 265 + -259. Differentiate 100 + 10 - 414*a**2 + 413*a**2 - j*a wrt a.\nAnswer: -2*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -21 + 2*x + 11 + 5*x. Let j(v) = -13*v + 19. Let y(h) = 5*g(h) + 3*j(h). What is the tens digit of y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-6 + 12)*-3. Solve 28 = -x - k*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(3\/1))\/(((-4)\/(-2))\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20025753?\nAnswer: 3, 11, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -352 + 324. What is the common denominator of -37\/6 and ((-858)\/l)\/(0 - -9)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 1448367.\nAnswer: 1448366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, g: 1, w: 2, a: 1, z: 1}. Give prob of sequence wssg.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 2*x**2 - 2*x**2)*(-2*x + x + 2*x) + 19*x**4 + 12*x**3 - 12*x**3.\nAnswer: 21*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 382789 + -132718. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/19 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 7:35 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*-5*-2*sqrt(605) + -5)**2.\nAnswer: 6160*sqrt(5) + 968049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10147.3 - 10148. Sort -4, 5, q, -1\/3, -2 in increasing order.\nAnswer: -4, -2, q, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8))\/(7\/(-6))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 22 = 108. Let q = 66 + m. Let p = q - 26. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 496086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p**2 + 12. Let w(o) = 1. Let l(k) = -r(k) + 12*w(k). Let u(a) be the second derivative of -2*a + 0*a**2 + 0 - 1\/12*a**4 + 0*a**3. Give l(u(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -828.17 and 92?\nAnswer: -76191.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*y + 3122 + 1153 - 132 = -207 for y.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 3 + 81*r**2 - 36*r**2.\nAnswer: 45*r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 334131972701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**2 + 11*o - 8. Let q be n(5). Let f(z) = z. Let t be f(q). Put 5, 4, 10, t in ascending order.\nAnswer: t, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -13. Let m = y + 329. Suppose 0 = -0*t - t + 3*d + 330, t + d = m. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 9*b - 15. Let f(v) = v**3 - 3*v**2 - 15. Let a be f(0). Let j(t) = -1. Give a*j(y) + q(y).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) + (-4)\/6. Let t(g) be the second derivative of 0*g**2 + g + 1\/12*g**4 + i - 1\/3*g**3. What is the second derivative of t(v) wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20968 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21328476 and 6084.\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 18 = 0, p = -27*g + 25*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 - 17*d - 11. Let c = 100 - 96. Suppose 11 = c*h + 43. Let j be o(h). Which is greater: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12896 less than or equal to 51579\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -926 (b) -2\/3 (c) 2 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.875 - -0.145. Let h = 2 - d. Let f = h + -1.98. Which is the closest to 1? (a) -0.5 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2686500?\nAnswer: 2, 3, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*b = 13*b + 180 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, x: 2, w: 1, p: 4, c: 4, h: 4}. Give prob of picking 2 s.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110101 + 1001010100000100?\nAnswer: 1001011110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from gjjgwggfb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 7 + 53. Let a(g) = -3*g**2 + v*g**2 - 6*g**2 - 22*g**2. Let y(x) = 6*x. Calculate y(a(f)).\nAnswer: -66*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/8, 0.1 in descending order.\nAnswer: 0.1, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 plus 943.9137?\nAnswer: 943.7937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -39.9. Let v = -7973242\/501 - -15915. Let c = v - 2\/167. What is the second biggest value in 1\/13, z, c?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 858273331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 267 + -748. What is the common denominator of (-4)\/3 - f\/858 and 55\/96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33958?\nAnswer: 2, 16979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/2)\/(-1*2). Let w be ((-2)\/3)\/(2\/(-36)). Suppose -5*n - w = -9*n. Solve n*v - 4 + 16 = z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 0)*15\/(-1). Suppose r = 2*t + 7. Solve t = -x - 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*g - 305*g = 343 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.4082 take away -0.3958867?\nAnswer: 61.8040867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35263411 (base 7) to base 14.\nAnswer: -5ac9b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -150.79 - -152. Let f = w - -0.7. Let l = f - 2. Which is greater: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 0 + 0)*(-5*i + 4 - 4).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -699*r**2 - 20*r. Let p(l) = 382356*l**2 + 10944*l. Give 2736*a(t) + 5*p(t).\nAnswer: -684*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + -12620688?\nAnswer: -12620675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32 + -32. Let v be 1\/(-1 - (2 - 25\/10)). Suppose 7*n = 8*n. Which is the nearest to n? (a) 0.4 (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 35. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/15 - 5*m**4\/6 + 15*m**3\/2 - 39*m**2 - m. Is o(6) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/1*-1)\/((-5)\/10)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*4*20\/32. Let v = 2 + 1. Suppose j*g - 4*u = -1, 5*g + v*u = -u + 31. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -68, -117, -186, -281, -408, -573, -782?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 357368 and 3286.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88570 is divided by 788?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose -y*n = -0 - 4. Find the second derivative of -3*d**4 - 26*d**3 + 26*d**3 + n*d wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in centimeters?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 841 = 4*o, -4*o = p - 2*p - 149. Let s = p - -232. Suppose 3*c + 5 = 2, 3*c + s = 4*n. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 105674, 211118, 316560, 422000, 527438?\n\"Answer: -n**2 + 105447*n + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82018 and 2254.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -1, -18, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 4 = b. Suppose n + 52 = 5*y, -2*n - 24 = -4*y + 14. Calculate the remainder when b is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/40)\/((-13)\/39).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 7*p - 37. Let x be f(-15). Let q = x + -195. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*f + 104*f - 1929857 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2542720 rounded to the nearest ten thousand?\nAnswer: 2540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121102221 (base 5) in base 16?\nAnswer: 8a2b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 68*t - 71*t - 24 = -142*t, -3*i - 2*t + 16 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 494*w - 500*w + 53*w**2 - 38 + 9. Is s(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 2*y - 9161, 820*n - 819*n = -5*y + 9158. Is n a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -4*i**5\/15 + i**4\/12 - i**3\/3 + 26*i**2 + 11*i. Determine q(2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/o**(-1\/6))\/o*o*o\/(o**(-3\/2)*o)*o)**27 assuming o is positive.\nAnswer: o**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1096 divided by 8.\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2315142 (base 6) to base 8\nAnswer: -350446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let y be (60\/25 - 2)*5\/18. Let u = -0.08 - 2.92. Sort y, n, u in increasing order.\nAnswer: u, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.298 and 10491?\nAnswer: 3126.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.01888 * 0.35\nAnswer: 0.006608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, -5, -2, -6, 26, -1 in increasing order.\nAnswer: -24, -6, -5, -2, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1208, -9537, -32026, -75713, -147636, -254833, -404342, -603201?\n\"Answer: -1173*s**3 - 42*s**2 + 8*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301932964.\nAnswer: 2, 73, 103, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 40\/8 + 13\/(-4). Let a = 153\/4 - 38. What is o in -1\/2*o**3 + 1\/2*o - o**2 + a + w*o**4 = 0?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -2. Suppose -2*i + 1 = t. Let u = 25 + i. Calculate the least common multiple of 4 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (12 - (-10 - -11))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 267*v**3 + 7*v**2 wrt v?\nAnswer: 1602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 496*p = 452*p + 44 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 260921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 10 - (-28 + 11 + 16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 1 = 3*o - 7, 5*o - 12 = 4*z for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1, -18, 17.\nAnswer: -18, -5, -4, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d + 13. What is j(14)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 + 5.88. Let o = -154 - -154.1. Does o = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 17 + 1 - (1399 + -1362)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rbwyrrcrooobobr. Give prob of picking 1 b and 3 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*v - 7, -1222 = -4*g + 5*v. Suppose 293*q + 195790 = g*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1134.7 - -1134.9. Is 164 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h - 4. Let v(q) = -q. Let i(y) = -6*v(y) + 2*x(y). Let d be i(6). Solve -8 = -0*f + f - 3*g, -4*f + d*g = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (7 + 22) - -8) + 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -28. Suppose -u = -3*p + 47, -p - 2 = -3*u - z. Suppose 2*w - 6 = -5*a + 6, -3*a + 5*w + 32 = 0. What is the lowest common multiple of a and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - g + 46 + 51, -f = -2*g - 37. What is the highest common factor of 22 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 + -12. Let w(o) = -7*o - 6. Calculate the remainder when w(-4) is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbyne. Give prob of sequence mebn.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 6225617.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 65*v - 17. Let r be a(32). Solve 0 = 38*s + r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-606)\/(-8) + (-4)\/(-16). Let u = y + -53. Let r be 682\/165 + (-4)\/30. Solve r = 8*t - 6*t + 3*g, 0 = -3*t + 4*g + u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181 = 40*y - 661. Let g be y\/(-21)*-11 + 14\/(-49). Solve g + 3 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 e, 1 m, and 1 k when four letters picked without replacement from lllellllmkkm?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (145\/10 + -7)*4\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 8. Let w be o(2). Solve 0*z + 2*z - 12 = 4*r, 2*r + 12 = w*z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -453725972 divided by -1\nAnswer: 453725972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2. Let f(u) be the third derivative of -u**6\/180 + 2*u**4\/3 + 9*u**2. Let c(v) be the second derivative of f(v). Give m(c(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6574 and 20068.\nAnswer: 381292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u + y + 1527 = 0, 4*u = -y + 1521. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/8*(-410)\/25. Suppose -m = -8*a - 3. Are 13 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**4 - 25166*o**3 + 391598*o**2?\nAnswer: -48*o - 150996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 8*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of -8\/7*i**3 - 24*i - i**2 - 5\/84*i**6 - 13\/21*i**5 + 29\/21*i**4 + 0. Let w(m) be the first derivative of x(m). Factor w(n).\nAnswer: -2*(n + 6)*(5*n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -124*s**2 + 5580*s. Let o be r(45). Let l(m) be the third derivative of -5\/24*m**4 + 9*m**2 + 2\/3*m**3 + o + 0*m. What is l(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skh when three letters picked without replacement from hhmckhsskhbs?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 54 + -3312?\nAnswer: -3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, j: 3, g: 1, w: 2, k: 1}. Give prob of picking 1 g, 1 w, 1 j, and 1 b.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -201110010221 (base 3) in base 9?\nAnswer: -643127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28 from 5095219851.\nAnswer: 5095219879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 14312289821383?\nAnswer: 14312289821383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -28966 and 1.\nAnswer: -28965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*7\/(84\/1756)?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 928 + 1081 - 329 - 5*a + a**2.\nAnswer: a**2 - 5*a + 1680","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**5 - 885*u**4 - 3490*u**3 - 5210*u**2 - 3465*u - 865.\nAnswer: -5*(u + 1)**4*(u + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3476 and 209448118?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5740 + q - 2868 - 2872 + 14*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 92 = 37. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1245777 and 1245747 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.71 + -4.71. Which is the third biggest value? (a) 12 (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*(-35)\/(-14).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 4:00 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.5 minus 148262273?\nAnswer: -148262280.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 48 = z. Is 262 + ((-1)\/(-6) - (-92)\/z) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189c440 (base 13) in base 6?\nAnswer: 445113222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 79*h**2 - 27*h + 127. What are the prime factors of o(-77)?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 12*a + 7. Let d = 192 - 178. Suppose -7*r = -d*r + 791. Calculate the remainder when r is divided by z(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1485*h**3*q**3 - 2*h**3 + 11*h*q**4 - h*q**2 - 74*h - 21*q wrt q.\nAnswer: 8910*h**3 + 264*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3315 is divided by 675.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*((-18)\/3 - 1). Let c = 33 + h. Calculate the greatest common factor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17*(-4)\/(-306) - 50\/63. Let h = -1.27 + 5.27. What is the third biggest value in -0.3, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90252 and 66?\nAnswer: 992772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -135, -243, -385, -561, -771?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 4:40 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 + -39. Suppose b = -i - 3*i + 8. What is the units digit of (i - (-17)\/(-4))\/(1\/(-16))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 18*w + 50. Let j be t(3). Suppose i - 5*l - j = 348, -i - 3*l + 420 = 0. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 388, -624, -2298, -4634, -7632?\n\"Answer: -331*l**2 - 19*l + 738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, g: 1, q: 2, k: 1, n: 1, b: 1}. What is prob of sequence bn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*n**4 + 134*n**2 + 24963 with respect to n.\nAnswer: 184*n**3 + 268*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 660 - 660. Is 7\/31 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.660881ns in microseconds?\nAnswer: 0.002660881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.03, -97, 0, -1.246, -5 in descending order.\nAnswer: 0.03, 0, -0.3, -1.246, -5, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 + 6 = 0. Sort -2\/3, v, -2\/13 in descending order.\nAnswer: -2\/13, -2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 608226553 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 21 = -b, -5*v = -2*b + 15 + 18. Solve 5*i + 15 = -k, 0 = 2*i - b*i - 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 7\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 1)*(-4)\/(-6). Let k be 6\/t + (1 - -1). Suppose 5 = o + 2*r, 0 = 2*o + k*r + 6 - 18. What is the lowest common multiple of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 - 554*s - 1528560.\nAnswer: (s - 1544)*(s + 990)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(17) + 0)*-2)**2 - sqrt(136)\/(sqrt(32)\/(sqrt(4)*-2 + sqrt(4))))*1.\nAnswer: sqrt(17) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, t: 3}. What is prob of picking 4 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -7*a**4\/6 - 4*a. Let l(v) = 78*v**2 - 156*v**2 + 76*v**2. What is n(l(d))?\nAnswer: -56*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqkkyyrkroryyrrk. Give prob of sequence qyyk.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -46, 0.3, 139, -1\/2, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -7. Let c be (-13 + 21)*p\/(-4). Are c and -2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, -0.21, 1426, -9\/4 in decreasing order.\nAnswer: 1426, -0.21, -9\/4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from irbibrbvvbbbbrbr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a century?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -137*c + 2*c**2 - 128*c + 13*c**2 + 2*c**3 + 267*c in the form x*c**3 + q + o*c + g*c**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**11*((a\/a**(-6))\/a)\/a*a**10\/(a**(-2)\/a))**12)**12 assuming a is positive.\nAnswer: a**4176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 3780.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 2, 14, 28, 44?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46031 at least 46031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -24 + 0*l**3 + 1\/8*l**4 + 0*l - 7\/30*l**5 + l**2. Give j(2).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, -76, -189, -320, -475?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 16*j - 3*j. What is the lowest common multiple of j and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 586171 and 182069.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**4 - l**3*v + 3*l**2 + 268*v wrt l.\nAnswer: -8*l**3 - 3*l**2*v + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 2*v**5\/65 - 5*v**4\/26 + 14*v**3\/39 - 3*v**2\/13 + 60. Factor w(a).\nAnswer: 2*a*(a - 3)*(a - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = 201*j - 213*j. Calculate the greatest common divisor of j and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8539*v - 4315?\nAnswer: 8539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.314 (b) 2\/19 (c) -1\/3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(800) + 2) + ((sqrt(800) + -1*sqrt(800))*5 + sqrt(800))**2.\nAnswer: 60*sqrt(2) + 806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (154\/396)\/((-42)\/(-18)). Which is the closest to -1? (a) 1.1 (b) -2 (c) w (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = j - 20. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1114842 or -4.4?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.219 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**8\/2240 + p**7\/280 + p**6\/120 + 7*p**3\/3 - p**2 + 16*p + 2. Let b(i) be the second derivative of n(i). Factor b(z).\nAnswer: 3*z**2*(z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 (base 10) in base 6?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 605?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44980758?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**3 + 4*i**2 - 3*i + 2. Let d be h(2). Suppose 0 = -z - 3*s - 3 + 12, s = 0. Let b = z + d. Solve 3*v + k - 7 = 0, 0 = b*v + 2*k - 5*k - 7 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5016*x**2 + 20075*x - 6. Determine r(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*s = -m - 8, 5*s = 5*m - 5. Let i(x) = 4*x**2 + 3*x - 2. Let r(w) be the first derivative of -w**3 - 3*w**2\/2 + 2*w - 30. Give s*r(t) - 2*i(t).\nAnswer: t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-6))\/((-9)\/(-54)). Calculate the lowest common multiple of 11 + 8 + 2\/n and 136.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56889512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppxppyypyypyyyppyp. Give prob of picking 1 y and 1 x.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) 0.5 (c) 1\/15 (d) -3 (e) -7\/2 (f) -23 (g) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -29. Suppose y*d + 6*v - 20 = v, 0 = -5*d + 3*v + 44. Solve 0 = 3*t - 6*t + 4*a + d, -4*a + 3 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11902)\/(-6) + 2 - 2\/(-6).\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46203338.\nAnswer: 2, 23101669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -14 - (-195 + (7 - 5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n**3 + 12*n**3 + 13*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9*i - 15689 = 3*a, 3*a + 15739 = 5*i. Round a to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2025.319612 rounded to the nearest ten?\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235 + 30*c**3 - 36*c**3 + 7*c**3.\nAnswer: c**3 + 235","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 17*c**2 + 136*c - 49. Determine l(-23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 6, 5*i + 8*c = 4*c + 297. Suppose 12 = 65*r - i*r. Factor 0 + 1\/6*f**4 - 1\/6*f - 1\/6*f**2 + 1\/6*f**r.\nAnswer: f*(f - 1)*(f + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*m - 3*m = -59, 4*m + 82 = 5*b. Let o be (-4)\/6*7\/b. What is the nearest to o in -3, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657767011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6993.72km?\nAnswer: 6993720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 1. Let h(j) = 3*j**2 + j - 3. Let q(r) = r**2 + 6*r - 5. Let i be q(-7). Let c = i - 1. Let d be 5\/5*c\/1. Calculate d*h(f) + 4*o(f).\nAnswer: -f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.590389 rounded to two dps?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5 + 49316*g**4\/3 + 280040*g**3\/3 - 1069508*g**2 + 2122122*g - 592200 = 0. Calculate g.\nAnswer: -12, 1\/3, 3, 8225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1350578403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.1 from 0.04581.\nAnswer: -2.05419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 230\/7, 4\/13, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a = -572 - 625. Let r = a + 213. Suppose -4*w + r = -704. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 5)*(-2170*q**2 - 2 - 231*q**3 + 2170*q**2).\nAnswer: -462*q**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000386 rounded to seven decimal places?\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 3*n + 24 = 0, -10*f + 13*n - 113 + 18 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -7*s + 108. Let c be d(14). What is the highest common factor of 430 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-153) - 32\/(-17)) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-109)\/(-133) + (-62)\/589?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 3*v + 13 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -2, 3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7611 and 457305.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 178 and 399.\nAnswer: 71022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -100259.31 rounded to the nearest one hundred?\nAnswer: -100300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5 = y, -3*y - 6 = -4*y + 3*k. Let o(a) = a**2 - 7*a - 15. Let p be o(7). Let z be (y\/p)\/((-3)\/(-21)). Is z smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -51, -60, -71, -84, -99?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 241*3.6\nAnswer: 867.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*f**3*x - 12*f**3 + 888*f**2*x wrt f?\nAnswer: -258*x - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79401?\nAnswer: 3, 7, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 89, 233, 419, 641, 893, 1169, 1463?\nAnswer: 1769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1119, -480, 577, 2046, 3921, 6196, 8865?\nAnswer: 11922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqthrdhqz. Give prob of sequence dtz.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/26730 and 31\/486.\nAnswer: 26730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/50 + 1778\/350 - -152 is divided by 85.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191\/2 - 95. Put -28, -4, n in decreasing order.\nAnswer: n, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-4\/7))**(-1)*u**(-16)\/(u*(u*u\/u**4)\/u) assuming u is positive.\nAnswer: u**(-109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 372 = 4*b - 3*k, -2*b - k = -187. Let u = b + -64. What is the remainder when 58 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -647852, -1295696, -1943540?\n\"Answer: -647844*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (-45 - -115) + -31?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/((-3)\/6). Let x be -3 - ((-12)\/22 + (-5428)\/3036). What is the closest to x in 1, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -3. Let h = 48 + a. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18910, 19005, 19100, 19195, 19290, 19385?\nAnswer: 19480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -758940365 divided by 151788073\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from vvivvviiivivvivi.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/3960*-352*150\/6?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 6*f + 69, 2*b = -340*f + 338*f - 14 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**3 - 2999*p**2 + 3996*p - 8013. Calculate q(-1001).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 13 = 2. Let h = -6150 + 6151. Sort h, j, -4, 5 in increasing order.\nAnswer: j, -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + sqrt(50) + 0 - (1 + sqrt(32)))**2 + -5 + -2 + -1 + sqrt(8)\/sqrt(4) + 6*sqrt(32))*3.\nAnswer: 3 + 63*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(0 + sqrt(432)) + sqrt(432)*2 + -5 + -3)*3)**2.\nAnswer: 3456*sqrt(3) + 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-29)\/12 - (-9)\/(-36))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a74 + -77?\nAnswer: 49b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 5*i + 6424*i - 5251 - 6293 + 4359*i + 366*i**2 - 11520.\nAnswer: 3*(i - 2)*(i + 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 2.01, 150?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590688080 is divided by 8031.\nAnswer: 8030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1743518*n**3 - 16*n + 85668 wrt n?\nAnswer: -10461108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 12*h + 5. Let j be p(11). Let s = j - -1. Let u = 0.16 + 0.04. Which is the nearest to u? (a) -1 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llol when four letters picked without replacement from {o: 6, l: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 - -35. Let t(z) = z + 13. Let r be t(i). Find the second derivative of 4*d - 11*d**3 + d + 0*d**3 + 28*d**r wrt d.\nAnswer: 102*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5\/8, -3\/43, -2\/345, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.71 and -0.4.\nAnswer: -0.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (400\/24)\/((-11)\/(-16401)). Calculate the highest common factor of 25 and q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-1) - -6 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6402057.4 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + z**2 - 4*z - 1. Suppose 0 = -2*p + 3 - 9. Calculate c(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 178*p - 174. Let u be q(1). Let m be (595\/570)\/17 + u\/38. Let -2\/3*i**2 - 1\/3 - m*i**3 - 5\/6*i = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*l - c - 5, 3*l = 5*c + 19. Let v be l\/(-1) + -58 + 9. Let m = v - -81. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i - 20 = 0. Suppose -i*p + p = -12. Solve -3*n + 3*r - p = 0, -7*r = -2*r + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5675398 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1532 + 10726\/7. Let z = 0.5 + -1. What is the biggest value in t, z, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4*t - 10*t + 0*t.\nAnswer: -14*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -72*k + 1. Let c = -10 + 8. Is s(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1*(-1098)\/1952.\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/8 + 14253*r\/2 - 28505\/2.\nAnswer: -(r - 57010)*(r - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 - (-2)\/(-6). Suppose 2*a - 12 = d, 5*d = -s*a - a + 28. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-4641)\/1428*-2*1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 26*n = 144*n - 24840. Solve -176*r + n*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 28*x**2 + 1173*x - 70. Calculate q(-51).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 - ((10 + -3 - -16) + -12)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (7 - -6)) + 2 + -4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3430 and 487.\nAnswer: -1670410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-5)\/(-2))\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5 = -5*x, 10*o - 7*o - 9 = -3*x. Suppose 3*q - 3*k = -18, -2*q + 0*q - 2*k = -8. Sort 4, o, q in ascending order.\nAnswer: q, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 92975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-10)*-2*(26\/(-8))\/(-13)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22163150 or -22163096?\nAnswer: -22163096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 - -0.2. Let s = o + 17. Let k = 21 - s. Which is the second biggest value? (a) 17 (b) 5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 60*z**2 + 25*z + 100. Is y(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1124?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.28582422 rounded to 3 decimal places?\nAnswer: -14.286","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 h when three letters picked without replacement from haawwahaaaa?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6124109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30591 and 83739.\nAnswer: 8290161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 30*o + 2. Let q = -94 - -95. What is the remainder when y(q) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 1, -2\/11, -0.04, 10, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.01 + -0.99. Let b = 1.000005 + c. What is b rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.885 + 2.185. Which is the nearest to -1\/4? (a) 0 (b) s (c) -4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -340 divided by 284868?\nAnswer: -85\/71217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 10*v - 80. Calculate z(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -7615720?\nAnswer: 7615724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -318142839.442?\nAnswer: 318142842.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495 is divided by 345?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 0 + 0*f**3 - 15*f - 9\/2*f**2 + 0*f**4 - 11\/30*f**6 + 0*f**5. What is the first derivative of s(l) wrt l?\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, a: 4, m: 2, u: 6, k: 4, o: 1}. What is prob of picking 1 m and 1 o?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -3 - 3\/10*y**5 + 3*y - 9\/8*y**4 + 9\/4*y**2 - 1\/2*y**3. Solve f(r) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 9. Which is the nearest to g? (a) -4 (b) 6 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -14244*f + 99681. Determine w(7).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2122 and 185675.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244*f + 8 - 8 - 242*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -121062 equal to -121061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 4*x + 15 = -3 - 10 + 16, -x = 4*f - 24 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - f = 5177 - 5237, -5*p + 4*f - 245 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 2\/15 (c) 7\/5 (d) 62 (e) -0.3 (f) -623\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.0342 + 0.1002. Round p to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -776, -2433, -4640, -7397, -10704, -14561, -18968?\n\"Answer: -275*i**2 - 832*i + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -27680\/103 greater than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 651929 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 33303*-0.4\nAnswer: -13321.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3)*o**3)\/(o**(-3\/10)\/o**3))\/(((o\/o**1*o)\/o)**17*o**(2\/7)*o**(1\/6)*o*o) assuming o is positive.\nAnswer: o**(89\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10564586 is divided by 213.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 6*u - 2*u + (-u - 6*u + 6*u)*(3 - 4 + 3) + u + 4*u - 4*u in the form k + b*u and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:28 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*n + 46*n = -132 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5 + 4*-1*(-4*sqrt(832) + sqrt(832))*-1)**2 + -5).\nAnswer: -239656 - 1920*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zazazzzzza?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*a + 46, p + 8 = 2*p + a. What is the second derivative of -7 - p*b + 8*b**4 + 7 wrt b?\nAnswer: 96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + -2 + sqrt(847)*-3 + -3*-4*-1*sqrt(847))*6)**2.\nAnswer: 95040*sqrt(7) + 27443376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -11 + 62 + -12 - 4) + 12 + -4\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/12022682 and -85\/27480416.\nAnswer: 192362912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1445 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57156406?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {z: 2, q: 2, x: 3, d: 2, p: 1, h: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 f, and 1 j when three letters picked without replacement from fffsjcsjtffj.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*s**2 + 0*s**2 + 26*s + 0*s**2 - 9*s**2 + 154*s to the form z*s + q + b*s**2 and give z.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxponcux. Give prob of sequence oxpx.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4749871 + 4705427 = 106*c - 54074658. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-52030)\/(-198) + ((-2)\/(-9))\/1. Suppose 2*w + y = 143. Let x = w - -74. Solve 6*o - 5*c + x = 2*o, -c = -2*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(147))*-3*-4*-5.\nAnswer: -420*sqrt(3) - 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70 - 8*f**2 + 68 + 41*f**3 - 4*f - 10*f**3 + 2*f to l*f**2 + t*f**3 + u + c*f and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34363.\nAnswer: 7, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 52*n + 24 + 36*n - 77*n. Is y(21) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a**3 + 2*a**2 - a - 1. Let r be u(-1). Solve -3*f = -0*f + r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -2*p**3\/39 + 11*p**2\/13 + 24*p\/13 + 104. What is r in a(r) = 0?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-12))\/(((-11 - -6) + 2)\/(-8)). What is the nearest to -8 in -2\/17, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h**2 + 1. Let f be l(-1). Suppose 5*n - 454 + 414 = 0. Let g(c) = n*c + 8*c - f*c. Let w(b) = -3*b**2. What is w(g(q))?\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23397.92mm to centimeters.\nAnswer: 2339.792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.55 + 3.65. Let o = 3.10062 - m. Round o to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = -p - 15, 0 = -5*u - 25. Solve 4*f = -p*z - 21, 16 = -4*z - 2*f - f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -207, -213, -239, -291, -375, -497, -663?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 138.773 - -6.227. Which is smaller: 0.34 or m?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121 - -144113543?\nAnswer: 144113422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34574811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (105 - (25 + 24)) + (8 - (7 + -5))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 99 - 253. What is the least common multiple of u and 66?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of 737*c**4\/4 - c**2 + 1633*c - 962. What is the second derivative of y(x) wrt x?\nAnswer: 4422*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*3\/(-6)*5. Suppose h*w = -6 + 16. Does 17 divide (61\/w)\/(5\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -4. Let z = -19349\/6 - -3246. Find the common denominator of z and (b\/(-9))\/(3\/(-342)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10844142 divided by -6\nAnswer: -1807357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 20563347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 42874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) -12.2 (c) -3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - 4*l + 1. Let i be m(4). Suppose -5*r = 2*a - i - 2, 2*r + 10 = 2*a. Let h be (1 - r)*3\/(-9). Is h at least 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4\/5, -1, 3, 1\/4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0368 take away -10?\nAnswer: 10.0368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j**2 + 113*j + 666. What is the lowest common multiple of 420 and c(-6)?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34248665.\nAnswer: 5, 11, 47, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4 - 3818*m**3 + 7644*m**2 + 15272*m - 30560 = 0.\nAnswer: -3820, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000146 rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14766, -29540, -44316, -59094, -73874?\nAnswer: -88656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 886500450.\nAnswer: 2, 3, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 s when three letters picked without replacement from sssosyoo.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 - 37.95. Let a = s - 3.75. Round a to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -5\/6*h**3 - 13*h - 1 + 0*h**2. Let a(o) = 2*o**2. What is a(w(q))?\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 14. Let u = -6 - c. Suppose 0 = -i + u*h + 2, 0 = -4*i + 2*h - h + 27. Solve 0 = 3*p - 4*d - 0*d - i, 0 = p + 4*d + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11903, 23800, 35691, 47576?\n\"Answer: -3*f**2 + 11906*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -0.39 (c) -3\/2 (d) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1709417.423 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 9:38 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51965 - 51965 - 16558*s to the form z*s + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 4*d + 0*d)*(-2*d**2 - 4 + 4) + 21*d**3 - 210*d**2 + 210*d**2.\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3534494 and 3807?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 301 times -3\nAnswer: -903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298301642 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 4*o - 6. Let z(f) = -14*f + 232. Let d be z(14). Let a = -32 + -9. Let b = d + a. What is x(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0152 to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1368088874 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.11220746*-38\nAnswer: 4.26388348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000024937 rounded to 7 decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/7)\/(17\/(-119)). What is the third derivative of -10*j**2 + 3*j**r - 2*j**2 - 2*j**3 wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19560*396\nAnswer: -7745760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 3:01 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 40*k**2 + 9. Let s(c) = 10*c**2 - 2. Suppose 0 = -14*b + 11*b - 2*v + 21, 36 = 3*b - 3*v. What is b*s(a) + 2*g(a)?\nAnswer: 2*a**3 + 10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -821 + 32*f + 821.\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*f + 23400 - 22707 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**3 + 1026725*h**5 + 3 + 11*h**3 + 478*h**2 - 1026638*h**5 wrt h.\nAnswer: 5220*h**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s - 5 + s + 3 + 1. Let r be -1*(-13 - (-84)\/6). Let b = -27 - -30. Let f(h) = -h. Give b*f(x) + r*w(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -2)*6\/9. Suppose -3*x = -2*v - 9, 4*v + x - p = 3*x. Suppose 450*u = 443*u + 21. Solve 2*f + 14 = v*m, 1 = -3*m - f + u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 6*t - 7. Suppose 10 = -4*z + 2*z + 4*v, -2*z - t*v = -30. Solve 8*h - 5*h - 13 = 2*j, -z*j = -4*h + 15 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 971*f + 2. Let a(i) = -486*i - 1. What is -5*a(s) - 3*k(s)?\nAnswer: -483*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of x**7\/168 - 5*x**6\/6 + 50*x**5 - 5000*x**4\/3 + 5*x**3\/3 - 31. Let r(t) be the third derivative of c(t). Factor r(j).\nAnswer: 5*(j - 20)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2684*k**2*l**2 - k*l - 1153*l**2 wrt k.\nAnswer: -5368*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 3*f**2 - 21*f - 9. Give d(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + (6 + 534\/(-36))\/(7\/(-42))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + h**2 - h + 3. Let j(p) = 2*p**3 - p**2 + 2*p - 5. Let q(c) = 3*j(c) + 5*r(c). Let m be q(-2). What is the tens digit of (-3)\/m*(22 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 3*y**2 - 18 - 5 + 7*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -86327 bigger than -87062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-1\/3))**(16\/7))**(-16\/5))**19 assuming y is positive.\nAnswer: y**(4864\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j + 9 = -23 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0147 - 1707191.74.\nAnswer: -1707191.7547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f - 176. Let o(s) = -s**2. Calculate o(q(w)).\nAnswer: -4*w**2 - 704*w - 30976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2978 divided by 3?\nAnswer: -2978\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1297 = -8*g + 3903. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2.03. What is the nearest to -1 in -2, 1, h, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -42 + 24 + 18 + 3*a**2. Let c(l) = 36*l**2. What is c(o(w))?\nAnswer: 324*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89298 is divided by 44273?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03691 + 0.16309. What is the closest to 0.1 in -3, i, 30, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 16*d**2 + 3*d + 53. Let k be q(-16). What is the remainder when 44 is divided by (-2)\/(-11) - (k - (-720)\/(-33))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1 = -j, -1479*d + 1483*d + 4*j = -20. Let v(g) = -80*g**3 + g**2 + g - 2. Determine v(d).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1368 and 285?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 562 + (-6 - -10)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 15*s + 24. Let v be z(7). Let b be 1\/((12\/(-393))\/4). Let y = v - b. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 - 119 = 5*a. Factor 3*b**2 - 2*b**2 + 7*b**2 + 40*b - a*b + 33*b.\nAnswer: 4*b*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q - 12 = 25*q. Which is the nearest to -1? (a) 0 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2783562, -5567127, -8350692?\nAnswer: -11134257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 940136485 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, -53, -38, -19?\n\"Answer: 2*x**2 + 5*x - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2509 + 2509 + 126*m - 24*m**3.\nAnswer: -24*m**3 + 126*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75.9 - 75.90313. Let p = 0.0078 + h. What is p rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 349096 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (112 - 0) + -2 + (-6 - (23 + -40))\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12795295 and 430?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25385591*x**4 + 31268846*x?\nAnswer: -304627092*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + a = 5*n - 703, -5*n + 707 = 2*a. Is 40 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 5*i - 3. Is t(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b6 (base 14) in base 6?\nAnswer: -1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-7 - 0) - ((-69 - -39) + 26).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205955?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 11*x - 10*x - 86, -4*n + 94 = -3*x. Solve n*d = 20*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2 - 22*q - 35. Let g be f(13). Suppose -g*v + 2074 = -107559. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 8*c - 57. Let g be i(7). Put 1, 10, g, -3 in ascending order.\nAnswer: -3, g, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 51\/(-18))*108\/120?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 139 - 119. Suppose g*z + 36 = -44. Sort 10, 0, -5, z in decreasing order.\nAnswer: 10, 0, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51606 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**3 - 16*w**2 + 10*w - 16. Let y be r(8). Which is smaller: y or 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42043947 to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*j + 101, 20 = -4*j + 8. Suppose 4*t - n - d = 0, -2*n = -5*t - 45 + 187. Let u = 48 + -33. What is the remainder when t is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2300293?\nAnswer: 31, 74203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/679 and 38\/2534707.\nAnswer: 2534707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 22 = -12*n + 14*n, -5*n + q + 51 = 0. Let p be ((-1)\/7)\/((-2)\/n) - 1. What is the third smallest value in 3\/5, -0.5, -0.51, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 343 + -343. Let p be ((-8)\/(-66) + m)*(-60)\/40. Sort p, -4, -0.4, -5.\nAnswer: -5, -4, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2137, 2551, 3555, 5443, 8509, 13047?\n\"Answer: 49*h**3 + h**2 + 68*h + 2019","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1324 and 58506236.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/1 - (-5 - 4). Suppose -5*g - x - 5 = 0. What are the prime factors of g - (1 - (-3 - -29))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 5*x + 3. Let q be w(-3). Let l be (2\/q)\/((-4)\/66). Let c = 23 - l. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 457*l**4*s - 2*l*s - 2*l + 86*s + 2 wrt l.\nAnswer: 5484*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 11:41 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20314046 is divided by 20313962?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 449 = -m - 2*n, 2*n + 1846 = 4*m. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from ntttnntntttn?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-16)\/5)\/((-2)\/15). Let w = 5 + u. Let p = 49 - w. What is the smallest common multiple of 16 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 11. Let u be h(-16). Suppose -2 = o - u. Solve -4*n = -o*c - 14, 3*n + 0 - 23 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 205, 191, 177, 163, 149?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1945286 less than -1945286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 7*i - 26. Let f be b(10). Suppose 2*y = -v + 3 + 42, -5*y = -f*v - 119. Sort y, -4, -1\/9 in descending order.\nAnswer: y, -1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c145d4 (base 15) to base 16.\nAnswer: 8c0b5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 751.1347ml to litres.\nAnswer: 0.7511347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 - 2*x**3 + 3*x**3)*(429*x**2 - 72*x**2 + 106*x**2).\nAnswer: 463*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 + -4 + 0 + 2 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/(w**(-18)*w)*(w\/w**(-4)*w)\/w*(w\/(w\/w**(7\/4)))**40 assuming w is positive.\nAnswer: w**94","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6441652.6 to the nearest 100000.\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 446361581234 - -1.3?\nAnswer: 446361581235.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 2573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49*a**5 - 27*a**5 - 60*a**5 - 130*a**2 - 100*a**5 wrt a?\nAnswer: -8280*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000405 rounded to seven decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(35*9\/45)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*w + 2, -1 = 3*q + 5*w - 6. Suppose q*j - 2*j + 4 = 0. Solve -5*o = 2*f + 2*f + 20, -j*o + 25 = -5*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of f**5\/60 + 3*f**2. Let i be m(1). Let v be (-1 - 0)*2\/(-9). Is i at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -53208\/19 and -2801 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**2. Let s(r) = 270*r**2 + 522. Give s(n(l)).\nAnswer: 2430*l**4 + 522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 7*q + 21 = 0, -2*j + 688899*q + 3 = 688898*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2436*o**3 - 2922*o**3 - 5 + 1 + 1034*o**3 - 1.\nAnswer: -4324*o**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57 + 108 + 76*q - 64 - 17*q to o + g*q and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 164*h**3\/3 - 4738*h. Let m(f) = -7*f**2. What is m(u(p))?\nAnswer: -753088*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2. Suppose -24*n = 137 + 535. Let j(i) = -280*i**2 + 28. Let r(u) = 37*u**2 - 3 + 6*u**2 - 12*u**2. Let g(y) = n*r(y) - 3*j(y). Give d(g(z)).\nAnswer: -1568*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-231)\/168 - 194845\/(-140600).\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/(-123))\/(((-2)\/3)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -11. Let h be 126\/(-35) - u\/(-10). Suppose -13*z + 40 = 24*z + 3*z. Put z, 5, -5, h in decreasing order.\nAnswer: 5, z, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 60295129 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-3*((sqrt(720) - (-1 + sqrt(720) - sqrt(720))) + sqrt(720)) + 0 + (sqrt(720) - (sqrt(720) + (sqrt(720) - sqrt(720)*5))) + -4))**2.\nAnswer: 336*sqrt(5) + 2929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32850 and 292?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 201*y + 34*y + 401145. Is -1706 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5855, -46893, -158285, -375209, -732843, -1266365, -2010953?\nAnswer: -3001785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*n**2 - 2*n**2 + 2*n**2 - 10*n**2 - 3*n as g*n + d + b*n**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1173584.34 to the nearest 1000.\nAnswer: -1174000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.58, -1\/3, -422, -17\/14?\nAnswer: -17\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 421 + 10?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**7\/945 + d**6\/540 - d**5\/270 - d**4\/108 - 3*d**2\/2 - 3. Let g(u) be the second derivative of f(u). Factor g(s).\nAnswer: 2*s*(s - 1)*(s + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 5. Let n be s(0). Suppose -2*o + 23 = n*m, 12 + 3 = 3*m. Let b(t) = 13*t**2 - 2*t - 2. Is 2 a factor of b(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -176598*y**4 - 81*y**3 + 8262095*y**2 - 10 wrt y.\nAnswer: -4238352*y - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/2563 and 67\/2330.\nAnswer: 25630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -283*l**4\/4 - 37*l**2. Let q(v) = -2*v. Calculate r(q(f)).\nAnswer: 3396*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/38650991?\nAnswer: 14\/38650991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*44\/891*27\/9.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 975825.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -3\/6050, 1\/9, 1, -0.2, -5, -1\/28?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-10))\/3)\/((-2)\/1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 228 and 108?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5831592042?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -58*i + 6 + 57*i + 1 + 0. Determine z(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 + 3*l + 4. Let o(r) = 7*r**2 + 6*r + 8. Let t(i) = 4*o(i) - 9*v(i). Let x be t(-2). List the prime factors of (43 - 4)\/((-9)\/x + 2).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 4*a**2 + 3*a. Let z be f(-2). Suppose 5 = -z*m - 3*m. Let y be 1*(2 + (m - 2)). Which is bigger: y or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7. Let i be (d + 3)*(-4)\/(-6). Let w(o) = 1 + 1 - i - o. Let u(a) = a**2. Calculate w(u(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 3761*q - 3756*q - 5*t, -2*q = -3*t + 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(4\/((-16)\/30)). Suppose 140 = 118*p - 138*p. Sort p, -0.1, 0.4, h in descending order.\nAnswer: 0.4, -0.1, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 64*w. Let h(c) = -c. What is p(h(g))?\nAnswer: -64*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 546595 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -h + 357. What is the remainder when h is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1408 + 2873 - 1404 - 2*r**2 - 129*r + 0*r**2 to n*r + z*r**2 + f and give n.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 620 and 28456760.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.44 - -0.36. Round u to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 7*m + 40 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, c: 1, b: 2, h: 2}. Give prob of picking 2 b, 1 h, and 1 c.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/(-36)*(5 + -15) + (-122)\/549. Let y(t) be the first derivative of -2*t**3 - 4*t - j*t**2 - 1\/4*t**4 + 9. Find o, given that y(o) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (3\/(-2) + (-11)\/(-2)). Let b(s) = s**2 + 7*s. Determine b(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + -48 - (13 - (-4 + -5)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11.4? (a) 2\/13 (b) 0.058 (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 + 22*w**3 + 100 - 17*w**3 + 31*w.\nAnswer: 5*w**3 + 31*w + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 3647003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3555085253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51360b (base 15) to base 4.\nAnswer: 32232020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76051605 and 15?\nAnswer: 76051605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2\/37))**(-8\/15)*(s*s**41*s)\/(s\/(s*s*s\/((s\/s**(-12))\/s)*s)) assuming s is positive.\nAnswer: s**(6186\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/33912 and -49\/20.\nAnswer: 169560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 401 - 221. Let d be 1\/(-15) - 24\/w. Which is greater: -2\/67 or d?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38443 or 38442?\nAnswer: 38443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*o + 135*o - 5*z - 1141 = 0, -3*z - 571 = -o. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 13. Let c(u) = 2*u**2 + 3 + 1 - 3*u**2 + 5*u. Let d be c(5). Solve 2*l + d - 2 = m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.087\nAnswer: -0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1087*m + 7395*m - 4540*m + 11536*m.\nAnswer: 15478*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 48 = -4*q, 2*q = 3*b - 4 + 13. Let d(f) = 9 - q + f. Let j(s) = -13*s + 2. Determine d(j(y)).\nAnswer: -13*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1959 - 266. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - -1 - (-2 - (4 - 1)). Solve n*a - 10 = a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/15 + 152\/10. Let h be 6\/((g\/2)\/5). Let f(v) = 2*v**2 - 4*v - 5. What is the units digit of f(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 7204?\nAnswer: 36020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28665 + -28480. Solve -5*u - 2*o + 25 = 0, 184*o = 2*u + z*o - 11 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 7*p - 7. Let f be t(-5). Suppose 0 = -f*i + 14 + 82. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*a**5\/4 - 3*a**4\/2 - 69*a**3\/4 + 6*a**2 + 9*a = 0.\nAnswer: -2, -3\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 15) in base 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6544*f + 6536. Determine g(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*b - 26*b + 32*b**3 + 1 + 2*b**2 + 85*b - 40*b in the form i*b**2 + l*b**3 + a + f*b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4)\/x)\/x*x)**(-2\/5)*(x**0*x)\/((x*x**(-7))\/x)*((x\/(x\/x**(1\/2)*x))**11)**(6\/13) assuming x is positive.\nAnswer: x**(749\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, 7\/4, 2.5?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -397667 divided by 8461\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -223.99 + 224. Is 5\/7 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184051195 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q - 2. Let o be p(-2). Let m be -16*((-12)\/(-8) - o). Let l = 15 - m. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -245*o**4 - 242*o**2 + 93*o**4 - 2 + 156*o**4 in the form c + b*o**4 + l*o + i*o**3 + u*o**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + z**2 + 13*z - 13. Calculate w(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**2 - 17*a + 62. Let g be k(7). Let l = 1627 + g. What are the prime factors of l?\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m - 2*h = 58, -1756 = 5*m + 3*h - 885 - 888 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 11*x + 8. Calculate b(-13).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 11)*((-6 - -16) + 4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - j + 12219. Calculate p(110).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 38 = 3. Suppose 2*s = x - p, -5*s - 7 = -2. What is x rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-502 - 3*c + 460 + c)*(-1 - 4 + 3)*(-50*c - 21*c + 94*c)*(-5 + 2 + 5) to the form h*c + x + f*c**2 and give f.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1278 or -1277?\nAnswer: -1277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432510, -432460, -432410, -432360, -432310, -432260?\nAnswer: -432210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.3 + 11. Let v be (6\/(-126)*-6)\/(6\/(-14)). Let u = 19\/5 - 579\/155. Which is the nearest to u? (a) g (b) v (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 + m. Let k(o) = -14*o**2 + 4*o - 63. Calculate 4*d(p) - k(p).\nAnswer: 6*p**2 + 63","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 0 - (-5 + (-4 - -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -0.03876.\nAnswer: -6.96124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/5 + 173*x\/5 + 2652\/5 = 0 for x.\nAnswer: -156, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 7896372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00619604 to 5 dps.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-7) + -8 + 0. Let q = c + 3. Let y(u) = -8*u + 2. Is y(q) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/11 + 106*g**2\/11 - 448*g\/11 + 456\/11.\nAnswer: 2*(g - 2)**2*(g + 57)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -790 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 824437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 378973*a + 2 - 4.\nAnswer: -378973*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 5) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108396265?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ua when two letters picked without replacement from ulupa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*q**3 + 45*q - 259*q**3 + 74*q + 133*q**3.\nAnswer: -q**3 + 119*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from ooocoaoooocooa?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 17 = 4*o + 9, 3*o = 2*c - 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0831783 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*i - 18 = 0. Sort 1, 4, i in increasing order.\nAnswer: i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*h**2 - 15*h**2 - 2*h**3 + 4 + 2*h**4 - 7 as i*h + r + w*h**4 + p*h**2 + c*h**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 78196, 158102, 238010, 317920, 397832?\n\"Answer: r**2 + 79903*r - 1708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12205 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2 - 19*b + 27. Let f(j) = 8*j**2 - 19*j + 28. Let n(z) = 5*f(z) - 6*m(z). Let l be n(8). Solve -2*d = 4*o - 14, 0*o + o + d = l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 + 0*z**2 - 2*z**2)*(2*z**2 - 2*z**2 - z**3) - 2*z**5 + 0*z**4 + 0*z**4 + 2 - 2 - z**5.\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -412 - -417. Let u(a) = 8*a**2 + 10*a + 20. What are the prime factors of u(n)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -503145133 (base 6) to base 12\nAnswer: -2a451a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -780, -1611, -2440, -3267, -4092, -4915, -5736?\nAnswer: -6555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((19647\/(-222))\/(-177))\/((-4)\/160)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4900 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2 - 5. Let s(v) = 5*v**2 - 2. Let o(f) = -5*s(f) + 2*y(f). Let t(u) = -2*u. What is o(t(q))?\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1932 - 1372. Let d(x) = x - 3*x + 3*x + 563 - 6*x - g. Calculate d(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 6*g**2 - 7*g - 1. Let m be q(7). Let b(w) = 3*w**2 - 1. Let c be b(m). Suppose 0 = c*d - 22. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 4*j - 2. Suppose 12 = 6*y - 12. Suppose 0 = -y*v + 14 + 22. Suppose v*c - 5*c + 16 = 0. What is z(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.12 + 5.12. Let f be 14\/6 + 6\/9. Let t(c) = c - 4. Let n be t(f). Put n, j, -1\/8 in descending order.\nAnswer: j, -1\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q**(-2\/3)*q*q*q)\/q*q)\/q*q*((q\/(q\/(q\/(q*q**(2\/7)*q*q*q))))\/q*q)\/q)\/(q*q\/(q\/q**(1\/2))*q)**39)**(-46) assuming q is positive.\nAnswer: q**(95105\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -411, -445, -531, -693, -955, -1341?\n\"Answer: -4*p**3 - 2*p**2 - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o**3 + 64*o**2 + 92*o + 23. Let l(u) = u**3 + 21*u**2 + 31*u + 8. Let z(i) = 2*d(i) - 7*l(i). Let j be z(20). Let x = j + 584. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 238 and 31304174.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/1317 and (-16)\/624 + (-3836)\/8918?\nAnswer: 64533","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9994, -19982, -29970?\n\"Answer: -9988*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/(-25*66\/1650)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 = 11. Let z(x) = x**3 - 4*x**2 + x. Let u be z(y). Differentiate u - 5 - o + 0*o + 3*o with respect to o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/6 + 82\/4. Let z be d\/6*6\/2. Suppose 2*v = 4*i + 52, -5*i - 54 = -2*v - 0*i. What is the greatest common divisor of v and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujju when four letters picked without replacement from uqlyljlulqlljqjjj.\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.7877 - 0.2883926?\nAnswer: -26.0760926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3991, 3804, 3617, 3430?\n\"Answer: -187*t + 4178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*-1*sqrt(17) + (sqrt(136)*-2 + sqrt(136))\/sqrt(8)*-1.\nAnswer: 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 6 (b) 3\/2 (c) -36 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of 71*v**6\/60 + v**5\/30 - 124*v**3 + 408*v**2. Differentiate l(s) wrt s.\nAnswer: 426*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1945699, 1945780, 1945931, 1946164, 1946491, 1946924?\nAnswer: 1947475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211 - 11113003102?\nAnswer: -11113001231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = u + 70, 6*p = 7*p + 5*u - 7. Let z(k) = -k**2 + 3*k - 11. Let g be z(10). Let b = g - -165. What is the remainder when b is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, 1 a, and 1 p when four letters picked without replacement from {w: 1, q: 4, n: 1, j: 1, p: 3, a: 4}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h\/(h\/(h*h**5))))\/(h**0*h*h)*(h**0)**(-29\/5) assuming h is positive.\nAnswer: h**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 11. What is the smallest value in -4, 2\/17, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -16*n**3 - 5*n**2 - 10. Let p(g) = -8*g**3 - 3*g**2 - 5. Let m(s) = s**2 - 74*s - 1237. Let k be m(88). What is k*p(l) + 3*h(l)?\nAnswer: -8*l**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83825325 and 6822?\nAnswer: 3411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -0.1, -2\/3, 969483, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 4*h - 0*h + 4, 0 = -p + 5*h + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -1. Suppose 5*x - 2*u = 4*x + 15, x + 10 = -v*u. Solve -c = -x, w + 2*w - 22 = -5*c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 13*t - 7. Let z(m) = -m - 1. Let j(x) = u(x) - 2*z(x). Is j(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*(25\/(-10))\/5*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b5 (base 13) to base 6.\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -15. Let y be 0 + 20\/(-30) - 17\/(-3). Suppose 2*z - 25 = y*i, -z - 6*i + 2*i = -l. Solve -z = t + t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (14 + -2 + 1). Let n be (-8)\/(-20) + 34\/v. Sort -2, n, -4 in decreasing order.\nAnswer: -2, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 6113 + 537. Calculate the greatest common factor of l and 82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*q - 90*q**2 - 3\/2*q**3 = 0 for q.\nAnswer: -60, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7 < -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 - 2*y - 2. Give n(-3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 20*f + 28. What is n(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/87)\/(6420\/3852).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-2)\/((-6)\/(-111)). Let h be 6\/15 + c\/(-5). Suppose -2*t = 2*a - 5*t + h, -4*t = 5*a - 26. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (3 + -1 + -1 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*h**2*j**2 + 7*h**2*j*o*v + 2*h**2*j - 26*h*j**2*v - h*j*o*v - j**2*o + 2*j**2*v wrt o?\nAnswer: 7*h**2*j*v - h*j*v - j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 + 0*q**4 + 4*q**4 + (2 + 0 + 0)*(2*q - 1 + 1)*(5 - 5 + 3*q**3) + 0 + 0 + 2*q**4 + (2 - 1 + 0)*(23*q**4 - 18*q**4 + 56*q**4).\nAnswer: 76*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Let p be b\/4 - (-212)\/16. Suppose p*x - 16*x + 36 = 0. Solve 4*s - 6 = -z, 4*s - 5*z - x = -0*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyxjjxj. What is prob of picking 1 y and 2 j?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 145293 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2027626 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t + 5. Let c(a) = -a + 5. Let s be c(4). Let l(b) = -1. What is s*v(o) + 3*l(o)?\nAnswer: o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -8*s**2 - 14*s + 22. Let b(n) = n**2 + 2*n - 4. Let f(v) = 6*b(v) + z(v). Let i(w) = -w**3 + 3*w**2 + 3*w + 3. Calculate 3*f(h) + 2*i(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00031655 rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275*k**3 + 32120*k - 32120*k.\nAnswer: -275*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71, -67, -67, -77, -103, -151, -227?\n\"Answer: -s**3 + 4*s**2 - s - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -49\/3? (a) 0.3 (b) 1\/2 (c) 31 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 10 + (7 - 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -163*h**2 + 23*h + 23. Let l(g) = g**2. Calculate r(l(j)).\nAnswer: -163*j**4 + 23*j**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368366 is divided by 210.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/25)\/((-40)\/25)*(-8)\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 334 + -281. Does 25 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-7 - (-14 + 7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -35070307 times 0.5\nAnswer: -17535153.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21450597 rounded to the nearest one hundred thousand?\nAnswer: -21500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28623.7 - -0.7.\nAnswer: -28623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 388*r - 369*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*n = 0. Let o be (n - 0) + 13 + 2. What is the highest common divisor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -59884633408629.\nAnswer: -59884633408629.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/30*(-12)\/16?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.06149653261 take away 4?\nAnswer: -2.93850346739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6685 by 5.\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7654972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 times -3.146?\nAnswer: -5.9774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-132)\/(-21) - 2\/7. Let c = -13 - -1. Let r be c\/(k*(-5)\/40). What is the highest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/21, -2.1, 4, 10, 5, 27?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 335*c**2 - 173*c + 989. Is m(56) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7062 + 1843 = 5*k - r, 5*k + 4*r = 8880. Let x = 13 + -8. Suppose -x*h = -h - k. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0.5. Suppose 4*l - 5*w = -11, 4*w = 5*l - w + 10. What is the closest to l in -1, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 449 - 444. Which is the smallest value? (a) -2 (b) 48 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m**3 - 2*m**2 - 41*m**3 - 5844*m**4 + 74*m + 5846*m**4 = 0. What is m?\nAnswer: -1, 0, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**2 + 4*d - 4. Let v(j) = -j**2 - j + 1. Let t(g) = f(g) + 4*v(g). Let p(k) = -69*k**2 - k. Give t(p(l)).\nAnswer: 9522*l**4 + 276*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a second in milliseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -0.06 (b) -1 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 434 = 3*a, 188 = 2*a + 5*q - 90. Calculate the highest common divisor of a and 846.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**4\/13 - 4244*q**3\/13 + 63306*q**2\/13 - 202360*q\/13 + 185416\/13 = 0.\nAnswer: 2, 11, 2107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-70)\/15)\/(2\/(-15)). List the prime factors of s - (-2 - 8\/(-4)).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6856321 and 5168?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*s + 4, 5*q - 25 = -3*s - 2*s. Suppose s*d - d = 2. Let y = 828 - 828. Put y, d, 5 in ascending order.\nAnswer: y, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(832) + -2 + 5 - sqrt(832) - (-1 + 1 + sqrt(832) + sqrt(832)))**2*4.\nAnswer: -1920*sqrt(13) + 66740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o + 309. Let p = -74 - o. What is the remainder when p is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2186, -2186, -2178, -2156, -2114?\n\"Answer: r**3 - 2*r**2 - r - 2184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35932523 greater than 35932525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 18*r + 42. Calculate x(-13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3636.\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2 - 1. Suppose 6 = 3*y + 3. Let h be s(y). Let v(n) = n + 16. Does 3 divide v(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7215\/2220*592\/26?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -5*x - p + 314, 0 = -11*x + 4*p + 1014. What is the greatest common factor of x and 6721?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7730478 divided by 1288413?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, c: 2}. What is prob of sequence cp?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 d when three letters picked without replacement from aadydb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 3*y = -92, -4*y - 10 - 51 = 12*a + a + 80 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -914, -912, -910, -908, -906, -904?\n\"Answer: 2*p - 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 405, 5, 0, -5 in descending order.\nAnswer: 405, 5, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3f9 (base 16) to base 2.\nAnswer: -1111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109529, -219105, -328681, -438257, -547833, -657409?\nAnswer: -766985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 38, 60, 84, 110, 138?\n\"Answer: d**2 + 17*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 = 5*q, 6*n = 3*n - q + 12. Suppose -n*d + 15 = -45. Solve -d = -3*f - 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/27438 and 93\/1052.\nAnswer: 14432388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 + -4 - (-1823)\/(3 + -2). Suppose 18*t - 12*t - x = 0. Suppose 115 = -3*y + t. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1422.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -p - p, -5*p = -2*y - 14. Let u(o) = 0*o + y*o - 4*o - 6*o. Let k(s) = 2*s. What is k(u(q))?\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6030 + -6027. Let d(w) = 5*w**2 + 2*w + 3. Let u(a) = -9*a**2 - 3*a - 6. Determine p*u(s) + 5*d(s).\nAnswer: -2*s**2 + s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/7 + 1384*h\/7 - 1382\/7.\nAnswer: -2*(h - 691)*(h - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8872 or -8880?\nAnswer: -8880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 6*b**2 + 5*b**2. Let v(g) = 2*g**2 - 17*g - 15. Let u be v(10). Let i(x) = -15 - 11*x**2 + u - 42*x**2. Calculate j(i(z)).\nAnswer: -5618*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2180 = -5*t, 3*m + 2150 = 58*t - 53*t. Calculate the remainder when t is divided by 193.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 8*w + 25. Sort 5, w, 1, -3 in decreasing order.\nAnswer: 5, 1, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10068 and 5034.\nAnswer: 10068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 185671350.9ns to weeks.\nAnswer: 0.00000030699628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7380 and 43378?\nAnswer: 3904020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 106 - 3648*m + 3647*m + 88 as h + a*m and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 + 42 = 2*y. Is y a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4 + c**3\/3 + 3*c**2\/2 + 2*c + 18. Let p be n(-1). Solve -7 = -g - 4*d, p*g - 6*d + d = 7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + r = -r + 3636, 5*r = 4*x - 7317. What are the prime factors of x?\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323718778 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2647*f**3 + 3542*f + 10. Let u(i) = -2650*i**3 - 3543*i - 12. Let m(r) = -6*k(r) - 5*u(r). Find the second derivative of m(t) wrt t.\nAnswer: -15792*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71368271 to the power of 1\/3, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -28319776.17 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/138 and -101\/46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/15)\/m**(-4))\/(m**(-1\/8)*m*m**(-1\/5)) assuming m is positive.\nAnswer: m**(383\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 3\/2, -10, -59, 2\/97, -7 in increasing order.\nAnswer: -59, -10, -7, -4, 0, 2\/97, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u = -13*u + 54. Let o(x) = x**2 + 7*x - 16. Let s be o(u). Solve n = -s*n + 4*d + 13, -5*n - 4*d = 21 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 4*a + 2. Let r be b(-4). Let t = 1599\/20 + -80. Find the common denominator of t and 5\/r*82\/(-40).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 371619294?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 49 - 43. Suppose 0*t + 3*t - p = -q, t + q - 4 = 0. What is the second biggest value in 4\/5, t, 0.3, 0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5 - 7 = 0, -o + 3*g + 14 = 0. What is the third derivative of y**6 + 2*y**2 - y**o + 2*y**6 - y**6 wrt y?\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 101\/4? (a) 2\/5 (b) 0.3 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*z = 12, -2*z + 3 = -3*z. Let p(n) = 2*n + 27. Let t be p(-13). Let f = t + 3. Calculate the remainder when f is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23.9, -1\/35, -89, -1\/3, 0.2, -3\/7?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(152)*-3)\/(sqrt(8)*1*-5))**2.\nAnswer: 1368\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of j**4\/4 + 5*j**3\/3 + 2*j + 3. Let p be g(-5). Which is the nearest to 1? (a) -1\/3 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1430 divided by -22\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -357*o**2 + 32256*o**4 - 32302*o**4 + 1664*o**2 + 3*o**3 + 4*o**3 wrt o.\nAnswer: -1104*o + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1278337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/((-230)\/(-385))*(-366)\/(-427)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.95321 minus -0.1?\nAnswer: -0.85321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 25\/2*z**2 + 17*z + 2\/3*z**3 + 0 - 1\/12*z**4. List the prime factors of y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8013\/31967 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 43*h + 51. Give v(-6).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s**3 - 3*s + 3*s + (-s**2 + 2*s**2 - 2*s**2)*(-3*s + 2*s + 2*s) - 2*s**3 - s**3 + 5*s**3 + 0*s + 2*s**3 + 0*s)*(-3*s**2 - 16*s**2 - 8*s**2).\nAnswer: -270*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 753 - 728. Factor z*p**2 - 3011 - 20221 + 23*p**2 - 51*p**2 - 528*p.\nAnswer: -3*(p + 88)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**3 + 2*u - 3*u**3 + 5*u**3 + 2*u**3 wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24622*p**3 + 395675*p**2 - 49244*p**3 - 395675*p**2 + 24634*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -47 - 332100?\nAnswer: -332147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1539.1998ms to hours.\nAnswer: 0.0004275555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8151750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.17 + 10.17. Let q = -9.6 + i. Let u be (57\/228)\/(6\/16). What is the nearest to u in 0.1, 1\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 75528*i**3 - i**2 + 146*i - 25 wrt i?\nAnswer: 453168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 3:39 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, s: 1, w: 2, y: 1, p: 1, e: 2}. What is prob of sequence sep?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -6786\nAnswer: -20358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n - 3. Calculate a(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1396428480 divided by -3?\nAnswer: -465476160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.7 or 5809809?\nAnswer: 5809809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -799 - -1932. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-3 + -1 + 2*sqrt(68) + 2)*1)**2*5)*-5.\nAnswer: -6880 + 400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10633.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 308246063 a multiple of 5831?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + 1*(sqrt(1584) + -5) - 2*sqrt(1584)*5) + (sqrt(1584) + 5*(sqrt(1584) + 1) - -4*(1*sqrt(1584) + sqrt(1584))) + -3)**2.\nAnswer: -432*sqrt(11) + 57033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-8)*29902 - (-12)\/16. Let f = -11796 + i. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-9))\/((-6)\/27). Let u(d) be the second derivative of -d**4\/12 + d**3\/2 - d**2\/2 + 4*d. Let z be u(y). Which is bigger: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*w = 2*w + 1522, 5*w = -2*a + 773. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2178574\/12)\/(8\/12). Let l = -276899 + g. Let c = -4602 - l. Calculate the common denominator of -53\/11 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22745257363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 258*r - 253*r = 10. Find the third derivative of 68*x + 0*x**2 - 68*x + 118*x**5 - r*x**2 + 9 wrt x.\nAnswer: 7080*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-68738)\/(-4) + 24\/48 - 3\/1?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 14 + 14 + -7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-90)\/5 + 19)*-1*5. Let h(p) = -p**2 + 5*p + 4. What is h(g)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hphhbvphu. What is prob of picking 1 h and 1 u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 0 + 1\/2*x**2 + 2\/3*x**4 - 4*x + 0*x**3. Give l(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.017*-1.23608\nAnswer: 0.02101336","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 68*s**2 - 7*s - 80. Calculate o(34).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1974)\/33 + (-6)\/33. Let g = -30 - v. Is 15 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 431974 and 49414?\nAnswer: 1594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (5 - 13 - -2 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/280060 and -59\/80.\nAnswer: 1120240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q - 4*f + 16, 5*q + f = 22. Sort 1, -5, 2, q.\nAnswer: -5, 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994 + 4109 = 421*u - 3317. Let f be 19\/4 - 3\/(-12). Suppose 5*r = r + 20. Solve f = r*y + u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 695 - 713. Calculate the lowest common multiple of (10\/40 - 11\/4)*d and 8.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 4)*(-3 + 2 + 4)*(2*w**3 - 3*w**3 - 2*w**3).\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - -5.3. Let z = y + -16.5. What is the nearest to 0 in -1, -1.4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99891472.\nAnswer: 2, 191, 32687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -31*k + 4. Let o = -75518 + 75524. What is the lowest common multiple of o and j(-4)?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*o + 132 = 0. Let z = o + 28. Let j be -3 - -8 - 3\/z*6. Solve 12 = -j*i - 4*k, 4*i + 0*k = -k + 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221160 is divided by 99?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 55*p**3 + 4 + (2*p + 0*p - 3*p)*(-p**2 + 2*p**2 - 2*p**2).\nAnswer: -54*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35224224 a multiple of 1184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 v when two letters picked without replacement from {f: 3, z: 2, v: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 4)\/(-5)*1. Solve n = 4*w + 2 + 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -55. Let i = 16 + f. Solve 0*c = c - t - 9, -c = -i*t - 29 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + 1999.\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12021212110021 (base 3) to base 8\nAnswer: -12564264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**2 + 8*g - 5. Is l(10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - o + 4*o. Suppose -t + 22 - 14 = o. Solve 0 = -4*i + t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 186, 370, 556, 744, 934, 1126?\n\"Answer: m**2 + 181*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -12610511 and 0.01 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 106?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 360 + -305. Suppose -u + 235 = 5*y. Calculate the remainder when 214 is divided by y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 60.7. Let y = -3.7 - f. Which is the second smallest value? (a) y (b) 3\/2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 5545264.\nAnswer: 127541072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1440*m - 436*m - 378*m - 315*m - 313*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 9) to base 6\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 0*t + 43 = y, 12*t = 7*t + 25 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/15 (b) -0.1 (c) -5 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56400*i**5*t - 5*i**3*t**3 - 16*i**2*t**3 - 4*i**2*t + 70*i**2 + 2*t**3 + 3 wrt i.\nAnswer: 3384000*i**2*t - 30*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -131. Let m = x + -123. Which is smaller: -9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3339 - 1.4?\nAnswer: 3337.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2996 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 13*l + 9. Let a be w(16). What is the greatest common factor of 95 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l - 4. Let n be u(-17). Suppose -12*g + 18 = -n. Sort g, -38, 1 in descending order.\nAnswer: g, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8016 (base 16) to base 9\nAnswer: 48873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 17. Let c = 15 - 6. Let o = -8.7 + c. Put y, 5\/3, o in ascending order.\nAnswer: o, 5\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 5. Let k be z(-5). Let t = 102 - -175. Let s = 279 - t. Sort k, 1, s.\nAnswer: k, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-12))\/(96\/(-297) + 30\/55).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -440, -1\/360, -2\/17?\nAnswer: -1\/360","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-65)\/(-9) - 4\/18. Suppose -l*n = -2*n - 5. Let g be 3\/9 + (-22)\/(-6). Which is the third biggest value? (a) g (b) n (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 20*s**2 - 76*s + 74. List the prime factors of r(24).\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3305, 1.\nAnswer: 1, 4, 3305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17780647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -0.4, -19, -3\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8687 or 138971\/16?\nAnswer: 8687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l**2 - l + 100*l**2 - l.\nAnswer: 85*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - t + 2. Let w(x) = -5*x**2 - 4*x + 9. Let r(v) = -9*g(v) + 2*w(v). Let f(y) = -9*y**2 + 5*y - 2. What is f(k) - 6*r(k)?\nAnswer: -3*k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175396?\nAnswer: 2, 13, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 177*q + 7. Let p(f) = 40*f - 1. Let o(a) = -h(a) + 5*p(a). What is o(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -38*n + 46. Let o be t(8). Let g = 289 + o. Solve 8*p - 7 = -g for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwcjjffjcjwfcwckkj. What is prob of sequence jjww?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4619 is divided by 4536.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 - -59.3. Let p = 21.70000559 + l. Round p to 7 dps.\nAnswer: 0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 + 2407540*m - 14445096.\nAnswer: -4*(m - 601879)*(m - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2999 divided by -138\nAnswer: -2999\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 190. Determine i(-66).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(76) + -2).\nAnswer: -6 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -187*b - 303*b + 75*b - 315*b - 1520*b to the form k*b + l and give k.\nAnswer: -2250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 - 2*a**2 - 6434*a**3 + 0*a**2.\nAnswer: -6434*a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + -3 + 3 - 1) + -9.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21285 divided by -33\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((v**(-12)\/v)\/v*v)**(2\/9))**24)**(-13))**14 assuming v is positive.\nAnswer: v**(37856\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -569\/1206 + 93\/134. Let k = -4.9 - -0.9. Let s = -5 - k. Sort 3, s, t.\nAnswer: s, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1350, -5220, -11670, -20700, -32310?\n\"Answer: -1290*i**2 - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - w + 3 = -9*d, -2*w = -d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/23? (a) -3\/7 (b) -4 (c) 4 (d) 1 (e) -0.036\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1958, 1956, 1954?\n\"Answer: -2*z + 1960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1880 and 1439140?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o + 0*o - 4*o. Let g(b) be the first derivative of 8*b**3\/3 + 73. Determine g(m(q)).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -53999\/3, -1\/6, 1\/5, 60 in decreasing order.\nAnswer: 60, 1\/5, -1\/6, -53999\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*r = -8*r - 20. Suppose z - 2 = r*j, 7*j = 3*z + 3*j - 4. Solve -7*q + 5*q + 10 = z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 15. Give i(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v - 2*v + 10 - 12 + 6*v. Let w be s(7). Let i(a) = -a**3 - a**2 + a + 2. Let y be i(-2). Solve -o - w*p - 20 = -6*o, 4*p = -y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + -61.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-9 - -12) + (-7 - -1) + -7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*c - 77 = -134*c - 8*x + 31, 11 = -3*c + 2*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -231652, -463642, -695632?\n\"Answer: -231990*x + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkwekewn. What is prob of sequence wn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/2 + 6*d**3 + 111\/2*d - 60*d**2.\nAnswer: 3*(d - 9)*(2*d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**2 + w. Let s = 11 + -2. Let b(y) = -y + 8. Let v be b(s). Let n(a) = a + 1. What is v*h(k) + 2*n(k)?\nAnswer: 2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:47 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.01, -2662, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 20*c**2 - 835*c - 10486. Calculate i(-14).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 52098207 to the power of 1\/3, to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 315*h**2 - 21261*h - 1068. What is p(217)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y = 420 - 772 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 7 = -5*u - 4*o, 0 = u - 5*o - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20725200 divided by -6?\nAnswer: 3454200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 61. Let x = i - 42.8. Let r = x + 6. Which is the closest to 1\/3? (a) 3 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/13 (b) 0.5 (c) 5 (d) 910 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1101001011001011111011 (base 2) to base 4\nAnswer: -31023023323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s - 1. Let z(q) = -6*q + 2. Suppose -3*c + 0*c + 24 = 0. Suppose 5*r - 3*p - 15 = 2*r, 4*r + 2*p - c = 0. Give r*z(j) + 4*a(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v - 6. Let a be x(4). Suppose -8 - 20 = -4*h - 4*r, 0 = 3*h + r - 21. What is the remainder when 4\/6 + a\/(-3) + 2 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*z**2\/5 + 416*z\/5 + 66\/5 = 0.\nAnswer: -11\/73, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*t**2 + 433673*k*t + 6*k + t - 1232 wrt t?\nAnswer: 4*k*t + 433673*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from odjobbdbdeddop. Give prob of picking 1 e, 1 d, 1 j, and 1 b.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 230 - -2?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-3 - 1 - (-13 - (-17 + 11)))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-70))\/(27 - (-8668)\/(-308))\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/275 and 33\/10?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 2:04 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.13099l in millilitres?\nAnswer: 30130.99","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + p**3 - 12*p**3 - 16.\nAnswer: -11*p**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 21*j**2 + 2*j - 30. Let n(h) = -h**3 + 6*h**2 - 4*h - 4. Let u(o) = -o**2 + 19. Let k be u(4). Let l be n(k). Is s(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**3 + v. Let i be z(1). Let o be (-7)\/i + (-3)\/5. Suppose 3*y - 4*r = -y - 36, 5*r - 33 = 2*y. Put o, 4, y in descending order.\nAnswer: 4, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/35)\/(-13 - 888\/(-56)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -38 - ((-2)\/2 - -1). Is 3\/((-3)\/a) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60288 and 2355.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - 2*g**3 - g**2 + 2*g**3 + 0*g**3 + 0*g**3 + 5*g**3 - 3*g**3 - 3*g**3 + (0*g**3 + 2*g**3 + 0*g**3)*(-4 + 5 - 3) + g**2 - g**2 - g**3)*(-2 - 4 + 3).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**5\/12 - 4*t**3\/3 - t**2. Let p = 684 - 689. Let j(l) = 3*l**2 + 5. What is p*w(v) - 8*j(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*126\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/6)\/((-1)\/5). Let q be 1 - (-5)\/((-15)\/(-6)). What is the smallest value in 4, q, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.164 - 0.007. Let k = -0.029 + o. Let u = 4 - 3.7. Sort k, -0.09, u in decreasing order.\nAnswer: u, -0.09, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41 (base 11) to base 12.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.53, 5\/6, 14, 1?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022 - 22?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + i - 1. Let q be (1 + -1)*(25 + -26). Determine c(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2413 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x**2 - 4*x**2 + 0*x**2)*(-6 + 7 - 8)*(0*x + 0*x + 2*x + (2 - 1 + 1)*(-2 + 2 + 2*x)) to the form h*x**2 + y + v*x + a*x**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*q**2 + 111*q**2 + 67*q**3.\nAnswer: 67*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -113, -257, -459, -719?\n\"Answer: -29*i**2 + i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26)\/(-39))\/((-1)\/(-9)*2). Suppose -2*s = -2*a + 6, 0 = n*a + s - 0 - 5. Suppose 7*x - a*x - 100000 = 0. Round x to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omoxkmwmykxwymx. What is prob of picking 1 x, 1 k, and 2 w?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(350\/120)*12*(-18)\/(-1728).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*d - 3*d - 22 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27765 and 66.\nAnswer: 610830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/7 + 530*o**3\/7 + 3369*o**2 + 36036*o = 0. Calculate o.\nAnswer: -21, 0, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 1)*(-108459*t**2 - 9*t + 148*t + 108407*t**2) to x + c*t**2 + i*t and give i.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 4*b. What is the lowest common multiple of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 44073.\nAnswer: 30851.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-1\/3)\/j)*j)**(6\/7)*j\/(j*j\/((j*j**(-13))\/j)*j)*j*j**1*j)**(-5) assuming j is positive.\nAnswer: j**(320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 338157917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 66, -2\/7?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.506 - -0.396. Put -1, -0.6, 0.5, j in descending order.\nAnswer: 0.5, j, -0.6, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1431316544?\nAnswer: 2, 7, 311, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l*l**1)**(1\/26) assuming l is positive.\nAnswer: l**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.457 + 10.457. Let s = 9.999733 - p. Round s to 5 dps.\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -4*f - 0*f + 4, 0 = 4*f + m - 20. Suppose -2*s + f = -2. Suppose s*y - 102 - 106 = 0. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -9*t + 24. Let a(k) = 2*k - 5. Let s(c) = -24*a(c) - 5*i(c). Let q(z) = -21*z. Give s(q(j)).\nAnswer: 63*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + 26. Let g = -35.00246 + v. What is g rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2258498308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1520 and -11\/24?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by 23.\nAnswer: 17\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7458 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449*i - 205*i - 203*i.\nAnswer: 41*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 0.7, 7, 4\/7, 0.3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111012 - -11?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1820*g**2 + 3896*g**2 - 2077*g**2 - 7*g. Let i(j) = 53*j. Give v(i(z)).\nAnswer: -2809*z**2 - 371*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j + 59. Suppose 4*p + 6*w - 20 = 3*w, -5*w - 20 = -4*p. Calculate the remainder when 95 is divided by z(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, n: 2, p: 1, g: 2}. Give prob of picking 1 p, 1 g, and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -11 + 0*b - 1\/2*b**2. Let d(i) = 18*i. What is y(d(p))?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 7587138*a - 7587138*a + 2*a**2 + 4 - 8.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1667*g**2 + 2*g**3 + 1667*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(2*(4 + -2 + sqrt(2448) + -3*sqrt(2448) + 2) + -2))**2.\nAnswer: -6336*sqrt(17) + 352996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446398 + 0.5?\nAnswer: 446398.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 8. Differentiate 5 - 2*t**3 + 13*t**w - 13*t**2 wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*(2 + sqrt(76) + 0 + -1) + 3*-2*(sqrt(76)*1 + -2))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108194?\nAnswer: 2, 47, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -162.6 + 175. Let k = x - 11.4. What is the nearest to 20 in -3\/4, 3\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k. Let q(j) = 3*j**2. Let m(l) = -7*l**2. Let c(v) = -3*m(v) - 8*q(v). Calculate o(c(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 748 or 830?\nAnswer: 830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 12 (b) 1\/2 (c) 2 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/1525 and -71\/38172.\nAnswer: 58212300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -13*x + 6. Let j(d) = 12*d - 5. Give -7*j(k) - 6*t(k).\nAnswer: -6*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of f**4\/22 + 14*f**3\/11 + 34*f - 5. Factor b(a).\nAnswer: 6*a*(a + 14)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/27 of a day in seconds?\nAnswer: 25600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37 + -26. What is the least common multiple of f and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*f + 174 = 44*f. Let m be (f\/6*124)\/(2\/8). Suppose 14 = -4*l + 6, -4*y - 2*l = -m. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*p = -24*p - 114*p + 2618 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*y - 271795 = -0*y + 3*y. What is the thousands digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, w: 6, k: 1}. What is prob of sequence ggg?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/2 - 96460\/(-5096) - 2\/(-28).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -23*z - 357. Let o be u(-17). Does 32 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 230*p + 1 - 448*p + 244*p + 9. Let a(v) = 4*v**2. What is r(a(w))?\nAnswer: 104*w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/((-2)\/(-8)). Suppose n*b - b = 7. Suppose f - b = -0*f. Calculate the greatest common factor of f and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60\/9 - (20\/6)\/5. Suppose 2*d = -0*d - x. Suppose 7*p + 5 = 2*p. Which is bigger: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3356, -6811, -10376, -14057, -17860?\nAnswer: -21791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1930961154 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*w - 44259676 + 4346048 = 16717700. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 8*y**2 + 13*y - 8. Let i(z) = z**2 + 3*z - 1. Let v be i(2). Let d be f(v). Let n = -12 + d. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 589*a*o**4 - 376*a*o**2 wrt o.\nAnswer: 14136*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19601 + 4145 = -23*d. Calculate the highest common factor of d and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59626824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-228)\/(-384))*-4*5\/40\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -9*c + 201. Let l be v(19). What is the highest common factor of l and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 809 less than 2884526184.9?\nAnswer: 2884525375.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2*s - 2)*(4*s**2 - s**2 - 2*s**2) - 8*s**3 + 133 - 133)*(-10 + 3 - 1).\nAnswer: 80*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -533622919*g**3 + 3*g**2 - 55596938 wrt g.\nAnswer: -3201737514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + 2*c**2)*(0*c - 2*c + 3*c) - 437*c**2 + 4 + 437*c**2 - 8*c**3.\nAnswer: -6*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 256*l + 79*l - 8266 + 2236 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31\/7 - (-30)\/(-70). Let v(h) = x*h + h + 1 - 5*h + h. Let l be 2\/(-4)*24\/3. Determine v(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {d: 3, a: 6, s: 3, e: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 12*s - 5. Let a be (0 - -2) + 4\/(-1). Let m(p) = 5*p + 3. Let h be m(a). Is q(h) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 7*a + 10. Let b be p(8). Let s(y) = y**3 - 4*y**3 - 6*y**2 - 2*y + 2*y**2 - 1 + b*y**2. Determine s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - u**3 + 4*u**3)*(-20*u**2 - 9*u**2 - 13*u**2) + 0*u**3 + 0*u**3 - u**5.\nAnswer: -85*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9.5. Let r = a + -2. Let p = r + -0.5. Which is smaller: p or 11\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.2 (b) -0.32 (c) -0.1 (d) -2087\/18 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 2*m = 0, -4 = -3*m - m for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 12) + (-1 - -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 11*o**7\/336 - 277*o**6\/240 - 59*o**5\/40 + 13*o**4\/24 + 360*o. What is m in l(m) = 0?\nAnswer: -1, 0, 2\/11, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0 - 1\/24*u**4 + 2*u**3 - 29*u**2 + 0*u - 1\/60*u**5. Let i be k(-4). Solve 0 = -5*f - i*s - 3*s - 25, -f - 17 = 3*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 - 245\/((-31850)\/(-4940))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296\/1295*10\/(-8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -2, -497, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35298*w**2 + 70588*w**2 + 147 - 35325*w**2 to r*w + h + c*w**2 and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/64 of a meter?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/2 - 14*d**4 - 39*d**3 - 38*d**2 - 25*d\/2 = 0.\nAnswer: -25, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-6))\/(((-59)\/((-48970)\/(-249)))\/((-36)\/10)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*s + 1 - 52*s - 504*s**3 + 25*s**3 wrt s.\nAnswer: -2874*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74062240.\nAnswer: 2, 5, 7, 89, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26528, 53057, 79586, 106115?\n\"Answer: 26529*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8433382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5127 + 6804. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 5596*i - 211213. What is t(38)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 1\/(-7))\/((-12)\/(-56)). Solve w*y - 12 = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuqu when four letters picked without replacement from {u: 9, y: 4, q: 7}?\nAnswer: 49\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 14612718 to the power of 1\/2, to the nearest integer?\nAnswer: 3823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-4))\/(16\/(-28)*(7 + 924\/(-110))).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**3 + 25*t**2 + 5*t + 50. Give c(13).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 7. Let h = v - 349. Let s = 345.87 + h. What is s rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 20. Suppose -4*v = -12, -a - v + 87 = -0*a. Suppose x*m = 5*m - a. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 2\/3 (c) -1107764\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4756, -19185, -43238, -76921, -120240, -173201, -235810, -308073?\n\"Answer: -z**3 - 4806*z**2 - 4*z + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -0.8 (b) -145 (c) 3\/7 (d) 1.67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -42 (b) 0.03 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -70, 0.21 in decreasing order.\nAnswer: 5, 0.21, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 + 2*b**3 - 3*b**3)*(1 + 19 + 0) - 32*b**3 + 94*b**3 + 33*b**3 + 34*b**3.\nAnswer: 169*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymxm when four letters picked without replacement from {r: 5, y: 1, x: 2, d: 1, i: 1, m: 6}?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2. Let v(g) be the third derivative of g**5\/30 - g**2 - 35*g. Calculate v(a(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5030.475 decades in months?\nAnswer: 603657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g - 4. Suppose 0 = m - 4*y - 33, 3*m + g*y - 131 = 6*y. Find the common denominator of 95\/8 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 1:46 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - 5 + 5 + (-5 + 0 + 0)*(j**2 - j**2 + 2*j**2) - 41 + 3*j**2 + 41.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8537548us?\nAnswer: 0.0008537548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -1, 3, 1.5, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a kilogram in grams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4 times 10178?\nAnswer: -44783.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 318051 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - o + 3 = 0, 0 = -5*j - 2*o + 1752. Suppose -q + 397 = -3*q + 3*l, -5*l + 990 = -5*q. Let n = j + q. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2)*(2*i**5 + 2*i + i**5 + 0*i**5).\nAnswer: -6*i**5 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.77 - -0.23. Which is the nearest to -0.1? (a) m (b) 1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -577, -503, -427, -349?\n\"Answer: l**2 + 71*l - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 20*b - 28*b. Suppose b = -4*d + 27. Solve -5*x + 5 = o - 10*x, -2*o - d*x - 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1976608 is divided by 161.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a hour in seconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4611*q + 78392. What is w(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -8 (c) -8.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -25 divided by 246\nAnswer: -25\/246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -747*z**3 + 837*z**3 - 622*z**3.\nAnswer: -532*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -656*x**2 - 2*x + 9751?\nAnswer: -1312*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fycfyc. Give prob of picking 2 y.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q**2 - 6*q - 7. Suppose -k - 5 = -0*k. Let b be i(k). Suppose b = 4*v - 0*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*o - 3*j, 2*j = -2*o - 2*j + 16. Solve 5*c - 2*y = -0*c - 33, 0 = o*c + 3*y + 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -605, -4820, -16257, -38528, -75245?\nAnswer: -130020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 24*y**2 - 4*y + 14. Let u(f) = -5*f**2 + f - 3. Let a(g) = -6*c(g) - 28*u(g). What is the second derivative of a(x) wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 6*n**2 + 7*n + 4. Suppose -4*f + 2*l - 13 = 7, -4*f - 2*l - 36 = 0. Let d be p(f). Solve -4*x + 12 = -d*s - 5*x, -8 = 2*s + x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 - 13*m**4 + m**2 - 10*m + 58*m**3 + 16*m**4 - 56*m**3 to q*m**3 + t*m**2 + x*m + c + f*m**4 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7469444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b**(-1)*b)\/b*b)\/b*b*b)\/b)**(20\/9)\/((b\/(b*b**(2\/11)\/b))\/(b\/((b**(-7)*b)\/b))) assuming b is positive.\nAnswer: b**(931\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 4*w + 20 = 0, -3*r - 5*w = -34. Let p(v) = 8*v - r*v + 3*v + 20 - 27. Is p(5) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 1 = -l + 7, 26*i + 8*l + 2 = 25*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*w + 1500. Let v be w\/(-70) - 4\/14. Suppose -2*f = 2*f - 12. Solve -5 = -v*n + 4*q - 25, -4*n = -f*q + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -7. Let n = z + -27. Put 4, 3, n in decreasing order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26*v**3*x**3 + 4237*v**3 + 26155*v*x**2 + 4*x**3 wrt v.\nAnswer: 156*v*x**3 + 25422*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -702 + 707. Solve 3*a - 3*z + 59 = 62, -f*a = -z + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(66)*-2 + sqrt(66))\/(sqrt(480)\/sqrt(5) - sqrt(6)) + 4 + (-2*sqrt(110))\/sqrt(10) + 2)**2.\nAnswer: -36*sqrt(11) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w**3 - 4*w**2 - w - 5. Does 6 divide b(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115 + -125203?\nAnswer: -125322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42569386 is divided by 8110.\nAnswer: 8106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5\/2 - 39*l**4\/2 - 4637*l**3\/2 + 220407*l**2\/2 - 257368*l - 5983170 = 0.\nAnswer: -71, -6, 10, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1183608 + 2237561. Is g 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 -2511, -976, 567, 2118, 3677?\n\"Answer: 4*n**2 + 1523*n - 4038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1231*j**2 + 78*j + 1059. Is l(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278279 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2912 or 6072?\nAnswer: 6072","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 22*y - 14. List the prime factors of h(7).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4030521mg in micrograms?\nAnswer: 403.0521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/11)*a**(2\/17))\/((a\/(a*(a*a**1*a)\/a))\/a*a*a**(1\/8))*((a**(3\/10)\/a)\/(a*a**(-5)\/a*a*a*a))**(-47) assuming a is positive.\nAnswer: a**(-440763\/7480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/10902 and -49\/40848.\nAnswer: 3226992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61\/2 of a decade?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 9:43 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**4 + 23*a**3 - 60*a - 2 - 11*a**3 + 59*a + (-2*a**3 + 2*a**3 - 4*a**3)*(-a - 2*a - a).\nAnswer: 7*a**4 + 12*a**3 - a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 7*g + 8. Let k be c(6). Suppose 4*x - 4*b + k = 78, -2*b = 5*x - 45. Suppose -x - 1 = -n. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + 14 + -9 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**6\/5 + 3*l**5\/20 - 2*l**4 - 2*l**3 - 14*l + 2. Factor j(m).\nAnswer: 3*m*(m - 2)*(m + 2)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 15*j + 2805. Give t(-46).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3 - 0)*3080\/(-352)*32\/(-10)\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 11. Suppose -35 = 4*q - 6*q + c, 70 = 5*q + c. Let w be t(q). Solve 10 = -5*y, w*z - 4 = y + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**11*t**(2\/9))**(6\/5)\/((t*t**6*t)\/(t*t**0))**46 assuming t is positive.\nAnswer: t**(-5006\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4 - ((-450)\/368)\/(-3)*(-21612)\/(-16209).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 4*i**2 - 7*i - 6. Let u be j(-5). Let b be ((-10)\/(-4))\/((-2)\/(-4)). Let q(m) = -u*m + b*m + m. Let g(k) = 3*k. Calculate q(g(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 331*p + 462 with respect to p.\nAnswer: 331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 157192 and 25263?\nAnswer: 1414728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a + 19. Let d be m(-13). Let f = 39 + d. Let y = f + -80. Solve -j + y = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175\/3 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of -z**3\/3 + z**2 - 4*z - 22. Give m(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.673 + 0.027. Let p = 2.8 - o. Which is the closest to 2\/5? (a) 4 (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 3:47 PM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + m + 6, -2*m + 3 = q + 2*m. Calculate the common denominator of 63\/2 and (3\/8)\/(q\/474).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*w - 717060 = 307858. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**2 + v**2 + 2*v**2)*(-v + 4*v - 4*v)*(-1 + 3 - 3) - 24521*v - 282*v**3 + 24521*v to y*v**3 + x + f*v + t*v**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -118\/407 + 4\/37. Put g, 1\/3, -3 in descending order.\nAnswer: 1\/3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -136 - -125. Which is the closest to q? (a) -2\/9 (b) 1\/2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -772855682 divided by -484853?\nAnswer: 1594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15 = 0, 42*n = 45*n - 5*p + 16. Calculate the greatest common divisor of n and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32.72 - 35.7. Let k = d + -0.02. Let m = -2.88 + 2.88. What is the closest to k in -1\/4, -0.1, m?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*h + 2 = 0, -5*h = 2*v + 2*v + 12. List the prime factors of (-17 - -18)*176\/v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 6 + 6)*(n - 2*n - n)*(-3*n - 4 + 4).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 6:58 PM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 16 = -3*v. Let h(u) = u + 1. What is the smallest common multiple of v and h(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194549*r**4*w**2 - r**2*w - 2131*r*w**2 + w**2 wrt r?\nAnswer: 4669176*r*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 30. Let t(b) = 9*b**2 + 18*b + 13. What is the remainder when t(-4) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-5) + (-17)\/(-5). Suppose 3*i - 15 = -o. Let m be (-13)\/(-7) - 7\/(-49). Put 5, m, i in decreasing order.\nAnswer: 5, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide -4*(-111)\/12*10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 12:20 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*h - 3*m, 0 = -2*h + 3*h - 5*m - 2. Find the second derivative of 2*w**5 + w**4 - 3*w**4 + h*w**4 - 5*w wrt w.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2965 and -2345 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*x + 18*x + 117 + 26*x + (4 - x - 4)*(-3 - 3 + 4) as m*x + s and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 2*k**4 - 3*k**3 + 0*k**3 - 13845*k**2 + 13835*k**2 in the form p + s*k**2 + i*k + c*k**3 + b*k**4 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbr when three letters picked without replacement from brrrbrbrbr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -33 * -8.886455\nAnswer: 293.253015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6392 - 2.63914767. What is z rounded to six dps?\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 12:39 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 2 - -25 - (4 + -5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p - 15. Let d(b) = -4*b - 16. Let u(l) = 4*d(l) - 5*t(l). Let g be u(7). Sort 3, g, -3 in descending order.\nAnswer: g, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z - 5 - 34 + 59 - 20.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b5 (base 16) to base 6.\nAnswer: -32553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3216\/(-1610) - (-5 + 1) - 2. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14590981\/109880 + 8896\/67. Find the common denominator of b and -149\/180.\nAnswer: 14760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32182 + 75387. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (26\/(-2))\/(6\/(-12)). Suppose 3*d = b + 13. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5*w. Let q(h) be the second derivative of -1\/2*h**3 + 0*h**2 + 121*h - 2. Give l(q(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 12. Let l be c(10). Let t be ((-2 + l)*1)\/(-34). Let j = -11\/3 - -19\/6. Sort j, t, -3 in descending order.\nAnswer: t, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lruihirauurl. Give prob of sequence lh.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3. Suppose -3*r + 18 = 4*h - q, -5*h = r - 32. Let o = 0 + h. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*s - u - 2*u, 3*u = -6. Does 12 divide 4*((s - -1) + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2909 + 2908.9997018. What is y rounded to 5 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 3*u + 4*u)*(-3*u + 0*u + 0*u)*(0*u + 3*u - 5*u) - u**3 - 4*u + 4*u.\nAnswer: 29*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 + f**2)*(-171*f - 11972 + 11972) to t*f**2 + o + g*f + l*f**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + e0?\nAnswer: e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**5 - 420*a**4 + 4782*a**3 - 17584*a**2 + 21216*a = 0.\nAnswer: -221, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(168)\/sqrt(6) + sqrt(224)\/sqrt(32))**2.\nAnswer: 30*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/4))**15\/(v**(1\/4)*(v\/(v**(-4\/5)*v)*v*v*v*v)\/v) assuming v is positive.\nAnswer: v**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*f = -3*n + 82*f + 105, -16 = 3*n - 2*f + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-18))\/((-45)\/(-405)) - -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 27. Let j = w - -68. What are the prime factors of j?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002763 to six dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 5:11 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uupwkwsrsswp. Give prob of picking 1 u, 1 r, and 2 p.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2121 + -0.2879. What is the second biggest value in -3, 352\/13, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*f + 14*f - 5*f - 4*f to the form c + y*f and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 266 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8562*v**2 + 120*v. Let u(r) = 3167941*r**2 - 44415*r. Calculate -2961*j(z) - 8*u(z).\nAnswer: 8554*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39029564 + 39028944.00277. Let r = v + 620. Round r to four decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2843, 2\/5, -1, -0.3, -1.21 in ascending order.\nAnswer: -1.21, -1, -0.3, -0.2843, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = i. What is the first derivative of 2*y**2 - y**2 + 0*y**2 + 2 + i wrt y?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83568943?\nAnswer: 83568943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, 0.3, -2, -1\/4, 341?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-10))\/(4\/3*(-261)\/(-1218))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 21*a - 61. Let f be t(3). Solve 0 = -3*j + 5*w - 9, -f*w - 3*w = 5*j - 25 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/1)\/(4*4\/80). Suppose -2*q + k = -q + 5*a, 2*a = -10. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/sqrt(7) + sqrt(5))*6 + -2 + sqrt(605) - ((sqrt(60)*-1)\/sqrt(6))\/(1*sqrt(200) + sqrt(200)))**2.\nAnswer: -461*sqrt(5)\/5 + 212841\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-105 + 446 + 514)*(3*l + 0*l - l) + 8*l - 4 + 4 in the form m + p*l and give p.\nAnswer: 1718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b**3*x**2 - 14*b**3*x + 104*x**2 wrt b.\nAnswer: -12*b**2*x**2 - 42*b**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -7 - (-9 + 89 - (-38 - -13))\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2200112 (base 3) to base 12\nAnswer: -1172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3*-1)\/(-4 + 5). Let x be b\/(-13)*4\/6. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/10)\/((120\/(-225))\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 5:44 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**3 - 35*k**2 - 35*k + 5. Let t(a) = a**2 - a - 1. Let g(w) = -q(w) - 5*t(w). What is m in g(m) = 0?\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4521 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 20 = 4*c, 0 = -3*c - x - x. Solve 9*a = c*a - 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(385) + sqrt(385) + -5*(1*sqrt(385) - sqrt(385)) - sqrt(385))\/sqrt(11))\/(sqrt(405) - (-3*-2*sqrt(405) + sqrt(405))))**2.\nAnswer: 7\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, d: 2, v: 2, n: 1}. What is prob of picking 1 d, 1 v, and 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133090, -266238, -399386, -532534, -665682?\nAnswer: -798830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1560049 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -3*c**4 + 9*c**3 + 12*c**2 + 25*c - 101. Let q be h(25). What is q rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 4:28 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12784409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 741544272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13851 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -9 + 17. Let b = 6 - 4. What is the third derivative of -3*d**2 - 2*d**6 + 2*d**x - d**b wrt d?\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 4998752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2479 - -912?\nAnswer: -1767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 960.6857ml?\nAnswer: 0.9606857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3740581\/12264 - 20143\/219. Let u = 3301\/8 + n. Let o = 92\/7 - u. What is the nearest to 0.1 in -0.1, o, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from odddoddooo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 79881 (base 14) in base 10?\nAnswer: 295289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/((g\/(g*(g*g\/((g**1*g)\/g))\/g*g))\/g))*g**(-1\/6)*((g\/(g\/((g\/(g*g**(-7)))\/g)))\/g)**(1\/46))**(-3) assuming g is positive.\nAnswer: g**(142\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2515691793 rounded to the nearest 1000000?\nAnswer: -2516000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 2:38 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + b**2 + 4*b + 314. Calculate the remainder when s(0) is divided by 81.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2766, -2765, -2764, -2763, -2762?\nAnswer: -2761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 47. What is the remainder when 12 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242299 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 54b + f?\nAnswer: 55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -366389*a**3 - 2*a**2 + 13*a - 12366.\nAnswer: -2198334*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -79*f**3 - 8*f**2 + 9*f + 4. Let a(c) = 20*c**3 + 2*c**2 - 2*c - 1. Give 9*a(m) + 2*q(m).\nAnswer: 22*m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4987 + 4986.7. Which is the fourth smallest value? (a) -0.2 (b) 2\/69 (c) h (d) 5 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)*s)\/(((s**(-2\/17)*s)\/s)\/s)*s\/(s*((s*s**(-2\/5))\/s)\/s)*s\/(s\/(s*((s\/((s\/(s*s**5))\/s))\/s)\/s)) assuming s is positive.\nAnswer: s**(214\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/46)\/((-2)\/(-4)). Let h be (-1 - 0) + 262\/250. Let i = -352\/2125 + h. Which is the closest to 2\/7? (a) y (b) -3\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 + -88 - -70) + 407\/(-31).\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - p**2 - 2*p + 3 - 13*p. Let v(j) = j**2 + j + 1. Let k(u) = 2*v(u) + y(u). Let h be k(8). Put 3, h, 1 in decreasing order.\nAnswer: 3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i - 44. Give u(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*f - 22 = -1, -3*x + 18 = -2*f. Suppose s - x*q = 19, 2*q + 1 = s - 14. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 8, p: 5}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 i, and 1 x when three letters picked without replacement from ciqcqtqitcxccitc.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l. Suppose -w + 6 = -l*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3504 and 6654.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -10*p**3 + 2*p**2 + 2*p. Let f be h(2). Let i = 7998\/77 - 26195\/154. Let n = f - i. Calculate the common denominator of n and -67\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 0.119 (b) 0.4 (c) -9 (d) 0.2 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.24694 millennia to years.\nAnswer: 76246.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4961097, -4961093, -4961091, -4961091, -4961093, -4961097, -4961103?\nAnswer: -4961111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 1128*z**5 + 1243059*z**4 - 6232278*z**3 + 8720904*z**2 - 3722850*z - 9963 = 0.\nAnswer: -1107, -1\/376, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 13*d - 15. Give b(-24).\nAnswer: 249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-63)\/(-60) - (-210)\/(-168)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 6*m. Let i be c(-8). Let v(g) = -g**2 + 84*g + 93. Let x be v(85). Solve x*b + 0*b = -i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 72*y**3 + 2*y - 9. Let o be b(2). Let p = -834 + 594. Let v = o + p. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28954 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*m + 1 = -7, 2*r + 5*m + 10 = 0. Suppose 5*i + r*o - 3*o + 25 = 0, -3*o + 23 = -4*i. Which is smaller: 0.08 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*w + 39 + 60 = 51. Suppose 2*n + 16 = -2*n. Let q(j) = j - 2 - 3 + 2. Let c(u) = u - 4. What is n*q(f) + w*c(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*m**3 + 92*m**3 + 91*m**3 - 352*m**3 + 87*m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 - 136.48. Let c = 1.32 - u. What is the closest to 24 in -0.5, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33339 + -4307.9.\nAnswer: 29031.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 4*b + 13. Let t be w(6). Let m be (1\/(t + -2))\/((-4)\/8). Solve -8 = -k + 3*k, -4*i = -m*k - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -851*b - 589. What is the ten thousands digit of z(-44)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*sqrt(84) + sqrt(252)\/sqrt(108)))\/(-2*-5*sqrt(7) - sqrt(7) - (-3*sqrt(175) + sqrt(175) - sqrt(7))).\nAnswer: 13*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, 0.2, 2\/9, -122?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 + 4)*(0 + 3 - 1)*(0*j + 0*j + j**4) as y + d*j**4 + w*j + a*j**3 + x*j**2 and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 14*p - 85. Let u = 87 - 49. What is the remainder when u is divided by k(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17\/35 - -2\/7. Let j = -2\/17 + -31\/170. Let w = j + s. Sort 4, -4, w.\nAnswer: -4, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 9*t**2 + 0*t + 2\/3*t**3 + 1\/3*t**4 + 0. Let g(w) = -w - 1. What is -6*g(y) - q(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -535 + 545 - x**3 - x**2 + 0*x**2 - x**3. Is i(-6) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83545139 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + 2)\/2*(-52)\/(-39). Let y = 0.0876 - -0.3124. Put 6, y, v, -0.2 in increasing order.\nAnswer: v, -0.2, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1936\/6 - (-8)\/(-12). Let b = i + -259. What is the remainder when 185 is divided by b?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -41, 174, 1 in ascending order.\nAnswer: -41, -1, 1, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1942.7 + -1941.7. Which is the second smallest value? (a) -2 (b) 2 (c) -0.1 (d) -1.2 (e) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**3 - 3*z**2 - 3*z - 3. Suppose -f - 9 = -5*y, -4*y + 4 + 14 = -2*f. Let b be (-2)\/8 - f\/4. Suppose 2*m = m - b. Calculate v(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -7\/80*v**5 + 1\/120*v**6 + 0*v**2 + 0 + 1\/168*v**7 - 1\/4*v**3 - 13\/48*v**4 + 35*v. Factor q(y).\nAnswer: y*(y - 3)*(y + 1)**2*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -7*i**4\/4 - 3*i**2 + 2*i + 1392. Let k(p) = -5*p**2. What is k(s(l))?\nAnswer: -2205*l**4 - 1260*l**2 - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18554460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2. Let x(a) = -a**2. Let p(g) = 3*x(g) + 2*z(g). Let s(k) = 9*k. Give s(p(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 1140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 - 3*y**2 + 0*y**2 + (3 - 3 + y)*(2 + 2*y - 2) + 363*y**2 + 3988*y - 3988*y.\nAnswer: 364*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71\/2485)\/((-4)\/8)*14.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1553806151?\nAnswer: 41, 1627, 23293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 14*w**2 - 24*w - 40. Let k(h) = -5*h**2 + 8*h + 14. Let c(m) = 11*k(m) + 4*o(m). Let t be -1*-2*(-4)\/(-8) - -8. Give c(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 601 + -601. Which is bigger: -2\/313 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, 2, 95, 0 in descending order.\nAnswer: 95, 9, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + (-5*sqrt(99)*5 + -4 - (1*sqrt(396) + (sqrt(132)*-2)\/sqrt(12) + sqrt(11) + 0)))**2.\nAnswer: 480*sqrt(11) + 70409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**4\/6 - n**3\/3 - 26*n**2. Let w = -11 + 5. Does 9 divide u(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 74795.\nAnswer: 224385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 23 + 52)*(-3 - f + 3) to the form u*f + k and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.94 - 45.94. Let u = t + 64. Let a = 20 - u. What is the second biggest value in 5\/3, 3, a?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15611042.35999694 + -15611044. Let x = c - -1.64. What is x rounded to 7 dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -90*p + 244. Let x(r) = -23*r + 60. What is 4*g(q) - 15*x(q)?\nAnswer: -15*q + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.0511? (a) -3\/7 (b) -3 (c) -64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.85 - -0.9. Let r = -0.06 + v. Let l = -22.17 + 22.17. Which is bigger: l or r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61839 is divided by 30899?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*f + 6*f. Suppose -11*t + 60 = -f*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91561 and 1622581.\nAnswer: 1501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121285 divided by -1.\nAnswer: -121285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -38\/3*z**3 - 2\/3*z**4 - 22*z**2 + 38\/3*z + 68\/3 = 0. Calculate z.\nAnswer: -17, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458448.198 rounded to the nearest one hundred?\nAnswer: 458400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - p + p + 3*p)*(62 - 139 + 67) - 5*p + 4*p - p + 4*p - p - 2*p + (1 + p - 1)*(0 + 5 - 3) + 2 - 2 + p + 0*p + 5*p - 4*p.\nAnswer: -27*p + 20","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 + 0*n**2 + 2*n**2 + (-2 - n + 2)*(-2*n - 5 + 0*n - 25) as u + r*n**2 + x*n and give x.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6a29e + -1?\nAnswer: 6a29d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2837463?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/((s*s**(-5))\/s))\/s)\/s*s)**(1\/29) assuming s is positive.\nAnswer: s**(6\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = f + b, 3*f = -2362*b + 2367*b + 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - g - 5*n + 23, -g + 2*n = 9. Let p(d) = -3*d**3 - 2*d**2 - d. Let k be p(g). Suppose 4*o - 10 = -k*f + 84, -4*o + 20 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11*f**2 - 4*f - 2. What is z(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1299*n - 66 = -2*q + 1301*n, 0 = 2*n + 12. Let a(i) = i + 3. Let x be a(-4). Let f be 377\/2 + x\/(-2). Calculate the greatest common divisor of q and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-21)\/70)\/(2 - 12\/10). Let m be 5\/4 + (-1)\/4. What is the nearest to m in o, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of k**4\/4 + 8*k**3\/3 - 2*k + 8. Does 31 divide r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 7. Let o(a) = -a + 22 + 0*a - 20. Let b be (-52)\/494 + 32\/(-38)*7. Determine b*l(k) + 21*o(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192961*0.2.\nAnswer: -38592.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k = 783 - 5628. Calculate the remainder when k is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 0 - 2*z + z**2 + 0 - 7 + 6 + 2. Let m(i) = 20*i**2 + 48*i + 28. Let q(n) = 8*a(n) - m(n). Factor q(p).\nAnswer: -4*(p + 5)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 66179596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 128 and 77386.\nAnswer: 9905408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25, 13, -1, -11, -11?\n\"Answer: t**3 - 7*t**2 + 2*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6536 - 4123?\nAnswer: -12661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.163 (b) 0.02 (c) -2\/13 (d) 5 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 838, 846, 854?\n\"Answer: 8*i + 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 465\/6938 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -329 - -336. What is the closest to y in -0.4, -4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 2 - 2)*(-2*f**2 + 2*f**2 + 3*f**2) + (-2*f + 2*f + 2*f**2)*(4 - 4 + 2*f**2).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 x when three letters picked without replacement from aaxccxcpc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3849751l?\nAnswer: 384.9751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*(4*p - 3*p + p)*(-3*p - 8*p - 9*p).\nAnswer: -40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142663576?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89558, 89567, 89576, 89585, 89594, 89603?\nAnswer: 89612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15956*k**3*x**3 - k**2*x**3 + k**2*x**2 + 25*k*x wrt k?\nAnswer: 95736*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-12))\/((-99)\/176). Let n(z) be the first derivative of 2\/3*z**2 + u*z + 1\/9*z**3 + 1. Find g such that n(g) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 1:45 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3\/8 - 1147*g**2\/8 + 829943*g\/2 - 414828 = 0.\nAnswer: -2484, 1, 1336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 2, -1\/2, -3\/4, 0.5, 1.37?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = s - 22 - 0, 2*s = 5*l + 40. Suppose -5*b - 8*v = -3*v + s, -4*v + 4 = 2*b. Let x(h) = h**2 + 7*h + 7. Calculate x(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 107913, 107917, 107923, 107931, 107941, 107953?\n\"Answer: p**2 + p + 107911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 - 2*n**2 + 7*n**2)*(-4*n - 3*n**2 + 4*n)*(-3*n - 3*n + 4*n) - 2403*n - 3041939*n**3 + 3041939*n**3 - n**5.\nAnswer: 5*n**5 - 2403*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -74*u - 1071. Calculate d(-16).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -48576879*f**2*s**3 + f**2*s**2 + 2*f**2*s - f**2 + 1901*f + 148*s wrt s.\nAnswer: -291461274*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Let y(k) = 6*k + 1. Let u(g) be the second derivative of -g**3 - g**2\/2 - 29898*g - 6. What is m*u(f) + 5*y(f)?\nAnswer: 6*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d6 (base 15) in base 12?\nAnswer: -1356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2658575870 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248390223.\nAnswer: 3, 82796741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17480.\nAnswer: 2, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/128 of a day in seconds?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 5*l + 15, -6*l = -10*l for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1\/4, -19, -1\/18 in ascending order.\nAnswer: -19, -1\/4, -1\/18, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = j + 38. Let x = -26 - j. Calculate the common denominator of 1\/10 and (-2)\/10*x\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/56*2 - (-382)\/4. What is the greatest common divisor of l and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1574223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22899805.562834 + 22976139.493. Let q = k - 76334. Let d = 0.07 + q. Round d to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 4, -84, 12, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -8, -14, -24, -38, -56?\n\"Answer: -2*f**2 + 4*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50 - 1) + -3*(-56)\/42. Which is greater: u or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9\/(63\/28) - -5032)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 2*h + 742, 2*s + h = 5*h + 468. Suppose -s = -7*d + 71. What is the greatest common divisor of 315 and d?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -826571137823 - -0.01.\nAnswer: -826571137822.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 211, 3, -2 in descending order.\nAnswer: 211, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 229383.\nAnswer: 1146915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 11:26 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*i + 105*i - 46*i.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 32*g**2 - 175*g + 24. What is i(5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 98*o + 1090 - 110 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 1:22 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l**2 - 2*l - 10. Let f be a(-5). Let k = f + -222. Calculate the remainder when 139 is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 37*o**2 - 54*o - 264. What is the remainder when k(-35) is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/81 and 13\/5940?\nAnswer: 17820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17998247 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, g: 9}. What is prob of picking 2 s and 1 g?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(x + 2*x - x) + 2 - 2 - 2*x + 7*x + 0*x + 10*x - x - 3 + 3.\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -4*m + 27. Let j = m + -42. Let z be 78\/8 - j\/56. What is the greatest common divisor of z and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1299971.99892 - 1299920. Let i = q - 52. Round i to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.361316 millilitres in litres?\nAnswer: 0.000361316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.4 - -22.6. Let x = i + -28.0043. Round x to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 8:57 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seventeen halves of a millisecond?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**5\/4 - 95*r**4\/12 - 85*r**3\/3 - 7583*r. Factor w(v).\nAnswer: -5*v*(v + 2)*(v + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2678022030?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/(-3)*2\/(-4). Suppose 5*p + 4*r + 6 = 0, -9 - 13 = -5*p + j*r. Solve 6 = -y - 4*t, -3*y - 4 + 0 = -p*t for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of l**7\/105 + l**6\/60 - l**5\/30 - l**4\/12 - l**2\/2 - 25. Let g(v) be the second derivative of o(v). Factor g(r).\nAnswer: 2*r*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16666 or -1\/2?\nAnswer: -16666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -25. Which is the biggest value? (a) -0.2 (b) 0 (c) g (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfwxf. Give prob of picking 1 f and 1 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 12. Are -14 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9284, -3, 1 in increasing order.\nAnswer: -5, -3, 1, 9284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 19*t + 2*y + 79199996 = 0, -2*t = 3*y - 39600006. Round t to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 18 + 4*k - 6*k.\nAnswer: 2*k - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 8*c - 81. Let n be s(0). Which is smaller: -83 or n?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -2, 315 in decreasing order.\nAnswer: 315, 48, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12 + -0.02. Let h = 0.5 + t. Let i = 0.8 - h. Which is the second biggest value? (a) 5 (b) 0.1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.32566 rounded to one dp?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -v**4\/2 - v**3\/3 + v + 2. Let m be n(-1). Is 111\/m*(-6)\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 31 = 3*v + 11, -2*y - v = -70. Calculate the highest common divisor of 108 and y.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m**2 - 4 - 1 - 35*m**2 + 4 in the form l*m**2 + p + f*m and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 8) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - p - 17 = 10, 3*z = 4*p + 4. What is the highest common divisor of 84 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -8. Calculate the common denominator of -1 + (23\/o - 3) and 7\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6711438 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 15. Let v be c(-10). Suppose 4*i = 4*o - 1552, -v*o + 3*i = -497 - 1437. Suppose 7*f - 2*w = 2*f + 633, -3*f = 4*w - o. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -17b56?\nAnswer: -17b5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2136 = 2*x - x + 2131 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/(-78) - ((-2472)\/(-156) + -16)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -600879 or -7811432\/13?\nAnswer: -7811432\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 9*s**2 + 12*s - 15. Let b be n(10). Suppose b*g = 3*i - i - 2082, 0 = -i + 5*g + 1051. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.26 - -267.3296?\nAnswer: 277.5896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.022 - -0.178. Let r = -150 + 153. Which is the closest to 2? (a) 3\/17 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - m - 8 = 0. Let y(c) = 2*c**2 - c**2 - 2*c**m. Let u(g) = g**2 - g + 1. Let d(v) = v**2 + 2*v - 2. Let t(z) = d(z) + 2*u(z). Calculate t(y(a)).\nAnswer: 3*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 0. Let u = 1 - t. Suppose o - 7 - 3 = u. What is the remainder when 18 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 - 67 - 19 - 53 + 178 - 39.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*-2*(-72)\/(-468).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33.4538 + 33.4. Let z = s - -0.0537031. What is z rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71*-99609.\nAnswer: -7072239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -26 - (10 + -21 + 17) - 58\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 30 = 2*u, 45 = -u - 5*p - 5. Let r be ((-12)\/(-10))\/((-20)\/u). Factor -r*n**3 + 3 + 0*n**2 + 9\/2*n.\nAnswer: -3*(n - 2)*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.3, 0.4, 0.36, -3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 3. Let q(c) = 3*c + 4. Let y(n) = -4*h(n) + 3*q(n). Let m(w) = 7*w. Give m(y(i)).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - 2 - (-98 - -104)) + 16 - 7\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334575339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*n + 126*n = -2*s - 3, -2*n - 6 = s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (9 - (-12 - -20)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 + 32186660*s\/3 + 53644450.\nAnswer: -2*(s - 16093335)*(s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*a - 1)*(5*a**2 - 2*a**2 - a**2 + (2*a + 2*a - 5*a)*(a - 2*a + 2*a) - 512 + 512 - 54*a**2) - 2 + 5*a**3 - a**3 + 0.\nAnswer: -102*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/11 - -2 - (-34 - (-18928)\/440)?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffjfjjf. What is prob of picking 3 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 4*j, -3*o = -o + 3*j + 1. Suppose -41*i + o = -39*i - 2*p, 0 = 2*p + 2. Let s(a) = -2 + 2 + 8*a. Calculate s(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -46*k + 41*k + 15. Solve 0 = -k*w + 4 + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2267415 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 77393554 and 3577013?\nAnswer: 851329094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17748, 17693, 17544, 17253, 16772, 16053, 15048, 13709?\nAnswer: 11988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*x - 5, y = 5*x - 67 + 12. Let i(r) = 3*r**3 + 2*r**2 + 4*r - 1. Let d be i(3). What is the highest common factor of d and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-9 - 96) - ((-14 - -11) + 15)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/9 (b) -0.3 (c) -15 (d) -38 (e) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**3 - l**2 + 2*l - 1. Let i = -4 - -4. Suppose i*m + m + s - 3 = 0, -2*m + 9 = 5*s. Suppose -h - 2 = h - o, -m*o + 3 = -5*h. Determine q(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -42. Let v = -25 - o. Let t = 17 - v. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-536)\/(-2144))\/(((-2)\/6)\/((-88)\/(-12))).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 2 + 2)*(-2*s**2 - 2*s**2 + 5*s**2) + 10 + 7*s**4 - 10 - 2*s**4 + 0*s**4 - s**4 + (2*s**3 - s**2 + s**2)*(5*s - 5*s + 3*s - 19).\nAnswer: 11*s**4 - 38*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 23 = 4*s, -2*g + 3*g + 4*s + 19 = 0. Suppose -q + g = -11. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 6. Let b = -13 - -77. Let c = 60 - b. Let x be s(c). What is the closest to -1 in -1\/6, 0.4, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/60)\/((-1)\/(-2)) + (-12)\/30. Solve 5*m - 65*s + 64*s + 15 = p, -16 = -2*m - 4*s for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxaa when four letters picked without replacement from {a: 2, x: 2, i: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -19*x. Let c(p) = -3*p**2 - 2*p**2 + 39*p - 27*p + 7 - 12*p. What is l(c(w))?\nAnswer: 95*w**2 - 133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30426 by -3.\nAnswer: -10142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 208.34113047 rounded to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*s + 152 - 152 to the form h + a*s and give a.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 + -14. Let x = -21 + i. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of 2*a**2 - 7*a + 0 - 7\/24*a**4 + 5\/2*a**3. Let w(r) be the first derivative of i(r). Differentiate w(g) with respect to g.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38979, -155723, -350235, -622515?\nAnswer: -972563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 15*y - 12*y + 4, -1 = d + y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-37)\/3 + 24\/72. Let n(f) = -2*f**2 - 5*f - 3. Let r be n(-3). Let v = r - q. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-132)\/(-8)*(-5)\/((-45)\/6). Let l = r - 6. Solve n + 4*u + 1 = 9, -n - u = -l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -325, -292, -257, -220?\n\"Answer: z**2 + 30*z - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243687132 is divided by 859?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10.2 * 9418.\nAnswer: 96063.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13266 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*(14 - 12). Let a(u) be the first derivative of -5*u**4\/4 - u**3\/3 + u**2\/2 - u - 1287. Calculate a(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 244.71 + 20.69. Let m = 105 - 340. Let z = m + g. Round z to the nearest integer.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 28 and 28 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, -1, 11, 1 in descending order.\nAnswer: 11, 4, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2467324675984*n**2 + 56547792*n - 324 = 0. Calculate n.\nAnswer: 9\/785386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790745?\nAnswer: 5, 167, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 plus -1418.2558?\nAnswer: -1496.2558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((2*(sqrt(612) + -1) - (sqrt(612)*-3 + 0)) + -2)*5 + -4)**2.\nAnswer: -7200*sqrt(17) + 383076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1877214835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*d**3 + 81*d**3 + 41*d**3.\nAnswer: 96*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 15*h**2 + 61*h - 538. Let z be f(14). Calculate the greatest common factor of 28 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -127.4 - -110. Let h = -17 - c. Let s be 4\/4 + (-10)\/12. What is the third biggest value in -2\/9, s, h?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5609593 is divided by 311629?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45950563\/451 + -101886. Calculate the common denominator of (-106)\/12 - (1 + (-7)\/7) and k.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 0.105122.\nAnswer: 0.605122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 865055 > 865057?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/374 and -113\/306.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -2. Suppose m = 7*g - 15. What is the remainder when g*4\/(-48)*-412 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/247 and 319\/(-55)*55\/66.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 11*k**2 - k**3 - 11*k**2 + 4*k**3 + 2. What is the tens digit of s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/20)\/(155\/2480))\/(42\/(-20))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:20 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 772*u - 203051*u**3 - 128*u**2 + 203047*u**3 - 120*u**2 - 520 = 0. What is u?\nAnswer: -65, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -19, -19, -1, 41, 113?\n\"Answer: l**3 + 3*l**2 - 16*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4499 - 4504. Suppose 4*t = 4*n - 4, -4*t = 4*n - 9*t - 3. Sort -3, -29, h, n in descending order.\nAnswer: n, -3, h, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -13. Suppose 0 = 3*p + 2*p + 5*b + 15, 2*b + 14 = n*p. What is the first derivative of -5*y**2 + 8*y**2 - 5 - 4*y**p wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2220.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24.061 - 0.061. Let a = 23.89 - b. Let z = -650\/7 - -93. Put a, z, 3\/7 in increasing order.\nAnswer: a, z, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/(12\/18). Let s(b) = -1 - b**3 - b**3 - q + 3*b + 2*b**2 + b**3. Let u be s(2). Solve 1 = -3*k - x - 6, 0 = -u*k + 2*x - 26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7749951?\nAnswer: 3, 11, 234847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 28 - 3 + 4 = -3*g + 11, -5*g - 30 = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 21. Let u be o(3). Solve -5*d - u = 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -417, -427, -443, -465, -493, -527?\n\"Answer: -3*b**2 - b - 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p**3 + 304*p - 15*p**3 - 304*p + 32*p**3.\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:18 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kw when two letters picked without replacement from onwtowvookkvo.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6917987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1668721, 1668714, 1668709, 1668706, 1668705?\nAnswer: 1668706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.6 - 7.4. Let d = n - -46.18. Let r = -7.4 + d. What is r rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 12*n**2 + 49*n - 2. Let b be p(-4). What is the nearest to b in -4, 2, 7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2*m - 9. Let b(q) = 9*q**2 - 11*q. Is 19 a factor of b(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5 = 5*y - 3*z, 0 = z - 1. Let l(q) = -2*q + 17. Let b be l(6). Let j = b - y. Solve j*u + 20 = -u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6845 is divided by 1650?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**2 + 4*c**2 - 2*c**3 + (0*c + c + c)*(c + 9*c**2 - c) - c**3 + c**2 - c**2.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33008417015 and -758.\nAnswer: 33008416257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f + 9*f**3 + 7*f + 240*f**3)*(f + 0 + 0).\nAnswer: 249*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-277)\/5 + (-200)\/125. Let v = a + 1037. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4522 (base 11) in base 2?\nAnswer: 1011101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -58 (b) 0.2 (c) 3 (d) 5 (e) 15.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2973 - -2973.02. Sort -6, n, 4 in increasing order.\nAnswer: -6, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 3252.\nAnswer: -17\/3252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 21, 64, 133, 234, 373?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -138\/7, 1\/2, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 59 = 39 + 72. Calculate the greatest common divisor of 697 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.897 + 0.9. Let d = 0.003 - r. Let k = 0 + -4. What is the second biggest value in -5, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2545317317?\nAnswer: 223, 419, 27241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f - 2527 = -0*f - 10381. Suppose -4*n + 26 + 90 = 0. Calculate the remainder when f is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -155\/264 and 113\/295548?\nAnswer: 591096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 18. Suppose -15 = -3*r + 3*i, 5*i + n + 17 = 3*r. Suppose 0 = r*m - 11 - 1. Solve -m*g = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11441 and 323.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -10*a**3 + 208*a**2 + 48*a - 124. Calculate j(21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146880612 to the nearest integer?\nAnswer: 12119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v = 44. Let p = -13 - v. What is the greatest common factor of 81 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 28*k - 2. Let a be r(4). Let i = -92 + a. Suppose 0 = -u - 4*u + 80. What is the lowest common multiple of u and i?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/(2940\/(-408))*-5*1\/4*-2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 6*c - 10 - 11 + 9 - 14.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 341082 and 294.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 6*d**3 + 14*d**3 + 8*d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 2*s**3 + s**3 + (-26*s + 3*s**3 - s**3 + 57 - 59)*(23 + 14 + 24).\nAnswer: 123*s**3 - 1586*s - 122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-5)*(-3 - -7). Which is the second biggest value? (a) -0.3 (b) w (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 - 2*m**2 - 2*m**2)*(180 - 107 + 175) in the form d*m + r + h*m**2 and give h.\nAnswer: -744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -858\/215 + 1473383\/1290. Suppose k + 3402 = 4*k. Let s = k - c. Find the common denominator of s and -89\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12655*j**3 + 27870*j**2 - 17775*j + 2560 = 0. What is j?\nAnswer: 512\/2531, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3 - 7 = 0. Suppose -m*y = 4*y - 36. Suppose 2*k - 6 = y. Calculate the greatest common divisor of k and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8344*v - 2069314. What is j(-248)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8\/r**(-1\/4))**(-46)*((r**(-3))**(-8))**(-3) assuming r is positive.\nAnswer: r**(-903\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -52 - -13. Let r = -22 - c. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 15*a**2 + 2*a - 29. Let l be s(-14). Let c = -98 + l. Is 22 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13255 divided by 5.\nAnswer: 2651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -8, -2, -0.1 in descending order.\nAnswer: -0.1, -2, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 12943783 and 12943808 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2 - 3) + (5 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -7*c**3 - 5*c**2 - 3*c - 4. Is b(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -230 - -231. What is the closest to 1\/11 in -0.5, -5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(160)\/sqrt(4))\/(1*sqrt(8)*6).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47602 is divided by 15448?\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p + 19. Let k be d(0). Suppose -3*i + 19 = -7*i - t, i + 5*t = -k. Is -4 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13807078 rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 6*w**3 + 6*w**2 - 2*w + 1. Let c(x) = x**3 + x**2 - x - 1. Let y(s) = 5*c(s) - j(s). What is the remainder when 37 is divided by y(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 1. Let o(u) = 15 + 15 - 58 + 19 + 14 + 8*u. What is -6*h(a) + o(a)?\nAnswer: 8*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -44245 - 11464075923\nAnswer: -11464120168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 39990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41 - 50 + 267 - 7 + 85*a with respect to a.\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -140*b*d**4 - 68*b*d**2 + 2*b*d - 903*d**4 - 92784*d**2 wrt d.\nAnswer: -3360*b*d - 21672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhj when three letters picked without replacement from {h: 1, j: 1, f: 2, c: 1, i: 1, e: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -3)*7\/((-168)\/16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 3901792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -484122 divided by 417?\nAnswer: -161374\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3381, 13513, 30379, 53979, 84313?\nAnswer: 121381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s + 60 = -0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 i, and 1 h when three letters picked without replacement from icbbibddphdbpbdpbpbb.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 65 = b, -p + 2*b - 42 = -3*p. Let f(m) = -m**3 + 15*m**2 - 17*m + 21. Let c be f(14). Let s = p + c. Does s = -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32687 is divided by 6387.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 2. Let p be d(-8). Suppose p*f - f + 5 = 0. Suppose 0 = -3*y - 6. Put y, f, -4 in descending order.\nAnswer: f, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 416 + -856.\nAnswer: -440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 33493 greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28a803 (base 12) to base 8.\nAnswer: -2464003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 f when three letters picked without replacement from {j: 9, i: 4, f: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 33*h - 102. Let u be n(-37). Suppose -11*f - u = 86. What is the smallest value in f, -1, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 14*j + 12, 3*h - 6*j - 750 = 0. Calculate the smallest common multiple of 10 and h.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 43*y + 131. Give v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-14))\/(36\/(-42)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 1\/4*h**4 - 2\/3*h**3 + 2*h - 4 - 1\/2*h**2. Determine n so that o(n) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1452 divided by -12\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21654 + -21655. Which is the second smallest value? (a) 2.4 (b) -0.2 (c) 3 (d) g (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59887643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 6 + 6 = 0. Calculate the common denominator of s - 5 - (-1 - 1101\/204) and -71\/32.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -474208 - -10\nAnswer: -474198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 0*c - 2*c)*(-35*c**4 - 30*c**4 + 25*c**4).\nAnswer: 80*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -16. Calculate the greatest common factor of s and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52*i**6 + 3*i**3 + 20*i**2 - i?\nAnswer: -6240*i**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o. Let t be 2 + -2 + 19 + 2. Let g = 15 - t. Let i(r) = 5*r. Let h(q) = -119*q. Let u(w) = 2*h(w) + 49*i(w). Give g*f(p) - u(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 4*x**2 + 3*x**2 - 13*x**2 + 15*x**2 - 7*x**2 - 2*x**2 - x**2 + 5*x**2 + (0 - 2 + 4)*(-2*x**2 - x**2 + 5*x**2) + (-1 + 1 - 2*x)*(-x + 0 + 0).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5020, -4991, -4950, -4903, -4856?\n\"Answer: -c**3 + 12*c**2 - 5031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*h - 10, -4 - 6 = -2*h. Let j = 2 + f. Let c = 1 - -5. Calculate the highest common divisor of c and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27481 divided by -15049.\nAnswer: -27481\/15049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 773*s**6 + 439*s**2.\nAnswer: 92760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004.\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5699186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 210, 708, 1676, 3270, 5646?\nAnswer: 8960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 78*r**2 - 33*r + 513. Give w(-79).\nAnswer: -3121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5832 = 1843. Let q be ((-10)\/2 + -112)*106\/(-8). Let y = a - q. What is the common denominator of -101\/10 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 5)*(20*t + 17*t - 14*t) in the form l + f*t and give f.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6864 is divided by 51.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4884.648 - -2.99.\nAnswer: 4887.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 10*p**2 + 25*p**2 - 2*p to v + b*p + m*p**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x + 12 = 0. Let z be 5 - -1 - (8 - x). What is the third derivative of 28*b**5 - 22*b**5 + 0*b**2 - z*b**2 wrt b?\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - 5 - (7 + -1))*-309. Suppose -306 - 339 = -4*h - t, 2*h = -5*t + y. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + o = -19, 4*v - v - 4*o = -19. Let k be (-12 + 348\/24)*(-4)\/v. Solve 5*y + c = k + 9, -4*c = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 700 divided by -140\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 155375244431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + i**2 + 3)*(4 + 270*i**2 + 268*i**2 - 68*i - 540*i**2) to the form m*i**3 + p + c*i**4 + v*i + g*i**2 and give m.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 133903 to the power of 1\/2, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.012 and -0.029.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1132*b - 18*b**3 - 1 - 1132*b.\nAnswer: -18*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 6) to base 11\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 + -10. Let g = n - 42. Suppose 4*i - 163199996 = -4*f, g*f + 5*i + 122400005 = 3*f. What is f rounded to the nearest one million?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/8 (b) 1.818 (c) -2\/5 (d) -3 (e) 5 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-250)\/(-4) - (-9)\/(-6). Determine i so that -28 - 37 - 8*i**2 + c - 18*i = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.29 - -0.207. Let t = r + -44.917. Let i = t - -50. Which is bigger: -1\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.4 or 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 245*s**2 + 19600*s + 2. Let q be j(-80). Let d = 2 + -3. Sort d, 10, 7, q in decreasing order.\nAnswer: 10, 7, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**6\/15 + 3*c**5\/10 - 4*c**3\/3 - 34*c. What is r in b(r) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 10:37 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10385 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 4. Let l be -4*(-1 + 2)*-1. Suppose 4*u - 157 = -l*n - 61, u - a*n - 24 = 0. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1312318 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by (-4)\/14 + 415\/(-7)*-1.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 0 + 10)*(2 + 2 - 3)*(3*r + 1 - 1).\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 1:46 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021318802 rounded to four decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 1481?\nAnswer: 119961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**4 + 40*l**3 - 36*l**2.\nAnswer: -4*l**2*(l - 9)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**8\/6720 - d**7\/840 + 9*d**4\/8 - 21*d**2. Let t(g) be the second derivative of x(g). Solve t(j) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20892491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1069, 1503, 1937, 2371?\nAnswer: 2805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 + 2*v**2 - 2*v - 1. Suppose -7*k + 12 = -2. Calculate i(k).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*m**2 - m**2 + 8*m**3 + 2*m - 9*m**3 + 8*m**3 to q*m**3 + a*m**2 + r*m + f and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 4*v + 13*v.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 16 = 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 5*d**2 - 5*d. Let y(v) = -v**2 - v. What is -6*i(a) + 30*y(a)?\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - 1*sqrt(110)\/sqrt(10))**2 + -2 - (-4*1*sqrt(11) + -2)) + 2.\nAnswer: 2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 12:41 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 3*q**2 + 2*q**2)*(4 - 4 - 6)*(-3 - 2 + 3)*(0*q + 4 - 2 - q).\nAnswer: 36*q**3 - 72*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73337 less than or equal to 73353?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4409, -10849, -21251, -37595, -61861, -96029?\nAnswer: -142079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t + 2 = 17*t. Let d = 3.4 + -0.9. Let j = d + -2. Which is the second smallest value? (a) t (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)*k**(7\/3))\/(k**4*k*k**0\/k)*(((k**(-5\/6)\/k)\/k)\/k)\/k**0*k**0\/k**(2\/11) assuming k is positive.\nAnswer: k**(-235\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.22, 2\/41, -4, -2.\nAnswer: -4, -2, -0.3, 2\/41, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1323281*l**2*w - 7439565*l**2 with respect to w.\nAnswer: -1323281*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (5 + (-13 - -1) - (1 + -7))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 2648*m + 2647*m - 1, 0 = -5*j + m - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6018 or -39085?\nAnswer: -39085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00359612311 to 5 dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1\/14612456?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 + 36. Calculate the common denominator of 25\/4 and (1\/(-4))\/(x\/177).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 1:50 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1959*c + 2020*c - 1197*c = -568*c - 80400 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-204)\/(-30))\/(((-28)\/120)\/7). Let m be (-2 - -3) + (-3 - -4). Let l be (c\/36)\/(m\/(-12)). What is the highest common factor of 17 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 7*h = 2*h - 5, -5*a - 23 = h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 403515621.\nAnswer: 403515621.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100031 (base 6) to base 14.\nAnswer: -2bab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {j: 3, y: 9}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**1)**(9\/5)*a**(-1\/4)*(a\/(a\/(a*a\/a**(2\/11))))\/a*a*a)\/((a*a**(-11))\/(a*a**7\/a))**(2\/69) assuming a is positive.\nAnswer: a**(101113\/15180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 200460919 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*c**4*f*h + 172987*c**4*h + 68*c**2*f*h - c**2*f + c**2 - 3992*c*f wrt c.\nAnswer: -312*c*f*h + 4151688*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*v - 2*v. Let b = v - 0. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 8*r**2 + 7*r - 40. Let c be b(-9). Let f = -724 + c. What are the prime factors of f?\nAnswer: 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4135 times 131?\nAnswer: -541685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*w - 97 = 0, -3*z + 5*w + 91 = 4*w. Let b be (z\/(-2))\/(68\/8 + -6). Which is smaller: -7 or b?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 3?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ca902 (base 13) in base 7?\nAnswer: -6161125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1204231466 + -1?\nAnswer: -1204231500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5487060734 to the power of 1\/2, to the nearest integer?\nAnswer: 74075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 912*a**3 - 11304*a**3 + 10252*a**3.\nAnswer: -140*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*y + 43, -6*o = -4*y - 2*o - 68. Let l = y - -690. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125 - -99. Let s = j + -114. Let g = s + -61. What is the greatest common factor of 7 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8 - 4*t - 4*t + 3*t. Let c(z) be the second derivative of -3*z**3\/2 + 15*z**2\/2 - 3*z. Let f = -6 - -17. Determine f*p(x) - 6*c(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/63?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2*m**3 - m**2 - 4*m + 27. Give v(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 25*p - 55. Determine g(-14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -567*x + 1055 - 6031 = 2962 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 9*i**2 + i - 11. Determine a(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -75*c. Let r(k) = k**2 + k. Calculate -375*r(h) - 5*z(h).\nAnswer: -375*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 120 + -120. Let b(y) = 6*y**3 + y + 3. Let t be b(k). Solve t*u - 1 = 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16295853, 16295813, 16295773, 16295733, 16295693?\nAnswer: 16295653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 = f, 3*z + 12 = 7*z. Suppose 0*q + 3*q - 8 = y, 2*y + 4 = f*q. What is the remainder when 45 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as -27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - p - 2 = 0, 2*f + 2891*p = 2888*p + 8 + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*f**2 + 0*f**2 - 2*f**2)*(-2*f - 2 - 1 + 2) + (-f - 57 + 57)*(2*f - 2*f - f**2) to v*f**3 + i + q*f**2 + h*f and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*i - 2*i - i)*(-1 + 1 - 3*i**2)*(2*i + i + 2*i) to u*i**2 + t*i**4 + j*i**3 + p + x*i and give t.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2183 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*u - 74*u - 48 = 87*u. Suppose 4*n + 3*l - 3 = -0*l, 5*n = -4*l + 3. Suppose 0 = t - 5*h - 13, -2*t + t + n*h = -11. Solve -t = -0*k - u*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15\/(-18)*20\/50 + (-7801)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146 divided by -65\nAnswer: 146\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29 - 1) + -43 - -40?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/2 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = z - 4*z + 1503, 0 = -3*z + w + 1503. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/v**0)\/v)**(23\/3)*((v*v**(1\/2))\/v*v)**(3\/16))\/(v*v**8*v*v*v*v**(2\/7))**(3\/19) assuming v is positive.\nAnswer: v**(76711\/12768)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5\/4 (b) 2\/5 (c) 13.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2 - 1086048*c - 7602140 = 0. Calculate c.\nAnswer: -271505, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 (base 14) in base 2?\nAnswer: 11101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 298 - 296. Put h, 4, 0 in decreasing order.\nAnswer: 4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 6*g + 1. Let u be j(-7). Which is the second smallest value? (a) u (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19627872 and 168.\nAnswer: 137395104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 81*v = 78*v. Suppose -4*x = 2*g - 24, 2*x - 2*g = -x + 4. Solve v = -m - x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8*y + 1. Give q(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (1 + -2 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3 = -9. Suppose a*v + 156 = -3. Let j be -3 + 0 + v\/(-17). What is the second smallest value in 3, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + 8 + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 3 (c) 6 (d) -1844 (e) -4 (f) -18 (g) -0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -24 (c) 1 (d) 0 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1131254975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose d - 125 = -2*d + 4*k, 4*d = -2*k + 174. Suppose -3 + d = 8*b. Solve -b*r - 3 = j for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6897503?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -10070.\nAnswer: 20140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g - 2. What is i(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48470 - -70183. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 31*r = -28*r - 132734, 19*r = 3*a - 198913. What are the prime factors of a?\nAnswer: 5, 23, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -28299*s**2 + 12 + 28300*s**2 - 12. Let b(g) = 2*g**2 - 11. Determine q(b(j)).\nAnswer: 4*j**4 - 44*j**2 + 121","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 + 3*o + 1. Suppose 6*k + 45 = -3*k. Give p(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 81. Suppose -w = 3*s - 4*z, s - z - 3*z + 14 = 0. Suppose 0 = -3*c + 6*c - 9. Solve -c*v + v + s = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43363 (base 8) to base 10.\nAnswer: 18163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.049 - -0.027. Let m = 0.216 - b. Let u = -0.184 + m. Round u to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.01 - -4.51. Let p be (-6 - -8) + (2 - 0). Sort 0.09, -1, p, a.\nAnswer: -1, a, 0.09, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23520 = 530*o - 545*o. Which is bigger: 1567 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/6 and -69\/490.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 c when four letters picked without replacement from cccccbccbccb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 10738561 + -4.396\nAnswer: 10738556.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 320041 (base 6) to base 7\nAnswer: 135433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -g**8\/5040 - g**7\/2520 + g**6\/540 + 9*g**3\/2 - 7*g**2. Let z(f) be the first derivative of c(f). Let z(h) = 0. Calculate h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 16*w**2 - 20*w + 5. Let x(t) = -3*t**2 + 4*t - 1. Let k(f) = 2*q(f) + 10*x(f). Suppose -3 + 1 = -m. Let o(h) = -2 - m*h + 2. Calculate o(k(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 5. Let o be s - (-1 - 2 - -3). Suppose -3*j + 3*l + 29 - 2 = o, -2*j + 3*l + 20 = 0. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3 - 23766\/(-2097). Solve -v = -8*r + 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*c - c - c)*(-1 - 2 + 1) + 2*c - 2*c + c + 2*c - 10*c + 26*c)*(-9*c + 1 - c + 9*c).\nAnswer: -23*c**2 + 23*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = r + r. Suppose 0 = -3*q - 4*q - 588. Let i = 89 + q. What is the remainder when r is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, 17\/4, -2, 49, -12\/19, -0.07?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121941.099998 - 121941. Let z = j - 0.1. Round z to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000047957 to six dps.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + sqrt(125)*-2 + 5)**2 + -2 - ((0 + sqrt(245))**2 + -2*sqrt(5)*1).\nAnswer: -48*sqrt(5) - 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 8:41 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i**3 + 7*i**2 + 5*i + 4. Let f(b) = 3*b**3 + 3*b**2 + 2*b + 2. Suppose -5*h - o = 6, 4*h - 6 = 3*h - 2*o. What is h*d(m) + 5*f(m)?\nAnswer: m**3 + m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/6 and -47\/684.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*p + 32*p + 33*p + 34*p + 31*p + 35*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15660147 to the power of 1\/3, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**3*s**2 + 44313*i**3 + 2*i*s**2 + 47*i*s + 8*i - 14*s**2 wrt i?\nAnswer: 6*i*s**2 + 265878*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/6 + 225409*n**2\/6 - 6350757676*n\/3 - 44460826424\/3.\nAnswer: -(n - 112708)**2*(n + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*15\/(-20)*216\/162*124\/36.\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9394 + 9393. Which is the fourth biggest value? (a) -0.4 (b) -2\/481 (c) 1 (d) 0.1 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 2*v - 20. Determine y(5).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 7:40 AM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**3\/5 + 1292*c**2\/5 - 74804*c\/5 - 76092\/5 = 0. Calculate c.\nAnswer: -373, -1, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 12*m - 10. Let r be w(-11). Solve -r = -3*u - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, y: 4}. What is prob of sequence xx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*l - 321, -3*k + 12*l + 951 = 9*l. What is the greatest common factor of k and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 - 4852.\nAnswer: -4761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 1 - (-6 - (-12 + 12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 AM and 1:58 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 39 - -25 - (-3 - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 455*q**3 + 81*q**2 + q - 152182?\nAnswer: 1365*q**2 + 162*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19\/24 + 9\/8. What is the smallest value in x, -0.4, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**5\/9 - 146*w**4\/9 + 54148*w**3\/9 + 1464484*w**2\/9 - 429095810*w\/9 + 8489402350\/9 = 0.\nAnswer: -143, 23, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k + 38*k + 99*k = 29*k + 5538 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**2 + l**2 - 3*l**2 - 12)*(-2*l**2 - 3*l + 3*l) - 4*l**4 + l**4 + l**4 to w*l**2 + t*l**4 + n*l**3 + y + d*l and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-40) - 2\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1050 = -3*d - 5*c, -3*d - c - 700 = 338. Let p be (d\/(-9))\/(12\/(-36)). Let l = -111 - p. Solve 5*y + 5*f + 5 = 0, y + l*f + 13 = 6*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -115?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*k**2 + 260*k**2 - 1236*k**2 + 247*k**2 + 243*k**2 + 241*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5316448, 10632895, 15949342, 21265789, 26582236, 31898683?\n\"Answer: 5316447*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 2*m**2 + 246*m - m**2 - 14 + 320*m.\nAnswer: m**2 + 566*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/4 of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -4*r**5\/15 + 5*r**3\/3 - 9*r**2 - 28*r. Let c(i) be the first derivative of n(i). Differentiate c(g) with respect to g.\nAnswer: -32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -1.8\nAnswer: 1.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1113210 and 368125.\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5\/5 - 8573*v**4\/5 - 3634210*v**3 + 174460180*v**2 - 334369800*v = 0.\nAnswer: -4310, 0, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 83*l - 4613835 + 71992. What are the prime factors of l?\nAnswer: 54721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.53 - -14.53. Which is smaller: -255 or x?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -5, -3, 2, 1, -37, 10.\nAnswer: -37, -5, -3, 1, 2, 10, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 228 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 2 - (1949 - 1993).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, m: 12, w: 2}. What is prob of sequence eemw?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.09 (b) -0.6 (c) -9370\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -65. Suppose 3*g = 2*p + 177, 5*g - 3*p - 302 = -2*p. Suppose -g - 219 = -10*s. Which is greater: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/636102 and 71\/14?\nAnswer: 4452714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-105)*-5*-27?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76313761 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: Product of -0.3 and 442597.\nAnswer: -132779.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 773.\nAnswer: 6184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/3 - 1\/(-3). Calculate the remainder when 42 - 0 - (d + 4) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*6*(-8 + (-1606)\/(-33)). Calculate the greatest common divisor of 24 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/3, -3, 2\/7 in descending order.\nAnswer: 2, 2\/3, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-16)\/(-36)*((-45)\/(-4))\/15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 6*o**2 - o. Let v be w(-6). Suppose -5 - 3 = 4*j - 5*u, -v = 2*j - 3*u. Suppose -j*a = -4*a + 3. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**5\/40 + 4*u. Suppose t(q) = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2089045392 to the nearest integer?\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45855331 - -4?\nAnswer: 45855335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 143c7 (base 13) to base 15\nAnswer: b3e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 46071*f**2 + 2*f. Let x(z) = -20*z. Give x(k(m)).\nAnswer: -921420*m**2 - 40*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7058496*j**3 - 164*j**2 + 880519?\nAnswer: 42350976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r + 50*r + 3 - r.\nAnswer: 36*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-534.21788.\nAnswer: 160.265364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3\/2 - 5*g**2\/2 - 11*g\/2 - 3\/2.\nAnswer: (g - 3)*(g + 1)*(3*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n**3 + n**3 + 0*n**3)*(0 - 4 - 2 + (-1 + 0 - 1)*(-2 + 1 + 3)) to the form f*n**3 + g*n + d*n**2 + x and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -71, -130, -245, -434?\nAnswer: -715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 - -84. Let t(z) = -1 + 1 - z**2 + l - 3*z + 0. Let j be t(-4). Put 5, 2, 1, j in increasing order.\nAnswer: j, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/18 + (-15)\/(-9). Suppose -7*h + 6*h = -u. Solve 22 = 4*a - z + h*z, 5*a - z - 24 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 2609*q**3 - 36150*q**2 + 18074*q**2 + 18076*q**2 in the form z*q**3 + o + f*q + y*q**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5013*b**2*c**3*f**3 - 8*b**2*c*f**3 + 6*b**2*c*f**2 - 28*b**2*f**2 + 2*b**2 + 9*b*c + 13*b*f**3 - 2398*c**3 + c*f**2 wrt c.\nAnswer: -30078*b**2*c*f**3 - 14388*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.04 (b) -2\/21 (c) -0.02 (d) -0.1 (e) 3 (f) -1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 9*g + 4*g - 32*g - 2*g + 12*g - 152*g**2.\nAnswer: -152*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 732 = 4*d, 584 = -12*x + 16*x + 4*d. Solve 71*h - 136 = x for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-557)\/(-90) + (-8)\/(-40) and 5\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 5:40 PM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 795026.7km to meters.\nAnswer: 795026700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u + 0*u - 8*u to the form w + h*u and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, k: 7}. Give prob of sequence wkkk.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-12)*y*y**(10\/9))\/(y**(1\/2)\/(y\/y**18)))**(-2\/97) assuming y is positive.\nAnswer: y**(493\/873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30422, -60853, -91284?\nAnswer: -121715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.58 - 302.32. Let c = o + 198.2. What is c rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2407.5 times 16\nAnswer: -38520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.906204 decades to centuries.\nAnswer: 0.6906204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 46277748?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 6:49 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -28889.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 91*g + 12 = 95*g, 2*g - 16 = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71709 and 6314?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y - 380 = 0. Let t = y - -94. Let i(b) = -10*b. Calculate the remainder when i(-7) is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*f + 704009 - 2433751 = 0. Let k = -95852 - -157405. Let p = k - f. Round p to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10 - 10557\/(-18630)) + (-113)\/(-6)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 267 + 1762312\nAnswer: 1762579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 89*t. Let p(k) = 3367495*k**2. Give m(p(h)).\nAnswer: 299707055*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 123486230 and 6.\nAnswer: 740917380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 1\/6, 5, 12, -31?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 + 2671*a**3 - 97649*a**2 - 282135*a + 104796 = 0.\nAnswer: -3, 1\/3, 41, 852","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 divided by -128.\nAnswer: 115\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 777*y. Let c(s) = -7*s**2 - 3*s. Give u(c(q)).\nAnswer: -5439*q**2 - 2331*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 3*n. Let b(k) = -2*k**2 - 4*k. What is 3*b(g) - 4*t(g)?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15425 and -0.21.\nAnswer: 3239.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 6.509338 and -1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107485303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -147 in -2, -3, -5, -166?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/13 - 1132*j**3\/13 - 8022*j**2\/13 = 0. What is j?\nAnswer: -7, 0, 573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493442313?\nAnswer: 3, 7, 13, 257, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -103.\nAnswer: -103, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -27804062456178.\nAnswer: -27804062456172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 968\/198 - (-24)\/(-6)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.6 + -3. Let j = -0.3 - z. Let m = 1017\/7 - 145. What is the nearest to -1 in m, j, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 205 in 0, 2\/21, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 22*v - 179. Let y(k) = -27*k + 332. Let s be y(12). Determine u(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7813 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**2 - 5*p**2 - 2*p**3)*(-p - p - p + 4*p - 3*p - 2*p + (3*p - 3*p + 2*p)*(2 - 4 + 3) + 1 - 1 + p).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 0 - 1\/24*i**4 + 0*i**3 + 0*i + 2*i**2. Let o(v) = 4*v + 5*v - 6*v - v. What is z(o(q))?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/24 of a century?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 385 and 1309.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 q, and 2 h when four letters picked without replacement from {q: 1, h: 6, m: 7}.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**2 + 4790825 - 4790825.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8073)\/(-1014) + (-1)\/(-26). Solve 0 = -2*h - 5*y - 18, -12*y + w*y = 2*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 1 - 13. Let x(s) = s**2 - 2*s + 1. Let t be x(q). Solve -3*m - 4 = -t*u, 0 = 4*u - 3*u - 4*m + 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 73, 676, 1689, 3118, 4969?\n\"Answer: t**3 + 199*t**2 - t - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -791, -3145, -7059, -12533?\n\"Answer: -780*y**2 - 14*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 7:56 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 5. Let x be u(-4). Suppose 4*q = 0, -2*l - 3*l = -2*q - 20. Suppose 0*d + l*d + 16 = 0. Is d > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3 + -1 + sqrt(704))**2 + -4)*-2.\nAnswer: -1433 + 128*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -130223331 (base 4) in base 15?\nAnswer: -24c36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**4 - 62*x**3 - 168*x**2 + 4888*x + 9920 = 0.\nAnswer: -8, -2, 10, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sj when two letters picked without replacement from {n: 6, s: 2, j: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + a - 4*a - 10 = 0, 2*r - a - 2 = 0. Let x be (2 + 0)*r\/(-2). Calculate the common denominator of (x - 0) + (-177)\/15 and 44\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/2*c**2 + 5\/2*c**3 + 0 - 5\/2*c**4 - 3*c + 1\/2*c**5 = 0. Calculate c.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12*(2 + -1))\/(381\/254). Let w = 455 + -450. Sort w, 4, -4, z in descending order.\nAnswer: w, 4, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*m = 5*p - 17*m - 2238, 1356 = 3*p - m. What is the lowest common multiple of p and 990?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfns when four letters picked without replacement from {m: 1, f: 2, s: 2, l: 1, n: 1, p: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-162)\/312 - 3\/12. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 3. Let h = 2 + f. Calculate the remainder when 105\/h*(1 + -3) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 103.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lopg when four letters picked without replacement from zppaozozzlag.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440750 is divided by 21830.\nAnswer: 4150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5)*z*z**(-2)*(z\/z**0)**(-16) assuming z is positive.\nAnswer: z**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (0 - -12) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + h + 6. Let a = -408 - -404. Calculate g(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 663 - 660 - (8 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13126 greater than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8578 is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 8:19 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z\/(z\/z**(-1\/5))*z))**(2\/31)\/(z*z**(-18)*z\/(z*z**(1\/10))) assuming z is positive.\nAnswer: z**(1057\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 218, 330, 516, 782, 1134, 1578, 2120?\nAnswer: 2766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*g - 55*g + 258 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 2. Let x(k) = -k**3 + 2*k**2 - 7. Give -7*u(j) - 2*x(j).\nAnswer: 2*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -119*o**3 + 5*o**2 - 7*o - 4. Let h be j(-5). Let n = 2631 - h. What is n rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71332 - -71330. Let h be 4\/(-10) - 58\/5. What is the smallest value in -1\/3, h, -0.1, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r + 6. Let c be l(-5). Let m(d) = 1 - c + 2 + 2*d. Let j(q) be the first derivative of -q**2\/2 - q + 8. Give 6*j(x) + 2*m(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5 + 910*p**4 - 8265*p**3 - 57040*p**2 - 99460*p - 51600 = 0.\nAnswer: -2, -1, 15, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 o when three letters picked without replacement from {v: 2, o: 6}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 2*v = 855 - 857, 2*o - 5*v = 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/15 + 28\/20 + -2. Let r be (3*(-4 - -1 - -2))\/s. Let l(i) = i**2 + 6*i + 9. Let b be l(-7). Solve r*d + 1 = b for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 423511953*j + 96114017 with respect to j.\nAnswer: 423511953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -9*c - 16, 4*c = 2*y + 22. Is 216 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/sqrt(5)*1)\/(-2*sqrt(176)))**2.\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x - 2. Let u be j(1). Suppose 0 = 5*w - f - 2, 3*f + 11 - 5 = w. Solve w*g + u = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -144 and 2437535214?\nAnswer: 2437535358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 13*b = -3. Solve j + 3 = b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000037756 to seven dps.\nAnswer: 0.0000378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1425 + -1430. Let l(j) = 4*j - 1. Let t(i) = -6*i + 2. What is k*t(y) - 8*l(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -36*p**2 - 43*p - 114. Calculate f(-3).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30 - (24 + (20 - 66))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 5*z - 3 - 3*z - 4*z + z + 75*z**2 as i*z**2 + u + t*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 2317 = -2269. What is the second biggest value in 0.5, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11843496 divided by 216\nAnswer: -54831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -259\/4394?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -4*k - 81. Let g be q(-11). Suppose u + v - 253 = -0*u, 0 = -5*u - 4*v + 1262. Let o = g + u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - -10 - (-8 + 3 + 0) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1762 - 1760. Let -3\/5*x**3 + 0 + 0*x**g + 1\/5*x**4 + 4\/5*x = 0. Calculate x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2. Let b(g) = -g + 8. Let s be b(6). Let v be (-6*(-6)\/9)\/s. Let z(l) = l**2 - 4*l**2 + v*l**2 - l**2. Calculate n(z(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3159715 - -0.0791.\nAnswer: -3159714.9209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 13\/3*i**3 - 1\/1440*i**6 + 1\/80*i**5 + 0*i - 13 + 0*i**2 - 3\/32*i**4. Let z(d) be the third derivative of t(d). Factor z(h).\nAnswer: -(h - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 40*t + 44. Let a be v(39). Let j(c) be the second derivative of 0*c**4 + 1\/110*c**a + 0 + 2*c - 1\/11*c**3 - 2\/11*c**2. Factor j(n).\nAnswer: 2*(n - 2)*(n + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 25 = -5*g, 0*g - 7 = y - 2*g. Let s(w) be the first derivative of 25*w**4\/4 - 2*w**3\/3 + w**2\/2 + 2. List the prime factors of s(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.025714 rounded to 3 dps?\nAnswer: -1.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2.88 (b) -3305\/9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14046239.4 and 1?\nAnswer: 14046239.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 95\/105 - 6\/(-63). Let y(q) = q + 2. Let k(b) = -52*b - 10. Let w(x) = p*k(x) + 5*y(x). Let f(o) = 2*o**2. Calculate f(w(h)).\nAnswer: 4418*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17)\/(-170)*-25)\/((-3)\/(-2)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3082218 and 1938.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2990210?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 2237 divide 91426190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 k when three letters picked without replacement from fkknnkkkffnfkfknknff.\nAnswer: 49\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -4*g + 31. Let a be h(7). Let f(m) = -m**3 - 5*m**2 + 5*m + 1. Let s be f(a). Let w = s - -42. Is w < -64\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 15 - 1)*(-3*b + b + 3*b).\nAnswer: 27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 10*n**2 + n**2 + 4 + 2 - n**3 - 13*n. What are the prime factors of p(9)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -223021129, -223021131, -223021133, -223021135, -223021137?\n\"Answer: -2*k - 223021127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2193976 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e4 - 13662?\nAnswer: -13756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -30030122?\nAnswer: 30030123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 18. Suppose 0 = v*w + m - 56, -2*m - 4 = -2*w - 7*m. Calculate the remainder when w is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.4 (b) -3\/11 (c) -1 (d) -109 (e) 0.5 (f) 1 (g) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (-1*sqrt(19) + -1 - sqrt(19)) - sqrt(19)) + (sqrt(475) + 0 - sqrt(19)).\nAnswer: 1 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 155 and 121.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 10 - (10 - -24 - 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 134?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-20)\/(c*(c*c**22*c)\/c)*((c*c\/c**(3\/7))\/c)\/c**(-16) assuming c is positive.\nAnswer: c**(-192\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-817)\/11438)\/((-39)\/(-6)).\nAnswer: -1\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*k + 5. Let s = 0.05 - -2.95. Which is smaller: k or s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + 14*d**2 - 14*d + 35. What is the remainder when 56 is divided by v(-15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23333 + -10?\nAnswer: -30003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*n - 8. Let o(c) = c + n - 6*c**3 - 3*c + 4*c**3. Let j(l) = -4*l**3 - 5*l + 7. Determine 2*j(h) - 5*o(h).\nAnswer: 2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 376563980 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 398979 - 563933. Let f = r + 164954.209986. Let n = 0.21 - f. What is n rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87b479 (base 13) to base 7\nAnswer: 36105331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 13*v + 90. Let q be j(-18). Which is smaller: 2\/817 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -353 + 354. Let f be (-24)\/(-2)*34\/6. What is the units digit of j - (f\/(-2) - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33214884 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o - o**2 - 3 + 0 - 1. Give g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 * 4.7\nAnswer: 155.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 3 - 15. Let a(h) be the first derivative of 1 + 0*h + 0*h**5 + 1\/3*h**3 + 0*h**2 - 1\/3*h**6 + 0*h**z. Find the third derivative of a(n) wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -132267545?\nAnswer: 132267552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 8.05.\nAnswer: 8.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7379, 1\/4, 3.66?\nAnswer: 7379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136 + 34 - 189)*(2*p**3 - p**3 + 0*p**3)*(-p**2 - 2*p**2 + 2*p**2).\nAnswer: 291*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) -4 (c) 5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-104)\/(-18) - 4\/(-18). Let p(n) = -n**2 - 8*n - 3. Let b be p(-7). Suppose 2*d + b = -c. Let j(g) = g - 3. Calculate j(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 3*t - 13. Let o be f(6). Suppose -o*s - 1 = -26. Suppose 0 = -5*m + 3*l + 22, -m - 3 = -3*l - 5. Is m bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.04 - 0.04. Let d be (-33)\/12 + 1 - (-4)\/(-16). Which is the biggest value? (a) -5\/3 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 228*o**2. Let r(s) = -s. What is l(r(f))?\nAnswer: 228*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3212*f**2*i**3 + 3*f**2*i + 512*f**2 - 14*f*i**3 + 24*f*i - 8*f - 13*i**2 + 1 wrt f?\nAnswer: -6424*i**3 + 6*i + 1024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**3 - 3*r**3 + 7*r**3)*(r**2 - r**2 + 2*r**2) - r**5 + r**4 - 4*r**4 + 3*r**5.\nAnswer: 22*r**5 - 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*m - 49 = 0, -4*i - 60*m = -46*m - 292 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 574448817 a multiple of 363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -79*h**3 - h**2 - 4*h. Let l(y) = -43*y**3 - y. Give -2*k(n) + 5*l(n).\nAnswer: -57*n**3 + 2*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 104.05624 times -0.1\nAnswer: -10.405624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 16*g. Let l(b) = -7221 + 7221 + 8*b**2. Give k(l(d)).\nAnswer: 128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7052*m + 289151. What is y(41)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 1\/7, -0.5, 5, -4, -2\/13, 123\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 66 = -4*g, -2*g + 7*g = -3*j + 10. Suppose j*y = -6*y. Solve -4*f - 5 + 1 = y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 151, 138, 109, 58, -21?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-10\/3)\/(w*w**(-6)\/w) assuming w is positive.\nAnswer: w**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123\/4 - 1361\/44. Let h = 2.293 + -212.893. Let x = h + 211. What is the smallest value in x, 2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 592\/48 - 1\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.58 - -6.1. Let q = m - 21.52. Let p = q + 21.99999906. What is p rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*(2 - 6)\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6400, 6395, 6382, 6361, 6332, 6295, 6250?\n\"Answer: -4*x**2 + 7*x + 6397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 4*i**2 - i + 2. Let n be t(-5). Let g be n\/7*2*-7. Let k be (-35)\/g - 12\/(-54). Is 0 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 42, 63, 100, 159, 246, 367?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1942 or -1944?\nAnswer: -1944","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5 - (-157 - -149)) + -17\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 7918*h - 86789. Calculate m(11).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40234 - -27222. Let y = -1482 - w. What is y rounded to the nearest 100?\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13323094.5538 - -468?\nAnswer: -13322626.5538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -10*i - 23. Calculate the remainder when 104 is divided by c(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000274928 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + -10. Let x = -10 - w. Let l = 13 - x. Calculate the lowest common multiple of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.2? (a) 4\/11 (b) 2\/21 (c) -0.2 (d) 1 (e) -7 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 18*u**2 + 17*u - 38. Let p be b(-19). What is the second smallest value in -1.6, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59830 (base 11) to base 15\nAnswer: -1a80a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-20) + 12\/10. Suppose -3 = -4*s + j. Find the common denominator of 83\/6 and 13*s*(-8)\/(-80).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1943348?\nAnswer: 2, 11, 29, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 - -0.18. Let x = 0.35 - b. What is the nearest to 7 in -3, x, -4\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 340 + 161. What are the prime factors of x?\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*y**3 + 12*y**6 + 34*y**3 - 52*y**3 - 13*y**6 + 417*y**2 wrt y?\nAnswer: -120*y**3 - 630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + u - 4, -3*y - u + 4*u + 6 = 0. Suppose y = 2*r - 2*d, 0*d - 17 = -3*r - 4*d. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1626+-228\nAnswer: -1854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-28)*1)\/(1\/1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0202 + 417.9798. Let p = o + -416.0005. Let s = p - 2. Round s to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41638032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s - 39. Calculate f(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyytjdjjjd. Give prob of picking 1 y and 1 d.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 + 110213?\nAnswer: 110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 22 = -3*t + 2*t, 2*a = 7*a - 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*a - 165*a = -15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -8, -2*x = -4*w - 12 - 16. Let z be (-3)\/5*w\/(-3)*-3. Suppose -59 + 11 = -4*c. Solve 0*k = -z*k + c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 3*j - 8*j. Let a be ((-10)\/6)\/((-6)\/j). Suppose 4*c + a + 9 = 2*v, -4 = -v - c. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 64 = 2*s + 2*c, 5*c - 20 = 0. Suppose 0 = b - s - 21. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9980 (b) -0.5 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**1*r*r*r**(-4)*r*r*(r**0)**50 assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 619818434 to the power of 1\/2, to the nearest integer?\nAnswer: 24896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96744450 and 96744450.\nAnswer: 96744450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -408 + 1225768?\nAnswer: 1225360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.13 in -7, -252, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 2 + 9 + 0. Solve r + 3*r - j = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823625639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-1 + -3) - -2. Let z = q + 0. Calculate the least common multiple of (-6)\/z*(-160)\/15 and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 - 334*s + 335. Let x be z(1). Let g(u) = 3 - u + 0*u + 0. Let i be g(3). Solve i = -7*q + x*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(136)\/(sqrt(8) + (sqrt(72) - sqrt(8)))*4.\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 15*z**2 + z - 12. Let j be w(15). Solve -c - h = 3*h + 23, -2*c = -j*h - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 82, -11, 2, 0.5, 3\/5?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2. Let j(d) = -54*d**2 + 115*d**2 - 56*d**2. Give j(c(g)).\nAnswer: 45*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.14, -3, 3\/4, 0.04, 48, -0.043?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 714*w + 1. Let f(v) = -1952*v**2 - 4*v. Determine p(f(c)).\nAnswer: -1393728*c**2 - 2856*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**2 - w**2 - 2 + 6*w**3 - w**3 - 4*w**3 to l*w**2 + v*w + m*w**3 + a and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(440)*5)\/((sqrt(90)*1)\/sqrt(9)))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*n = -35, 3*k + 4 = 3*n + 13. Let l be (-3 + 4)\/((-1)\/k). Factor 3\/2*s**3 + 0 + 1\/6*s - s**l.\nAnswer: s*(3*s - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 97 = -2*p - 5*x, 5*x + 61 = -2*p. Let g = p - -24. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 1. Let y(q) = -58*q**2 + 3. Calculate 15*c(t) - 5*y(t).\nAnswer: 305*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-23475726.\nAnswer: 14085435.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 230485148 a multiple of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + i)*(-72*i + 124*i + 17*i) + (2 - 3 + 2)*(-5*i**2 - 4*i**2 - 10*i**2).\nAnswer: 119*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11982.\nAnswer: 2, 3, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3622 + 3625. Which is the third smallest value? (a) 4 (b) -19 (c) 24 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, k: 8, x: 4}. What is prob of picking 2 u and 2 k?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (1 + -12 + 1)) + -14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 190*a + 6 = 187*a, 3*a = -5*x - 24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -31699*r - 44. Let b be u(4). What is b rounded to the nearest 1000?\nAnswer: -127000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*y + 3 + (y + 5*y - 4*y)*(-4 + 1 + 1) + 0*y + 3*y - y)*(3 + 1 + 0) - 2*y + 9*y + 4*y + (2*y + 2*y - 3*y)*(2 + 1 - 5).\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 1523*w**2 + 426650*w - 847200.\nAnswer: -(w - 240)*(w - 2)*(w + 1765)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537 divided by -1.\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 - 27. Let m = -15 + l. Suppose 0 = m*i + i - 40. What is the greatest common factor of 80 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36750)\/(-55) + 2\/(-11). Suppose 0*k = 4*k - v. Suppose c - n - k = -2*n, -c + 185 = -5*n. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 951943298.\nAnswer: 2, 499, 953851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1664551125 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*j - 10, -5*n + 4 + 6 = 0. Let f(v) = -2 + 4*v + j*v**2 + 0*v**2 + 1. Does 2 divide f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7*u**3 + 10*u**2 - 4*u. Let z(t) = 7*t**3 + 12*t**2 - 3*t. What is -4*l(c) + 3*z(c)?\nAnswer: -7*c**3 - 4*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-320)\/(-30) - (-6)\/(-9). Suppose f = 2*f - 5*j - z, 4*f = -5*j + 15. Solve 4*l - 13 = -p, -2*p - 4 = f*l - 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 339, 642, 931, 1200, 1443, 1654, 1827, 1956?\nAnswer: 2035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, 1\/146, 3\/14, 263 in increasing order.\nAnswer: 1\/146, 2\/11, 3\/14, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = b. Suppose 5*j + b = 14. Suppose -3*f + 4*x = -73, -49 = -3*f - j*x + 36. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 573, 575, 577?\nAnswer: 579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -1\/70*d**7 - 170*d**2 + 0 + 1\/20*d**5 + 1\/20*d**6 + 0*d - 1\/4*d**4 + 0*d**3. Factor n(b).\nAnswer: -3*b*(b - 2)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 = r, 0 = 4*r - 3*m - 2*m + 20. Let s = 3.5 + -3. What is the nearest to -0.3 in r, -1\/5, s?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -9. Let h = -0.0658 + 0.0658. Which is the nearest to h? (a) -2 (b) 1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 36?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w - 20*w = -3. Calculate the greatest common divisor of 12 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - 23130?\nAnswer: -23155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*b - 1646 - 1486 + 119 = -508 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.841 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101575111.\nAnswer: 11, 9234101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101011110 - -1001?\nAnswer: -1011101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.025 + 0.506. Let s = -0.48 - o. What is s rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 106? (a) -4\/3 (b) -54 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = m - 8 - 23, -2*c + 10 = m. Suppose t - 3*i = 3*t + 4, -t = -3*i - c. Let j = -32 - -30. Sort 3, t, j in descending order.\nAnswer: 3, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 3:35 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 5*w**2 - 8*w - 9. Let r be f(-6). Let k be 178\/6 + 1\/r. Suppose -s = 3 - 7, -5*s + k = 5*t. Which is greater: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 4*z - 12, -44 = -207*l + 210*l - 4*z for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/105 - (-12)\/(-156)*39.\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + q - 3*q = -207, 0 = 4*q. Let l = 78 - g. Solve -5*m - l = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 51\/5 of a century?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s - 19. What is n(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -60. Let y(h) = l*h**3 + 3 - 4 + 4*h - 26*h**3 - 5*h. Let x(r) = 4*r**3 - 5*r**2 + 4*r - 6. Let t(o) = -x(o) + 3*y(o). Factor t(w).\nAnswer: -(w - 3)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 1 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 7) to base 9\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1008)*-1)**2.\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - (144 - 146)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2876*o + 2. Let c(n) = 720*n - 1. Give 9*c(y) + 2*r(y).\nAnswer: 728*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 79*s**2 + 242*s - 355. Give p(-82).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-8) - 105\/(-280)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 41*f**2 + 9*f + 3984. Give b(38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - 4*z**3 - 2*z**3)*(2 - 2 - 2) + z**3 + 2*z**3 - z - z + (2*z**2 + 0 + 0)*(5*z - 4 + 4).\nAnswer: 15*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 50\/(-33) - (-8)\/44. Let j = -4997\/17 + 294. Which is the fourth smallest value? (a) v (b) 3 (c) j (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 280*y**2 + 278*y**2 - 575*y**2. Let i(a) = 48*a - 27*a - 18*a. Determine h(i(l)).\nAnswer: -153*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 141143, 282286, 423425, 564554, 705667, 846758, 987821?\n\"Answer: -q**3 + 4*q**2 + 141138*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*t - 4 = -18, 0 = -5*q - 2*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*y + 157080005, -2*r + 247939084 - 90859085 = y. What is r rounded to the nearest one million?\nAnswer: 79000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Suppose v*m + m + 12 = -p, -5*p - 2*m + 5 = 0. Is p + 204 - (-8)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 7*t**2 - 7*t + 5. Let w be h(-8). Let o be (-4 - w)*0 + 4. Suppose -3*s = -o*s + 9. Calculate the greatest common factor of s and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13034 (base 5) to base 16.\nAnswer: -3fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**3 - r**2 + 2*r. Let v be o(-2). Let h = -1 + v. Let u(t) = 3*t + 32. Is 7 a factor of u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-4)\/(7\/(-105)*5*1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1824.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**6\/6 + 7*w**5\/25 + 2*w**4 - 56*w**3\/15 - 8*w**2 + 112*w\/5 - 20. Determine y so that z(y) = 0.\nAnswer: -2, 7\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -l + 1. Let h = l - 1. Let q = 18 + h. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516180.\nAnswer: 2, 3, 5, 7, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4156522 rounded to 4 decimal places?\nAnswer: 0.4157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-46 - 13*c + 46)*(-3*c + 0*c - 2*c).\nAnswer: 65*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 5*f + 0*f = -0*q + 20, 3*q - 91 = 38*f - 153 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 105*i - 107*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeyeenbgbejbbbey. What is prob of sequence gj?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*n + 0*n + n)*(-245 + 65 + 163 - 70*n) as v*n + s*n**2 + c and give s.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (28 - (0 - -4)). Let g = s + -6. Let o = 30 - g. What is the lowest common multiple of 7 and o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01182 + -1\nAnswer: -0.98818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v + 3. Let o be j(-2). Suppose n + 2*n + 5*g + 21 = 0, 5*g + 15 = 0. What is the closest to o in 2, 0.2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5157425*o**2 - 2267*o - 4534. Let w(f) = -4552*f**2 + 2*f + 4. What is -4*s(x) - 4534*w(x)?\nAnswer: 9068*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(12\/(-168)*-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*g + 5 = 0, -6*u + g = -u - 10. Suppose -p + i + 1 = 0, 5*i = -u*p + 6*i + 7. Solve p*w = 6 + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 60*i**2 - 13*i - 4. Is u(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a8 (base 13) to base 8.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 27, -23, 6, -9, 1, -2 in descending order.\nAnswer: 27, 17, 6, 1, -2, -9, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 41, 56, 49, 8, -79, -224, -439?\n\"Answer: -2*q**3 + q**2 + 26*q + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-2)\/(-4))\/((-10)\/(-11140))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 - -47. List the prime factors of g.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -991 greater than or equal to 125522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*n = 51*n + 58*n + 465750. Calculate the greatest common factor of n and 230.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -286.5\nAnswer: -1432.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 5*t - 16. Let a be g(5). Let w(o) = o**3 - 3 + 8 - 8*o - 5*o**2 + 10. Is w(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 - -801. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/16 + 7)*(262\/(-710) - (-112)\/560)?\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1152 divided by 18.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 3)\/(12\/(-66)). Suppose 5*a + 24 + 6 = 4*n, 4*n = 2*a. Let r = a + v. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4829742254 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 5*x**3 + x**3 + (5*x - 2*x - x)*(0*x - x**2 + 0*x) - 3*x**3 + 0*x**3 - 5*x**3 + 2*x.\nAnswer: -3*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -d - g, -3*g - 9 = 1875*d - 1878*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -558 + 1207. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 1, k: 4, d: 3}. Give prob of picking 1 k and 1 f.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19962 and 1242.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 377, 340, 281, 200, 97?\n\"Answer: -11*k**2 - 4*k + 392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 228, 624, 1008, 1374, 1716, 2028, 2304, 2538?\n\"Answer: -a**3 + 403*a - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 + 849*g - 1052. Let x be l(211). Let h = -1 - -2. Solve 5 + h = x*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 12:15 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in 3, -11381, -5\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 973*d**2 - 65*d + 6. Let q(j) = -2919*j**2 + 184*j - 17. Determine -6*q(i) - 17*v(i).\nAnswer: 973*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 372101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.19 and 534181?\nAnswer: 101494.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*l + 7208 - 8321 = 0 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5\/54 + 73\/378. Factor 0 + v*r**2 - 2\/7*r.\nAnswer: 2*r*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**6\/(d*d*d*(d\/((d**(-2\/7)*d)\/d))\/d))**(3\/16) assuming d is positive.\nAnswer: d**(57\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 3*q - 43, -5*q - 116 = -121 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 548486800?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*y + 18 - y**2 - 7 - 14 + 3*y**2 - 2*y**2 - 2*y**2 + (4*y - 2*y - 4*y)*(-2 + 2*y + 2) in the form f*y + c + b*y**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-385)\/539*(1 - 4\/(-3))\/(17\/(-51)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-24)\/(-48)*3*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -6749, -6677, -6579, -6455, -6305?\n\"Answer: 13*r**2 + 33*r - 6795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21112 + -103032103?\nAnswer: -103113221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 o when four letters picked without replacement from ooeooe?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -337 = -5*c - 322. Let i be 25*((-4)\/15 + 2\/c). Solve 8*f + 2 = i*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*i + 12 + 2, -p - 51 = -5*i. Let r be (-26)\/(-3*(-2)\/(-3)). Suppose i*m + 18 = r*m. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 PM and 6:56 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 25 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/2))**(-33)\/((k\/k**(5\/4))\/(k**9\/k*k))*(k\/k**(-1))**25*(k**(-2))**(-11\/2) assuming k is positive.\nAnswer: k**(347\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -32. Suppose -10*a + 1209 = 99. Let n = a + -90. What is the least common multiple of j and n?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a67 (base 14) in base 10?\nAnswer: -7539","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, -912, -5, 16, 5 in ascending order.\nAnswer: -912, -5, 5, 16, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/11)\/(t\/(t\/t**(2\/3))))\/(t*t**5*t*t**(-5)))\/(t**(-4\/3)\/t*(t\/(((t\/(t*t\/(((t**(-9\/4)\/t)\/t)\/t)))\/t)\/t))\/t)**43 assuming t is positive.\nAnswer: t**(-33959\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkkddkakdkkkkk. What is prob of picking 1 a, 1 d, and 1 k?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50322 a multiple of 262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -632 + 632.2. Which is the closest to -3\/4? (a) t (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**3 - 625*n**2 + 19840*n - 19220 = 0. Calculate n.\nAnswer: 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*x + 397, 5*x - 460 = 3*w - 4*w. Suppose 5*n - x = -23. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:29 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 48*x - 96*x - 93*x. Let o(b) = -4*b - 3. Give n(o(q)).\nAnswer: 564*q + 423","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + -4*1*sqrt(325) + (sqrt(325) + -4 + -1 + sqrt(325) - sqrt(325)) + -4)**2 + -3.\nAnswer: 1050*sqrt(13) + 14867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4687767.\nAnswer: 3, 7, 17, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*j + 18, -5*j + 89 = 2*u + 86. Which is smaller: j or -9\/121?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/59 at least as big as -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0313028 - 4195?\nAnswer: -4195.0313028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 4*s. Let c(b) = -3*b**2 - b**2 - 1 + 16*b**2 + 17*b**2. What is the units digit of c(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - y - 20 = 0, 0*g - 3*y + 5 = 2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09448 and -162192091.\nAnswer: -162192091.09448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1127166, 2254223, 3381278, 4508331, 5635382?\nAnswer: 6762431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 23060856507.89 + -2\nAnswer: 23060856505.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*n + o + 3174, 3*n = 5*o + 2383. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 643112 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from yyhybyhyybybbyybbhb.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13737 and 3021?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 345 (b) 0.041 (c) -428\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 22.69503 grams?\nAnswer: 22695030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8256\/128*(-10 + 12)\/(-3 + (1 - 1)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 6. Let i be y(3). Solve -19 = -i*m - 5*q, -m + 4*q = 2*q + 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 219 (b) 3 (c) -0.13 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -7 - 2) + (-1 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 45. Let h(c) be the first derivative of 1\/14*c**4 + 2 + y*c - 2\/21*c**3 + 0*c**2. Factor h(q).\nAnswer: 2*q**2*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 1086*h**2. Let i(n) = 6*n**2. Calculate i(c(x)).\nAnswer: 7076376*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 2, y: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 9*m + 5. Let p(t) be the third derivative of t**4\/3 + 2*t**3\/3 + 71*t**2. Let y be 4\/1 + 1\/1. Give y*p(j) - 4*c(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16 - 16)\/(20\/(-5)). Let 0*y**2 + 0*y**4 - 3\/5*y - 3\/5*y**5 + 6\/5*y**3 + d = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + q - 18 - 4*q - 3*q to o + v*q and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -3. What is the derivative of 3 - 6 + 2*v**3 + v**r wrt v?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 5*h + 6. Suppose -3*p + p - 4*u + 28 = 0, 16 = 4*u. Suppose -191*k = -194*k + p. Solve -r = -k - h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 2*s + 5*o - 92, -2*s + 2*o - 46 = 0. Let a(c) = 8*c + 187. Let b be a(s). Solve -22 = -5*z + 2*g, -z - 4*g = -b*g - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -83\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 9:26 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 712692671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-7 - (1 + 1 + -19)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/8872 - -35479\/26616. What is the second biggest value in -3\/2, -20, d?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597478 is divided by 177497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119984 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0325111437 - -5?\nAnswer: 11.0325111437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -3*p + 7*p, 4 = -3*h - 2*p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-27)\/(-8)) + 24\/(-36).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33901514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -403863 + 4?\nAnswer: -40385b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -154929, -154928, -154927, -154926, -154925, -154924?\n\"Answer: v - 154930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 12*o + 268. Calculate y(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**3 - 2*r**2 - 2*r. Let f be j(-1). Let i be (219 - 211)\/(1 - -3). Put f, i, -4, -1 in increasing order.\nAnswer: f, -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/14*49\/(-49).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -907501*y + 2. Let c be x(2). What is c rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120234 is divided by 9787?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -337084690 to the nearest 1000000.\nAnswer: -337000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 4*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 21 + 6. Let m = 9 + r. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-6))\/((-4)\/18). Let z(v) = 2*v**3 + 4 - v + 3*v + v**2 - 3 - 8*v**o. What is z(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/3)\/l**(2\/9)*((l**2\/l)\/l)\/l**(2\/9))\/(((l*l**(-1)*l)\/l*(l\/(l\/(l*l*l*l*l\/l**(-4)*l)))\/l)\/((l**(-4\/3)\/l)\/(l*l**(-1\/10)))) assuming l is positive.\nAnswer: l**(-1171\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 53663*d.\nAnswer: 53663*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.5? (a) 7.1 (b) 4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 9. Let m be u(-7). Let v = m - -3. Let z(y) = 79*y**2. Is z(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1986*t**3 + 7*t - 8. Let b be (6\/2)\/(-3) + 10\/5. Is q(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*g*p**3 + 2*a*g*p**2 + 2*a*g*p + 4*a*g + 892*a*p**4 - 7*a*p**2 + 2*p wrt p?\nAnswer: -12*a*g + 21408*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 40 - 376 = -41*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4576063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147325260 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - (4\/14 + -1099*31\/(-9212)). Suppose y + 2*f - 4 = -0*y, 4*y - 2*f + 4 = 0. Are y and d unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - x + 2*x - 23*x**3 + x - 40 to the form p*x**3 + i + c*x + b*x**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 8564.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 62*f**3 - 14 + 38*f**3)*(f + 3*f + 3*f).\nAnswer: -168*f**4 - 91*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20369127.\nAnswer: 3, 97, 69997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14208737?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/7 - 4\/(-14). Suppose 19 = -3*l + d. Is 3\/5 - 712\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -7 (b) -0.09 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (15 - (0 + -15 - -22))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 1:26 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -d + 27, -k + 4*d + 9 = -3. Calculate the lowest common multiple of 12 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b - 1. Let z be q(-6). Let w = 24 - z. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1374 - 1378. What is the smallest value in -154, l, 3?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 51, 116, 233, 420, 695, 1076, 1581?\n\"Answer: 3*d**3 - d**2 + 13*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1769?\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113012021210110 - 11?\nAnswer: -113012021210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-2)\/(-12))\/(20\/4)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r**3 + 5*r**2 + 29*r + 21. Determine a(-4).\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589 a factor of 40432105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/3150*10 - (-2)\/9.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n + 140. Let i(u) = -u - 28. Let o(t) = -11*i(t) - 2*q(t). List the prime factors of o(10).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/2052*1557 - -18.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/15)\/(((-467)\/3269)\/((-12)\/7))?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v - 7898 + 7898.\nAnswer: 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 110746 + -5948?\nAnswer: 104798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12064 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20.9 + -21.3. What is the third biggest value in 4, o, -34, 3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppplppll. What is prob of picking 1 p and 2 l?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1157, 6, 3, -5, 1, 11 in increasing order.\nAnswer: -1157, -5, 1, 3, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 7. Let h = 249 - 247. Calculate the highest common factor of p and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 666.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15 - 422?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 863 = 1315. Round o to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.46 + -0.45. Let q = f + -0.51. Suppose 5*x + 10 = -5*w, -2*x + 6 = -2*w - 2. Which is the closest to 1\/3? (a) q (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - x = 5*a + 14, 2*a - 5*x = -16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-7)*(42\/(-12))\/(-10*(-22)\/(-440)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r = 9. Let g = 6 + r. Solve -g*y - 38 = 5*m - 15, 0 = 3*y - 2*m - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7917037, 7917025, 7917013, 7917001, 7916989, 7916977?\nAnswer: 7916965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 697101 divided by -232367\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -745.4202 and 7990.5379.\nAnswer: 7245.1177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/6 - 49307*o**2\/6 + 607819715*o\/6 - 607770409\/6.\nAnswer: (o - 24653)**2*(o - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-22)\/6)\/(3\/(-27) + 0). Let k = -2 - -6. Suppose g - 5*g + u = -117, g - p = k*u. Calculate the remainder when g is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l - 10*l**3 - 4*l + (-2*l**2 - 4 + 4)*(3 - 3 + 3*l) + 4*l**3 + l**3 - 4*l**3 + l**3 - 2*l**3 + 0*l**3 to r*l + f + i*l**2 + u*l**3 and give u.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -50, -183, -442, -869, -1506, -2395?\n\"Answer: -7*i**3 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9393.176 litres in millilitres?\nAnswer: 9393176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - -11. Let p = 20 - i. What is the third derivative of -2*n**6 - p*n + 8*n - n**2 wrt n?\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*q**2 + 38 - 7)*(-2*q + 3 - 3)*(5*q**2 + q**2 - 4*q**2).\nAnswer: 8*q**5 - 144*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 4*m**2 - 4*m - 2. Let i be l(-3). Suppose -c = -2*q + 3, 3*c - 5*q = -7 - 1. What is the lowest common multiple of (i - c)\/(14\/21) and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - j - 1234. Let a be f(0). Let u = -257 - 442. Let b = u - a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72822814 is divided by 1086?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 4 = 11*o. Let t(q) = -19*q - 3. Let u be t(o). Solve -7 = -r + 5*r - 3*x, r + u = -4*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11 - -21)*2\/2. Let w be (k\/(-15))\/(8\/12). Let f = 6 - 8. What is the closest to 0 in w, -1\/4, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.1 + -0.1. Let t = d + -2.4. Let l = -2.5 + t. What is the third smallest value in -2\/9, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55338.\nAnswer: 2, 3, 23, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3995?\nAnswer: 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 + -46. Suppose -n + 4 = 0, -85 = -j - 24*n + 27*n. What is the remainder when j is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 5*m = 2*s - 6, 5*m - 30 = s. Suppose -4*a = -a - m. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -30*k**3 - 25*k**2 + 70*k + 25. Let u(t) = -t**3 - t**2 + t + 1. Let i(j) = -b(j) + 25*u(j). Factor i(z).\nAnswer: 5*z*(z - 3)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = v - 2100. Let m = v - 131. Is 5 - (-11)\/(m\/7184) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -2\/15 (c) -1\/10 (d) 1\/13 (e) -1\/5 (f) -38\/13 (g) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-3)\/2*2\/(-3). Put 21, w, -1 in ascending order.\nAnswer: -1, w, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 - 1.041?\nAnswer: -3.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -209 (b) -1\/8 (c) -4 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22600.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -156*q + 30*q + 504. Solve 2*m + q = 14*h - 11*h, 6 = h - 3*m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 45. Suppose 4*x + 0*v - 37 = -5*v, 3*v = -b. Suppose j - q = x, 3*q + 20 = 5*j - 49. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18471, 18482, 18507, 18552, 18623, 18726, 18867, 19052?\n\"Answer: l**3 + l**2 + l + 18468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 i when three letters picked without replacement from {x: 2, i: 2, r: 1, f: 8, d: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1665 is divided by 64?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-6*g + 4*g + g)*(7 + 0 - 3).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -2. Let z(p) = 2*p - 3. Let q(l) = 4*l - 6. Let t be 5 + (6*84\/360 - (-188)\/(-20)). Give m*z(g) + t*q(g).\nAnswer: 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1111.14 - 1095. Let r = y - 16. Let z = r + -0.04. Which is bigger: -1\/2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 679 - 15497 = 7*l, -2*z = 5*l + 11556. Is l not equal to -11548\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76*j**3*z**3 - 242*j**3*z - 2*j**2*z**5 + 2*j*z wrt z?\nAnswer: -456*j**3*z - 40*j**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25193 - 24786. What is the highest common factor of n and 370?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuaggzzzuuzzgg. Give prob of sequence ggau.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 474 = -2*z + y, y = -z + 230. Suppose -z = -d + 143. Suppose 0 = -3*n + 39 + d. What are the prime factors of n?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 13 = 6*i - i, -d + 4 = -2*i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 340636.9 kilograms?\nAnswer: 340636900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15813152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 6*i**2 + 6*i - 7. Let d = -7 + 13. What are the prime factors of g(d)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 16, 22, 44, 88?\n\"Answer: u**3 - u**2 - 8*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2097*u + 471802. What is t(-225)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -252 + 744. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -41*g + 27 + 85*g - 48*g. Let f be b(6). Suppose o - 3 = 0, -6*m = -f*m + 2*o - 12. Solve -m*r = -7 - 1 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 6. Let g be z(7). Let x = g - 4. Solve -n + 16 = -x*r, 0 = 4*r - 5*n + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84412 (base 10) in base 14?\nAnswer: -22a96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1158, -1162, -1166, -1170, -1174, -1178?\n\"Answer: -4*k - 1154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 719 + -545. Calculate the least common multiple of t and 30.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 1, x: 2, p: 1, y: 1}. What is prob of sequence py?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 201 - 215. Let l be (-42)\/147 + (-172)\/o. Suppose -3*y = -x + 20, 0*x + 16 = x - y. Solve -6 = -l*j + x*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 3*n**2 - n**2)*(-3 - 3 - 11).\nAnswer: 34*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.138357013 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 137 = 121 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 98\/(-945)*6 + 2\/5. What is the third smallest value in -31, 5, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -2*a - 26, 0 = -2*a - 2*d + 81 - 79 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -95 and -1.25201.\nAnswer: 118.94095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (14 - (7 + -2) - 3) - (-11 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 369382 and 364.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 629808 and 1104.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 2. Let t(n) = n + 1. Suppose -7 = i + 5*o, -2*o - 12 = -i - 5. Let u be t(i). Suppose -u*q = 3*f - 20, -f - 3*f = q - 5. Give j(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 2)*(13*a - 6*a + 9*a) in the form o + k*a and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 13. Suppose -6 = -2*t + j*t. Let c be (18\/(-1 + -2))\/(2156\/385). Do c and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x + 8. Let r be s(-4). Suppose -147 = -4*c + c + j, -196 = -r*c - j. Calculate the highest common factor of 343 and c.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 6. Let j = t + 2.1. Let g = -1 + 1.2. Which is the closest to -1\/3? (a) 2 (b) g (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 3\/4805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-450)\/(-270)*-4)\/(8\/(-42)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - 1805*y + 4 - 4*y**2 + 1806*y. Calculate q(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) 5 (c) -4 (d) -2 (e) 208\/217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + q = -2, -2*d - 2 - 2 = 2*q. Suppose d*z + 3*z = 30. Calculate the remainder when z is divided by (-6)\/(-2) + 5 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2141*r + 235528. Give q(-110).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 102055941 divided by -423?\nAnswer: -241267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7994825897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25668 + 25780. Calculate the highest common factor of 602 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28500)\/(-15390)*9\/5?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/483 (b) -3 (c) -1\/5 (d) 3\/7 (e) -6 (f) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 12*c + 26142 = 0. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 6*o**2 + 4*o. Suppose -4*k - 2*y + 7 = -1, 3*y + 8 = 4*k. Suppose 8*u + 5 = 7*u, k*a - 13 = u. Calculate i(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l*(l*(l*l**(-1\/14)*l)\/l)\/l))*l*l\/(l\/l**(2\/25)))**(-25) assuming l is positive.\nAnswer: l**(-1403\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6)**(-21) assuming u is positive.\nAnswer: u**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1593015 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h. Let n(j) = 1. Let p(y) = 2*y**2 - 6. Let s(g) = 6*n(g) + p(g). What is q(s(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -2)*(-7 - (-140)\/21). Let l(f) = 3*f - 3. Calculate l(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**4\/6 - 2*p**3\/3 + 66*p**2. Suppose 3*s - 32 = 11*s. Calculate g(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbegeeqeyeeyxgbgexee. Give prob of picking 1 b, 1 e, and 2 g.\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from epeepewqpqppelhp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - 2*a + 0*a)*(5 - 31 - 14)*(-2 - 3 + 3)*(0*a + 4*a - a) to the form l + i*a + z*a**2 and give z.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3)*(-12 + 12) + 32. Suppose k*y + 5865 = 49*y. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (393 - 385) + 0 + -8 - -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 0.4, 4\/3, -5, -14, 0, -18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -231 - -151. Let d = -77.7 - k. Round d to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/304 and -37\/88.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*k + 4*k**2 - 10664*k**3 - 4*k**2 + 373*k + 10670*k**3.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21107 - -21131. Suppose -y + 2*l + 0*l - 7 = 0, -5*l = -25. Solve 17 = m - 4*g, 3*m + y*g = -0*m - a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -672 divided by 112.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*-4*-2)\/(sqrt(72)\/sqrt(108) - sqrt(6)).\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 512267827 a multiple of 2361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -4, 13 in descending order.\nAnswer: 13, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 22, 31, 44?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3056 and 632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2. Let c(w) = 4*w + 8. Let l(k) = -1. Let r(n) = -c(n) - 8*l(n). Determine i(r(t)).\nAnswer: 80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 20*c + 92. Let h(w) = -14. Calculate f(a) - 2*h(a).\nAnswer: 20*a + 120","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - -80 - ((-3)\/(-6))\/((-20)\/40). What is the greatest common factor of 5456 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -27147\/63329?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:13 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) -6 (c) 0.3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1224 - 619. Calculate the remainder when u is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 723\/12 + (-3)\/12. Let g be l\/(-35) - 4\/14. Let c = 15 - 20. Sort c, g, 4 in increasing order.\nAnswer: c, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 2*u = -70245. Let z = u + 17082. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i - 2 + 2)*(-52 + 100 - 47)*(12 + 8*i - 12)*(-4*i + i + 2*i) as w*i**2 + g*i + a + p*i**3 and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -47*m**2. Let q(u) = 20 + 20*u - 21*u - 20. Calculate q(h(j)).\nAnswer: 47*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - 5288?\nAnswer: -5281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -17*n + 56. Let c(i) = 19. Let w(z) = -6*c(z) + 2*t(z). Let f(h) = -3*h**2. Give w(f(d)).\nAnswer: 102*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -74772883 less than -523410180\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010 (base 2) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03347 + -375945.5?\nAnswer: -375945.46653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*r - 9*b + 4*b + 6*b - 19, -b = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 740362 and 1903788?\nAnswer: 13326516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*h - 87, 3*h + 0*o - 43 = -4*o. Suppose -l + 4*w = -h, 3*l - 8*w + 3*w = 23. Sort 0, 13, l, -5 in decreasing order.\nAnswer: 13, l, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*(30\/135)\/(6\/(-18))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**27\/u)**(-3\/34) assuming u is positive.\nAnswer: u**(-81\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**8\/168 + 7*f**5\/60 + 4*f**2. What is the third derivative of w(t) wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12233 (base 5) to base 13.\nAnswer: -577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 8858 - 6227. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26473 by 26.\nAnswer: 26473\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 4*o**2 + 3*o - 5. Let n(q) = q**3 + 4*q**2 + 2*q - 4. Let d(c) = 4*n(c) - 3*w(c). What are the prime factors of d(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(3)*6)\/(-1*sqrt(500) + sqrt(500) - sqrt(500)) + 5.\nAnswer: -3*sqrt(2)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4789*t**2 + 16 + 343*t**2 - 14 in the form v*t + j + x*t**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9 - (-55)\/(-3). Let o = m + 13. Let k(b) = 29*b + 26. Let t(y) = 10*y + 9. Let n(d) = o*k(d) + 17*t(d). What is the derivative of n(f) wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/180 and -73\/9215208.\nAnswer: 46076040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuffzff. Give prob of picking 1 f and 1 u.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and 34903384767.\nAnswer: 34903384767.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*o = -23*o + 122 - 122. Which is the biggest value? (a) 4\/7 (b) 2\/3 (c) o (d) -1 (e) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4387 times 2833.3\nAnswer: -12429687.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*v - 6 = -41*v. Suppose 3*w - 4 = c, -7*c - 8 = v*w - 5*c. Solve -3*s - s - 8 = w for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-8)*-82 - -18*25\/600. What is the greatest common divisor of w and 13453?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (161\/(-7) - -11) + 21. Solve -k*m = -93 + 111 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = -215*y + 223*y - 93 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 245 = 37*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - q - 52 = 0, 3*h + 31 = -3*q + 91. Is 698\/h - (-2)\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82 + 43 + 40 + 43*p)*(120*p - 283*p + 139*p).\nAnswer: -1032*p**2 - 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*1\/20*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2497 in 4, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.0699921 + -1.07. What is i rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7979484905 + 0.737.\nAnswer: -7979484904.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5320746 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/(-204)*(1112\/(-33))\/139*3\/(-2)?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 1 - 5 - q + 14*q. Let f be b(6). Suppose -3*l = 5*v - v - f, -2*l = v - 14. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(2340\/(-480))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 13*x**2 - 16*x - 17. Let b be k(-14). Let o = b + -29. Let i = 65 + o. Does 22 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92023 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b - 10 = 0. Suppose -1414 = -0*f + b*f. Let n = f - -167. Round n to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 14 + 34. Let u = c + -18. Let q(f) = f**2 - 3. Let b(v) = 6*v**2 - 17. Calculate u*b(a) + 34*q(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(539) + 1)**2 - sqrt(539)) - ((2*sqrt(539))**2 + -3 - sqrt(539)).\nAnswer: -1608 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 15*y**4\/4 + 18*y**3 + 18*y**2 - 24*y - 122. Factor g(q).\nAnswer: 3*(q + 2)**2*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1966469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9491 + 9537. Sort 0.3, o, 5 in descending order.\nAnswer: o, 5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.91 - -231529.19422.\nAnswer: 231525.28422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 2\/3 (b) 0.97 (c) -12359\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/2)\/(p**(-2)\/p)*p**(-2\/11)*p*p*p\/(p\/p**(-2)*p))**(8\/13) assuming p is positive.\nAnswer: p**(116\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287841*q + 26063 = -287452*q for q.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p**3 - p - 1. Let z be u(-1). Suppose -25*s = -z*s - 95085. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -5.\nAnswer: 34\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31*q*y**2*z**3 - 4757*q*y**2 + 96*q*y*z**2 - 36*y**2*z**3 + y*z**3 + 44901*z**3 wrt y?\nAnswer: -62*q*z**3 - 9514*q - 72*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:55 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 68, 0.04, -0.2, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q - 4*t + 25, -q - 4*t + 9 = 0. Let o be 6*((28\/q)\/(-7) + -1). Solve -o = -0*k - k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 229 in decreasing order.\nAnswer: 229, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 19*j**2 + 3*j + 2. Give p(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000142512207 to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = r - 3*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 13\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 809*d + 102 = 818*d, 79 = 4*f + d for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -62101564\/19 greater than or equal to -3268504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 117 = -2*v, 0 = -7*j + 4*j + v - 79. Let w be 12\/(-270)*j + -1. Factor -2\/9 + 1\/3*t**2 + w*t.\nAnswer: (t + 1)*(3*t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, h: 1, f: 1, i: 2, p: 1, y: 1}. Give prob of sequence vhy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/360 - y**3\/6 - 2*y**2. Let g(k) be the first derivative of f(k). Let i(z) = -2*z. What is i(g(m))?\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 56, 4\/3, 9, -2, 2\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3756, 3755, 3754, 3753, 3752, 3751?\n\"Answer: -f + 3757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (-134)\/((-20 - -34) + -12)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -12*u**2 - u + 11. Let z(y) = -10*y**2 + y + 9. Let m(k) = 2*d(k) - 3*z(k). Let p(s) = 6*s**2 - 4*s - 4. What is -4*m(o) + 5*p(o)?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18714\/(-10) + 0 + 3 + -2. Let p = 205339\/110 + a. Find the common denominator of p and ((-177)\/(-54))\/(2\/(-3)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 30*l - 91 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u + 75. Let l be v(-15). Put l, -5, 4 in descending order.\nAnswer: 4, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -268 - -463. Let m be 6\/(-4) - z\/(-26). Suppose 2*t - 3*p = 7*t - m, -4*p + 8 = -4*t. Solve t*x + 3*x + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*(x\/(x*x**(2\/19)*x))\/x)\/(x*x\/(x**(-2\/29)\/x)) assuming x is positive.\nAnswer: x**(-1749\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 112 = u, -4*c = u - 140 + 50. Let y(s) = s + 18. Calculate the lowest common multiple of y(0) and c.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(3 - 5))\/1. Let p(l) = 5*l. Let o(t) be the third derivative of -11*t**4\/24 + t**3\/6 + t**2 + 80*t - 3. Calculate j*p(u) - 2*o(u).\nAnswer: -3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1032*o + 117. Let p be s(-1). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 458 in ascending order.\nAnswer: -1, 3, 458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 56*x**3 + 4*x**2 - 7*x - 2. What are the prime factors of l(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*a**2*o**3*z + 61*a**2*o**2*z - 7*a**2 + a*o - 52*o**3 wrt z?\nAnswer: -17*a**2*o**3 + 61*a**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1387, 1341, 1337, 1369, 1431, 1517?\nAnswer: 1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 675 and 3865.\nAnswer: 521775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*f + 5*f = 73, -2*f + 104 = 3*v. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/10 and 3 - (1 + (-284)\/(-44)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 3*j + 13*j**2 + 2*j + 6 + 327*j**2. What are the prime factors of k(-1)?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/56*2)\/((-801)\/(-3560)). Let y(f) be the first derivative of -1\/7*f**4 + 3 + 0*f - p*f**3 - 2\/7*f**2. Factor y(q).\nAnswer: -2*q*(q + 2)*(2*q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (280\/80)\/(2\/1)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005584036?\nAnswer: 2, 2053, 122453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -213, -1\/3, -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(192)*-2 + sqrt(192) - (-1 + 3*sqrt(192)) - (-5*sqrt(192)*-5*-1 + 2))**2.\nAnswer: 336*sqrt(3) + 84673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/12402 and 139\/4680.\nAnswer: 248040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**25)\/(t\/(t\/t**(-44)*t)*t) assuming t is positive.\nAnswer: t**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2709 = 7*l. Which is smaller: l or -902?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3301 <= 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 238382 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 13602*x + 15417867.\nAnswer: 3*(x - 2267)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t - 2*h + 15 = 25*t, -4*t + h = 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 1 (c) 137 (d) 5 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5206.23 and 22731269.\nAnswer: 22736475.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 9:27 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -285*q + 27923. Calculate a(98).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 613674.1l to millilitres.\nAnswer: 613674100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -3*p + 62. Let b be (-1 + -2)\/(p\/(-2)). Let s be -2 + (-36)\/(-8) + 9\/6. Sort s, 0, -4, b.\nAnswer: -4, 0, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 - 10 = -13*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 18 = 2*h - 2*g, -3*h + 22 = -5*g. Let x be (-21)\/(-2)*(-4)\/6. Let a be (((-7)\/4)\/x)\/((-10)\/8). What is the nearest to h in 3, 0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**3. Let i = -1685 - -1690. Let x = 15 - 12. Let f(o) = -7*o**3 + o. Give i*y(j) + x*f(j).\nAnswer: -j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-15))\/((-13)\/((-520)\/32)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 4*g)*(-15*g - 17*g - 17*g).\nAnswer: 196*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131433 or -131432?\nAnswer: -131432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 929?\nAnswer: 2\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 4 + -28 + 10. Let w = 19 + j. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 6.116?\nAnswer: 8.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 6533658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 30 = -15. Calculate the smallest common multiple of o and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138176 and 60112.\nAnswer: 30536896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urodlido. Give prob of picking 1 l, 1 i, and 1 u.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*s - 12, -2*l + 4 = -0*l + 5*s. Let g = l + 11. What is the units digit of g\/((2 - 5)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 20\/6)*(-45)\/(-30). Suppose -k*f + 8*f - 48 = 0. Calculate the lowest common multiple of f and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3744 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 + 5*y**2 - 14*y - 4. Let x be q(-4). Which is the closest to -1? (a) 10 (b) x (c) 0.5 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007995 to 4 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 9*a = -11394. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1577571207 to the power of 1\/3, to the nearest integer?\nAnswer: 1164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -868, -1357, -1846, -2335, -2824, -3313?\n\"Answer: -489*p - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 16, 5 in decreasing order.\nAnswer: 16, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - i + 1. Let n = 8 - 5. Let t(m) = -640 + 635 + 4*m**3 + 0*m**3 + 5*m. Give n*t(p) + 15*q(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + 71. Let l = q + 15. Let c be 1\/2 + (-4)\/2. What is the nearest to -1 in l, 0, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88\/177831 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1290505 - 1290506.510738. Let q = l - -1.51. What is q rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 15 - u - 32 + 3*u + 13. Determine k(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h + h**4)*(94*h - 9*h + 14*h + 85*h).\nAnswer: 184*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18, -0.5, -148, -99?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35623\/126432 - 2\/3951. Which is greater: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2270*1504.35\nAnswer: -3414874.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 5 + 168\/(-18). Let d = 79\/12 + u. Which is the third biggest value? (a) 3\/5 (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 565865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3957 - -1?\nAnswer: 3958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.1 (b) -6\/19 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*a - 23 = -i, 0 = 5*i + 5*a - 40. Let p = -10 + i. Let h(w) = -5*w + 1. Give h(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010110100 + -110?\nAnswer: -100010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 5*x - 13. Let y = 82 - 89. Let g be m(y). Solve 1 + g = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/13 - 38*k**3\/13 - 96*k**2\/13 = 0.\nAnswer: -16, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*b**2 - 4 - b**3 + b**4 + 3 as p*b + k*b**4 + g + m*b**2 + j*b**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 940 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3 - 9503035*y**2 - 38012280*y + 114036660 = 0.\nAnswer: -6, 2, 1900611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 143717161 to the power of 1\/4, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 8 + 6. Let x be 0 + (-3 - -2) + -1. Let z(b) = -10*b + 2. Let d(a) = 3*a - 1. Let p(w) = r*d(w) + x*z(w). Give p(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -755000 + 422528. Let n = y - -332515.9986. Let o = n + -44. What is o rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 156\/(-8)*2\/(-1). Let j = s - 9. Suppose 0 = -3*k + 9 + j. What is the remainder when 24 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*l - 8*l + 25*l - 56)*(11 + 8*l**2 - 11).\nAnswer: 8*l**3 - 448*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 - y**2 + 8*y - 14. Let b(x) = -6*x**3 - 8*x + 15. Let d(o) = -6*b(o) - 7*f(o). List the prime factors of d(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -10. Suppose 0*t = 2*o - 4*t - 6, 0 = 4*o + a*t + 18. Let m = 47 - o. What is m rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 11 - 17)*(-60*o + 108*o - 58*o)*(3*o**4 - 3*o**4 - 2*o**4).\nAnswer: -360*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-4 - -5) - 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1430159, 1430155, 1430149, 1430141, 1430131, 1430119, 1430105?\nAnswer: 1430089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/177 and 4\/8074917.\nAnswer: 8074917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4\/5*s**5 + 2*s**4 - 2\/5*s + 6\/5*s**3 - 2\/5*s**2 + 0 = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.05 + -4.05. Let i be 4 - 30\/8 - 0. Which is the closest to -0.2? (a) z (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000301631 to seven decimal places.\nAnswer: -0.0000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 371582764187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (43\/559)\/(2\/(-4))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27940 and 25?\nAnswer: 139700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-2)*1\/(-38). Let c = -0.08934 + 0.38934. What is the smallest value in c, 3, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/11 (b) -2\/21 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/2, -1, -4.667, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 302872529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24805311 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 67 by 30699.\nAnswer: 67\/30699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by (-12)\/14*4914\/(-162).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from popppppppppop. Give prob of picking 1 p and 1 o.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -11000?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1880 and 3869510.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -433 (base 10) in base 7?\nAnswer: -1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/11, -8, 1, -11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807 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: Put -1, 4, -8, 5, -2 in descending order.\nAnswer: 5, 4, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 41480 to the nearest one thousand.\nAnswer: 41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + q - 1. Suppose 3*k - 9 = -0*k. Let x = -5 + 3. Let d(h) = h + 1. Let s be d(x). Let f(l) = 2*l**2 + 3*l - 3. What is k*w(c) + s*f(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -215136446 or -215136447?\nAnswer: -215136446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1062 + -987. Calculate the greatest common factor of 105 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -10. Let r be (3 + -1)*(0 - s). Suppose g + r = -0. Which is bigger: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 34\/399, -31\/5, -3?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/471 (b) -282 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -1 + 2 + 2*v + 8*v - 17*v. What is k(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = -19*j + 622 + 102 for j.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*5*(-1)\/(-10)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241*k - 91 = 234*k. Suppose 0 = 46*n + k*n - 236. Let h(i) = -i - 1. Let y be h(-2). Solve -g + y + n = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28945 - -29096. What is the highest common divisor of 3 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 2 e when four letters picked without replacement from dddddedeedddeddddd.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 629 + -135. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -11. Let c(a) be the first derivative of a**2 + 4*a + 4*a**2 + 0*a + 30 - 28 - 2*a**w. Suppose c(r) = 0. What is r?\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97 + 1860*w - w**3 - 3730*w + 1867*w to the form t*w + c + f*w**2 + b*w**3 and give c.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4 + 2*p**3 - 24*p**2 = 0. What is p?\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 273 + -221 + (6 - 6).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86 + 4*f - 46 - 2*f - 40.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4987.14m to centimeters.\nAnswer: 498714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 64*b - 10. Let o be a(5). Let q(z) = -3*z + 119. Let u be q(-7). Let t = o - u. What are the prime factors of t?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 14) to base 6.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 + ((1 - 4) + 1 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 16*v + 1\/3*v**2 = 0.\nAnswer: -45, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-12))\/h*h*h**1)\/(h**(1\/6)\/(h**4\/h)))**(2\/3) assuming h is positive.\nAnswer: h**(-43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3412, -3794, -4176, -4558, -4940, -5322?\nAnswer: -5704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 36. Which is smaller: 5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35+-140752362749\nAnswer: -140752362784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yeyyxzieeeeyxyyyexy. What is prob of sequence yey?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1339 divide 779366788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 135 - 55. Does 33 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -342609373*f**2 - 342609373*f**2 + 1027828112*f**2 - 342609369*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 5*n**2 - 1345*n + 1340 = 0.\nAnswer: 1, 268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.19 less than -37?\nAnswer: -53.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1919 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: Calculate (-15)\/144*((-3)\/(-55))\/(10\/55).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -83 in -4, 1\/4, 13, -108, -5?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*z + 3. Suppose -g + 3*g - 16 = -v, 3*v - 2*g - 16 = 0. Suppose 6*k + b = 2*k + 12, 0 = -2*b - v. Put k, z, -2 in decreasing order.\nAnswer: k, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 156\/112 - 18\/8\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-4))**0\/(((u*u*(u*(u\/(u\/u**(5\/4)))\/u)\/u)\/u*u)\/(u\/u**11)) assuming u is positive.\nAnswer: u**(-49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 1. Let f be y(-2). Let m(c) = -c + 6. Let i be m(5). Let u = f + i. What is the highest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -11.5 (c) -171722\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8080*u - 4571 with respect to u.\nAnswer: -8080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1755555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.932 + -0.068. Let t = 17.25 + -0.23. Let f = -17 + t. Which is greater: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p + 4*p)*((4 + 11 - 5)*(4 - 4 + 6)*(-2 + 2 + 2*p) + p - 3*p + 0*p + p + 4*p - 4*p + (5 - 3 - 4)*(-p + p - p) - 2*p - 1 + 1 + 2*p + 2*p - 2*p).\nAnswer: 242*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652635 - 652635 + 5*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k + 189. Determine s(-49).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.01 + 0.05. Let j = 0.2 - 0.16. Let u = i - j. What is the closest to u in 1\/2, -1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001264 rounded to 6 decimal places?\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.05 + 0.05. Let t = w + 4.00095. What is t rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*14\/18 - -1. Let k = -31654.5 - -31654. Sort k, 4\/9, -0.1, c in increasing order.\nAnswer: k, -0.1, c, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 43365?\nAnswer: 2\/43365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1018, -2351, -3684, -5017, -6350?\n\"Answer: -1333*c + 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0 + 0)*(2*i**2 - 2*i**2 - i**3) + (-4*i**4 + 2*i**4 + 0*i**4)*(0 - 2 + 4).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2807184 divided by -467864.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 39782651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*q + 3044 - 13754. Let s = q - 376. Does 36 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7663, 7666, 7669, 7672?\n\"Answer: 3*g + 7660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -42*v + 1804. What is r(44)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((0 + sqrt(19))*-6 - (sqrt(19) + 0 + -4))*4.\nAnswer: -96 + 168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v - 9. Calculate x(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**2 + 9*f + 7. Let w(g) = 4 + 11*g**2 + 3 + 4 + 20*g - 6*g. Let m(b) = 8*a(b) - 5*w(b). Solve m(s) = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190578 and 94254?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45020213 (base 6) to base 13.\nAnswer: 3860b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1650, -3298, -4950, -6606, -8266?\nAnswer: -9930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -340*v**4 + 186636*v**3 - 23740584*v**2 - 522714496*v - 36779136 = 0.\nAnswer: -19, -6\/85, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162462 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.008*1123757.\nAnswer: 8990.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m**(-1)*m)*m)\/m)\/m)**48*m*m**(1\/5)*m**(3\/5)*m*m*m\/m**(1\/4)*m\/(m**4\/m)*m*(m**0)**9 assuming m is positive.\nAnswer: m**(71\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016361 rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*q**4 + 553917*q**3 + 2*q**2 + 34111386?\nAnswer: -144*q + 3323502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**4\/12 + j**3\/2 + 5*j**2\/2 + 12*j. Let k(b) = -9*b + b**2 + b - 14 + 2*b**2. Let q(h) = 2*k(h) + 7*p(h). Calculate q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = x + 5*o, -4*x - o + 41 = 0. Let f(w) = -w + 9. Let b be f(x). Sort 4, b, -5 in descending order.\nAnswer: 4, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1044, -1042, -1038, -1032, -1024?\n\"Answer: f**2 - f - 1044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from sszsszzsssszz?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-4\/7)\/(v**35\/v))**36)**(-4\/15))**(-12) assuming v is positive.\nAnswer: v**(-139392\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 54. Suppose -5*q - 123 = 4*s, -s = -5*q + 29 - 142. Let o = q + i. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/20 - 17*j**4\/4 - 43*j**3\/3 - 832*j**2. What is the first derivative of z(c) wrt c?\nAnswer: 6*c - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10831844.21 rounded to the nearest 1000?\nAnswer: 10832000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-5))\/((-12)\/20)*33. Let r(f) = f**3 + 13*f**2 + 5*f - 3. Is 23 a factor of r(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.174 and -233.\nAnswer: 40.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226 - -25140076.\nAnswer: 25140302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2446*z = -2409*z - 37 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*f - 214 = -x + 4*x, 2*x - 4*f = -156 - 50 for x.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 2:14 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/533004 and 27\/3109190.\nAnswer: 18655140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 149709243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 3*k**2 - 612*k = 0.\nAnswer: 0, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12185225?\nAnswer: 5, 13, 37493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3 and 83182.\nAnswer: -108136.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4*b - 125485880*a**3*b - 967696336*a*b wrt a?\nAnswer: -12*a**2*b - 752915280*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*u - 2*u - 50, 0 = 2*i - 5*u - 38. What is the highest common factor of 384 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -406*p + 20197. Determine q(49).\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(19 + (-9475)\/500). Solve -v + 5*t + 14 = 0, 0 = -135*v + 132*v + 4*t + j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 173 - 314. Let z be i\/(-27) - 4\/18. Let c(t) = -t**2 + 7*t - 5. What is the least common multiple of c(z) and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 82845546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w - 15 + 70 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 8*i + 9*i)*(3*i**3 + 6*i**2 - 6*i**2).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 10*12\/(-24)*13\/(-5)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 3, -14.15, -12.16, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 9*y - 9. Suppose 4*l = 2*s + 62, 2*s = -5*l + 64 + 27. Let g = -11 + l. Calculate the remainder when 16 is divided by o(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.09 (b) 1\/3 (c) -1\/2 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -14 in descending order.\nAnswer: -3, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19275494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc8c6 (base 13) to base 2.\nAnswer: -1010011100000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g - 36*g**2 + 53*g**2 - 2*g.\nAnswer: 17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*r + r - 3*w, -3*w - 18 = -2*r. Find the common denominator of r\/1 + ((-3316)\/2944 - 2) and -119\/18.\nAnswer: 6624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - t + 5096 = 1080, 4*h + t - 3213 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 divided by 23\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2 + 174*p + 3029. Calculate c(-11).\nAnswer: 1720","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*x - 9490 = 0, 0 = -j + 2*x - 1877 + 5047. What are the prime factors of j?\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -110 - -21. Let j = 92.96 + t. Round j to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1406 and 63\/76?\nAnswer: 2812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzgtxxtxmkttmtxtmt. What is prob of picking 1 m and 3 x?\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100 and 37912?\nAnswer: 947800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s + 106 = -114. Suppose -x - s*j + 4769 = 0, 22 = -4*j + 30. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/7122 + 4741\/49854. Let p(n) be the first derivative of h*n**3 + 5\/7*n**2 + 8\/7*n + 21. Factor p(v).\nAnswer: 2*(v + 1)*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 498009?\nAnswer: -5\/166003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 1. Suppose -q = -3*x - 25, -10*q + 41 = -8*q - 3*x. Suppose -17*p = 67 - q. Determine k(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + -5 + 4)**2*4.\nAnswer: -80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -182*o**2 - 28*o. Let w(a) = 33*a**2 + 5*a. Give 5*j(m) + 28*w(m).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2402.969 milligrams?\nAnswer: 2.402969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 + 4*j**2 - 4*j. Let s(y) = -5*y**3 - 9*y**2 + 9*y. Let w(m) = -6*m - 10. Let n be w(-4). What is n*i(q) + 6*s(q)?\nAnswer: -2*q**3 + 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 3896604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = -13*s - 234, -16*s + 10*s + 10*s + 39 = -3*d - 20 for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*g + 3*g. Let x be ((-4)\/g - -2)*51. Let u = 35 - x. What is the remainder when 2 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of n**6\/720 - n**4\/6 + 5*n. Let r(p) be the third derivative of b(p). Let g(y) = -3*y. Calculate g(r(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a - 4 + 12 - 5*a. Let n be w(6). Let r = 59 + -62. Is n smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26253853.\nAnswer: 26253853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07756 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 542559 rounded to the nearest 10000?\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q. Let x(j) = -15292379*j**2. What is x(o(y))?\nAnswer: -244678064*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/69, -6, 2\/7, 21, -2\/5, -3\/7 in ascending order.\nAnswer: -6, -3\/7, -2\/5, 2\/69, 2\/7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {g: 4, c: 16}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 182*k - 88*k - 85*k + 0 + k**3 - 9*k**2 - 7. Suppose 0 = 9*r - 68 - 4. What is d(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 73281615 divided by 2\nAnswer: 73281615\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -14.4, -79741, 3, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*d**3*m - 3*a*d*m**2 - 25*d**3*m**2 - 3*d**3*m - 20*d**2*m - 2*d*m wrt m.\nAnswer: -6*a*d - 50*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1647, 6546, 14723, 26184, 40935?\n\"Answer: z**3 + 1633*z**2 - 7*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w - 4*w - 1 - 2*w. Let g be v(-2). Suppose -2*i + 5*x = -37, -42 = -3*i + x - g. Is i a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*j + k - 3, -3 = 3*j + 98*k - 96*k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599017 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 7*b**2 - 4*b + 11. Let i be y(-5). Let p = 19 + i. Suppose 0 = -3*g + 5*n + 52 + 6891, 5*g - 5*n - 11585 = p. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105*95.\nAnswer: 9975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 281701?\nAnswer: 1\/281701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qb when two letters picked without replacement from {l: 16, b: 3, q: 1}?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + 7*y**2 + 3316*y - 2*y**2 + 1 - y**2.\nAnswer: 8*y**2 + 3316*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 10*v - 8*v + 16, 0 = y + 11*v + 134 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41)\/(2788\/(-1428)) + 40\/(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6800\/(-35))\/(9\/(-189)). Calculate the common denominator of (-2666)\/s - (-24)\/(-180) and -39\/32.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9073588ns to seconds.\nAnswer: 0.0000000009073588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 13*q**2 - 21*q - 81. Let n = -694 - -680. What is the remainder when c(n) is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/7 - 32653*z**2\/7 - 266538275*z\/7 + 266570929\/7 = 0. Calculate z.\nAnswer: -16327, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142813*l + 3*l**3 - 884*l**2 - 142813*l - 345*l**4 wrt l.\nAnswer: -8280*l + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - (-23)\/7. Let k(o) = -o**2 + 4*o + 2. Calculate k(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2467, 5182, 7887, 10576, 13243?\n\"Answer: -m**3 + m**2 + 2719*m - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 + c**2 + 2*c + 1. Let t be p(-1). Let q = 2 + t. Solve -2*r = -4*r + u - 3, q = 5*r + 5*u + 45 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, b: 6, r: 2, v: 1, o: 1, a: 3}. Give prob of picking 1 a and 1 r.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -77130870 and 2.\nAnswer: -154261740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47277127?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -570 + 1230. Suppose -17*u = -5*u - n. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3429 - 3428. Suppose 3*q - 2 = -5. What is the nearest to q in -2\/7, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-seven quarters of a week?\nAnswer: 1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96726 + -78329.\nAnswer: 18397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 7. Let z(s) = -s**3 - 17*s**2 + s - 13. Let p be z(-17). Let h = u - p. What is the lowest common multiple of h and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -38 and -398.\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -h**6\/30 + 58*h**2 - 43*h. Find the first derivative of w(g) wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -413*a**3 - 71*a**2 - 74*a - 3. Calculate the remainder when 433 is divided by g(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/13 and -121\/650?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(98)*-1)**2.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 969 divide 6650247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463176 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 91 = 501. Suppose g = 3*i + z, 7*g + 4*i - 420 = 5*g. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -n + 4893 - 4910, 55*n = -2*f + 185 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 2*y**5\/95 + 3*y**4\/19 + 8*y**3\/19 + 8*y**2\/19 - 70. Let q(v) = 0. What is v?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 82 - 80.76. Let h = 35.4 - x. What is h rounded to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1544 - -1544.000003553. Round x to 7 dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*(-8)\/6. Let j be 15\/(-25) + 16\/10. Is j >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57.3 + -56. Let g = -2375.8 - -2376. What is the third biggest value in r, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600209596 to the power of 1\/3, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 0. Suppose 4*b + 4*k + r = 12, 2*k + 31 = 5*b. Suppose 2*w - 6 = -2*s + 2, 0 = b*w - s - 20. Solve -5*z - w = -z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 1, -1, -270, 15 in decreasing order.\nAnswer: 15, 3, 1, -1, -4, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3))**(-25)\/((u*u\/(u\/u**(-2\/13)))\/(u*u*u**(-2\/11))) assuming u is positive.\nAnswer: u**(-3158\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -39, -89, -145, -207, -275?\n\"Answer: -3*s**2 - 41*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 23811*x + 272. Is h(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37723 = 150*h - 29323 for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 737 + 1250. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2846*w**5 + w**2 - 105*w - 7 wrt w.\nAnswer: -170760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h. Let u = -89 - -124. Let d(c) = -2928*c - u - 31 + 2929*c. Determine s(d(n)).\nAnswer: -n + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 27*n - 109. Let z be x(5). Let t = 10.7 - 12. Let o = t - -1. Which is the closest to -1? (a) z (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 102, 21, -128, -345, -630, -983, -1404?\n\"Answer: -34*g**2 + 21*g + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = -4*y + 16*r + 4422, -2*r = 3*y - 3318. What are the prime factors of y?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 14.8\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48? (a) 0.3 (b) 0.03 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -10*n**3 - 444*n**2 + 299*n + 670. Give j(-45).\nAnswer: -635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2227 is divided by 2205?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156702 and 79170.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/36 - 790*(-2)\/24. Solve 3*c - 77 = -r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 2*i + 1. Let q(n) = 3*n**2 - 26*n - 11. Let d be q(9). Determine z(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, o: 4, f: 1, p: 6}. Give prob of picking 1 p, 1 z, 1 f, and 1 o.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*f - 4*y, -4*y + 18 = f + 1. Suppose -2*d - 3*d = f. Let b = 3 - d. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(-10115)*17*5*1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b - 7. Give w(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 53436 = l, -2*l + 5079*m - 5082*m = -106896. Does 135 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 22*j**2 + 2*j + 1. Let f(l) = -l**3 - 8*l**2 + 10. Let u be f(-9). Suppose u = -6*x + 241. Find the common denominator of x and b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-441*a**2 + 149*a**2 + 215*a**2)*(4 - a**2 - 4) - 3*a**4 + 2*a**4 - a**4 - a**4 + 1 - 1.\nAnswer: 74*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 17. Let b be (-3)\/15 - (-63)\/m. Calculate the greatest common factor of b and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 + 15*i. Let c(b) = b. Let h(q) = -30*c(q) + 2*d(q). Let o(v) = v + v - 6*v + 2*v. What is o(h(z))?\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14345925 + -78.29003\nAnswer: 14345846.70997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -71, -68?\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -806*f**2 + 463*f wrt f?\nAnswer: -1612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b875 - -109?\nAnswer: -b768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**3 + 8*r**2 - 18*r. Let p be l(4). What is the highest common factor of 40 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 3. Let f be 1 + -2*2\/(-4). Let b(c) = -c - 1. Suppose -5*k = 4*p - 0*p - 5, 20 = 3*k - p. Determine f*o(z) + k*b(z).\nAnswer: z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybyzcyzyyz. Give prob of picking 3 z and 1 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 2161948*l + 38914740.\nAnswer: (l + 18)*(l + 2161930)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (sqrt(21)\/sqrt(3))**2 + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + 1*sqrt(117) + 4 - sqrt(117) - -4*1*sqrt(117).\nAnswer: 4 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16077532*b**2 - 6*b + 107987750 wrt b?\nAnswer: -32155064*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 64*j**3 - 13*j**2 - 97*j - 174. Determine c(-3).\nAnswer: -1728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**2 - 29*i + 3. Let g(j) = -4*j**2 - 30*j + 4. What is 3*g(k) - 4*r(k)?\nAnswer: -4*k**2 + 26*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*q - 8709, 2*s - 17446 = 6*q - 7*q. List the prime factors of s.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8970 and 121290.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.04 (b) -4 (c) 40 (d) 0.02 (e) 80 (f) 1\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) + (-1*sqrt(360))\/sqrt(6) + (sqrt(60) - sqrt(120)\/(-2*sqrt(2))))\/(((sqrt(1815) - (sqrt(1815) + sqrt(1815)*-1)) + sqrt(1815))\/(sqrt(12)*5)).\nAnswer: 15*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {b: 10, t: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -23374705.\nAnswer: 46749410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -2*t**3\/3 + 5*t**2\/2 - 4*t - 1. Let r(o) = -o**3 - 3*o**2 + o - 3. Let q be r(-4). Let u be 4\/(-6) + 33\/q. Give j(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1684900 and 27\/350.\nAnswer: 1684900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17750*k**4 - 14730*k - 712513241 with respect to k.\nAnswer: -71000*k**3 - 14730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9005806*h**4 - 22495030*h wrt h?\nAnswer: -108069672*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 - 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93987074 is divided by 64774.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/5 or -235\/8?\nAnswer: -235\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3754, 7487, 11210, 14917, 18602, 22259?\nAnswer: 25882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2091.84*-0.02\nAnswer: 41.8368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 = -p - 2*o, 4*p = -o + 55. Let l be -8*(-6)\/(-4) + 3. Let a = -3 - l. What is the lowest common multiple of a and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-513)\/39 - (-10)\/65. Let i be (p + 13)\/(0 - 2). Let n(j) = j**3 + 4*j**2 + 4*j + 4. Let w be n(-3). Put i, w, -4 in descending order.\nAnswer: w, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - 2. Suppose 0 = -2*w - v*w + 12. Suppose 0 = -w*n + 21. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 1\/5 (c) -5\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 11 - 17. Suppose 3*x - r = -4*n + 3*n, n - 6 = -x. Find the third derivative of -2*c**2 + 0*c**3 - n*c**6 + 0*c**3 wrt c.\nAnswer: -240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 - v**4 + v**4)*(1 + 0 + 0) - v**4 - 2*v**4 + v**4 + 2*v**4 - 2*v**4 + 3*v**4.\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3289\/8 - -2895\/8. Let g = j + 48. Find the common denominator of -18\/11 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 328863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1240 - 471. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 12 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (15 - (-228060002 - -19)). What is u rounded to the nearest one million?\nAnswer: 228000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -16745\/169 and -99 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1582 and 507144.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16\/7, -195, 0.3, 2\/9, 1?\nAnswer: -195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 213371880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/42*3)\/((-3720)\/(-840))\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-12)\/(-60) + (-33)\/(-5) and -39\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29536571819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsuqisqwqwua. What is prob of sequence iuq?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/6 + 1157*w\/3 + 2019556\/3.\nAnswer: -(w - 3476)*(w + 1162)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69 and 5888.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 298.\nAnswer: 29.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 39339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 14 = 2*t. Suppose -4*c - q + 4 = -5, -15 = t*q. Suppose c*v + 175 = 3*x + 37, 0 = -2*x + v + 91. Is 24 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197760922 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 1. Let a(d) = 3*d - 6. Let g = 9 - 4. Calculate the remainder when a(y) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 5*n - 5. Let k be 49\/21 + 2\/(-6). Let q be b(k). Let p(d) = -3*d. Let g(l) = l. Let z(v) = q*g(v) + 2*p(v). Calculate z(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10569 + 3601 = -536*u for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -154077?\nAnswer: -30815.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*s**2 - 22*s**2 - 5*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/2 (b) 70\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12212 - -10120212222?\nAnswer: 10120200010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(1\/(-2)) + 0. Let o be 12\/9 + j\/(-3). Find the second derivative of 0*z**4 - o*z**4 + 5*z - 3*z wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - 13) + -24 - 11?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2243\/975 - 62\/25. Find the common denominator of (2\/18*3)\/((2420\/341)\/(-11)) and m.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.425, 4, 27?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of (0 - (-528)\/64)*1944\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-10))\/(297\/3465).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 25 (b) 1\/3 (c) 2\/9 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 - -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -440, -438?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -7 (c) 0 (d) -5\/4 (e) 45 (f) -1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/3)\/(2\/(-6)). Let g be (2 - x\/4)*6. Calculate the greatest common divisor of 33 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 10 + 17)*(30 - 30 - 4*m) + 7 + 2 + m - 2 - 3*m + 2*m + 0*m to the form w*m + i and give w.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 t, and 1 z when three letters picked without replacement from {t: 3, z: 3, s: 2, a: 10}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7543 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j + 29. Let x(c) = -c**2 + c - 1. Let h(f) = -f**2 - 16*f + 29. Let u(p) = h(p) - 2*x(p). Let q be u(17). Let d be z(q). Solve d = -4*o - 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -147726464 divided by -318376.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 3495.6806, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11120 (base 3) to base 16.\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -6. Let j be 50\/(-4)*(-12)\/15. Is j at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85400 + 6577493\/77. Let s = 152\/7 - b. Is s smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - 24*o + 85. Is 12 a factor of p(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/126)\/((-62)\/(-36) + 44\/(-198))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.41641 times -0.5?\nAnswer: 0.708205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 - 1. Let i(a) = -55*a**2 + a - 4. Determine i(r) - 4*w(r).\nAnswer: -43*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -5, 7220753?\nAnswer: 7220753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a**2. Let b(h) = 9*h - 10. Let x(l) = 27*l - 29. Let p(f) = -11*b(f) + 4*x(f). Give z(p(j)).\nAnswer: -405*j**2 + 540*j - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*((b\/(b**(-8)\/b))\/b)\/b*b**(-2\/21))**(-2\/5)\/((b**(1\/6)*b*b**(2\/13)\/b)\/(b**(1\/3))**8) assuming b is positive.\nAnswer: b**(-3319\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1598.5 + -1598. Which is the closest to 1? (a) v (b) 31\/7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:19 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + a = 65, -4*a - 286 = -4*o - 18. Let y = o + -64. Factor 0 + m**3 - 1\/2*m**y - 1\/2*m**4 + 0*m.\nAnswer: -m**2*(m - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 158, 0.1, 0, -1\/2, 2.3, -2.\nAnswer: -4, -2, -1\/2, 0, 0.1, 2.3, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3923796 by 4.\nAnswer: -980949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 136898781 to the power of 1\/3, to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(500) + sqrt(500)*-1)\/(sqrt(640)*-3) - ((sqrt(64) + sqrt(64)*1*6)\/sqrt(8)*-1)**2.\nAnswer: -392 - sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 7. Let y be t(5). Let b = -8 + y. Suppose 2*x + 4 = b*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606504825?\nAnswer: 3, 5, 23, 233, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*f + 7 = 0, -t - 4*f + 36 = 3*t. Let v be (-6)\/36 - (-145)\/(-30). Put t, v, -2 in descending order.\nAnswer: t, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 13. Let w = -3\/71 + -127\/355. What is the closest to w in 2, -1\/6, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8360 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-588)\/(-126))\/((8\/(-213))\/(-4)). Calculate the highest common divisor of q and 1349.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 484\/(-16) + -4 + (-17)\/(-4). Let d be (6\/(-10))\/(0 + 2\/g). Solve -6*v + 3 = -d*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-2))\/(-6*4\/8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 96429 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 14. Which is the second biggest value? (a) 0 (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + -26320340?\nAnswer: -26320310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156 - 47. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**2*m**3 - 139*h**2*m - h**2 + 73*h*m**3 - 17*h*m + 165*m**3 wrt m.\nAnswer: -12*h**2*m + 438*h*m + 990*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1995327 is divided by 668?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(2 + (-18330)\/9162). Suppose -23*s + 2*i = -26*s + l, -s + 509 = 2*i. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 8*l**2 - 6*l - 7. Let c be o(7). Suppose c = 3*z + 2*z - 35. Let m be z\/(-2)*(-8)\/14. Solve 2*s + 3*a = -5, m*a + 16 = 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d + 13. Let z be -1 + 2 + (1 - 0). Let r(m) = m**2 + 13*m + 6. Let v be r(-13). Let t(h) = 20 - v - 10. What is z*u(x) - 7*t(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 19*w**2 + 13*w + 13. Let b(v) = 9*v**2 + 6*v + 6. Let x(q) = 13*b(q) - 6*r(q). Let s(i) be the first derivative of -i**3 + 6. What is x(s(z))?\nAnswer: 27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 200 and (40\/7 + 0)\/((-92)\/(-644))?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176.684 - -0.316. Let z = -176.5 + y. Let h = -1.94 - 0.06. What is the biggest value in z, h, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 14 = -12. What is the third derivative of 13*w**2 + 3*w**4 - z*w**2 + 6*w**2 wrt w?\nAnswer: 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -1, -2\/143, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368 is divided by (-7)\/21 - 452\/(-6).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2 + sqrt(2736) + -4)**2.\nAnswer: -216*sqrt(19) + 2817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11 and 1039376?\nAnswer: 11433136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*n**2*t**3 + 2588*h*n**2*y + h*n + 6*h*t**3 - 232*n**2*t - 2*n*t**3*y wrt y.\nAnswer: 2588*h*n**2 - 2*n*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -119, -99, -79, -59?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -4 + -1 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 1. Let q(z) = -31*z**2 - 2*z. Let l(i) = -2*o(i) + q(i). Let h(t) = -3*t**2. Give h(l(x)).\nAnswer: -2883*x**4 + 372*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11271806 and 2366?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 y when four letters picked without replacement from yyyjyyjjyj.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -2*y**4 + y**3 + 4*y**2 + 13*y + 144. What is the tens digit of a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9410)\/(-25) + 6\/(-15). Factor -3*o**2 + 6 + l*o - o**4 - 380*o + 4*o**3 - 2.\nAnswer: -(o - 2)**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -723, -1441, -2161, -2883, -3607, -4333?\n\"Answer: -t**2 - 715*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41680655.50000105 + -41680660. Let b = -22 - -17.5. Let h = z - b. What is h rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4409.\nAnswer: 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.685 + -29.685. What is the third smallest value in -3\/5, 65, q?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 506564 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((2*(-3)\/(-114))\/(89\/(-89))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107, 1\/5, 0.3, 9125 in decreasing order.\nAnswer: 9125, 0.3, 1\/5, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**3 + y**3 + 0*y**3 + (y**2 + 2*y**2 - y**2)*(46 - 46 + 10*y) - y**2 - y**3 + y**2 - 2*y**3 + 3*y**3 + 2*y**3.\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 3590208?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -12, -27 = 3*p - 2*j - 3*j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2))\/((-1)\/4). Suppose 0 = -12*b + 13*b. Let g(s) = -3*s**2 - 2*s. Let y be g(b). Solve k - j*k + 2 = y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31758, -31761, -31772, -31797, -31842, -31913, -32016, -32157?\nAnswer: -32342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -16*x**3 + x**2 - 47*x - 102. Calculate h(-2).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 195981489727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141245 - -18.\nAnswer: -141227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 622.\nAnswer: 9\/622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**3 - 2*b + 1. Let a(w) = -5*w**3 - w + 1. Let x = -150 + 147. Calculate x*u(c) + 4*a(c).\nAnswer: -2*c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -27. Let b(y) = -y**2 + 2*y + 3. Let t be b(0). Let z = -34 - -34. What is the closest to -1\/4 in t, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsuq when four letters picked without replacement from fqfbsuf.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 1)*(1 - 1 + t) - 2*t - t - 2*t + (-5*t - 2*t + 3*t)*(-8 + 3 + 3) in the form v*t + w and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38777 - 38782. What is the fifth smallest value in 0.2, -2, 0.02, -11, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -809*t**2 - 63092*t + 113559905 wrt t.\nAnswer: -1618*t - 63092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-80)\/(-24))\/((-4)\/(-6)). Suppose -4*a + d = -2072, -a + s*a = -d + 2072. Suppose -5*z + 4017 + a = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1320*a**3*b + 35340362*a**3 - 11219*a**2*b**2 + 3*a wrt b.\nAnswer: 1320*a**3 - 22438*a**2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 2\/2 + -2. Let r be (-2)\/(-1) - 384\/168. Which is the second biggest value? (a) w (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x. Let d(a) = 3*a. Let t be ((-18)\/15)\/((-1)\/(-5)). Let j(p) = t*v(p) - 7*d(p). Let r(l) = 10*l. Give r(j(i)).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3830\/13 at most as big as -294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(70) - (sqrt(70) - (sqrt(70) + -5*-2*sqrt(70))))\/(2*sqrt(90)).\nAnswer: 2 + 11*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -424*n + 1355. Give d(3).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(52))*-2 + sqrt(52)*2 + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**6 + 2304600*m**5 + 6721*m**2 - 3*m - 5 wrt m.\nAnswer: 240*m**3 + 138276000*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0*z**(2\/13))\/(z**(2\/5)\/z)**(-21\/4)*((z**0)**(-19\/4))**47 assuming z is positive.\nAnswer: z**(-519\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -49*l + 6. Let c(y) = 270*y - 32. Let w(f) = 2*c(f) + 11*r(f). Give w(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 21*t - 22*t. Solve t*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6\/251 - -1321\/2761. Calculate the common denominator of s and -2 + (-208)\/36 + (-2 - -2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15969199 to the nearest integer?\nAnswer: 3996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4\/5 - 889*a**3\/5 - 51131*a**2\/5 + 119221*a\/5 + 158784 = 0.\nAnswer: -827, -64, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -4\/9, 3, 17\/5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 5:44 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w = -t + 34*w + 10106, -t + 10155 = 5*w. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 12. Let f(x) = 5*x**3 + 2*x**2 - 2*x + 5. Let m(b) = b**3 - b**2 + b + 1. Let w(j) = i*m(j) - f(j). What is the units digit of w(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 511 + -494. Let d(j) = j**3 + 6*j**2 - 5*j - 1. What is the remainder when d(-4) is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15251813 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -300 + 294. Find the common denominator of -35\/11 and m\/(-4)*-3*2000\/4560.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12c1a0 (base 14) to base 9.\nAnswer: 1186701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/14 + 442\/(-70). Suppose 223 - 20 = -29*t. Are t and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 1 x when three letters picked without replacement from {h: 2, r: 1, f: 1, x: 1, p: 1, j: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928 (base 10) to base 4.\nAnswer: 32200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 1950954\/553 and 3527 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-8) - (7 + (-4)\/1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31\/6 - 5)*23\/115*-9.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -34. Let y(u) = 3*u**2 + 5*u - 21. Let k(o) = o**2 - o - 1. Let i(r) = 2*k(r) - y(r). Let q be i(f). What is the highest common factor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*r + 2*r - 2, -5 = -r - 5*o. Suppose z + 6 = -r*z. What is the common denominator of (102\/20)\/(z + 3) and -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, -7, 2 in descending order.\nAnswer: 2, -0.26, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 233826695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + -6. Let x(o) = -2*o**3 + 5*o**2 + 5*o + 4. Let n be x(5). Let m = s - n. Is m a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2 + 21036*o = 0. Calculate o.\nAnswer: -5259, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 47*m**6\/60 + m**5\/30 - m**4\/8 + m**3\/2 + 10*m**2 - 9*m. What is the second derivative of o(s) wrt s?\nAnswer: 564*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -7\/5 (c) 2\/5 (d) 187 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/4*1\/3. Let k(r) = a*r**2 + 6*r**2 - 8 + 12*r + 8*r. Let j(b) = -2*b**2 - 7*b + 3. Give 11*j(v) + 4*k(v).\nAnswer: 2*v**2 + 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1173247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + 8*l + 4*l + 7*l to z*l + s and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -669, 2\/7, -52, -0.1?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -20*c**5 + 9760*c**4 - 38625*c**3 - 45955*c**2 - 12100*c = 0.\nAnswer: -1\/2, 0, 5, 484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ieie when four letters picked without replacement from {e: 2, i: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 24 - (1 + (2 - 4)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1229, 1174, 1089, 980, 853, 714, 569?\n\"Answer: y**3 - 21*y**2 + y + 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000213098089 to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 26. Let c(a) = 1398*a + 390. Calculate 4*c(b) - 60*j(b).\nAnswer: 5652*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -10. Suppose -p - z + 1 = 0, q = 4*p + 3*z + 2*z. Suppose -21 + 6 = -5*j. Solve -2*m + j*m = p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - r**2 + 4 - 10*r**2 + 3 - 13*r. Let c be n(12). Let l be (1 - 1) + (-5 - 1). Are l and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 73*y**4\/24 + 308*y**3\/3 - 55*y**2 + 5*y. Differentiate b(p) wrt p.\nAnswer: 73","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 3524.2 from 6.\nAnswer: -3518.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141*j - 95*j + 162*j + 59*j.\nAnswer: 267*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 9) to base 7.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/3 + 62*u\/3 + 532\/3.\nAnswer: -2*(u - 38)*(u + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 12:28 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a hour in minutes?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 177*q**4 + 58361*q - 172*q**4 + 420*q**3 + 51399*q + 6020*q**2 + 5740*q**2.\nAnswer: 5*q*(q + 28)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46174, 92348, 138522, 184696?\n\"Answer: 46174*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 638964645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 7*k**2 - k - 10. Let u be 3 + (-3 - -2) - 9. Let l be o(u). Is 4 a factor of l\/(-3*2\/18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 7*p**6\/30 + 47*p**5\/20 + 35*p**4\/6 - 4*p**3 + 11049*p. Let g(v) = 0. What is v?\nAnswer: -4, -3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/3 - 2*r**3 + 13*r**2\/3 - 4*r + 4\/3 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 97, -4, -0.2, -5.\nAnswer: -5, -4, -0.2, 0.1, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.537987379 and 324784.\nAnswer: 324783.462012621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 8*k = -13. Let a = k + 16. Suppose -3*z + a*u = -24, 3*z - 3*u = 5*z - 6. Solve -2*b = -5*b + 3*r + 6, -b = -3*r - z for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5942, -5861, -5718, -5507, -5222, -4857?\n\"Answer: y**3 + 25*y**2 - y - 5967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(24)\/(sqrt(48)*3) + 5)**2 - -1*(sqrt(18) + (4*sqrt(162))**2)).\nAnswer: 14*sqrt(2)\/3 + 47035\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r + 11. Let s(v) = v + 3. Let o(m) = 6*n(m) - 22*s(m). Let i(h) = 2*h**2 - 5*h - 3. Let k be i(3). Let w(d) = -3*d - 5*d + k*d. Calculate w(o(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/13 - 784*h**3\/13 + 5402*h**2\/13 - 4620*h\/13 = 0. Calculate h.\nAnswer: 0, 1, 6, 385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 8*d + 8 - 4)*(-3 - 3 + 4).\nAnswer: 10*d - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4383 + 4415. Calculate the smallest common multiple of k and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 3*z**2 + z - 2. Let g(i) = 7*i**3 + 22*i**2 - 9*i + 13. Let u(y) = -g(y) - 6*q(y). Suppose -12 = m + m + c, -2*m = -4*c - 8. Determine u(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -99772.245 to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q - 19 + 19 - 3*q - 2*q + 2*q**2 + 26*q**4 - 3*q**3 as v*q**2 + u*q**4 + j*q**3 + x*q + i and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016323132533 rounded to 6 decimal places?\nAnswer: 0.000163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 1, u: 8, h: 1, s: 2, x: 6}. What is prob of picking 1 s, 1 x, and 1 h?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-three eighths of a day?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -321, -744, -1531, -2682, -4197, -6076?\n\"Answer: -182*p**2 + 123*p - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/54259 (b) 11.9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.45, 1\/6, -2\/11?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - p - 590, -3*p + p = 10. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 133 + a - 33 - 7 - 27 in the form q*a + v and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 204*a - 2 + 145*a as l + s*a and give s.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2273, -2099, 525, 5599, 13123, 23097, 35521?\nAnswer: 50395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(980)*1 - sqrt(980)) + sqrt(20) - (sqrt(1280) + sqrt(20) + sqrt(20))*-3)\/(sqrt(1210)*1 - (sqrt(160) - 5*sqrt(160))).\nAnswer: 31*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12002112002 (base 4) to base 6\nAnswer: 53530122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -145*h + 155*h - 1 - 4*h**2 + 2 + (-2*h - h - 4*h)*(-2*h + 0*h + 0*h) - 4*h**2 + 5*h**2 - 2*h**2 in the form q*h**2 + o + f*h and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25480, 51055, 76630, 102205, 127780?\n\"Answer: 25575*s - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64680 a multiple of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -86, -235, -510, -953, -1606, -2511, -3710?\nAnswer: -5245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7112 or 6563?\nAnswer: 6563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 426516764 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, p: 1, o: 5, k: 2, x: 1, g: 7}. What is prob of sequence gxkc?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 7*y. Suppose -4*h - h + 25 = y. Solve 2*w + h = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1.9. Let n = 505437285\/538 - 939476. Let k = n - 2\/269. Which is the nearest to x? (a) k (b) 0 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**2\/2 - 8*l + 13. Let h be m(11). Suppose -12 = -r - 3*f, -9 + 21 = -4*r + h*f. Solve r*p + 2 = p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - c**2 + 1. Let p(r) = 5*r**3 - 2*r**2 + 180. Calculate -p(q) + 4*s(q).\nAnswer: -q**3 - 2*q**2 - 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2.3, 0, 20, -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 - -74. Sort p, -20, 2 in increasing order.\nAnswer: -20, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84517 = 48*s - 84901 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -189, -484, -897, -1428, -2077, -2844?\n\"Answer: -59*h**2 - 118*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001867924 rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 6.3. Let k = 2.767 - 3.04. Let g = k + 11.273. Does g = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/((-49)\/(-182)) - 5. What is the greatest common factor of k and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3222556*o**3 - 2*o**2 + 6529423 wrt o?\nAnswer: 9667668*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 14*t - 11. Suppose 5 = z - 5. Suppose -54 = -16*j - 12*j + 3922. Calculate the remainder when j is divided by p(z).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -o. Solve 3*g - 4*l - 23 = 0, -3*l - 16 + o = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, -1, 1, 4, -4 in ascending order.\nAnswer: -4, -1, 1, 4, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*y + 69 = 0. What is the remainder when y is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16095, 16096, 16097, 16098?\n\"Answer: h + 16094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*f + 18600. Round f to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -633082\/63 + 10052. Let b = -20\/7 + r. Suppose 0 - 2\/9*z**4 + 0*z**2 + 0*z - b*z**3 = 0. Calculate z.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -141\/331 - -1367\/1655. What is the fourth smallest value in m, -4\/3, 3, 4, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 318*m - 1623. Calculate g(5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.89 + 0.29. Let f = 3 + v. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1709 - 1710. Sort r, -14, 115 in decreasing order.\nAnswer: 115, r, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 758 = -p + 9748*w - 9448*w - 163, -4*p - 2*w = 78 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 107 - 87 - 825\/30?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -691, -731, -791, -865, -947, -1031, -1111?\n\"Answer: p**3 - 16*p**2 + p - 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*j - y, -2*j + j - 5*y - 14 = 0. Let z = 12 + 19. Suppose -z*f + j = -29*f. Solve -3*c - f - 3 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108*c**2 + 11*c**2 + 33231*c**3 - 33471*c**3 + 6*c**5 - 7*c**5 wrt c?\nAnswer: -60*c**2 - 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162920 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 685599509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + -1. Suppose 27*f - 61 - 47 = 0. Which is the nearest to -2\/7? (a) z (b) -0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -40. Is 4 + -2 + x - -12 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -12, 2226?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -118, -123, -130, -139?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 7:51 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from genqezzznnpnnnq. What is prob of picking 1 g, 2 z, and 1 n?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5075 (base 12) in base 2?\nAnswer: -10001000011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do 13269 and 13290 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 25895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3132 and 2436.\nAnswer: 21924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 346679355 and 5115.\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 plus 18490.9412?\nAnswer: 18498.9412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*h = -104*h - 414 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 319 + -319.3. Let z be ((1 - (-3)\/(-2)) + 1)*2. Let u = -7 - -6.91. Which is the nearest to u? (a) 0.3 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4 + 12*v**3 - 21*v**2 + 10*v = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2205)*-1 - sqrt(2205)) - (-5*(sqrt(405) - sqrt(405)*2) - (sqrt(405) - -4*(sqrt(405) + 0))))**2.\nAnswer: 79380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-14))\/((-252)\/147).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -2611870?\nAnswer: 2611862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrryrrrrrrrryrrrr. Give prob of picking 1 y and 1 r.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 8*d**3 - 105*d**2 + 3*d - 10. What are the prime factors of f(15)?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -28, -35?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 10342908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317975 divided by -25.\nAnswer: 12719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11584 + 11514. Which is bigger: -756\/11 or d?\nAnswer: -756\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*(-4)\/40 - (-48488)\/20. Suppose 3*c - 7*c + s = 0. Suppose 0 = 7*y - y - c. Is y a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -o**5\/20 - o**4\/2 - o**3\/6 + o**2 - 591*o - 2. Let r(n) = -3*n**2 + 4*n - 2. Let t = 0 + 2. Let w be r(t). Give q(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(36)\/sqrt(4)))**2 + sqrt(19) + (-3*sqrt(133))\/sqrt(7).\nAnswer: -2*sqrt(19) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3\/3 + 10*m**2 - 46*m\/3 - 26 = 0.\nAnswer: -1, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w + 2. Let x be (-4)\/(-10) + (-12)\/(-20). Suppose -u - 5 = x. Let n(a) = -2*a - 2. Give u*y(s) - 5*n(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/1)\/(-1) + (-7 - -5). Suppose 4*w + 5*q + 22 = 0, 0 = -w + 2*w - 4*q - t. Suppose 3*a + 20 = -2*a. Sort -9, a, w.\nAnswer: -9, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * -0.114.\nAnswer: -0.0171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -139, -236, -369, -550, -791, -1104?\nAnswer: -1501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-9) - (-77)\/(-42). Put -0.4, -0.5, f in decreasing order.\nAnswer: -0.4, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 584*w**3 + 4*w**2 + 2034*w.\nAnswer: 3504*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -57.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*q - 1080 = 15*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 241466 and 145696.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6940.\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + t = -2*t - 8, 2*n + 5*t - 27 = 0. Let g = n - 6. Let b = -0.4 - 0.1. Sort b, g, -2\/3 in increasing order.\nAnswer: -2\/3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 146 + 2 = 0. Let i = m - -148. List the prime factors of i.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 20 - 4 = 0. Suppose v + 21 = j*s, v - 4 = 5*s - 30. Let y be 9 + v*6\/3. What is the highest common factor of y and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*y - 17*y + 14*y + 1)*(0*y + 2*y - y + (-2 + 2 + 2*y)*(4 - 1 - 1) - 2 + 2 - 2*y) as u*y + o*y**2 + d and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 2104839000.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + sqrt(1008) + (-3*(sqrt(1008) + (sqrt(1008) - (sqrt(1008) - 5*sqrt(1008)))))**2 + 3)*2*6*-3.\nAnswer: -11757420 - 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10361 (base 13) to base 7.\nAnswer: 150656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.37 times 0.17?\nAnswer: 15.3629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93482?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, f: 3, v: 12}. What is prob of picking 1 f and 1 z?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.4 (b) 0.4 (c) -921.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + z**2 - 15*z**2.\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 135 = -143. Suppose -3*j + 11 = -s + 3, 5*j + 3 = 4*s. Which is bigger: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27216 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17373 take away -2585917.5?\nAnswer: 2568544.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12200 + -20?\nAnswer: 12110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 2*n + 3. Let f be v(3). Let t(o) = 4*o + 60. Let u be t(-14). Suppose 2*x - f*x + 60 = u*z, 5*x = 4*z + 30. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 15, c: 4}. Give prob of picking 2 c.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1324263*d**2 + 1324305*d**2 - 52 + 14 as m*d + w + h*d**2 and give h.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -195, -891, -2785, -6477, -12567, -21655, -34341?\n\"Answer: -100*l**3 + l**2 + l - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 141.503 to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - t - 3*t + 3, 2*t - 15 = -5*j. Solve 0*r + 5*b = j*r + 23, -5*b + 19 = r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (-391 + 390 + (-1 - -2))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhkl when four letters picked without replacement from lylxlyyhlhylhlkh?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 200133121 (base 5) to base 8\nAnswer: 3000345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*r - 68*r + 5 = -p, -3*r + p + 1 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 1 + 2)*(0*d - 1 + 2*d - d) as t*d + u and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55608246703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8701720 or -8701716?\nAnswer: -8701716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 + 73. Suppose 2*h + 1253 = x*h. List the prime factors of h.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-10)\/135*93.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5*(1*sqrt(68)*3 - sqrt(68))\/(-5*sqrt(36)))**2*-1.\nAnswer: -136\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 8*d**5 - 1484*d**4 + 39136*d**3 - 43564*d**2 - 1059552*d - 1607760 = 0.\nAnswer: -3, -2, 15\/2, 29, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 36. Let l(a) = 2*a - 3 - 2 + 2. What is l(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4180*c - 41805. What is w(10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82 - 929*s**2 + 918*s**2 - 3*s**3 - 85 + 4*s**3 to the form b + u*s + c*s**2 + m*s**3 and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/7)\/(3*(-12)\/126).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 336 and 202134.\nAnswer: 11319504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 528 and 14.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-56) - (-4)\/(-16). Let j = -5.3 + 5. What is the closest to -1 in j, p, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14379992?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3108582475 to the nearest integer?\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + -4 - (12 - 22).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 x when two letters picked without replacement from nnxn.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3277?\nAnswer: 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7469.863 milliseconds?\nAnswer: 7469863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.73783343 + 1077.\nAnswer: 1077.73783343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 92, 185, 274, 359?\n\"Answer: -2*s**2 + 99*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*5\/((-225)\/6).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 31, -13, 1 in descending order.\nAnswer: 31, 5, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 - 36*x**4 - 60*x**3 + 580*x**2 + 1176*x + 576 = 0.\nAnswer: -3, -1, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 500 and 5125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 973 and 478299?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1539) + -2 + -5 - (-2*sqrt(114)*-3)\/((sqrt(126)\/sqrt(3))\/sqrt(7)))**2.\nAnswer: 336*sqrt(19) + 10993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 - 5*m - 4. Let z = 72 - 66. Determine a(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 254592 and 24876.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 21. Suppose 5 = 5*b - j. Suppose -5*i - b*v + 0*v = -7, -4*i + 9 = -v. Solve -4*h = -p, 6 = i*h + 5*p - 4*p for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + w + 2*w)*(3*w - 3*w - 6*w**2) + (0*w + 0*w - 2*w**3)*(-2 - 1 + 9) + 8*w**3 - w**3 - 3*w**3.\nAnswer: -32*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 684\/30 + 3\/15. Let t = 68 - w. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/12 and ((-2134)\/(-33))\/(4\/3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12*(-5)\/15*(2 + -4). Suppose -2*i - q + 138 = 0, -4*q = 10*i - k*i - 150. What are the prime factors of i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 10:42 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2228, -8703, -19494, -34607, -54048, -77823, -105938, -138399?\nAnswer: -175212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 4:01 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:23 PM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 5*t**3 - 5*t**3)*(-140 + 284 - 17*t - 137).\nAnswer: -51*t**4 + 21*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (44\/(-8) - -1)*6. Let i = -33 - l. Let b(c) = c**2 - 1. Let u(d) = -8*d**2 + 6. Determine i*b(z) - u(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-10))\/(h*h\/h**(-1\/3)*h)*h\/h**(-27)*h**(-26))**31 assuming h is positive.\nAnswer: h**(992\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5 - 3)*(-1 - 235 - 1). Round p to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 10) to base 5\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + -3. Let j = w - -14. Solve -y = j - 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 983*j - 940*j - 180858. Calculate the highest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775111.\nAnswer: 653, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from xxxxcxxxxxxxxxxxxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -h - 65*v + 62*v, -5*v - 42 = 3*h for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (30\/9)\/(-2 - 19\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {f: 7, b: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75 and 16258335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1717 + -1682 - (11 - -4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3. Suppose 21 = v + 4*n, 3*v + 2*v + 5 = 2*n. Let t be j(v). Let x(b) = -t + 2*b**2 + 8*b - 3*b + 3*b - 3*b. Determine x(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1208 in 0, 394, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbwnnnnwncnnvvwcbcn. What is prob of picking 1 n, 1 c, 1 w, and 1 v?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 708600 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 2:23 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8162914 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5610 (base 8) in base 11?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271 = -9*n + 424 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(84)\/(sqrt(12) - -2*sqrt(12) - sqrt(12)).\nAnswer: -2 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a milligram in micrograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + 25\/(-5))*-326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246090 (base 10) in base 13?\nAnswer: -88020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - 0.2. Let z = 0.7 + w. Let d = -2.75777 - 1.24223. Put d, z, 4 in decreasing order.\nAnswer: 4, z, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 41, 37, 37, 41, 49?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + (((sqrt(192) - (sqrt(192) - -4*sqrt(192) - sqrt(192))) + 4)*3*5 + 0)**2).\nAnswer: -2354388 + 259200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - sqrt(66)*1)*-5)\/(2*sqrt(294)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1150054 (base 6) to base 15\nAnswer: 130d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:14 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 29*v**2 + 67*v - 107. Let a be b(31). Solve a = 3*n + 39 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -10. Let d = t + 15. Solve 3*o - 8 = d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -3.\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -6*x + 14. Let k(v) = 5*v - 12. Let a(q) = -6*h(q) - 7*k(q). Let d(p) = 2*p**2 - 3*p - 1. Let j(o) = o + 4. Let w be j(-6). Give w*a(z) - d(z).\nAnswer: -2*z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9432 - -9446. Solve 5*i - 13*s + f*s = 28, 0 = 5*s - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence reik when four letters picked without replacement from {k: 1, x: 2, r: 1, e: 2, i: 1, t: 2}?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -7, -5, 0, 5 in descending order.\nAnswer: 5, 0, -5, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 11. Let t be d(-7). Suppose -30 - 110 = -t*m + 2*i, 5*m - 177 = 2*i. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 585 is divided by 152?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -1 + 1\/2*p**2 + p. What are the prime factors of f(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -168? (a) 8 (b) -3 (c) 3 (d) 2 (e) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s + 10*s = -5 + 313 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16980 + -16981 - (-34 + (0 - -2))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + p = -171, -p + 36 = 3*w - 87. Let m = -12 + w. Let y = -20 + m. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -48. Suppose 2*d - q = -0*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyytyotyoyy. Give prob of sequence ytty.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 19. Let h = b - -3. Let s = h + 9. Calculate the lowest common multiple of 11 and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(77)*2 - sqrt(77)) + sqrt(77) - sqrt(77))*1)\/((sqrt(275) + sqrt(275)*1)*-3)*-6*-4.\nAnswer: 24*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/7 (b) 0.6094 (c) 32 (d) -2.2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 + 228*d + 3594. Let q be w(-17). Sort 17, 6, q.\nAnswer: 6, q, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 4, 0.59, -6, -2\/17, -14?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19959, -20102, -20299, -20556, -20879, -21274, -21747, -22304?\n\"Answer: -m**3 - 21*m**2 - 73*m - 19864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 820279.\nAnswer: 12304185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 42\/(2 - 4). Let n(z) = z**3 + 6*z**2 - 12*z - 17. Let i be n(-7). Let s = i + c. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - 1*(-7)\/(-4). Which is the closest to g? (a) 0 (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*t + d + 3, 3*d = -t - 10. Suppose t*k - 4 = 6. Suppose 6*g = k*g + 145. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44.00091nm?\nAnswer: 0.04400091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4060 + -4060. Sort 4, s, 1, -48 in decreasing order.\nAnswer: 4, 1, s, -48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 141800\/(-9926)*2\/(-10)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven halves of a century?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 8.91. Let v = 2814 + -2814.4. What is the nearest to 0.2 in 0, v, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 5. Let k(d) be the first derivative of d**2\/2 - 4*d + 566. Suppose 3*h - 6 + 2 = -u, 5*h + 5*u = 0. What is h*m(n) - 3*k(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-8) - 2)\/((-13)\/(2 + 206)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28160 is divided by 4012.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16738389 rounded to the nearest one hundred thousand?\nAnswer: -16700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(-72) - 9\/(-4). What is the highest common factor of b and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26417*u - 26413*u - 100 = 0 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16d60 (base 14) to base 10\nAnswer: 57512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 5a40?\nAnswer: -5a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1859771\/2758380 - 1082\/1483. Find the common denominator of -77\/40 and t.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -949146 divided by -3.\nAnswer: 316382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 15 - 30 = 0. Let k = -13 - w. Suppose -5*d - 2 = k*n - 1, -3*n = -4*d - 10. What is the nearest to n in 4, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + -5 + (0 + sqrt(847))**2 + ((sqrt(847) - (-2 + sqrt(847))) + sqrt(847))**2 + 1).\nAnswer: -8495 - 220*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2320895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5734 is divided by 1145.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7161, 7125, 7091, 7059?\n\"Answer: m**2 - 39*m + 7199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5803035990 and 0.025?\nAnswer: 5803035989.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/3)\/(17\/51). Let l(s) = -8 - i - 2 + 43*s. What is the units digit of l(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 21 = 1. Let g(a) = -5*a - 1. Let j(s) = 4*s + 1. Give t*j(o) - 3*g(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3024918, -6049875, -9074832, -12099789, -15124746?\nAnswer: -18149703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1121251 or -1121250?\nAnswer: -1121250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1188*k**3 + 188 wrt k?\nAnswer: 3564*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7465, 7488, 7511, 7534?\n\"Answer: 23*w + 7442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 206*z + 16. What is the units digit of l(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**3 + f**3 + f**2 - 3*f**2 - 2*f**2 - 6*f. What are the prime factors of p(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - o - 4*o + (2 - 1 + 3)*(3 + 1 - 2)*(-29*o - 48*o + 603*o).\nAnswer: 4206*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 2*j + 7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-5 + 0 + 1)*(0*y + y + 0*y)*(-y**2 - 2*y**2 - 5*y**2).\nAnswer: 64*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6707090*a - 4245916 wrt a?\nAnswer: -6707090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i. Let a(m) = -m**2 + 3*m + 3. Let l(k) = 12*k**2 - 32*k - 32. Suppose 2*x + 0*x = -64. Let s(f) = x*a(f) - 3*l(f). Determine q(s(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h. Let v(x) = -2*x**2 - 62 + 62. Calculate s(v(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 1*sqrt(320)*-3 + -1 + -1 + sqrt(320) - (-1*1*sqrt(320) + sqrt(320) + 0 + sqrt(320) + 3))*2)**2.\nAnswer: 576*sqrt(5) + 11556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16155 is divided by 67?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine thirds of a century?\nAnswer: 11600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*n + 3)*(0 + 0 - 429*n - 3790*n - 400*n).\nAnswer: -9238*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -386 + 387. Which is smaller: -8\/113 or u?\nAnswer: -8\/113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -6018 in decreasing order.\nAnswer: 4, 2, -6018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4532812 millilitres to litres.\nAnswer: 0.0004532812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -11 + (-8 + 27 - 0) + -1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*z = -2, -3*x - 5*z + 6 = -0*x. Let d(c) be the first derivative of -3\/2*c**x + c + 7. Determine d(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (69*h + 41*h + 28*h + 32*h)*(0 + 0 + 1) as m*h + v and give m.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 9, -2, 2, -1268?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(6\/11)*s*s*(s\/s**(-4\/25))\/s)\/(s**(-7)*s)**(-47))**(-2\/13) assuming s is positive.\nAnswer: s**(153612\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 p when two letters picked without replacement from {v: 3, g: 1, p: 3, s: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 81, 270, 641, 1254, 2169, 3446, 5145?\nAnswer: 7326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.08 + 0. Let n = -9780 + 9784. Which is the nearest to 1? (a) n (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*g - 25 = -26, -4*g = -16. Let t(j) = -2*j**2 - 15*j + 16. What is t(i)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275028450?\nAnswer: 2, 3, 5, 1833523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8310789, 33243404, 74797769, 132973890, 207771773, 299191424, 407232849, 531896054?\n\"Answer: x**3 + 8310869*x**2 + x - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351 (base 9) to base 6.\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 2904?\nAnswer: -1\/726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 4*r**2 + 23*r - 110. What is p(5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53, -59, -65, -71, -77, -83?\n\"Answer: -6*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 o, and 1 e when three letters picked without replacement from okssxoeskssks?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3021?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 7. Suppose -3*x - 32 = -4*b - 5, q*b + 4*x = -11. What is the units digit of (5 - 3)*b\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 0 + 3\/2*l - 1\/2*l**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 759, 6236, 21103, 50058, 97799, 169024, 268431?\nAnswer: 400718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28*1659\/37632 + 20\/(-16).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/((-480)\/220)*1\/(-1)*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - -4.09. Let p = 7 - d. What is the nearest to p in -2\/3, 2\/19, -0.3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1846267277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 8\/40*0. Let q(m) = -m + 9. Let r(k) = -1. Determine t*r(j) - q(j).\nAnswer: j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r**2 - 14. Suppose 2*t + 3*u - 29 = -10, t + 8 = 2*u. Let j(f) = -736*f + 736*f - t*f**2. Give j(d(c)).\nAnswer: -32*c**4 + 224*c**2 - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t - 3*t**2 + 4 + 2*t**2 + 1 + 6*t**3. Let y(p) = -p**3 + p - 1. Let h(q) = 3*s(q) + 15*y(q). Find the third derivative of h(d) wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(3 + (-28)\/26 + -2). Solve -10*p + u*p - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 242 - 243?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - 342469*a**2 + 342469*a**2.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -29 (b) 4 (c) -31 (d) -0.064 (e) 2\/13 (f) 5 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.0527 to one decimal place.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, m: 5, y: 3}. Give prob of sequence hhyh.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-2800)\/30)\/(-5)*378\/294\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14312167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11205 divided by -4?\nAnswer: 11205\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d + 3*d + d + d + 2*d - d - 6*d + 2*d + 3*d + (0 + 1 + 1)*(0*d - 3*d + d) - 2*d + 2*d - 2*d + 2*d + 0*d - 3*d - 1 + 2 + 0 - d - 3*d - 3*d + 47*d.\nAnswer: 35*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/36*(-405)\/90\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*g - 1623 - 267 = 126*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 273. What is the highest common divisor of q and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-2)\/(-3)*-1. Suppose -6 = -t - y*t. Solve -5*m - 25 = -3*f, -3*m + t*f - 8 = 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 20628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2362.443 rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 85*l + 1589. What is c(-56)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 14*q - 29. Let s be (-77)\/5 + ((-2)\/40)\/((-5)\/40). Give f(s).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 7. Let m(v) be the first derivative of -v**4\/4 + 7*v**3\/3 - 3*v**2\/2 - 3*v - 1431. Let r(c) = 6*c**2 - 2*c - 2. What is d*m(n) + 3*r(n)?\nAnswer: 2*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 18515*j - 111057. Calculate o(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (7 + 43 + -45)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**4 - 4*g**4 + 2*g**5 + (5*g**4 - 2*g**4 - 2*g**4 + (g - 2*g**2 - g)*(-3*g + 3*g - 2*g**2))*(3 - 3 + 2*g).\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 3*g + 77439*g**2 - 38636*g**2 - 38654*g**2 to b*g**2 + c + u*g and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1915)\/(-10))\/((-1)\/2). Let t = 223 + w. Let x be (-3)\/(-4)*t\/(-60). Let b(r) = -8*r - 2. Give b(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -0.0135 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -343524 (base 7) in base 8?\nAnswer: -167605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Suppose 4 = -4*d, 3*d + 0*d + 3 = o*i. Suppose i = -2*y + y + 13. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/9? (a) -2\/11 (b) -13 (c) -4 (d) -0.115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 23136 and 3240?\nAnswer: 3123360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.23 - -0.27. Let p = -0.2 + 0.24. Let v = w - p. Sort -3\/4, -2, v in descending order.\nAnswer: -3\/4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - b - 6, 21 = 4*s - 3*b. What is the second derivative of 4*u - 2*u - 16*u**3 + s*u**3 wrt u?\nAnswer: -78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -145*n + 13. Let u(q) = 3*q + 5. Let b be u(-4). Let d be w(b). Suppose -o = 3*o - d. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f**(1\/9))*f*f\/f**0*f*(f*f**1)**(12\/11))\/((f**0)**(-16\/5)*(f**(-1)\/f)**(-20)) assuming f is positive.\nAnswer: f**(-3359\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**2 - 18*h + 36. Determine a(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1133 + 4?\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 57091 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 542 and 2197296?\nAnswer: 595467216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 7) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6785981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3 - 3)*(2 + 2 + 1)*(-1 + 1 - 2)*(-2*u**4 - u**4 - 3*u**4).\nAnswer: -60*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19943 is divided by 9954.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 510*6.\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l\/l**(-3\/5))\/l)*l**(-13) assuming l is positive.\nAnswer: l**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 4) to base 16\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -17283, -34572, -51865, -69162?\n\"Answer: -2*x**2 - 17283*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2191, 2186, 2181, 2176, 2171, 2166?\nAnswer: 2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*r = 362 - 86. Factor -1\/3*v**r - 1\/3*v + 2.\nAnswer: -(v - 2)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**5\/60 - i**4\/4 - i**3\/6 + i**2. Let p be r(5). Let k = 9 + p. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/2160 and 125\/12348.\nAnswer: 740880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 684428228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -504344, -504281, -504218, -504155, -504092, -504029?\nAnswer: -503966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -372*j - 546*j = 6081 - 1491 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1746, -1\/7, 2\/7, 304, -0.5 in descending order.\nAnswer: 304, 2\/7, -1\/7, -0.1746, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58680 is divided by 76.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4823\/36 - -561\/4. Let g be (-1)\/72*(-617964)\/824. Let z = g - -1\/1648. Find the common denominator of n and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2042*g**3 + g + 1. Let a be h(-1). Let j = a - 829. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/9 != 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356 less than -0.24?\nAnswer: -3356.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 4:12 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vbmmdbtv. What is prob of picking 2 b and 2 m?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1\/(12\/(-3))*-48868?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + 366*u - 366*u + 159.\nAnswer: -u**2 + 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**3\/6 + 8*n**2 - 22*n. Calculate the remainder when 69 is divided by l(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 259 - 230.2. Let u = 29 - f. Put -0.5, u, -5 in descending order.\nAnswer: u, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.182 - -16.318. Let t = f - 16.2. Which is the biggest value? (a) -5 (b) -15 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/3276*-21*3094\/(-204).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -9*d**2 + 2*d - 5. Let n be -27 + 29 - (0 + 7 + 1). Let s(h) = -17*h**2 + 4*h - 9. Give n*s(y) + 11*u(y).\nAnswer: 3*y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 308 - -1. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3 - l)*(-241 + 241 - 3*l)*(-2*l**3 + l**3 - 2*l**3).\nAnswer: -9*l**5 - 18*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -266 + 271. What is the nearest to 0.2 in -1, n, -0.247?\nAnswer: -0.247","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6 - (-383 + 359)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48222774 divided by -20661?\nAnswer: -2334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1359*u**2 - 12 + 1259*u**2 + 50 to i*u**2 + p + b*u and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1069491, 1069489, 1069487?\n\"Answer: -2*f + 1069493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 86637 in decreasing order.\nAnswer: 86637, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9*s - d = -55731, d - 22290 = -2*s. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97873000 rounded to the nearest 1000000?\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512638, 1025271, 1537900, 2050525, 2563146, 3075763?\nAnswer: 3588376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from aavaggaxv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*s - 6685 = -6824 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134739?\nAnswer: 3, 11, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44669873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1493?\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkykkkkkkkkk. What is prob of picking 1 k and 1 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 7:52 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 27145?\nAnswer: -27140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7183 = 243*p + 4145 - 2383 + 8308 for p.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -59393, -3, -61 in decreasing order.\nAnswer: 0.2, -3, -61, -59393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5960677?\nAnswer: 977, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -102591571, -205183143, -307774715, -410366287, -512957859, -615549431?\n\"Answer: -102591572*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1))\/(522\/5104*8\/6).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = -12. Let v be (3 - 3)\/(l + -3). Suppose -4*n + 7*n - 2730000 = v. What is n rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 592 and -65768.\nAnswer: -38934656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7713, -7625, -7423, -7113, -6701, -6193?\n\"Answer: -d**3 + 63*d**2 - 94*d - 7681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 739873585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 22*j - 43. Let p be y(12). What is the first derivative of -191 - 24*m - 113*m + 24*m - 19*m - p*m wrt m?\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3414 is divided by 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230525\/35 + (-12)\/28?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1 + 0*u - u + u**3 + 0*u - u**2. Let b be v(2). What is the greatest common factor of 15 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-30))\/((-15)\/75).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g - g**5 + 6*g**4 - 42877*g**2 - 2*g**3 + 3 + 42861*g**2 + 7 = 0.\nAnswer: -1, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, u: 3, n: 2, j: 1, x: 3}. What is prob of picking 1 p and 1 x?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 813627634 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 34168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 493\/16 + -5\/16. Let v = 4706\/707 - 23\/101. What is the common denominator of v and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -777*b - 3*b - 57104 = 521*b + 27*b for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 5*y - 11 = 0, 2*h + 30880*y - 30884*y = 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*188\/11592 - (-20 + 17 + 450\/140)?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbyfbfbyblbblfyfl. What is prob of sequence yy?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/33926 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**5\/2 + 419*o**4 - 5761*o**3 + 16806*o**2 + 11525*o\/2 - 17225 = 0 for o.\nAnswer: -1, 1, 13\/3, 10, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 6*d + 3. Let k be u(-6). Suppose -6*p + 4*p + 4 = 0. Solve 3*q - p*f = 5*q, -k*f + 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 9 + -4 + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/3*6\/(-22). Let s = 229\/4 - 57. Let t = -247\/3 + 81. Which is the nearest to 1\/6? (a) s (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53 + 38. Is k equal to -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 799*c - 596. What is the hundreds digit of b(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l. Suppose -12 = o - 4*o. Suppose -11 = 5*p + o. What is the units digit of s(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*w + 13 = 0, -5 + 21 = -4*c - 4*w. Does -2 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 + -30. Suppose -f + 4*x - s*x = -42, 5*f - 252 = x. Does 24 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 922912820 to the power of 1\/3, to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.146441 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -11*r**2. Let s(c) = 8*c. Determine s(w(k)).\nAnswer: -88*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 623, -5.\nAnswer: -5, 0.3, 623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/40*(-1 + (52 - 1)). Let v = t + -15. What is the remainder when v is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1432 (base 5) in base 2?\nAnswer: -11110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-16) - 26\/(1872\/(-423)))\/(2\/16)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/11)\/c**6)\/((c\/(c*c**0))\/(c*((c\/(c\/(c\/c**(-9))))\/c)\/c))*(c**(-1\/3)\/(c**(2\/19)*c))\/(c\/c**2*c)**49 assuming c is positive.\nAnswer: c**(922\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -247, -5\/6, -3\/5, 3\/7, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24072.52 nanometers to meters.\nAnswer: 0.00002407252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -28205*i**2 + 15489*i**2 + 14808*i**2. Let t(k) = -k**2. Calculate t(r(h)).\nAnswer: -4376464*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 13 = 2. Suppose 4*g - u = -4*z + 9, -z + 7 = 2*g. Suppose a + 13926 = -3*n - 88375, -136398 = g*n - 2*a. Round n to the nearest one thousand.\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -22*f + f + 170 - f**2 + 3*f**2. Is b(9) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -67. Suppose t*k = 11*k + 33. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201808 is divided by 40350?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4 = 2*j - 13, 5*j + 2*n - 24 = 0. Suppose s = j*s. Suppose -3*f - 2*f = s. Solve 0 = x + c - 6*c - 16, f = 3*x + 5*c + 32 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/13, -23, -0.2?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 130.439+0.656\nAnswer: 131.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p + 163. Let d be w(-32). Let v be 7 + 1 + 4\/((-4)\/d). Calculate the greatest common divisor of 4 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4 + 3*a**3 - 2*a**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-10)*15\/3. Let a = -13 - l. Sort 1, 4, a.\nAnswer: a, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and -10147437 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**3 - 919*b**2 - 251919*b - 21638745 = 0.\nAnswer: -505, -207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3141 - -3140. Put 5, y, -5, 10 in descending order.\nAnswer: 10, 5, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-28)\/42*6\/(-4). Let y be -1*(-4 + (w - -5)). Let l be (30\/(-55))\/(y\/22). Solve -4*u + l = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*p + 21 + 39, -2*p = 3*h + 46. Let y be -2 - (-59 - (h + 6)). What is the greatest common divisor of y and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 549 and 1464?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 2, m: 11, h: 1}. What is prob of picking 2 m, 1 t, and 1 h?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3 + 460*z**2 - 13366*z - 13824 = 0. Calculate z.\nAnswer: -256, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millisecond in nanoseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 34, 38, 52, 82, 134?\n\"Answer: w**3 - w**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1198 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 - 3*r**2 + 7*r + 9. Let m(s) = -s**3 + 2*s**2 - 3*s - 4. Let a(v) = -5*m(v) - 2*o(v). Suppose -72 = -4*b + b. Let j = 27 - b. What is a(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8694 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -424584*d**5*f - 2*d**2*f + 2*d*f + 17044*f wrt d.\nAnswer: -25475040*d**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -67\/8610, 0.1?\nAnswer: -67\/8610","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129551 and 4771.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 50.3.\nAnswer: 49.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4459 = -4*l + 60739, -3*a + 3 = 0. What are the prime factors of l?\nAnswer: 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-12)*(-24)\/(-9). Let o be (0 - -6) + (-8)\/4. Suppose 3*k + 6 = g, o = 2*g - f*k - 8. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -52, 53, 292, 731, 1436, 2473, 3908?\n\"Answer: 11*n**3 + n**2 + 25*n - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 1345.\nAnswer: 4035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 2*m - 3. Let z(k) = k - 12. Let q be z(15). Give c(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21505\/28 + -5386\/7. What is the common denominator of p and 109\/840?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -9) + 292698\/(-41811). Is 1 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -299537\/15, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 907? (a) -2\/13 (b) -4 (c) 1 (d) -3 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/13 - 2*f**2 + 36*f\/13 + 720\/13.\nAnswer: -2*(f - 5)*(f + 6)*(f + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 624, 1087, 1858, 2937, 4324, 6019?\n\"Answer: 154*v**2 + v + 469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0.5. Let r = -241 - -243. Sort -1\/11, r, m in decreasing order.\nAnswer: r, -1\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 30\/(-27)*(-18 + 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15118 + 6448 + 7573 - 4*a)*(0*a - 2*a**3 + 0*a) as k*a**2 + s*a**4 + n*a**3 + t*a + l and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340 divided by 68.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2866852 divided by 716713?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2246*m + 3848*m - 2672*m + (0 + 2 - 3)*(m + 0*m + m) + m + 3 - 3.\nAnswer: -1071*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*m - 17*m + 31*m - 13*m + 16 - 58 in the form n*m + z and give z.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f**2 + 4*f**2 + 3*f**2 + (2*f - 1 + 1)*(-f + 2*f - 3*f) - 316*f**2 - 349*f**2 + 743*f**2 in the form o*f + j*f**2 + z and give j.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -805 and -1?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**16\/(j\/(((j*j**(2\/19)*j)\/j)\/j*j)*j*j) assuming j is positive.\nAnswer: j**(268\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 >= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -10. Is 12 a factor of w\/((1\/(-3))\/(16\/(-6)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/56*-6)\/(-3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -181550486 - -1?\nAnswer: -181550485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -1)\/(-4 + 5). Let h(c) be the second derivative of 5*c**4\/12 - 2*c**3\/3 - 2*c**2 - 8*c + 3163. What is h(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141422757.\nAnswer: 10273, 111109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0293993835 minus 8016?\nAnswer: -8015.9706006165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6060 - 2803 = -366*w - 1909 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**2 - 4293064*r - 1151899906756 = 0.\nAnswer: -536633","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + j - 84, -84 = -4*s - 2*j + 4. Calculate the lowest common multiple of 50 and s.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, e: 1, j: 2, a: 1, h: 1, u: 1}. Give prob of sequence hjus.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((131\/((-22270)\/(-357)))\/((-56)\/(-20)))\/(134\/(-8))?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*h - 56*h = 77*h + 10695. What is the highest common divisor of 299 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, r: 2, k: 1, j: 3, p: 1, x: 2}. Give prob of picking 2 j and 1 r.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*y + 65772 = -42*y. What is the greatest common divisor of y and 420?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - ((-6)\/(-11))\/(-1). Suppose 0 = -4*x + w + 2*w - 94, -3*x = -4*w + 74. Let b = 23 + x. What is the nearest to b in k, 2, 3\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/1239*2 + 31 + -31. Is i at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 287*u**2. Let h(b) = b**2. Determine h(y(w)).\nAnswer: 82369*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -194 + 152. Let c be (-6)\/k*(-196)\/(-72). Is -1 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 4*j - 3. Let i = -323 - -326. Suppose -11*x + 6 = -13*x, -i*z + 5*x + 3 = 0. Determine p(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.9275 + -0.0725. Let p = 0 + -0.1. What is the closest to p in j, 0.3, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 1.63394530598651?\nAnswer: -2.13394530598651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10040104 (base 5) in base 10?\nAnswer: 80654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5 + 7 = 0, -3*b = 2*v. Solve -r + b*h = -3 + 2, 31 = 5*r + 3*h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 100 = -0*a. Let d be (-3)\/12 - a\/(-8). Suppose -2*r - 140 = -4*y, d = -6*r + 3*r. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2. Let r(x) = 24*x - 19*x - 34 + 132 - 92 - 101. Give r(p(n)).\nAnswer: -10*n**2 - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -831, -828, -823, -816, -807, -796, -783?\n\"Answer: b**2 - 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -399*n + 217*n + 5*n**3 - n**2 + 196*n wrt n?\nAnswer: 30*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -28*k + 2. Let m be d(2). Calculate the remainder when 12*-5*(-2)\/30 is divided by m\/(-12) + 6\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1250 (base 9) to base 8\nAnswer: -1650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2612559.90000005 - 2612560. Let g = 0.2 - 0.1. Let d = g + u. Round d to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 359.6 - 359. Let n = 3.07 + -0.07. Which is the second biggest value? (a) -1 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102 - 70. What is the least common multiple of m and (-2)\/(-1)*80\/(-140)*(-11 - 3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(19) + -3 + sqrt(114)\/sqrt(6)))**2.\nAnswer: -108*sqrt(19) + 765","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/3 + 134024*q**2\/3 - 13516022*q\/3 = 0. Calculate q.\nAnswer: 0, 101, 66911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 747493, 2989890, 6727191, 11959396, 18686505, 26908518, 36625435?\nAnswer: 47837256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*k - 49*k**2 - 27*k to the form o + r*k + j*k**2 and give j.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.04, -0.3, -3, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 939, -7, -1291, 0, 4 in decreasing order.\nAnswer: 939, 4, 1, 0, -7, -1291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -396 + 396 - 27*l - 27*l as u*l + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 2046?\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -12. Let a be j\/8*24\/18. Solve 0*f + 2*f - a = t, 4*f - 7 = 3*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62)\/12 - ((-462)\/(-36) - 13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2051 = -5*l + 211. Let d = -169 - l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -322, 2\/15, 248, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k**2. Let n(s) be the third derivative of -11*s**7\/2520 - 5*s**4\/8 - s**2 + 5. Let d(q) be the second derivative of n(q). Calculate d(h(v)).\nAnswer: -275*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -5*y - 440. What is n(59)?\nAnswer: -735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -61*a**2 + 2*a - 241. Let x(d) be the first derivative of d**3\/3 - 3*d + 221. Let z(t) = -n(t) - 2*x(t). Find the first derivative of z(r) wrt r.\nAnswer: 118*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 46*n**3 - 650*n**2 + 621*n + 28. Calculate g(1).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 + 5*s**2 - 5*s**2 + (2 + 2 - 3)*(5*s**3 - 3*s**3 - 3*s**3) - 3*s**3 + 12 - 12 + 21 - 3*s**3 - 79 - s**3.\nAnswer: -6*s**3 - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.852 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by -40.\nAnswer: -29\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (64\/4)\/(-4) + 23. Suppose 5*n - 3*n + y + l = 0, 2*n - 3*y + 23 = 0. Let p(b) = 10*b**2 - 15*b - 17. Is p(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 0 + 1\/6*n**5 + 1\/15*n**6 + 0*n + 1\/6*n**4 + n**2 + 0*n**3 + 1\/105*n**7. Factor p(m).\nAnswer: 2*m*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -333*l**3 + l. Let m be b(-1). Suppose 3*r + m = 5*r. Let k = -76 + r. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24030802 is divided by 6007693.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9049 is divided by 764?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r**2 - 5172116*r - 94413507?\nAnswer: 2*r - 5172116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 2 + m**2 - 10*m**4 + 0*m**3 - 7*m**3 + 9*m**3 + 15*m**4 to the form z*m**2 + h + o*m**4 + s*m**3 + y*m and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 + -42. What is the tens digit of (12\/l)\/(18\/(-189))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 + 92. Solve -2*k = -k + u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 0*r**3 + 1\/12*r**4 + 0 + 6*r**2 + 34*r. Is u(-9) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqineen. What is prob of sequence qei?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 942188194 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 2*y**3\/9 + 29*y**2\/3 - 20*y + 39. Let g(h) = 0. What is h?\nAnswer: -30, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-5 - 100\/(-8))*104\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119802 divided by -39934\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*m + 126. Suppose -5*j + 35 + m = 0. Calculate the smallest common multiple of 2 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Suppose x = 2*j - 10, -j + x = o*j - 18. Put 2, -1, j in descending order.\nAnswer: j, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 a when four letters picked without replacement from {e: 7, a: 5}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.00000058 - 7. What is f rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3869 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1372314 is divided by 456919.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/24820754 and 95\/52?\nAnswer: 645339604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0 (b) -154 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14*o - 40. Let q be m(3). Suppose 0 = -k + u, 0 = -0*u + q*u - 4. Solve -20 = -4*y, k*f - 16 = -2*y - 2*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/8 + 3581472*a - 25653883373568.\nAnswer: -(a - 14325888)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 29 = 99. Solve -x*c + 12*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/6)\/((126\/(-4))\/9). Which is the smallest value? (a) -0.1 (b) 22 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -3. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8185\/4 + 2053. Find the common denominator of -65\/28 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-2))\/(39\/52)*(-17)\/85.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*s + 1224. What is the hundreds digit of 19618\/s + 2\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2325 times 75\nAnswer: 174375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 3*j - 8. Let g be i(5). Suppose 0 = 3*d - 3*n - 24, -4*d + g = 4*n + n. Solve 0 = -5*s - 5*t - 20, -d = 3*s + 5*t + 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41160211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/8 (b) -1\/2 (c) 3\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g**3 - 16*g**2 + 11*g - 11. Let b(w) = w**3 - 3*w**2 + 2*w - 2. Calculate 11*b(i) - 2*h(i).\nAnswer: -i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26165573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5367579131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 + 1 = 2*n, n = -2*q - 8. Let b = -2 + 6. Solve n = 4*k + b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*w - 32. Calculate the remainder when (28\/20)\/((-33)\/88 + 57\/120) is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-4)*67\/603)\/((-407)\/370).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49 + 61b0b?\nAnswer: 61b57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64638, 64763, 64888, 65013?\nAnswer: 65138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = -4*q + 2. Let c = q + 16. Solve p + 4*h + 2 = 2*p, 0 = -c*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34525163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jqeeeejeeeqejeqejqe. Give prob of sequence jjj.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 3, -80, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 12:35 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 18*n**2 - 22*n + 32. Calculate the remainder when v(-19) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 299\/46 - ((-9)\/3)\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13\/94 - -10207\/282. Let a = o - 37. Which is smaller: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -151 + 151. Solve 0 = -g - s + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -80, -23 in increasing order.\nAnswer: -80, -23, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1437 divided by 19.\nAnswer: -1437\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2039b - -1?\nAnswer: 203a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*t + 218*t + 210 = 83*t for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -40 times -58185\nAnswer: 2327400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2561738 hours in days?\nAnswer: 0.052340575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139450?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -428*c**2 + 19*c + 30. Let j(t) = -215*t**2 + 9*t + 18. Determine 3*i(d) - 5*j(d).\nAnswer: -209*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9480367m?\nAnswer: 94.80367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -45. Calculate the remainder when 74 is divided by (-78)\/4*f\/(-21).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 divided by -32?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*r + 47*r + 119 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(12) - sqrt(36)\/sqrt(3)*-4) - (-5 + sqrt(15)\/(sqrt(45)\/sqrt(36) - sqrt(5))))**2.\nAnswer: 240*sqrt(3) + 532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*p - 16*p + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xjxt when four letters picked without replacement from xeexxepejpejeexxxt.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -729796 divided by 182449\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c + 25 = 5*c, -k + 25 = -5*c. Solve k*i = 3*i - 3*f + 18, 0 = -5*i - f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79079341 is divided by 16468.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 0)**2*-1*5 + 1 + sqrt(117) + 0.\nAnswer: -64 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32857650 by 38.\nAnswer: -864675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2474 and -0.2?\nAnswer: -494.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 12*l**2 + 20*l - 15. What is w(-9)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56765763 is divided by 45.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4583*m - 4585*m = -1 - 3. Solve -30*k = -25*k - m*c - 20, 5*c + 16 = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -3*a**2\/2 + 1. Suppose 176*z = 163*z + 39. Let j(d) = d - 2*d + 4*d - z*d + d. Calculate j(q(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.707 * -10550.\nAnswer: 60208.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p**3 - 11095*p**2 + 2*p - 16. Let i(w) = w**3 + w**2 + 2. Give -8*i(u) - q(u).\nAnswer: -u**3 + 11087*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 12 = 2*y + 8, 8 = -y - 2*o for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-16)))\/x*x**(2\/15)*(x**(-1)*x*x)**34 assuming x is positive.\nAnswer: x**(257\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -802, -1421, -2040, -2659, -3278, -3897?\nAnswer: -4516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 154955072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 - -0.83.\nAnswer: -26.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bgsgvnbbgbgbbbgn. Give prob of picking 1 s and 2 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9883\/1)\/(1 - 2). Let u = 217471\/22 + f. Calculate the common denominator of 1\/1*(-82)\/44 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43097215?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 297*z**2 - 15*z. Calculate g(2).\nAnswer: 1158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 9:46 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -425*x**2 + 867*x**2 - 204*x**2 to y*x**2 + j + f*x and give y.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + o**3 - o**3 + (3*o**4 + 2 - 2)*(-344*o - 6 - 346*o + 689*o).\nAnswer: -2*o**5 - 18*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f + 17*f + 756 = 0. Let o = -110 + f. What is the remainder when o is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 4*g + 3. Calculate z(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 39. Calculate the highest common factor of a and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/5)\/(2\/10). Suppose -2*d = o - 6, 0 = 4*o + 13*d - 12*d - 17. Solve o*i + 18 = -3*b, g + 7 = -5*b - i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 - 2) + 2 - -2. Solve 2*r = -z + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 2:31 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 212\/191 + 44486\/3629. Let x = n + -9161\/627. What is the common denominator of -62\/27 and x?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 189*k - 186*k = -62506, 5*m = -k + 78104. Round m to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 16635, 4 in decreasing order.\nAnswer: 16635, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 6*t + 9. Let y be c(-7). Suppose 5*z + 5*o = 4*o + 73, -2*o + 56 = 4*z. Let h = z + y. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 15*q**2 - 237*q - 312. Calculate g(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 14. Let w = -13 - -6. Calculate j(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u - 277*u**2 + 308*u**2 - 3*u in the form c*u + r + l*u**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65371337.\nAnswer: 173, 179, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5*d**(-7)*((d**(1\/3)\/d)\/d)**27)**(-3\/2))**40 assuming d is positive.\nAnswer: d**2820","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2, 295, -51?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256, -517, -778, -1039?\nAnswer: -1300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/3 - 6\/(-9). Is 3 a factor of 5 + m + -2 + 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1)\/(300\/(-600))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*i - 2*i + 4*i to the form n*i + p and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4166558 to the power of 1\/2, to the nearest integer?\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -20.36*-71\nAnswer: 1445.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - (2 - -2))*77\/(-3). What is the derivative of -79*c + 16*c - w + 38 wrt c?\nAnswer: -63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2213961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 598282?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-10)*((-350)\/45)\/14.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 - 213*l**3 - 141832*l**2 + 141830*l**2 in the form m*l + x + z*l**2 + n*l**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 3*r - 16, -9*r + 5*r + 24 = -4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.4 + 2.6. Let h = -13.3 + l. Let y = h - 1.6999971. What is y rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2423, 10099, 22905, 40847, 63931, 92163, 125549?\n\"Answer: g**3 + 2559*g**2 - 8*g - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -17*b**2. Suppose 2*q = 3*y + 1, -6*q - 2 = -5*q - 4*y. Let o(n) = 2*n**2 + 9*n**2 - 7*n**q - 6*n**2. Give o(h(x)).\nAnswer: -578*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h + 16. Let q be (-2)\/((-4)\/(-13))*-2. Let n be z(q). Let y be (n\/(-6))\/((-3)\/(-6)). Sort -5, y, 0 in decreasing order.\nAnswer: 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/3 + 4719712*r**3\/3 + 5568896742110*r**2\/3 - 55689396915712*r\/3 + 16706831817963 = 0.\nAnswer: -2359861, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*m + 802, 5*v + 0*m - 2*m - 784 = 0. Let w = 338 - v. Suppose -o = -t + 44, t = 6*t + 5*o - w. Calculate the common denominator of -9\/4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 11669?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5874 and 195978.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 221321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 60 + 90. Let b = 35 - 33. Solve j = -2*m - 5*f, -b*m - f - 1 = 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -156993905, -313987814, -470981723?\n\"Answer: -156993909*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-12)*(-99)\/(-4125)*-15 - (-494)\/(-1580)\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3\/38 (b) 1\/3566 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.54 times 1.7?\nAnswer: 106.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/22 + (-210)\/(-55). Solve 0 = t + f*t - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/21 + (-329)\/(-49). Solve w*t + 15 = -20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*o + 29*o + 33*o - 82*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 m when two letters picked without replacement from nmpnmnmnnmlnn?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*1*sqrt(130) + sqrt(130))\/sqrt(10).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-10)*(-28)\/((-616)\/2805). What is the highest common factor of d and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((0 - (0 + 1))\/(-1))\/(-1). Let m be 48 + o + -8 - 0. Solve 9*p = 12 - m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b - 3354 = -341*b - 9812 - 11292 for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-14))\/(102\/(-136)).\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -9.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 5*h - 9 = -2*j, 3 = 5*h + 4*j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 120077*m + 240219. Give h(-2).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 6 (b) -68 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010010 + -100?\nAnswer: 10010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179539279?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.9384329 rounded to 3 dps?\nAnswer: -36.938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5632*q - 5634*q = 5*j + 18, -18 = 3*q + 3*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188511144 and 88?\nAnswer: 2073622584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/99 and 35\/12174.\nAnswer: 401742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1420 - -2411. Suppose 4*n - 1349 = d. Is 7 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -22 - -9 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*z - 9 = 14, 3*z - 18 = -p. Suppose 54 = p*c + 4*r, -c = -5*r + r - 2. Let f = -8 + c. What is the highest common divisor of 9 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24204, 41, 1 in descending order.\nAnswer: 41, 1, -24204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**3 - 15*x**2 - 6*x - 14. List the prime factors of y(7).\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66253.8 rounded to the nearest one thousand?\nAnswer: -66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -p**2\/7 + 370887*p\/7 - 1112652\/7 = 0.\nAnswer: 3, 370884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w - 7. Let t(m) = -m - 5. Let c(a) = 5*g(a) - 7*t(a). Suppose 2 = -k + 8. Let i(j) = -3*j**2 - j**2 + k*j**2. Calculate i(c(f)).\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 279 - 277. What is the nearest to -6 in 4, -0.4, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {w: 1, q: 3, e: 2, b: 2, k: 1, t: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 17501055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 9*n**3 - 4*n**2 + n + 12. Is b(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -g - 13, 3*g + 7 = -g + v. Let r be -133*1 + g + 7. Let w = r + 250. Is 11 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -5. Suppose 3 = -5*n - 2. What is the nearest to 0.1 in n, u, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9606, -4, 0, 2, -3, 3, -6 in descending order.\nAnswer: 3, 2, 0, -3, -4, -6, -9606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from kuzssjz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12167107 divided by 88811\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 12. Let i be t(15). Solve 2*y - i = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b = 2*r - 88, -5*r + 2*b + 208 = 0. Suppose 93 - 573 = -6*u. What is the greatest common divisor of r and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*m - 72 = 227*m. Solve 3*u - 24 = -m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**16*v)**(-3))**(1\/34) assuming v is positive.\nAnswer: v**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 3:16 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-24)*(-2)\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l - 3. Let t = l - 4. Let m be -4*3\/(-6) - t. What is the greatest common factor of 27 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x**2 + 192*x - 3031. Determine y(-32).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from ssssgg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 823*u = -824*u - 1, -65*d - 220 = -5*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7459440 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4943 >= -1532\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8575 is divided by 5784.\nAnswer: 2791","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*f - f. Let l = -1 + f. Solve 0 = -k - l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20048553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 68.99988 minutes?\nAnswer: 1.149998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**4\/24 + v**3\/6 + 9*v**2. Let a(u) = -u. Calculate 3*a(s) - q(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 439 + -320. Calculate the remainder when l is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1bc24a3 - -5?\nAnswer: 1bc24a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9 + (-9954)\/540 + 4\/40.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 122*k**3 - k**2 + 7*k. Let j be (-67 + 69)*(-6)\/2. Let v(b) = b**3 - b. Let u(o) = j*v(o) - l(o). What is the third derivative of u(i) wrt i?\nAnswer: -768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*p**3 + 36*p + 109*p**2 - 55*p**2 + 43*p**3 - 54*p**2.\nAnswer: 75*p**3 + 36*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11949\/4 + 2955. Is -33 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (132\/396)\/((-1)\/3). Put 4, 1, -29\/9, i, 0.2 in decreasing order.\nAnswer: 4, 1, 0.2, i, -29\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*p - 398 = 4*n + 89*p, p - 37 = -3*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m + 25. Let p(c) = -7*c - 26. Determine 4*p(r) + 5*w(r).\nAnswer: 2*r + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 4:45 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514, 115, -284, -683?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 10, 4 in descending order.\nAnswer: 10, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2806.\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3d5a + c?\nAnswer: -3d4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68162067?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77529139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 9*g - 4*g - 37, 3*d = -3*g + 27. Suppose 0 = 5*x + 4 + 1, -v + d = 3*x. List the prime factors of v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*q + 10 = 0, 4*a + 5 = -0*q + 5*q. Suppose 0 = 5*z + l + a, z + l = -2*z - 3. Is 20 - (0 - 1)*z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/9 and -49\/103.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515059?\nAnswer: 7, 13, 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibrr when four letters picked without replacement from {r: 4, i: 2, b: 1, d: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -2)*(-480)\/(-9). What is the common denominator of 6\/30 - (-57)\/z and -4*(-3)\/(-18) + (-455)\/30?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 5*i**2 + 5*i - 5. Let m(j) = -3*j**2 - 3*j + 3. Suppose -8*d + 10*d = -10. Calculate d*m(y) - 3*h(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-12)*150\/(-15)*-2)\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and -0.49?\nAnswer: 11.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 11:15 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -627, -623, -607, -573, -515?\n\"Answer: u**3 - 3*u - 625","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -437 + 435. Let f = 18 + -18. Which is the third smallest value? (a) f (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128865493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**2 + 5 + 6*o**3 - 3*o**3 - 4. Let d(m) = -2*m**3 + 2*m**2 - 1. Calculate -5*d(w) - 3*z(w).\nAnswer: w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y + 66*y**2 - 13*y**2 - 8 - 6*y**2 - 18*y**2 - 26*y**2. What is j(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*n**2 - 742*n + 719*n - 21*n**4 + 4*n**2 wrt n?\nAnswer: -252*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -70.9, -0.05, 42, 2, -47?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*j**3*w**2 - 276622*j**2*w**3 + 58867*w**3 + 5 wrt j.\nAnswer: -15*j**2*w**2 - 553244*j*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 0*q + 6*q**2 - 78 + 5\/4*q**4 - 2*q**3. Let p(t) = 4*t**3 - 5*t**2 + 11*t. Calculate 6*p(i) - 5*u(i).\nAnswer: -i**3 + 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(1539) + 1)**2 + -4 - (0 + 2*sqrt(1539)))*4 + 1.\nAnswer: 6140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5494.33 - -3?\nAnswer: -5491.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 2, u: 1, f: 1, x: 3, c: 7}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + s. Let x(l) = l**2 + 12*l + 8. Let h be x(-11). What is the units digit of u(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -239*h - 14. Let t(a) = 716*a + 38. What is 11*k(j) + 4*t(j)?\nAnswer: 235*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4720.72 rounded to the nearest 100?\nAnswer: -4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 146 * -0.25.\nAnswer: -36.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -697 or -1840?\nAnswer: -1840","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 23\/4*l**2 + 0 + 1\/4*l**4 + 25\/2*l - 13\/2*l**3 = 0.\nAnswer: -1, 0, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -8*y**2 + 6*y. Let f(w) = -959 - 7*w + 959. Give f(u(q)).\nAnswer: 56*q**2 - 42*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 - 254 = 5*o. Let w = o + 113. Solve 4*k - w - 15 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1296436377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -461*l**2 - 2*l - 25. Let m be h(-5). Let t be 2*(-6)\/8 + m\/(-8). Suppose 4*i = -5*y + 1429, 3*i - 2*i = -5*y + t. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h = -10*h + 8*h - 98 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/16)\/(39 + 63603\/(-1628))\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 85*m - 814.\nAnswer: -(m + 11)*(m + 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v. Let s(w) be the second derivative of 2\/3*w**3 + 0 + 0*w**2 + 103*w. Calculate d(s(a)).\nAnswer: 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-168*o - 158*o - 152*o)*(-4 + 7 - 2 + o**2) to f + g*o**3 + v*o + j*o**2 and give v.\nAnswer: -478","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7403535401?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 1 = -2*x + 11, 2*x + 2*s - 6 = 0. Let l = x - -2. Calculate the smallest common multiple of (-2 - -4)\/(l\/9) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10 - -11) + -1 + 24. Let n be ((-16)\/(-14))\/(o\/84). Suppose -16 = -2*f - 2*f. Is n > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 12*p**2 - 31*p - 27. What is u(-14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -2. Let v be (-18)\/(-14) + (-15 - (-14 + 0)). Which is the nearest to -1? (a) v (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 2)\/(17\/33881). Let n = d - -3142. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 41469 = -j - 2*j, -5*j = 3*m + 69114. Is j\/(-9) - ((-2)\/(-3) + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 10:37 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2836 = 9*b - 7937. What is the greatest common factor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 731, -5, -3, 2, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = m - p, 0*p = -2*p + 2. What are the prime factors of m?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 383.362 rounded to zero dps?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**2 + 16*a**2 + 19*a**2 - 56*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + (-6 - 2) + 1 + 6)*-3. Solve 0 = -5*n - s*j + 275 - 280, 4*n = -j + 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = a - 2*n, -a = a - 3*n - 205. Calculate the remainder when a is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 12*p**2 - 13*p - 28. Calculate n(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/5*(1 + 12\/8). Does 31 divide 93\/(k - 4\/(3 - -5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-4))\/(722385\/42808)?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15973824 and 83504.\nAnswer: 4912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 11*y**2 - 9*y + 97. Let r be t(-9). Solve -7*q + r*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 6. Let f be h(6). Let o = -11 - f. Find the second derivative of -3*x + o*x**2 - 7*x**2 - x**3 wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 59, 64, 69, 74?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 14) in base 3?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 8:11 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17784 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*h - 185*h + 241*h + 333908*h**3 - 333916*h**3.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0, 3.81, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-7 - -6) - (-2 - -24). Let q be 10 - ((-6)\/33 + k\/(-22)). Calculate the greatest common divisor of 24 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4378*c + 6415*c + 7136*c + 796*c to the form v + h*c and give h.\nAnswer: 18725","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5089.594 from -19599.\nAnswer: -24688.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-1)*((-11564)\/98)\/472?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/80 - 166\/(-5). Suppose n*g - 45 = 24*g. Solve 2*f - 4*f = 3*t - 6, -5*f + g*t = 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c - 34 + 27. Is c at most as big as -14\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2218334, -2218345, -2218370, -2218415, -2218486, -2218589?\n\"Answer: -q**3 - q**2 - q - 2218331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13155053 to 4 decimal places.\nAnswer: -0.1316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**(-2\/49)*l)\/l**(-18))\/(l**(-3\/4))**(-13) assuming l is positive.\nAnswer: l**(2197\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/d**(-33))*d**21 assuming d is positive.\nAnswer: d**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 4*h**3 - 9. Let c(q) = -2*q**2. Determine x(c(n)).\nAnswer: 48*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5266 - 3753?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + 7*c**2 + c - 4. Calculate w(-5).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14388\/136325 + -2\/7175. What is the fourth smallest value in -40\/7, -5, 4, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t\/(t*t*t*t**(2\/11)*t))\/t)\/t)*t)\/t**(-1\/10))**21\/((t**(-4)*t**(1\/5)\/t)\/((t*t**(-3\/5))\/(t\/t**(-9)))) assuming t is positive.\nAnswer: t**(16293\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -7*n**2 + 4*n + 5. Let b(t) = 11*t**2 - 26*t - 7. Let g(s) = 5*s**2 - 15*s - 3. Let d(j) = 3*b(j) - 5*g(j). What is -5*d(k) - 6*l(k)?\nAnswer: 2*k**2 - 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -65290*o - 195933. What is k(-3)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 64*a**2 + 246*a - 285. Determine k(67).\nAnswer: 2730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2 + 9*g - 22 = 0. Calculate g.\nAnswer: -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1512) - (sqrt(1050) + -2*sqrt(1050) + sqrt(1050) - sqrt(1050)))\/(sqrt(294)*-4 - sqrt(216)*1).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -34 times 527\nAnswer: -17918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 91 + -91.69. Let s = -0.19 - u. Which is the smallest value? (a) -1 (b) s (c) -1\/3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 9 = -605. Let w = 6084 - 6019. Let f = x - w. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 1398 - 5494. Suppose 4*c + 4*c = -b. Let r = c - -208. What is the greatest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*r**3 - 5 + 101*r**3 - 238*r**3 + 168*r**3.\nAnswer: 158*r**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(325) - (sqrt(325) + -1))**2 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2415391162?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1970, 2923, 3936, 5039, 6262?\n\"Answer: 5*v**3 + 918*v + 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**6\/b)**41 assuming b is positive.\nAnswer: b**205","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 1, k: 1, g: 1, d: 1, j: 2}. What is prob of sequence gj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 1081.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 n when two letters picked without replacement from {s: 1, n: 2, d: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q**3 - 4*q**2 + q + 7. Let v be o(-2). What is the highest common divisor of v and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 536884 (base 11) in base 16?\nAnswer: d1870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ny when two letters picked without replacement from {n: 1, m: 3, z: 1, y: 1, l: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 9*o + 8. Let v be f(8). Suppose 312*u - 306*u = v. Solve 5*j + 4 - 4 = u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 47*p**3 + 2*p**2 - 2*p + 1. Let j be w(1). Let b = j + 297. Suppose -g + b = 3*r, -3*g = -5*r - 0*r + 575. Is 23 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 - 5. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y + 3*y**2 - 7*y + y**2. Let x(g) = 3*g**2. Give x(a(o)).\nAnswer: 48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*w - 276*w**2 - 2 + 2 + 274*w**2 as g*w + b*w**2 + i and give g.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000170089574 rounded to 5 decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*l - 16. Which is smaller: 2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**4\/6 - 2*o. Let s(q) = 2*q. What is s(a(d))?\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 <= -7234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3089937, 146, -5 in increasing order.\nAnswer: -5, 146, 3089937","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 775*f*t**4 + f*t**3 + f*t**2 + 119*f - 2*t**4 + 3*t**3 - 16*t**2 - t - 2 wrt t?\nAnswer: 18600*f*t + 6*f - 48*t + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 5*r - 4. Let u be p(4). Let z = u + 11. Factor 0*x + 0*x**z + 0 - 1\/2*x**2 + 1\/2*x**4.\nAnswer: x**2*(x - 1)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6335 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4733114 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) -0.1 (b) 4\/5 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/3 + 669848*t - 4019092\/3.\nAnswer: (t - 2)*(t + 2009546)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39 - 2688\/(-56)) + ((-38)\/8 - 6\/24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 10*a**2 - 9*a + 15. Let i be b(-11). Let o be i + 6 - (6 + -1). Let z be 3\/o + 5\/(-2) + 3. Is 1\/69 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - g**2 + g - 1. Let r(j) = -j**2 - 12*j - 10. Let b be r(-11). Let n be i(b). What are the prime factors of (4 + 555\/(-10))*n?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8 = g - 4*g, -2 = c - g. Let m(s) = -s - s**3 - 3 + 1 + 4*s - c. What are the prime factors of m(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, g: 1, h: 2, z: 1}. What is prob of picking 2 d?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) -0.3 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 931 - -5?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78.059 - 34182.\nAnswer: -34103.941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7d2 (base 14) to base 13\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7798336 and 1076192.\nAnswer: 5408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000160042 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 77922307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of c**6\/360 - c**5\/120 - c**4\/12 - 4*c**3\/3 + 8. Let w(t) be the third derivative of b(t). Calculate w(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -244 - -269. Calculate the lowest common multiple of l and 80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -42, -67, -108, -171, -262, -387, -552?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 14764 = -19*d. Is 146 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*t - 79*t = 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 509*h**8\/28 - 133*h**4\/3 + 2*h - 89. Find the third derivative of p(b) wrt b.\nAnswer: 122160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/8)\/((-6)\/(42\/1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ob when two letters picked without replacement from {o: 3, k: 3, b: 5, u: 3, c: 4}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3 + sqrt(1700) + (sqrt(1700)*-1 + 4 - sqrt(1700)))**2*-5.\nAnswer: -8545 + 300*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 7599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3191444 * -0.06\nAnswer: 191486.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) 4 (b) 15 (c) -2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(108) + -2.\nAnswer: -2 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 = -185*n + 250*n + 816 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - -1986101205.\nAnswer: 1986101205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 2023 + 7903 = 0. Calculate the greatest common factor of x and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*p + 420 - 100 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 4681 in decreasing order.\nAnswer: 4681, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -73145*m + 73142*m - 21 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 7*j - 3*j + 13, 4*u + 24 = -3*j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (474\/(-11376))\/(3\/2*2\/(-8)). What is the nearest to l in 5\/3, -13, 6?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104.2 * 0.4\nAnswer: 41.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 65, -1\/3?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -5. Let w(d) = 4*d + 49*d**3 - 6*d**2 + 5*d + 299*d**3 - d. Let n be w(y). Round n to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -103*h**2 - 3*h - 216. Let s(f) = -130*f**2 - 3*f - 215. Determine 4*s(o) - 5*u(o).\nAnswer: -5*o**2 + 3*o + 220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 6 - 2 + 3 + 5 + p**3 - 6*p**2. Let j be x(5). Suppose j*z = 5*t - 251, -3*z + 79 = 5*t - 157. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02166 minus -1614830.826?\nAnswer: 1614830.84766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52.018 - -1589.354. Let z = 1543 - k. Let c = z - 5.1. Round c to two decimal places.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26438, -105732, -237884, -422894, -660762, -951488?\n\"Answer: -26429*j**2 - 7*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**2*c**3 + 5*b**2*c**2 - 60*b**2*c - 12731*b*c**3 + c wrt b?\nAnswer: -8*c**3 + 10*c**2 - 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q. Suppose 145*m = 147*m - 286. Let j(l) = -48 - 48 - 9*l**2 - 47 + m. Give r(j(n)).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 468\/24)*(-22)\/429?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 - 4*l**2 + 3*l + 7. Let o(i) = 3*i**2 - 5 - 52*i**3 + 49*i**3 + 0 - 2*i. Let q(b) = 5*g(b) + 7*o(b). Calculate q(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 314681\/16 - 19660. Let m = n - 2231\/240. Find the common denominator of 1\/75 and m.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 9*o**2 + 3. Let c be m(9). What is the greatest common divisor of c and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 36*s + 179. Let j be m(-5). Let o be j*(4 - 1) + 25. Calculate the greatest common factor of 6 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - t**2 - 10. What is the remainder when o(7) is divided by (-1)\/(((-12)\/(-15))\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -38*t**2 + 18*t - 15. Give x(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0302 - 0.3098. Let p = 100.34 - 102. Let c = w + p. Sort -0.4, 0.5, c in descending order.\nAnswer: 0.5, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 585831531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3465 = z, z + 21*t - 18*t = 3465. Is 21 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*t - 14*t - t + 7*t as z*t + x and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51315 take away 0.085605?\nAnswer: -0.598755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4519, -4723, -4927, -5131, -5335?\nAnswer: -5539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 8 - 33. Let b(m) = 2*m**3 - 5*m**2 - 2*m - 4. Is 15 a factor of b(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**4 + j**4 + j**4 + 1 - 2*j**4 - 1 + (j**2 - j**2 + 2*j**2)*(0*j**2 + 2*j**2 - 4*j**2) + 4*j**4 + 0*j**4 - 2*j**4 - j - 2*j**4 + j.\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50747, -50751, -50749, -50735, -50703?\nAnswer: -50647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.127*1066\nAnswer: -135.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 1:23 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = 3*f - t - 3*t, 2*t - 100 = -5*f. What is the remainder when 65 is divided by f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -54*w - 8. Let h(f) = 352*f + 52. Determine -5*h(y) - 32*m(y).\nAnswer: -32*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3*t = -45. Let k = t + 20. Which is the smallest value? (a) -2 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19354*j**4 + j + 18762 wrt j.\nAnswer: 232248*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3484\/312 + 11\/(-1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:52 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 6. Let d be v(-5). Is 1\/19 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14559067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h - 4*r - 8, 4*h + 2*r - 2 = 0. Suppose -h*t = -6*t. Let k(y) be the first derivative of -y**3\/3 + 11*y + 446. Calculate k(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -210053\/215 - -977. Let b = 4077\/860 + d. Find the common denominator of 242\/16*2\/(-3) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**5\/2 + 325*p**4\/2 + 420*p**3 - 2780*p**2 + 680*p + 3720 = 0.\nAnswer: -62, -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -836 - -868. What is the remainder when y is divided by 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (1 - -23)) + (-150 - -155) + 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmpttmmgmggttk. Give prob of picking 1 k and 3 g.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 divided by -7.\nAnswer: 122\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1411 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-68)\/(-85)*(-10)\/(-4). Solve d*r = 5*p - 14 + 28, -10 = 5*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/7 - 45640860*m\/7 - 520772025384900\/7.\nAnswer: -(m + 22820430)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2787 - -2802. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 = i + 4*j, -j = -3*i + 10 + 108. Suppose -2*g + 525 = 3*g. Suppose 5*o = -0*o + g. What is the remainder when i is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 296 = -2*q, 10*n - 7*n = 5*q - 761. Suppose q*s - 29235 = 151*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -11*g + 1. Let t be j(-3). Suppose -4 = 2*v - t. Calculate the greatest common factor of 10 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136705 and 781377.\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174071250 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -6, 4, 20?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -353, -352, -349, -344, -337?\n\"Answer: a**2 - 2*a - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 - 12*t - t**4 + 36*t**3 + 27*t + 4*t wrt t?\nAnswer: 12*t**2 + 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -13. Let j = 9 + -9.08. Let v = 0.22 - j. What is the closest to -2\/7 in -3, i, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*k = -15. Suppose -2*a - 290 = 3*a. Let n = a - -62. Solve -3 = -3*t, 2*p + k*p + 4 = n*t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72902 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*((-9)\/(-6) + 0). Suppose -g + z*g + 5*w - 193985 = 0, -2*g + w + 194003 = 0. Round g to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j - j**3 + j - 2*j + (-108*j**2 + 159 - 159)*(8 - 10*j - 8).\nAnswer: 1079*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42072, -84204, -126336, -168468?\nAnswer: -210600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/3 and -13136\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*b + 12 = 0, -2*q - 4*b = -0*q + 4. Suppose 3*j = 9, d + 4 + 5 = 3*j. Solve d = -7*u + 3*u - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/(-4))\/(7*8\/(-504)))\/((-28)\/336).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 221?\nAnswer: -10\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + k - 24. Calculate the greatest common factor of k and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/7)\/v*v*v**(-1\/6)*(v**0)**(-6\/5))\/(v**(-8)\/(v**3*v))**34 assuming v is positive.\nAnswer: v**(17147\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -799 - -855. Let t(n) = 8*n - 5. Let f(s) = -88*s + 56. Give b*t(i) + 5*f(i).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvvvvzvzz. Give prob of picking 3 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbk when three letters picked without replacement from {b: 2, a: 1, d: 1, k: 2, v: 5, t: 2}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 235756 * -15.\nAnswer: -3536340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4 = -w, 2*w = y - 10. Suppose y*s + 5 = -3. Which is the nearest to 1? (a) -1 (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1842012933 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-601)\/(-116) - 6) + 98\/1421?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 13 - (-63)\/(-77)*66\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 1866 = 97*k - 99*k, 20 = 5*k. Does 49 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3523*w - 3454*w - 894 = -7126*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -66*u**6 - 2*u**3\/3 + 169*u**2 - 71. What is the third derivative of k(s) wrt s?\nAnswer: -23760*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 11, -1, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let j(z) = 85*z + 13. Give j(l(r)).\nAnswer: 85*r + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 7*w**5\/6 - 38545*w**4\/6 + 159443*w**3\/2 - 1928879*w**2\/6 + 1332370*w\/3 - 137350 = 0.\nAnswer: 3\/7, 2, 5, 5494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 3. Let s = i + -11. Let q = -0.51422 - -0.41422. Which is the second smallest value? (a) s (b) 1 (c) q (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -843, -3414, -7691, -13668, -21339?\n\"Answer: t**3 - 859*t**2 - t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 22\/15 of a minute?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 5*x**4 + 90*x**3 + 280*x**2 = 0?\nAnswer: -14, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -102\/7 (b) 4 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*d + 3*i - 2, d = -5*i - 9. Let p = -54 + 76. Let y be (-21)\/(-14)*p\/3. Calculate the greatest common factor of y and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/99 and 5\/30*(-8)\/108*213.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 7, i: 1, j: 10}. What is prob of sequence xi?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50136800 divided by 3133550.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/162 and 47\/72.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 85 + -82. Suppose 23 + 16 = q + 4*y, -3*q - x*y + 117 = 0. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/7*98\/28)\/(40\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 927*h - 930*h - 29 = 4*i, 34 = -3*h - 5*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 plus 0.006658664?\nAnswer: -43.993341336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -4, 25 in ascending order.\nAnswer: -4, 1, 3, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7666 - -7673. Let b(u) be the second derivative of 10*u**2 - 1\/4*u**5 + 0 - q*u - 5\/4*u**4 + 0*u**3. Factor b(l).\nAnswer: -5*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**3 - 9*b**2 - 7*b - 4. Let s(u) = u**3 + u + 1. Determine -r(h) - 5*s(h).\nAnswer: h**3 + 9*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5*(-6)\/5)\/((-10)\/(-5)). Let s(a) be the first derivative of -a**4\/4 - 2*a**3\/3 + a**2\/2 + 4*a + 3. Calculate s(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 39 + 13 = -4*y, 3*y = -5*q - 13. Let v = -336 + 324. Which is bigger: y or v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -184.4 times 2.31\nAnswer: -425.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -2 - (0 + -6). Let z(o) = -o**3 + 6*o**2 + 2*o + 6. Let f be z(l). Suppose -4*t = -f + 13. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -947*c - 5664. Calculate b(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 17*n - 48. Let y be w(3). Solve -y*i - 13 + 7 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c + 5*c + 1 + 6*c. What is the remainder when b(2) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 52. Suppose o + c*o = -o. Solve -2*y + 4*z = -16, -2*z + 16 = 5*y - o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 19*z - 51. Let l be n(16). Is 1\/(l - -6) + (-1660)\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -9*n**5\/7 + 1812*n**4\/7 - 88749*n**3\/7 - 247854*n**2\/7 - 94860*n\/7 + 62424\/7 = 0.\nAnswer: -2, -1, 1\/3, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3560, -11014, -22372, -37634?\n\"Answer: -1952*z**2 - 1598*z - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**19*z**(-2\/5))**(10\/7) assuming z is positive.\nAnswer: z**(186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.64613 nanometers in millimeters?\nAnswer: 0.00006664613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 8. Let b be s(-8). Suppose b = -c - c + 54. Let i be c\/21 + 2\/(-7). Sort i, -1, 2 in ascending order.\nAnswer: -1, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-215)\/(-172)*(-4)\/(-10)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2631336 - -6103?\nAnswer: 2640442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p - 36. Let h be g(-6). Is 2\/47 at most as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w - 4*w + 12*w)*(-17*w + 7*w - 80*w) to the form h + x*w**2 + q*w and give x.\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2. Let f(g) be the first derivative of 3*g - 222 - 9\/2*g**2. Determine j(f(i)).\nAnswer: -162*i**2 + 108*i - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -34, -1 in ascending order.\nAnswer: -34, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*i - 24*i - 6 - 29*i.\nAnswer: -8*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ootooioowkionwnoon. What is prob of picking 1 n and 2 i?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3da3c + -80?\nAnswer: 3d9bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1, -0.37, -0.2, 24?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z + 9. Let b(v) = -3*v + 28. Suppose -1 = 3*l + 11. What is the remainder when b(l) is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/12 - y**3\/6 - 2*y + 6. Let m(g) = 2*g**2 - 7*g - 4. Let v(j) = 15*l(j) - 5*m(j). Factor v(s).\nAnswer: 5*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 7*h - 23. Put h, -3, -1 in decreasing order.\nAnswer: -1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17120?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.273 and -275262.\nAnswer: -75146.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -40.6, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16 = -5*x, -13*s + 14*s - 2*x = 4. What is the nearest to 1 in 0, -14, -0.1, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-21)*1 - (-440)\/140. Suppose -2*j - 10 = 0, 25 = 8*b - 3*b + n*j. Put -4, 1\/4, b, -2\/3 in ascending order.\nAnswer: -4, -2\/3, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 1.605.\nAnswer: 1.305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2215 divided by 682.\nAnswer: -2215\/682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -21*h**3 + 11*h**2. Let r(z) = -4*z**3 + 2*z**2. Let l = 24 - 25. Let f be 74\/2 - l - -1. Suppose -f - 16 = -5*c. Determine c*r(s) - 2*i(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3*l**2 - 39*k**3 - k**2*l**2 + 4*k*l**2 - 13 wrt k.\nAnswer: -12*l**2 - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 506508, 1, -174 in descending order.\nAnswer: 506508, 1, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 396188.\nAnswer: 2, 13, 19, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g**3 + 2*g**2 - g - 1. Give v(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22597143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42576889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwoowbodd. Give prob of sequence bod.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**29)\/q*q)\/q*q\/(q\/(q*q*q**(-1\/40)*q))*q assuming q is positive.\nAnswer: q**(-1001\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 2*g = -t - 20*t - 81, -10 = -t - 5*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*d**2 + 0*d**2 - d**2)*(4 + 0 - 2) + (3*d - 5*d + d)*(d - 2 + 2 + (0*d - d + 2*d)*(4 + 1 - 3) + d - 5*d + 2*d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*v. Let q be 3\/((1848\/32)\/(-11) - -6). Suppose v = q*j - j - 177. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37541 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3\/7 + 4092*s**2\/7 + 4080*s\/7 - 1168.\nAnswer: 4*(s - 1)*(s + 2)*(s + 1022)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3281 + 3197399*w**2 - 3197443*w**2 + 3283.\nAnswer: -44*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, 2\/3, -3, -3.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -143032 + 12355?\nAnswer: -130233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (1 - (-4)\/(-18)). Let u = 136 - 135.8. Which is bigger: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128682477 a multiple of 647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 6. What is the remainder when 38 is divided by (-4)\/(-2) - o\/1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-5))\/(3\/(-10)). Let u = x - 2. Calculate the remainder when 14 is divided by u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8\/(j*j**(-2\/3)))\/(j\/j**(-1\/3)*j**(-5))*(j\/(j**(-1\/2)*j))**(-2\/27)\/(j**(1\/6)\/j**(-2\/7)) assuming j is positive.\nAnswer: j**(4099\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.142607043 rounded to 2 dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66 and 17826.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 4*j - 5. Let w(y) = 3 + 18 + 12*y - 3*y**2 - 6. Let g(t) = -17*h(t) - 6*w(t). What is the lowest common multiple of g(-3) and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235 = 179650*l - 179653*l - 22*f, 15 = l - 2*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148075247?\nAnswer: 29, 197, 25919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1011 (base 2) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 g, and 1 a when three letters picked without replacement from sgisgsdsssasssgqg?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(132) - sqrt(132)*2) - sqrt(132))\/sqrt(12) + (2*sqrt(1331))**2 + sqrt(1331) + ((sqrt(44) - sqrt(11))*6)**2 + 2*(2*sqrt(275)*-2 + -1).\nAnswer: -29*sqrt(11) + 5718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emjkjjuddueeujd. Give prob of picking 1 e and 1 d.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110100101 - -100?\nAnswer: 1110110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -4*w**2. Suppose 3*d = 7*d - d. Let z(y) be the second derivative of d + 0*y**2 - 1\/6*y**3 - 2*y. Determine g(z(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 3*m**2 + 4*m + 4. Let i be r(-4). Suppose 3*g + g = -4. Let s be (-1 - (0 + g))\/(-2). Which is the nearest to s? (a) 1 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 702213 (c) -3\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 565.6784 tonnes?\nAnswer: 565678.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15334?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(11))**2*5 - sqrt(11)) + sqrt(99)*-5.\nAnswer: -26*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -141a + 22b?\nAnswer: -11ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5 (b) -3985 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15b95 (base 14) to base 15.\nAnswer: -111d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence miit when four letters picked without replacement from iinxmiitmn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from {m: 7, p: 1}.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 28*d**2 + 240*d.\nAnswer: -4*d*(d - 5)*(d + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14158 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 4845?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 76, -84, -308, -596, -948?\nAnswer: -1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 i, and 1 g when three letters picked without replacement from zzzisigisiigiiii.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 1, u: 2}. Give prob of sequence js.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/3 (b) -2\/19 (c) -1\/5 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 1246*l**2. Let z(s) = -15*s. What is z(v(m))?\nAnswer: -18690*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -30 (c) 4 (d) 763\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 402\/1231 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 7:47 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a - 4*s = 17*a - 31, 3*a - 5*s = -13 - 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19 - (-6)\/15*-10. Suppose -i + q = 2*i. Suppose -f + 6*f - 5*o - 20 = 0, 20 = f - i*o. Solve f = b + 1, 4*b + 3 = 4*s + 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-4) - (-68835)\/3177?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20644 and 820599.\nAnswer: 3282396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*r + 1 + 12 = 0, -5*r = 5*y - 5. Solve -y*z - 16 = -2*b, 2*b = 2*z + 4*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1. Let o(c) = -3*c - 6. Let f(u) = -o(u) - 5*s(u). Let d be (-2)\/6 + (-7)\/(-3). Suppose -d = k + k. Calculate f(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334491841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -j - 3*g, 5*j - 5*g = -10. Which is the nearest to j? (a) -2\/11 (b) 0.4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -979595 < -979594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 762 - 758. Let m(x) be the second derivative of 0*x**3 + 2*x + 8\/15*x**6 + 0 + 4\/3*x**b + 0*x**2 + 0*x**5. What is the third derivative of m(v) wrt v?\nAnswer: 384*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 75, 90, 115, 150, 195?\n\"Answer: 5*u**2 + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-4) + (-1260)\/(-80). Let i be s\/(-10)*((-4)\/2 + 0). Solve 3*u + o = -9 - 0, -3*u + 3 = -i*o for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -131*v**2 - 616*v - 734. Determine y(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i - 54*i + 3 = 0, -2*b = 3*i + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-2\/7)))**(-3\/10)*(z**(-2))**(-23))**(-34\/5) assuming z is positive.\nAnswer: z**(-54842\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 163145063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57660 = 291*u - 311*u. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8)\/(-20))\/((-3)\/(-15)) - -94 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -179461184 divided by 2036\nAnswer: -88144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 12. Suppose 5*z + 2*j = 150, z + 76 = h*z + 4*j. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-9) - 6\/(-2). Let p(n) = -2*n - n - 3*n - 6 - 7*n - n**t. What are the prime factors of p(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 9\/14350 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 44 and 8983502?\nAnswer: 17967004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -220c60 + -4?\nAnswer: -220c64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 356*s**3 + 6128*s**2 + 29696*s + 27648 = 0 for s.\nAnswer: -8, -108\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 2157890*p - 2157888.\nAnswer: -2*(p + 1)*(p + 1078944)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 106063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 426 = 4*j, 2*j - l = 7*j - 523. Is j a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 564141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3001 + -3004. What is the nearest to 4 in 0.2, 1\/6, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -391?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3\/j)\/((((j\/(j*j**(-16)))\/j)\/j)\/j))**(4\/11) assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0.4, 2\/7, -5, 0 in increasing order.\nAnswer: -19, -5, 0, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6\/5)*(s*s*s*s**(-5))\/s)\/(s*s*s**(-9)*s*s*s*s*s**(8\/5)) assuming s is positive.\nAnswer: s**(-14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 3*y**5\/10 - y**4\/12 - 5*y**3\/6 - 5*y**2\/2 + 6*y - 2. Let i(m) = m**3 - m**2 - m - 1. Determine 5*i(q) - r(q).\nAnswer: -q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 1. Suppose -27*j + 23*j + 5*v = 2, 5*j + 3*v - 16 = 0. Let s(z) be the first derivative of z + 1\/2*z**j + 5. Determine s(r) - u(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1163 - -1158. What is the nearest to o in -7\/2, 3, -3?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 + 2. Let x be 8\/20 - 288\/(-80) - 14\/3. Which is the nearest to m? (a) 4\/9 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -946, -30, -7, 5, 4, 0 in descending order.\nAnswer: 5, 4, 0, -7, -30, -946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/12)\/(10\/(280\/(-21))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 15*z + 4. Calculate i(5).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*p - 28*p - 13*p**3 + (-2*p**2 + p**2 + 2*p**2)*(-p + 4*p - 2*p).\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 9:06 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/16 and 53\/3116.\nAnswer: 12464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 21 + 8 = -4*p, -3*p - 5*c - 19 = 0. Suppose 5*y = 2*q + q - 21, y = -q - 1. Suppose 3*a = q + 19. Solve -3*r - 3*l - a = -25, p*r - 3*l = -3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzwa when four letters picked without replacement from {w: 4, a: 4, z: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**2 + 1. Let d be j(-1). Let i be 1\/((-2)\/(-8)) - 1. Suppose -3*n = 2*g - 3*g + d, 0 = -2*g + i*n + 13. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4447, 8760, 13061, 17344, 21603, 25832, 30025, 34176?\n\"Answer: -z**3 + 4320*z + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3359, 3365, 3373, 3383?\n\"Answer: p**2 + 3*p + 3355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + 0.2. Let x = -6.94 + -0.06. Let w = -6.8 - x. Is i >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 3*v + v + 40 = 0, -2*v = 5*y + 32 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1042652, -1042626, -1042580, -1042514, -1042428, -1042322?\nAnswer: -1042196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -204\/1507 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/262640 and 121\/140.\nAnswer: 262640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -2*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15110.4 times 1251?\nAnswer: -18903110.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(108)*-3)\/(sqrt(9) - (sqrt(9) - -3*sqrt(144))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.23651\nAnswer: 0.70953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from cfpcpfcpcj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/5, 125.5, 5, 2\/13, -0.1 in ascending order.\nAnswer: -0.1, 2\/13, 2\/5, 2, 5, 125.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppuuppuupni. What is prob of picking 1 p and 1 u?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -21*l**2. Let t(w) be the first derivative of -w**3\/3 + w**2\/2 + w + 61. Let o(s) = -4*s**2 + 5*s + 5. Let i(j) = -6*o(j) + 30*t(j). Give i(g(c)).\nAnswer: -2646*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -179 - -180. Solve 4*z - 21 = -v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 76 in 18, -1, -35\/3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 183667*k + 1 - 6 - 183651*k + 5. Let h(v) = -84*v**2. Calculate l(h(c)).\nAnswer: -1344*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -7*g - 2. Suppose -3*r = -t + 12, -6 = -5*r + 5*t - 36. Let w be j(r). Let n = -13 + w. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x**2 + 4*x - 4*x**2 - 1 + 0*x**2 + 5*x**2. Determine j(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 18 - 3 = 5*h, -3*m = h + 14. Let v = 135 - 135. Put v, -44, m in ascending order.\nAnswer: -44, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 471 and 5054 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 13*x + 5. Let q(h) = h + 1. Let f(l) = -g(l) + 6*q(l). Suppose -3*p + 13 = -47. What is the remainder when p is divided by f(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33660*n - 129*n**2 - 33647*n - 87*n**2.\nAnswer: -216*n**2 + 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -39. What is the units digit of v\/(-9)*8535\/20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2*27*(-85)\/(-918).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 4208.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/((-16)\/(-1536)*112)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-21)\/28) + 0\/(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 468697579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 13602*r**2 - 13592*r**2 + 2*r.\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 8, u: 9, b: 2, y: 1}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 7*a**2 - 7*a - 6. Let w be n(-4). Let z = w + 66. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 142 - 322. Let u = d + 274. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.967 - 0.667. Which is the closest to -0.93? (a) n (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504246830?\nAnswer: 2, 5, 50424683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17939 + 18875. Calculate the highest common divisor of 299 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*d - 12. Let b(a) = -a**3 + 4*a**2 - 3*a + 3. Determine b(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17510*m**2 + 2*m + 10763*m**2 + 9126*m**2.\nAnswer: 37399*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 + 1)\/(2\/(-12)). Is i\/4*(-2 - 0) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 - 111*t**2 + 1535*t + 181. Is v(95) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 - -0.06. Let z = 2.5 - 0.5. What is the nearest to t in 0.5, z, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/13)\/m**(3\/11)*(m**3*m)**(-34) assuming m is positive.\nAnswer: m**(-19509\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1564605 divided by 5\nAnswer: -312921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((4\/(-5))\/(-4)) - 10356\/(-8304)*-4?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2 + 63038*a + 252136 = 0. Calculate a.\nAnswer: -63034, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -2*v**2 + 4*v + 1. Let a be j(7). Let b = a + 34. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (0 + 9 + 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + u. Let p(w) = 9*w**2 - 7*w - 30*w**2 + 4*w**2 + 1 + 9*w**2 + 12*w**2. Give -6*b(l) - p(l).\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 935067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 164a3184 - 5?\nAnswer: 164a317a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (191 + 334 + 34 - 19)*(-c**2 + 3*c**2 + 2*c**2)*(-2*c**3 + 0 + 0).\nAnswer: -4320*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*f**5 + 56*f**3*t + 103*f**2*t - 4*f*t - 4*t wrt f?\nAnswer: -2280*f**2 + 336*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1009510 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a second in microseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/385 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 2*g + 4, 5*f + 4*g - 6 = -5. Put 5, f, 9, -1 in increasing order.\nAnswer: -1, f, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 208 = 4*v, x + v = -0*v + 100. Let g = x + -92. Solve -5*z = -0*d + g*d + 16, -2*z = -d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 4:44 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 2. Let b(d) be the first derivative of 3*d**2\/2 - 5*d - 2. Determine -2*b(t) + 5*n(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.348097t?\nAnswer: 9348.097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -14*j + 107. Let a(t) = 29*t - 237. Determine -6*a(r) - 13*i(r).\nAnswer: 8*r + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 r when three letters picked without replacement from {r: 2, q: 5, f: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 9.85 and -15.\nAnswer: -5.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063406862 rounded to 5 decimal places?\nAnswer: 0.06341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70258830*z + 70258784*z - 140517613*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of q**3 + 0*q**2 + 0 - 1\/40*q**5 + 2*q + 5\/24*q**4. Let d(c) be the second derivative of y(c). Differentiate d(s) wrt s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 9 = -2*y, -3*x + 2*y + 0*y + 11 = 0. Sort x, -5, 5 in ascending order.\nAnswer: -5, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 12*n + 27*n + 22*n - 2*n + 309, 5*n + 25 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 7*o = -32. Let n = -10 + o. Let b be n\/6 - 6\/2. Is -5 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8928)\/5456)\/(2\/(-22))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**3 + 38143*l**2 - 38143*l**2.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.039 and -10.9963?\nAnswer: 0.4288557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 33*d**2 + 8*d - 22*d**2 + 54*d**2)*(0*d + 0*d - d - d + 2*d + 2*d + (-3 - 2 + 7)*(-d - 4*d + 3*d)).\nAnswer: 2*d**3 - 16*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -12 + 8*q**2 + 7 + 2*q**2 - 11*q. Differentiate p(w) with respect to w.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 p when four letters picked without replacement from {u: 3, q: 5, v: 3, y: 3, p: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 + 64. Let h be (4 - 0)\/(2\/i). Let f = h - -16. Calculate the highest common factor of f and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d - 1. Let j(l) = -2*l**2 - 3*l - 9. Suppose 28*p = 4*v + 29*p + 11, 0 = v + p - 1. What is v*y(c) + j(c)?\nAnswer: -2*c**2 + c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 3010*y**2 + 56565377*y\/5 - 453486728\/5.\nAnswer: (y - 8)*(y + 7529)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 51021379259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-22) - (3216\/(-22))\/12. Let j(k) = k - 2. Let p(t) = -10*t + 24. Let v(l) = u*j(l) + p(l). Let a(s) = -15*s. What is a(v(c))?\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39*c + 526 - 32*c - 48*c**4 + 70*c - 24*c**4 with respect to c.\nAnswer: -288*c**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46756 - -5470526\/117. Calculate the common denominator of -41\/111 and p.\nAnswer: 4329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 12. Let k = u - 9. Suppose 2*z - 6 = 2*s, -4*z = -k*z - 3*s - 7. Solve 0 = d + z - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.12, -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 14267384, 28534768, 42802150, 57069530, 71336908, 85604284?\n\"Answer: -s**2 + 14267387*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/451229 and 34\/10109.\nAnswer: 4963519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 184, -3\/5, -1.25, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -20\/9*c + 7\/9*c**2 - 2\/27*c**3 - 39. Factor x(b).\nAnswer: -2*(b - 5)*(b - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**3 - 3012*x - x**3 + 2*x**3 + 5*x**3.\nAnswer: x**3 - 3012*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 5:01 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61082146 divided by -30541073.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 114*q**2 - 6*q - 4. Let p be j(-2). Suppose 22*n + 7*n = p. What is the smallest common multiple of n and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 3588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 25 - 12)*((2*p + 0*p + 2*p)*(p**2 + p**2 - 8*p**2) + 2*p**3 + p**3 + 2*p**3) to the form v + r*p**3 + a*p + x*p**2 and give r.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -520 + 709. Let k = 187 - n. Put k, 24, 4, -1\/4 in descending order.\nAnswer: 24, 4, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109197 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - -23) + 67 + -106?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3633 and 148964418.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/82 and 2\/15.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -423 (base 14) to base 3.\nAnswer: -1010012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t - 4. Let r be t*(0 + 0)\/(-2). Let s(k) be the second derivative of -k**4\/12 + k**3\/6 + k**2\/2 - 2*k. Calculate s(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 4)*(2*z**2 - 5*z**2 + 2*z**2)*(-2 + 0 - 2) in the form b + o*z**2 + h*z and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12665*k**2 + 2*k + 124. Let g(m) = 3*m**2. Calculate s(g(c)).\nAnswer: 113985*c**4 + 6*c**2 + 124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-232)\/32)\/(-29))\/(1\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 25. Suppose -2*c = 2 - 12. Let u be o(c). Solve -5*x + 2*h + 16 = -10, 0 = x - 2*h - u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1)\/q)\/(q**1*q*q))**(-7\/5)*(q**(-2\/7)\/q**5)**(4\/33) assuming q is positive.\nAnswer: q**(1469\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 19*l**3 + 133*l**2 - 10425*l - 72977. Determine s(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1432\/6 + 2\/(-3). Suppose -5*v - u = -12*v. Suppose -5*n - 5*d + 54 + 31 = 0, d = 2*n - v. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d - 11. Suppose -57*h - 306 = -23*h. What is q(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2. Let t(n) be the second derivative of n**6\/360 + n**3\/6 + 2*n. Let f(w) be the second derivative of t(w). Determine f(j(k)).\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2275, 3, -0.1, -7, -101\/6.\nAnswer: -101\/6, -7, -0.1, 2\/2275, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1. Suppose -v - 2*b - 100 = 0, 5*b = -5*v + 166 - 641. Let q(f) = -10*f + 45. What is v*z(x) + 2*q(x)?\nAnswer: -20*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -3c?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -17. Suppose 6*x - 2*x = f. Let r(t) = t**3 - t + 7. Determine r(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-12) + 860\/24. Let c = h + -14. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/32607505 and -9\/55.\nAnswer: 358682555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 u when three letters picked without replacement from cgcccuuuvuvuv.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqfxrzxixfqrxfrqx. What is prob of sequence frfr?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 65 - 27)*(2 - j**2 - 2).\nAnswer: 37*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 4*u + 4*t + 35, 4*u - 3*t - 35 = 0. What is the highest common factor of 55 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -9 - (4 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3028 divided by -1514.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 17*k**2 + 28*k + 31. Let d be p(-16). Let t be 42\/483 + (-2263)\/d. Which is greater: t or 14?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i + 1060 = 27*i. What are the prime factors of i?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4587, 4618, 4649, 4680, 4711, 4742?\nAnswer: 4773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2)*(435 + 24*z - 435)*(2 - 4 + 0) - 2 + 2 - 2*z.\nAnswer: -98*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 10, h: 2, f: 3}. What is prob of picking 2 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.3, -2\/4321, 2\/13, 0.064, 5, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -39874*f**2 - 61*f + 56*f + 1 + 40210*f**2 in the form z*f + t + k*f**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 17. Suppose 19 = 3*x - q. Calculate the remainder when 24 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2480 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/4 - 111*r**4\/2 + 5969*r**3\/4 + 58810*r**2 + 154149*r - 214396 = 0.\nAnswer: -19, -4, 1, 62, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1862 + 5?\nAnswer: -1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 1:35 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -aa656c?\nAnswer: aa6569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -92*j**4 - 5*j**3 - 4778*j**2 - j - 7862171.\nAnswer: -1104*j**2 - 30*j - 9556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*v + 310, 5*v + 263 = 9*v - f. Calculate the remainder when v is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 54748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7826 + 7856. Let r(v) be the first derivative of -1\/8*v**3 - 3\/2*v**2 - n + 0*v. Factor r(i).\nAnswer: -3*i*(i + 8)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 87*y**3 - 3*y**2 - y - 2779 wrt y.\nAnswer: 261*y**2 - 6*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(-1 + sqrt(12)\/sqrt(4)*-6).\nAnswer: 8 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -220 + 63507?\nAnswer: 63267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x - 4*q = 43, -3*q = 3*x + q - 2*q - 88 + 47 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2899443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 249*a + 4277. What is the remainder when 1794 is divided by q(-17)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (69\/63 + -1)\/(19\/(1710\/(-20)))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1718 = 1195*p + 4650 + 17532 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 39*n - 8. Determine u(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.04 - 0.02. Let l = h - -0.03. What is l rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2310\/19 or 0.15?\nAnswer: -2310\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9)\/a)\/a)\/a**(1\/24)*(a**4)**(-7\/8) assuming a is positive.\nAnswer: a**(-415\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -5*g**7\/42 - 11*g**6\/24 - g**5\/6 - 43*g**2. Factor t(x).\nAnswer: -5*x**2*(x + 2)*(5*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163914 and 2958?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*u + 7978696 = 187*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 11*n**2 - 17*n + 43. Let d be l(-9). Differentiate 5*m - d*m**3 - 144 - 27*m**3 - 5*m - 9*m**3 with respect to m.\nAnswer: -210*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 255*z**3 - 5*z**2 + 10*z. Let b(u) = -382*u**3 + 8*u**2 - 16*u. Calculate 5*b(s) + 8*x(s).\nAnswer: 130*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -186*k**2*n**5 - 8*k**2*n**4 + k**2 + k*n**2 - 6*k + 7*n wrt n?\nAnswer: -11160*k**2*n**2 - 192*k**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.8 + 1.2. Put v, 5, 0.1 in descending order.\nAnswer: 5, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 31 - ((-2)\/(-9) - (49\/(-63) - -6)). Suppose 3*i - 336 - 150 = 0. Calculate the highest common factor of i and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -162 (b) 294 (c) 1.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3 - 30*i**2 - 65*i - 81. Determine o(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 494654 and 3006.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59.5 and 0.5?\nAnswer: -29.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 + -87. Suppose -7*q + 3 = -f - 2*q, 2*f - q + 24 = 0. Let z = f - j. Calculate the remainder when z is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:15 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 11 = 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b. Let x(d) be the third derivative of d**7\/560 + d**5\/60 - 5*d**2. Let u(s) be the third derivative of x(s). Determine 10*h(m) - 2*u(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3221.4, -0.074, 1\/29 in increasing order.\nAnswer: -3221.4, -0.074, 1\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*t - 4*q - 11, t = -4*q - 13. Suppose -c = 4*l - 7, -5 = -4*c + t. Is -1\/48 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317405314769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*j**2 + 10*j**2 + 12*j**2)*(1 + 6 - 4 + (-1 + 0 + 0)*(2 + 4 - 5)).\nAnswer: 86*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2720*u**2 + 28401?\nAnswer: -5440*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaasssasssaasssa. What is prob of sequence aas?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 134798417053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5*z**2. Let v(l) = -643185*l**2 + 0*l - 2*l + 643171*l**2. Determine k(v(g)).\nAnswer: 980*g**4 + 280*g**3 + 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -6*1*(-1)\/(-1). Let v = -6 - w. Sort v, 6, 2 in ascending order.\nAnswer: v, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.507063 rounded to 2 dps?\nAnswer: -71.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.08127 - -0.08127. Let c = 5.07 + -0.07. What is the closest to -1\/3 in p, 0.4, c, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/20*((-12)\/1)\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 59239.43ml?\nAnswer: 59.23943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4036 or -67?\nAnswer: -4036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1361 + 0.6361. Which is the fourth biggest value? (a) -4 (b) y (c) 10 (d) 8.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 2567082, 21, 2, -4 in decreasing order.\nAnswer: 2567082, 21, 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (44*u - 3*u - 2*u)*(-7*u + 3*u + 2*u) + (40 + 54 + 41)*(-2*u**2 + 3*u - 3*u) - u**2 - 4*u**2 + 4*u**2 as f + o*u**2 + g*u and give o.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/(3\/(-45)). Suppose -38*l**2 + 3*l**5 + 13*l**w + 8 + 6*l**4 - 18*l**3 - 6*l**5 - 16*l**3 = 0. What is l?\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -219*j + 221*j, -3*j - 438 = -u. What is the remainder when u is divided by 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899970687 to the power of 1\/3, to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 11*n - 3. Let q(l) = -5*l + 6. Let u(o) = -4*o + 4. Let p(r) = -2*q(r) + 3*u(r). Let d(f) = -a(f) - 6*p(f). Give d(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -27. Let p be -3*(r\/(-6) - 1)*-13. Let d = 34 + p. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 390919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4112 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4.755222nm?\nAnswer: 0.004755222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {h: 2, x: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -5 + 2 + -9 + -11 + -4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -270\/13 in 0.4, -6\/7, 0.2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 + 13*q**2 - 13*q + 2. Let r = 403 + -406. Let s(c) = -c**3 + 2. Let l(z) = r*s(z) + v(z). What is the second derivative of l(f) wrt f?\nAnswer: 6*f + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y + 4 + 9 - 6 + y**3 - 4*y - 5*y**2. Let b be n(7). Suppose 4*g = -5*k + 62, -5*k - g + 25 = -b. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1397, 1284, 1171, 1058, 945, 832?\n\"Answer: -113*z + 1510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65637 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 533 and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-4) - 0)*-10. Suppose -b = -5*v + 5. Let l(d) = -d + 2. Let w be l(0). Solve -w*s + 20 = v*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 6*w + 8. Let l be (3\/(6\/5))\/((-4)\/(-8)). What is s(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2385 and 120.\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 82\/6 + 1*(-4)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9152, 21, 6, -0.09, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -294457430 divided by 2858810?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = 10. Suppose 5*a - w*a = -20. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + g + 1)*(3 + 17 - 1 + 31256*g - 6 - 13) in the form v*g + l + d*g**2 and give d.\nAnswer: 31256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4078065499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -806 not equal to -805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 185 - 192.3. Let h = -6.8 - l. Let a = 13 - 18. What is the nearest to 0.1 in h, a, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fafmsmmmmafsmzmazmz. Give prob of picking 1 m and 1 f.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 0 = 3*g, -4*j = g - 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 3*x - 46. Calculate c(10).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 1. Suppose 0 = -a - 15 + 16. Let l(c) = 2*c**3 - 1 - 11*c + 0*c**3 + 5*c + 7*c. Give a*l(i) + 3*o(i).\nAnswer: -i**3 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 0) + 2 + -1 + 4. Let n(r) = 34*r**2 + r - c - 17*r**2 - 1. List the prime factors of n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(-w**3 + 4*w**3 - 5*w**3) + 0*w**3 - 3*w**3 + w**3)*(-2*w + w - w + (-1 + 1 + 2)*(-10*w + 12*w + 17*w)).\nAnswer: 72*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -1 + ((-2888)\/5928)\/(3\/81).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011241 rounded to 5 dps?\nAnswer: -0.00112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35356?\nAnswer: 2, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = z - 4*u - 0*u, 0 = 3*u + 15. Suppose -20 = -2*k + 2*p, 2*k - z = -p - 4. Calculate the remainder when 37 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1413*d**5\/2 + 1414*d**4 + 1417*d**3\/2 + d**2.\nAnswer: d**2*(d + 1)**2*(1413*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 20*(-7)\/(-4)*-1. Let v be (17 - 3)*(-4 + 4 + -2). Let b = v - p. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-6)*o)*o*o\/o**(3\/8)*o)**(2\/17)*(o**(1\/3))**44*(o\/(o\/(o*o\/o**3*o)))\/o*o*o**(-1\/6)*o assuming o is positive.\nAnswer: o**(1123\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2)\/(-5*(-8)\/20))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 865, 1, -2\/17 in descending order.\nAnswer: 865, 1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203.116 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 34.21. Put 1, d, -0.2 in decreasing order.\nAnswer: 1, d, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(10\/15 + 0). Suppose h*m = 4 + 124. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 9*s = 71, 0 = 14*c - 19*c + s + 99. Suppose -4*v + 129 = -3*z, -2*z = -5*v + 3*v + 66. Calculate the least common multiple of v and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 447632 - 224399. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.6, -0.15, 4, 1\/5, -1, 469?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1 + 26\/(-18). Let j(n) = n**2 - 10*n - 7. Let d be j(-1). Suppose 3*w = -2*w. Which is the nearest to w? (a) 1\/10 (b) d (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-2 + 42\/24)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g + 1. Let x(r) = 26*r**2 - 4*r - 7. What is -6*h(d) - x(d)?\nAnswer: -20*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -151 + 153 + (0 + 1 - 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56394233 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: 67.945*0.01\nAnswer: 0.67945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22659609*t**3 + 40688843*t**2 wrt t?\nAnswer: 135957654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51395, -1, 2881, 3 in descending order.\nAnswer: 2881, 3, -1, -51395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/235 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -967.6, -186, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 10) to base 12.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*y + 75 - 5*y - 9 + 9 + 54*y)*(3 + 0 - 4).\nAnswer: -30*y - 75","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4, 0.43722, -20 in ascending order.\nAnswer: -20, 0.1, 0.43722, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -25660.\nAnswer: 7\/12830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + z + 2*z)*(-1 + 3 + 1) + (0*z - 4*z - 2*z)*(3 + 1 - 2).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 - -0.1. Suppose -8*b = 16*b - 10152. Let g = -426 + b. Put g, 1, s in ascending order.\nAnswer: g, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36916 is divided by 6137?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239 + -244. Sort z, 15, -1, 1, 0.1.\nAnswer: z, -1, 0.1, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, a: 3}. What is prob of picking 1 l and 3 a?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5)*i\/(i**3\/i))**(1\/2) assuming i is positive.\nAnswer: i**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13 and 0.78.\nAnswer: 10.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 537 in ascending order.\nAnswer: 2, 5, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 2385\nAnswer: 2385.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*z + 9, -4*i - 2*z + 1 = 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-267 - 1160*n + 269 + 4311*n + 2127*n)*(0*n**2 - 2*n**4 + 0*n**2).\nAnswer: -10556*n**5 - 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 329*x - 2320. Determine g(7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18\/7*a - 3\/7*a**2 - 11\/7 + 4\/7*a**3 = 0. Calculate a.\nAnswer: -1, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 12*f + 11. Let w(c) = 8*c + 7. Let a(r) = -5*d(r) + 8*w(r). Let q(u) = 3*u + u**2 + 5*u + 5*u - 16*u. Give 2*a(o) + 3*q(o).\nAnswer: 3*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43713482 times 0.5?\nAnswer: -0.21856741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 33, 1, -15\/64 in increasing order.\nAnswer: -15\/64, 1, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-2 - -2 - 12) + 17).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -106.2332? (a) 4 (b) -1\/2 (c) -6\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -11?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = 5*z, 0 = -5*r + 3*z - 0*z + 41. Suppose 4*x - 3345 = r. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*f + 514*f - 260*f - 127*f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (60\/390)\/((-96)\/(-52))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/3*(2 + 2 + 2). Let k be (-1)\/(-4) - 791\/v. List the prime factors of -3 + (-92)\/k + 1002\/21.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.7, -7, -11, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -4, -10 in increasing order.\nAnswer: -10, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 187*o + 1561. Let x be n(8). Let m(t) = 39*t + 1. Let s be m(2). Suppose -d + 3*u + s = 0, -2*u = x - 3. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(-7 + 266\/30 + (-1)\/(-3)). Suppose z + 5 + 1 = 0. Do z and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 85*u**2 + 261*u - 250. What is w(-88)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 518015098 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 403550 + -6?\nAnswer: 403541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = o + 3*o. Let b(d) = -3*d - 2. Let j(y) = -13*y - 9. Suppose 2*n + 72 = 6*n. Let a(s) = n*b(s) + o*j(s). Let u(z) = -22*z**2. Calculate u(a(p)).\nAnswer: -88*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 73 + -3 - 32.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*p - 36*p - 159*p**2.\nAnswer: -159*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -30*r - 795. Calculate x(-28).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -619\/5, 74, -3\/19?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 560916 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + -0.1. Let a = -2.6 + 2.7. Let k = p + a. What is the biggest value in k, 2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -0.4, -25?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -618 - -6806\/11. Let z = -729 - -24092\/33. Let k = z - f. Which is the third biggest value? (a) k (b) -2\/11 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u\/(u*u\/(u*u\/u**5)))\/u)*u**7)\/(u**(-2\/21)*u**(8\/3)\/u) assuming u is positive.\nAnswer: u**(73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3*t + 2*k - 74, -3*t - 71 = -4*k. Let y = t - -36. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/3 + 466*t\/3 + 1832\/3.\nAnswer: 2*(t + 4)*(t + 229)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 638 - -771. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 2*a + 8 - 22, 0 = -4*g - 5*a - 17. Suppose 4*m + 3 = m. What is the smallest common multiple of g and ((-9)\/(-12))\/(m\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 2*h + 22, 0 = 4*h + 7 - 3. Let w(i) = -10*i - 3. Let g(v) = 33*v - 2*v - 42*v - 4. What is d*w(r) + 5*g(r)?\nAnswer: 5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 140\/(-30)*(-1)\/(5\/60). Let l be 8\/14 + (5 - (-3294)\/42). What is the highest common divisor of r and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(2 + -1))\/(130\/(-65))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 51\/4 of a gram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 114088994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2360200 to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 6*o - 3. Let h(y) = -3*y**2 - 13*y + 5. What is -6*h(n) - 13*l(n)?\nAnswer: 5*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -152*f**2 - 1978*f - 13. Determine n(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-15)\/24*-4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125 + 22*l**2 + 125)*(l**3 + 2*l**3 - 5*l**3 + l**2 - l**2 + 2*l**3 + (-2 + 2 + 3*l)*(4*l**2 - 4*l**2 - 2*l**2)).\nAnswer: -132*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 - 1401324?\nAnswer: -1401335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 7*r + 35 = 0, 106517 = 2*d + r + 106510 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 4*m**2 - 3*m**2)*(-2*m**2 + 3*m**2 - 3*m**2) + 0*m**4 - 2*m**4 + m**4 + 0*m**4 + 0*m**4 - 2*m**4 + 3.\nAnswer: m**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57\/2 - -29. Let q = -22 - -27. Suppose 4*o + 3 = q*o. Which is the second smallest value? (a) o (b) 7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2760, 2463, 2166, 1869, 1572?\n\"Answer: -297*y + 3057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.61131 rounded to one decimal place?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 2*c**2 + 2*c + (3*c + 2*c - 2*c)*(c + 0*c - 3*c).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 16) to base 10\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 70*r - 2 - 362*r + 92*r + 43*r + 62*r. Let s(i) = -i**2. Determine j(s(a)).\nAnswer: 95*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 319*g**5 + 2*g - 337 wrt g?\nAnswer: 6380*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 55.615 from 37189.6.\nAnswer: 37133.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 71 + -70. Sort 0.87, n, 2\/13 in ascending order.\nAnswer: 2\/13, 0.87, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(448) + -1 + -1 + -3))**2.\nAnswer: -720*sqrt(7) + 4257","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -486*j + 482*j - 241, -j - 1665 = 34*w for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -5*g**2 - 6. Let x(q) = q**2 + 1. Let m be (2*(-45)\/(-50))\/((-3)\/(-20)). Let a = -11 + m. What is a*t(b) + 6*x(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -1475, -2474, -3473, -4472?\nAnswer: -5471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 549*l**2 - 117*l + 81. Let u(x) = -x**2 + 2*x + 2. Let f(i) = j(i) + 9*u(i). Let c(t) = 11*t**2 - 2*t + 2. Calculate -99*c(n) + 2*f(n).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5154106989?\nAnswer: 3, 3083, 557261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14340 is divided by 101.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*c - 72 = 53. Which is bigger: 2\/13185 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 28 - 3*g - 51 - 2*g + 6*g. Give w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8054?\nAnswer: 2, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 12*i + 49. Let s(d) = -12*d**3 - 216*d**2 - d - 22. Let g be s(-18). Determine w(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 79*q + 1272. List the prime factors of x(-8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, -1\/7, -9\/46, -3\/5, 6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4179 - 12712\/3. Let u = -46 - 14. Let i = u - f. What is the nearest to 1 in i, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*x + 11*x + 2*c + 29 = 0, -4*x = -6207*c + 6203*c + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16876538 and 154.\nAnswer: 185641918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/15 + 11815\/(-25) + -3. Put -1, 5, s, 1 in ascending order.\nAnswer: s, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -0.03 (c) -4 (d) 0 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + -60. Calculate the greatest common factor of c and 559.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 6 - 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -48740\/13 and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 56 + -56. Suppose 5*j + 52 + a = -4*s, -4*j - 13 = s. Let v(m) = m**3 + 13*m**2 + 2. Determine v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t + u + 6 = 0, -t - 14 = 3*u. Let g be (-5)\/(6\/4 - 2). Let j be (74999 + 1)\/(t\/g). What is j rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0164842416 to six decimal places.\nAnswer: 0.016484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23010 + 4?\nAnswer: 23014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 26 = 157. Let a = f + -83. Let i = a - 26. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + z**2 + 7*z - 12. Is a(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -289761\/34 - -8523. Find the common denominator of -51\/4 and n.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38) + (sqrt(2432) - sqrt(2432)*1))\/(sqrt(50)*4))**2.\nAnswer: 19\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4600 = 137*w - 367*w for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 - q**3 + 2*q**3)*(-q**2 + 2*q - 2*q) + 2*q**5 - q**2 + q**2 - 9*q**5 + 10*q**5 + 10*q**5.\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1536 - 1549. Put 4, 3, f, 5, -8 in decreasing order.\nAnswer: 5, 4, 3, -8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 7*w - 6. Suppose -3*u + 4*f = 25, u + 0*u + f + 6 = 0. What is x(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -2209\/2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -50567 and -50145 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 4*v - 420. Suppose z + v = 6*z. Let p = 2184 + -2182. Solve 4*g + z = -4*f, 3*g - 5*f + p*f = 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1292616684 to the nearest integer?\nAnswer: 35953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 1. Let f be (-5*19\/(-380))\/((-5)\/(-2) - 2). Which is the closest to f? (a) u (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i + 9*i - 22*i + 6*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 - -134. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 8*u**2 - 10*u + 3. Let s(o) = -4*o - 7. Let v(g) = g - 11. Let i be v(7). Let a be s(i). Calculate k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + -5*sqrt(66)*2)\/((-1*sqrt(216) - sqrt(216)) + sqrt(216)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.07 and 49130?\nAnswer: 3439.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -10. Suppose 0 = 2*w - x*w + 65. Solve -w - 2 = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 p when two letters picked without replacement from {p: 6, t: 3, s: 1, u: 2, v: 1, q: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 2*w - 86. Calculate p(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1584 >= -1584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -6*r**2 - 3*r - 1. Calculate q(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 4*r. Let w(n) = -4*n**2 + n - 6. Let y(k) = 11*k**2 - 3*k + 17. Let v(i) = -8*w(i) - 3*y(i). Let l be v(0). Is t(l) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72634504.\nAnswer: 2, 271, 33503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -p**5\/25 + 54*p**4\/5 + 986*p**3\/15 + 132*p**2 + 1926*p - 1. Solve f(x) = 0.\nAnswer: -2, -1, 165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 7*b**2 - 7*b + 2. Suppose 6*k + 24 + 12 = 0. Let v be s(k). Solve -2*l = -4*l - v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 265917150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7*k + 25. Calculate w(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11\/9560855 or -1?\nAnswer: 11\/9560855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is aae - -3?\nAnswer: ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96761 + -56190. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10601 + -6236?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g + 143 - 69 - 74 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -12*y - 1. Let n be m(11). Let q be 4*3\/3 - 5 - n. Let i = q + -113. Solve -4*c = -c - 4*k + i, 0 = 4*c - 2*k + 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 63 = -177. Let t = -56 - z. Let g be 3\/(-2)*(-4)\/(-351). Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 19 = 7. Let d be (-128)\/48*9\/v. Let a be (-3 - 5\/(-2))*d. Solve 2*y + 2*q = 5*y - 10, 3*q - a = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/(-9))\/(2\/3). Differentiate -q**3 - 5*q**3 + 5*q**3 - r*q**3 - 10 with respect to q.\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5, 28, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 320310044 (base 5) to base 12\nAnswer: 546485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22518983023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -660, -1094, -2080, -3834, -6572, -10510, -15864?\nAnswer: -22850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -202*c - 2642. Determine h(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 5*b**2 - 4*b + 6. Let f be p(-4). Let z(k) = -5*k**2 + f*k**2 + 5*k**2. Let j(n) = -2*n**2. Calculate z(j(m)).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -177 + 173. Let k = -3 - 0. Which is the third biggest value? (a) x (b) 1.9 (c) 0.5 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -1) + -141 + 146 + (2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k = 43*k + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -0.4 (c) 2 (d) 683\/5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -4*m + 260. What are the prime factors of m?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 5}. Give prob of picking 2 j.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*-2*(-1)\/(-6)*(-78)\/819?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -5*f**2 + 2*f**3 - 4*f**3 + 4 - 3*f**2. Let v(p) = -p**2 - 3*p. What is 3*b(c) - 16*v(c)?\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 2*o - 9. Calculate g(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.00083 - 76.31083. Round p to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -569\/3 (b) 3\/59 (c) 1\/4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2)*w)\/((w\/(w**(-4)\/w*w)*w)\/w))\/(w**(2\/5))**36)\/((w*w**(2\/15))\/(w*((w\/(w*w\/w**(-2\/13)))\/w)\/w*w))**(6\/13) assuming w is positive.\nAnswer: w**(-3626\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1307993844 - 1307993805.00000076. Let x = -39 + d. Round x to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5064 + -20257\/4. Sort -2\/11, 0.3, x, -2.\nAnswer: -2, x, -2\/11, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 - 45*z**2 - 233*z**2)*(-4 - 1 + 3)*((-3 + 6 - 2)*(0 - 3 + 2) + 4 - 3 - 3 + 9 + 1 - 3).\nAnswer: 2176*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79223*m - 79291*m = -1020 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (sqrt(153) - 3*sqrt(153)*5)) + -2.\nAnswer: -2 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 7*b = 420. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102300000 (base 4) in base 7?\nAnswer: -436623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -546*y**3 + 6*y**2 - 8*y + 1. Let v be q(1). Let s be 0\/(-1) - 759*-2. Let k = v + s. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - 0. Let u = 6.92 - -0.08. Let v = 6 - u. Put v, 3, z in increasing order.\nAnswer: v, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 9*q**2 - 9*q + 9. Let w = -2354 - -2362. Calculate v(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glz when three letters picked without replacement from ghzclgsl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 165*t**2 + 469*t + 4. Determine r(52).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*y = -3*w - 21*y - 6, -5*w = -2*y - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**3 - 4645*k**2 - 23350*k = 0. Calculate k.\nAnswer: -5, 0, 934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 19740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzzzzk. What is prob of picking 3 z and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104\/108*24462\/604.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -29. Suppose -s - 43 = -4*s - 4*n, 5*n = s - 8. Suppose w = 2*x - s. Solve 8 = -t - 3*t + 5*c, -3*c + x = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a milligram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 35*b - 117 = 531. Calculate the highest common factor of b and 207.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*d + 5*d + 5*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 404380 is divided by 147.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 + -8.5. Sort z, 3, 5, -0.2.\nAnswer: z, -0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9883471 centuries to months.\nAnswer: 1186.01652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -j - 2. Solve -4*u - f = -0*f + j, 2*u - 8 = 4*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1362003 to 3 decimal places.\nAnswer: 0.136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2. Let t(v) be the first derivative of 0*v**2 + 44\/3*v**3 - 11 + 0*v. Give a(t(o)).\nAnswer: 1936*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -62*z - 30. Let t(n) = 2*n. Calculate t(w(v)).\nAnswer: -124*v - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (85 - 4) - (-1 - -1). Calculate the highest common divisor of 836 and d.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-3)*(-3)\/2. Let n = 22 + u. Suppose -4*d = -d - n. Solve 2*k = d*k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/10)\/3*4\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 4. Suppose 4*x + a = 3*x. Let z be -2*(x - -2 - 2). Solve 5*n - 3*n = z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/4, -1\/2, -83, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10010573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/63 - ((-16)\/36)\/2. Let a be 1\/4 - 3\/44. Is a at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -i + 40. Suppose 4*j = 3*x + i, 2*x + x + 2*j = -64. Is 6\/(-15) + (-1188)\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/54*309708\/(-12290)?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p + 12*p + 30*p.\nAnswer: 53*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -2 (c) -3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2425 + -14?\nAnswer: -2442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319719 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575893838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32)\/80 + 36\/(-10). Suppose 4*m + 11 = v, 0 = 3*m - 4*v - v + 4. List the prime factors of k\/m*(-1 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14467, 5, 0.4, -1\/6, 0.25, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 204517541 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9313 rounded to two dps?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 13572, 27156, 40726, 54276, 67800?\n\"Answer: -n**3 - n**2 + 13594*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*r - 11. Let n(k) = 2*k**3 - 3*k**2 - 5*k - 3. Let d(t) = -t**3 + 2*t**2 + 4*t + 2. Determine r*d(o) - 2*n(o).\nAnswer: -o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.3, 0, -60, 5810, -1\/4 in decreasing order.\nAnswer: 5810, 0.3, 0, -1\/4, -1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1265*j - 28514 = 37649 - 7973 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000074814149 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6636, -13283, -19930, -26577, -33224, -39871?\n\"Answer: -6647*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/8*639\/7242.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 = -3*f, -4*f + 9*f + 15 = -5*r. Let y(z) be the first derivative of z**4\/4 - z**3\/3 + z**2\/2 + 15*z + 3. Is y(f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58998 (base 11) in base 9?\nAnswer: -138588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-83 + 41 - -64) + (3 - (5 - 2)) + -1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*c + 32, -17*t + 10*t + 7*t - 81*c = -729 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-6)\/4)\/(2\/4). Let b(y) = -11*y**3 + 4*y**2 + y. Let u(d) = -d**3 + d**2 + d. Let v(k) = -b(k) + 2*u(k). Determine v(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2224 is divided by 67.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -0.5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (13 + 0 - -4) + (-27 - -31)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 400 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g + 25 + 2*g - 2*g. Let i be z(8). Suppose -7 = -4*a + i. What is the remainder when 57 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -8*f - 2574. Calculate the greatest common divisor of 39 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 244154639 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, x: 17}. Give prob of picking 2 m and 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*k = 5339, -4*w + 3*k + 7114 = -0*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 9*i - 3. Let a be p(9). Let x = -2\/1973 + 151945\/23676. What is the common denominator of (a\/(-18))\/(16\/(-186)) and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*o - 15*o**2 + 4 + 93*o + 152*o + 2.\nAnswer: -15*o**2 + 450*o + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/3 + (-94)\/(-47). Let i be 2\/8 + 7\/4. Let z be q\/i - 150\/(-12). Calculate the greatest common divisor of z and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 at least 1138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -6*f. Suppose -10 = -v - 3. Let o = v + -5. Let a(l) = 3*l**2 + 6*l**2 - 7*l**o. Give a(x(w)).\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 42 = 33. Let u = p - -25. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*k - 180*k + 1144 = -303*k for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-935)\/(-68)))\/(12\/(-10)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 13*w + 99. Let v be u(-25). Let q = v + -536. 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: Calculate prob of picking 1 u and 3 n when four letters picked without replacement from vinnunu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 + 67*y - 790. What is the hundreds digit of v(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 602424.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74675884?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5771700 and 540?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/447, 2, 3\/7, 1, 2\/371?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by 14?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*k - 14*k - 60. Calculate the remainder when 357 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhw when three letters picked without replacement from {h: 11, w: 9}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(80) + 0.\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 3 + u - 6*u + 2 - 2. Calculate v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67731.27km in millimeters?\nAnswer: 67731270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(4*z - 10*z - 4*z)*(8 - 12 - 11)*(-1 + 3 + 0 - 1 + 4 - 5 + (-2 + 2 + 2)*(-2 - 2 + 5) - 2 - 2 + 3 + 4 + 3 - 5).\nAnswer: 900*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 64376 divided by 619?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 27*j**3 + 10*j**2 + 2*j + 3. Let c(m) = 14*m**3 + 6*m**2 + m + 1. Give -3*b(r) + 5*c(r).\nAnswer: -11*r**3 - r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 8 + 6)*(0*v**3 - 2*v**3 + v**3).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -6\/5, 0, 2, 9\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*k = -16. Let o = 1.3 + -0.3. Let l = -4 + o. Sort k, l, 3.\nAnswer: l, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -1.1, -1\/8, 2\/45, -4, 1?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087184 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-4 - -4) + 15. Let k = d + -6. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51275?\nAnswer: 5, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*v - 5*g, 5 = 2*v - 5*g - 8. Let m(h) = -h**2 - 8*h - 4. Let s be m(v). Let n = s + -5. Solve -1 = -n*z - 4, -3*j - 3*z - 9 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f + 41. Let h be j(19). Let z = 3 - 0. What is the second derivative of 2*x - 13*x**z + 16*x**h + 5*x wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.052 (b) 1.6 (c) -53 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 195, 68 in descending order.\nAnswer: 195, 68, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - s**2 + 2*s**2)*(-2 + s + 2) - 1272*s - 80*s**3 + 1272*s.\nAnswer: -78*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2480906265412 - 0.1.\nAnswer: -2480906265412.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 386 is divided by 76.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58056 and 207624.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 40*r + r**2 + 10 + 19 - 10*r. Let f be x(-29). Solve f = 4*s, 3*s + 2*s - 8 = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 + -8 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -20*d**3 + 2*d**2 - 4*d - 1. Let p be j(-3). Let w = 812 - p. Let y = w - 132. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1772696 and 39\/90185909.\nAnswer: 721487272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130141 = -702*r - 873*r + 584 for r.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 11:27 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (468\/91)\/((-3)\/(-14)). What are the prime factors of 2 - (3 - 3 - y)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129142421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a = 6. Suppose 3*z = 5*p - 10, -p + 0*z + 2 = z. Solve -a*t - 3*m - 3 = 0, 0*m = -p*t + 4*m + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*a - 3411 = 0, 3*q + 5*a - 5832 - 4445 = 0. Calculate the remainder when q is divided by 76.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-266)\/(-266) + 3\/(-2)*-2 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(4\/9))**(-17)\/(p**(-6\/19)\/(p**(4\/7)*p*p*p)))**(-2\/19) assuming p is positive.\nAnswer: p**(49480\/22743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 63. Suppose -5*n = -4*c - 4, -4*n + n = -12. Suppose -4*t - 4 = 0, 6 = v - c*t - 12. Calculate the greatest common factor of v and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6061.941mm to kilometers.\nAnswer: 0.006061941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2242 + -761. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-100505 + 0\/(-1))\/(247\/494). Round q to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*sqrt(17))*-3 + (-3*sqrt(136) + sqrt(136))\/sqrt(8)*4.\nAnswer: 15 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 287*13\/546)*(-2 - (-30)\/42).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 9 = 4*p, -3*p = 3*n - 1 + 4. Let k = -4 - p. Sort k, 5, -2.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1468 - -1464. Suppose 12 = 3*m + 3. Sort 0, m, x in descending order.\nAnswer: m, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(6\/7)\/c**8)\/(c\/(c**9*c)*c*c*c**(-1\/11)*c))**(-12\/11) assuming c is positive.\nAnswer: c**(972\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/5 - 4*z**4\/5 + 132*z**3\/5 + 16*z**2\/5 - 74*z - 252\/5 = 0.\nAnswer: -9, -1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*w**2 - 132*w**6 - 51*w**2 + 19*w**2 + 31*w wrt w?\nAnswer: -15840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**4 + w**3 + 6*w**4 - 3*w**4 - 2*w**4 - 3 + w + w**4 as o*w**2 + j + q*w + p*w**4 + s*w**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 + 4*j**2 + j + 3. Let f(c) = -3*c**3 + 10*c**2 + 2*c + 7. Let h(d) = 2*f(d) - 5*s(d). Calculate h(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30316 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 3*z + 86 = z, -603*z = 3*d - 606*z - 21 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-21)*(-14)\/(-28).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 50 = 92. Is -10 greater than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 3:55 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 19?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5425 and 2555?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1248, 2 in decreasing order.\nAnswer: 1248, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 105, -3, 25, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4532585141 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11004468 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -13*i**2 + 197*i + 418. Give b(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 98456 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12130 = 600*r - 5870 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**3\/3 + 7. Let m(n) = 2*n + 61 + 60 + 10*n - 121. Determine m(x(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1071 and 1224.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = k. Let f = 1 - k. What is the units digit of f\/5 + 74\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2689 is divided by 829.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:48 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5 - 6*z**4 - 6*z**3 + 14*z**2 + 12*z = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 11 = -7*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*i - 22, 3*s + 9 = 2*i + i. Solve -p + 5*h = -18, -4*h + 0*h - 6 = s*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(400) + sqrt(400))*6)\/(sqrt(24)\/sqrt(3)*-2))\/(((sqrt(70) + 2*sqrt(70))*1)\/(sqrt(252)*2)).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72304904, -72304901, -72304898, -72304895, -72304892?\nAnswer: -72304889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1 - 24*l - 1 + 9*l + 14*l. Let o(v) = -805*v. Determine w(o(h)).\nAnswer: 805*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -240 + 222. Let f = j - -278. Calculate the least common multiple of f and 22.\nAnswer: 2860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4851, -19394, -43627, -77544, -121139?\nAnswer: -174406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2470 + 2472. What is the least common multiple of 768 and r?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1263140305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1367 + 1373.108. Let h = 3 - -3. Let m = h - d. Round m to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -8. Let u be 2497\/(-3212) - 72\/(-2628). What is the third biggest value in a, 2\/25, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5 + sqrt(152)\/sqrt(8) - -6*sqrt(114)\/sqrt(6)) - ((sqrt(152) - (2*1*sqrt(152) + sqrt(152)))\/sqrt(8) + 2 + sqrt(931) + 1))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*w - 6, -2*w - 8 = -2. Solve 2*a = -s + 3, -i = -3*s - 2*a - 3*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/4)\/(14\/504*-6). Let k be 2 + 2 + 1*2. Solve -i*h - 2 = -l + k, -h + 2*l = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 n when three letters picked without replacement from {a: 1, o: 2, n: 1, l: 7, u: 4}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -553883925.66 plus -0.055?\nAnswer: -553883925.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gb when two letters picked without replacement from qgqbbyyzbbbb?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -51?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2. Let x(c) = 26233*c. Calculate x(n(p)).\nAnswer: -26233*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 2*c - 24. Suppose -4*j + 11 = 3*z, -4*j + 2*j - 2*z = -c. Suppose 0*i = 3*i - t - 11, 0 = i + j*t + 23. Solve -i*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 - -31. What is the third derivative of 14 + y*x**2 + 14 - 28 + 8*x**4 wrt x?\nAnswer: 192*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f**2 + 181*f - 1. Does 13 divide q(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -5. Suppose 1 = -3*n + 2*n. Let p be ((-12)\/(-4) - n) + -2. Solve -p*x + 2 = v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o - 5. Let s(m) = -95*m + 5. Let l(i) = -157*i + 10. Let j(a) = 3*l(a) - 5*s(a). Give 4*j(v) + 5*n(v).\nAnswer: -4*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/4419324 and 41\/5928.\nAnswer: 8838648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -893?\nAnswer: -892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**7\/1120 + n**6\/160 - n**5\/40 + 3*n**3\/2 + 10*n. Let i(j) be the second derivative of g(j). Suppose i(x) = 0. Calculate x.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7784.039 - -7788. Round r to one dp.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/249 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 s when four letters picked without replacement from {m: 9, s: 7}?\nAnswer: 27\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 38 - ((-8)\/(-1))\/(-4). Suppose 4*x = -4*z + h, z - 4 + 12 = 2*x. Calculate the least common multiple of 8 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 7 = 4. What is the greatest common divisor of 44 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 2*b**2 - 512*b + 1546. Calculate v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -0.2, -1\/412, 5, -1?\nAnswer: -1\/412","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**6\/360 + t**5\/120 + 3*t**4\/8 + 26*t**3\/3 - 38. Let h(a) be the third derivative of x(a). Determine h(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*(-3 - 1). What is the units digit of 5 + -2 + 2 - v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*d - 8*d**2 + 44*d - 5 in the form q*d + l + g*d**2 and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/11)*a**11)\/(a**5)**(10\/11))**47 assuming a is positive.\nAnswer: a**(3431\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 368000 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-17)\/(-102)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -29 (c) 2 (d) 579\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 342, -1 in decreasing order.\nAnswer: 342, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5 + (1*(sqrt(1088) - (sqrt(1088) + 1) - sqrt(1088)) + -1 - (-2*1*sqrt(1088) + sqrt(1088))*6))**2 + 2 + 0.\nAnswer: -960*sqrt(17) + 27346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 - 53. Let v = 4 + l. Let p = 0.9 + 0.1. Which is the third biggest value? (a) v (b) p (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3003657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*-2 - -2. Suppose -2*a = -k*s + 11, 3*a + 10 = 4*s - 2*a. What is the third smallest value in -1, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -2 - (5 - 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/110 and 5 + (-11509)\/2800 + (3 - (-81)\/(-21)).\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*v + 2*f = -2028, -5*v - f + 3393 = 0. List the prime factors of v.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wosxxeoywox. Give prob of picking 1 e and 1 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 7*z**2 + 7*z - 1. Suppose -3*r = q + 2*r - 7, 0 = -4*r + 12. Give w(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + i - 2298, 4*i - 2286 = -f - 0*i. Is f\/(-6)*(-1 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**4\/4 - 3*p**3 - 15*p**2\/2 - 16*p. Let g(m) = 0. Calculate m.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - q**2 + 9 - 4*q - q - 5. Let h = -56 - -59. List the prime factors of l(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -12) + (-21 - (55 + -35 + 17))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-12) - (-27)\/(-6))*2\/18\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 1. Suppose -t*j + 128 = j. What is the greatest common divisor of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x + 7 + 7 + 24*x - 3 + 1 + 32*x.\nAnswer: 6*x + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 12*u**2 + 27. Let m(b) = b**2 + 2. Let a(o) = 2*c(o) - 27*m(o). Let k(g) = -297*g - g**2 - 6*g**2 + 37*g + 265*g. Determine a(k(f)).\nAnswer: -147*f**4 + 210*f**3 - 75*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*1*(-3)\/4*(-792)\/297?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -405 - 404 - 408 - 407 - 410 + 2*z + 2037. Let t(h) be the first derivative of 2*h**2 + 7*h + 2. Give -9*r(a) + 4*t(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 4*x**2 - 8*x - 22. What are the prime factors of a(19)?\nAnswer: 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 4*c**2 - 75*c - 6. Let o(n) = 3*n**3 + 11*n**2 + 224*n + 17. Calculate -4*o(f) - 11*s(f).\nAnswer: -f**3 - 71*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4.017 in 3\/5, -0.5, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 42376343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000213606803 to seven dps.\nAnswer: 0.0000214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 2:46 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 1461021.16?\nAnswer: 1461021.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4\/55, 1, -3, -0.2, 0.1, -2\/5113?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:31 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (733\/(-6)*2)\/(3\/(-27)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*t**4)*(0 + 0 - 2*t) + (4 - t**2 - 4)*(-t - 3*t + 7*t)*(-2*t**2 + 2*t**2 + t**2).\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = w - 12, 4*w + 6*h - 24 = 2*h. Suppose -3*t + 5*z + 12 = 0, w*t - t - 2*z - 3 = 0. Sort -5, t, -4.\nAnswer: -5, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2805929.\nAnswer: 7, 251, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 4800 = -4*v + 11*v. What is the remainder when 486 is divided by v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 11*i**2 - 27*i - 55. Let n(d) = 25*d**2 - 55*d - 110. Let h(y) = -4*n(y) + 9*t(y). Determine h(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2221676 (base 8) to base 12\nAnswer: -24a766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 4*i - 1. Let o be (0 + 24)*(-4 - 54\/(-12)). Suppose -31*a - o = -27*a. Determine z(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -2 - (-107 + 0). Suppose 3*c = -2*n + k - 42, -1 = n. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*r + 50 = -3*r. Suppose r*w + 2 = 0, 0 = -5*a + 3*w - 0*w + 103. Calculate the greatest common divisor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and 0.1368018.\nAnswer: 10.1368018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6223.2 - 26694.142?\nAnswer: -20470.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/64 and -49\/18?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*k + 23*k + 24*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4 + 255\/(-3740).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 minutes before 7:32 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:37 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/5, -1, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52 + 1343473355.\nAnswer: 1343473303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-3) + -4 - -1. Let k be 2\/w + (-63)\/(-18). What is the first derivative of -7 - k*f - 6*f**2 + 0*f + 3*f wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cb5 + 6?\nAnswer: -cac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13254d9 + -4?\nAnswer: 13254d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*t**3 - 2*t**2 - 293.\nAnswer: -162*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(8\/(16\/4)). Suppose -2*q + 3*q - d = 0. Let k(y) = -y**3 + 5*y**2 + 5*y + 4. What is the tens digit of k(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**4\/24 + 4*o**3\/3 - o**2. Let h be m(-7). Let k = -2 - h. Sort 1, k, -1 in increasing order.\nAnswer: k, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 527*l**3 - 531*l**3 - l**4 - 15*l + 14*l to v*l**4 + w*l**3 + g*l**2 + p*l + d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4669884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 11*f**2 - 39*f - 18. Let x(u) = -u**3 - 12*u**2 + 43*u + 20. Give -11*d(j) - 10*x(j).\nAnswer: -j**3 - j**2 - j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - 0 - (4 - 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 3*h - 18. Solve -h = -4*l + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4105 = 73*l - 68*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-five quarters of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3568*h + 1677*h - 1376*h + 898*h + 1063*h.\nAnswer: 5830*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 136272987?\nAnswer: -136272986.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (12 - (-2 + 5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 8*g**2 + 6*g - 3. Let r be l(-7). Is 11\/3 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -10*g. Let b(v) be the second derivative of 0*v**3 + 1\/6*v**4 + 20*v + 0 + 0*v**2. What is p(b(u))?\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -992 + 992. Is -29\/28 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Let u(w) be the second derivative of 5\/12*w**4 - 1\/3*w**3 + 7\/2*w**2 + 0 + w - 1\/20*w**5. Give u(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18339 - -18263.544. What is f rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91190 - 224630 - 50920 - 2*v**2 - 3*v**2.\nAnswer: -5*v**2 - 366740","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 3*o = -16*q - 24, 0 = 4*q - 2*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -542 = -3*b - 5*r + 130, 0 = 5*b - 5*r - 1120. Calculate the highest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, l: 2, i: 6, k: 5, d: 1}. What is prob of sequence ln?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 851 and 8199792.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(28\/16))\/((-2)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 5*r**3 - 2*r + 5. Let d(a) = -14*a**3 + 6*a - 14. Let k(w) = -w**2 + 17*w - 25. Let i be k(14). Give i*p(v) + 6*d(v).\nAnswer: v**3 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 302002.\nAnswer: 2, 31, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 125039293952*c - 125039293952*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -344 - -354. What is the remainder when o is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/1 - (9 + -6). What is the smallest value in v, 1, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 4 + 6. Suppose 0 = -o + 5*m - 10, -o - 2 - 2 = -2*m. Sort z, 4, o in increasing order.\nAnswer: z, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/5)\/u)\/u*u)\/u**2)\/(u*u**(-1\/2)*u**(-4\/7)) assuming u is positive.\nAnswer: u**(-233\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 143053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142 a factor of 519690815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3 + 3913*d**2 - 3837656*d + 19090580 = 0.\nAnswer: 5, 1954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of 47*t**2 + 8*t**3 + 0 - 1\/30*t**5 + 0*t + 0*t**4 + 1\/6*t**7 + 0*t**6. What is the first derivative of k(u) wrt u?\nAnswer: 140*u**3 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 274 - 134. Suppose 148 = 142*h - m*h. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475154, 474140, 473126?\nAnswer: 472112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471, 475, 481, 489, 499?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 9:55 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000110 + 11110010?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 244 - 2194\/9. Which is the third smallest value? (a) u (b) -4\/7 (c) 0.22 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 9*d**2 + d - 11. Calculate m(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 10:43 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664471 - 664471 + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 134577 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7869585.\nAnswer: 3, 5, 29, 79, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -174297, -348761, -523419, -698271, -873317, -1048557?\n\"Answer: -97*i**2 - 174173*i - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 5*p + 7*p - 6*p + 14 + 4*p. Let q(b) = -6*b + 258. Let l be q(44). Give h(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3448, 3523, 3650, 3829, 4060, 4343, 4678?\nAnswer: 5065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1959 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -3\/2, -0.03, 2.9, 177?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -234*n + 240*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 7*r**2 - 5*r - 1. Suppose -3*q - 9 = -3*l, 179*q + 4*l + 13 = 178*q. Calculate b(q).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 + b. Let g be (2\/(-3))\/(8\/12). Let y be h(g). Suppose y*i = -3*i + 18. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -0.9. Let u = -375\/259 + 6\/37. Which is the third smallest value? (a) v (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 + (3 - -9) + -91 + -7\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9 - 38.3. Let a = 9.6 - n. Let y = 31 - a. Sort y, -1, -5 in increasing order.\nAnswer: y, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.36414ml in litres?\nAnswer: 0.09836414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 1\/3*t**3 - 3*t**2 - 1 + 3*t. Determine f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -362, -798, -1408?\nAnswer: -2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 6*s**2 + 14*s + 7. Is l(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 625728 divided by -78216\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 2*r - 2 = 0, 2*c - 1256*r + 1255*r = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 27, 86, 145, 204?\n\"Answer: 59*h - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -531548 bigger than -531550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 530 - 2647\/5. Let q be (2\/4)\/(14\/16). What is the second biggest value in -1\/11, q, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 118, -38, -5, 3, -6, 5 in increasing order.\nAnswer: -38, -6, -5, 0, 3, 5, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/5 - 1556*o\/5 - 302642\/5.\nAnswer: -2*(o + 389)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a + 49220. Suppose -11*i + a = 2144. Is 20 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9 + 5699377.\nAnswer: 5699375.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 621299 - 621295. Determine j, given that -150\/7 - 2\/7*j**5 - 156\/7*j**2 - 20\/7*j**3 + 310\/7*j + 18\/7*j**v = 0.\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 38 = -31. Put m, 1, 4 in descending order.\nAnswer: 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 i when three letters picked without replacement from {i: 3, e: 5, s: 5}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/20 - 3*s**4\/4 + 2*s**3 + 13*s**2\/2 - 342*s + 9. Suppose -3*c = 26 + 4. What is l(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 54\/(-45)*(-10)\/4. Let t(l) = 2*l**2 + 12*l + 2. Let x(b) = -4 + b**2 + 6*b + 5 + 0. Let q(i) = n*t(i) - 7*x(i). Give q(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 760978?\nAnswer: 6\/380489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 8 + 1 + (131 - 132)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 3379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 1:40 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -14991.51.\nAnswer: -14989.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from qdhdqhii.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001233 to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -68 - (20 - 53 - (-6 - 13) - -28)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 225 - 177. Let s be (-5)\/(3\/(p\/(-20))). Solve -v = s*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 49\/5 of a century?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-1 - -3) - 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -32c1cc7 + 4?\nAnswer: -32c1cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**2 - 6*i**2 + 2*i**2 + (-2*i + i + 0*i)*(5 - 3 - 3 + (-1 + 1 - 2)*(-4 + 6 + 0) + 1 + 0 + 0)*((0 + 2*i + 0)*(3 + 0 + 0) - 3*i + 0 + 0).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*w - 1370, -449 - 6 = -w - g. Calculate the greatest common divisor of w and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -4*k**2 + 3*k + 3. Let d(h) = -5*h**2 + 4*h + 4. Let v(n) = 3*d(n) - 4*g(n). Let m(l) = 8*l**2. Calculate m(v(r)).\nAnswer: 8*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -21*i**3 - 17*i**2 - 23*i - 241. Is r(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 8.2, -34.5 in ascending order.\nAnswer: -34.5, -0.2, 8.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4593732 divided by 5354.\nAnswer: -858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmnmnnnnmmm. What is prob of sequence nmnn?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 12*l - 38. Let r be s(-5). Sort 5\/8, 3\/4, -2, r in increasing order.\nAnswer: r, -2, 5\/8, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, r: 3, m: 4}. What is prob of picking 3 m and 1 r?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 + 1.93. Let p = k + -1.99. Let b = -0.01 + p. What is the third biggest value in 0.1, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 54\/9*14\/6. Suppose -3*h + g + 64 = 11, -4*g = -h + j. Suppose 26*y - 1376 = h*y. List the prime factors of y.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -51*m**3 + 4641*m**2 - 2*m + 197. Determine n(91).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - (-8)\/(-4) - 3. Suppose r - 3*g = -19, -r - g + 27 = 26. Which is the closest to f? (a) r (b) -1\/7 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4156, 8245, 12336, 16429, 20524, 24621?\n\"Answer: n**2 + 4086*n + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 366 + -b23?\nAnswer: -7ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**6\/3 - 9*c**4\/2 + c**2 - 37*c + 211. What is the second derivative of p(s) wrt s?\nAnswer: -40*s**3 - 108*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-11\/2))**(-3\/7) assuming o is positive.\nAnswer: o**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + (-1)\/(-1) + 7 + -6. Solve b*v - 5 = -0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 14. Let n = 14 - u. What is the highest common divisor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/((o*o*(o\/((o**3*o)\/o))\/o)\/o))\/o))\/(o**1\/o))**(-13\/5) assuming o is positive.\nAnswer: o**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 710*j**2 + 210*j**2 + 606*j**2 as r + z*j**2 + y*j and give z.\nAnswer: 1526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -212*i**2. Let s(t) = -4*t**2 + 15*t - 225. Let d(g) = g**2 - 4*g + 60. Let o(r) = -15*d(r) - 4*s(r). Calculate o(u(q)).\nAnswer: 44944*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 31 = 3. Let i = l + 10. Suppose 2*x = 4*x + i. Which is the biggest value? (a) x (b) 3\/4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15316 + -444074\/29. Which is the second smallest value? (a) 0.2 (b) 2\/17 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*s - 1848 = -10*s. Solve -84 = 12*c - s*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6804 = n + 13*n. Let l be n\/(-324) - (-5)\/(-2)*-1. What is the biggest value in l, 5, 0, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1187, -5007, -11563, -20951, -33267, -48607, -67067, -88743?\nAnswer: -113731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -1, 10, -83 in increasing order.\nAnswer: -83, -8, -1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -644 from -558.568705.\nAnswer: 85.431295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i + 13. Let n be t(4). Suppose 4*k = 29 - n. Differentiate 2 - 4*y - 11*y + k + 0 with respect to y.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*-1*2*(-1 + 1*sqrt(325)) + -5))**2.\nAnswer: -4160*sqrt(13) + 83876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2\/9 + 8116*q\/9 - 3802120\/9.\nAnswer: -4*(q - 1295)*(q - 734)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.8137 - -0.1863. Which is the biggest value? (a) v (b) -5 (c) 1\/15 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*l**2 - 35*l - 16*l - 2063*l**2.\nAnswer: -2099*l**2 - 51*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*b - 17*b + 250. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11211110010 - 20?\nAnswer: 11211102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/31)\/(u*u**31*u))\/((u**(-13)\/u)\/(u**0*u)) assuming u is positive.\nAnswer: u**(-560\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4963 + 6973. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 181350 and 500526.\nAnswer: 12513150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 197939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -378*j*t**5 + 8*j*t**2 + 3*j*t - 3*t - 89 wrt t?\nAnswer: -7560*j*t**3 + 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16388967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 20*w**2 - 2 - 9*w - 44*w**2 - 222*w**2.\nAnswer: -246*w**2 - 11*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 0 - (-1 + -1 + -5 + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-75)\/10 + 4 - -3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)*x)\/(x**(2\/19)\/x))**24 assuming x is positive.\nAnswer: x**(-960\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 h when three letters picked without replacement from fhhf.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, q: 2, p: 6, j: 2, z: 3}. What is prob of picking 2 p, 1 q, and 1 k?\nAnswer: 6\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1825*u**2 + 395*u**3 + 712*u**3 + 750*u**2 + 371*u**3 wrt u?\nAnswer: 8868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347444, -347443, -347442, -347441?\nAnswer: -347440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/9 - 4*u = 0 for u.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -1.8. Let p = -0.03 - 0.07. Which is the second smallest value? (a) p (b) -1\/6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**4 + 2778*n**3 + 640311*n**2 - 1300128*n - 1937664 = 0.\nAnswer: -464, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 4*p + 32, 4*x - 18 = 2*p + x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55949\/14 + 4004. What is the common denominator of -12 - -14 - (-1560)\/1008 and w?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34941045 divided by -6988209\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11346.132 months in years?\nAnswer: 945.511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 950?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 17*m + 7*m)*(-3 + 1 + 1 + (2 + 2 - 3)*(1 + 4 + 16)) + 0*m + 2*m + 0*m.\nAnswer: 482*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13176250 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: What is the least common multiple of 4092 and 5291?\nAnswer: 1968252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24348590 and 3060.\nAnswer: 438274620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1243*b**3*j*n + 110*b**3*n - 11*b*j*n - 4*b*j + b*n - 2*j*n - 34*j wrt b?\nAnswer: -7458*b*j*n + 660*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (-51)\/(-4) - 19\/4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 19. Let u be n(-17). Which is the nearest to 6\/7? (a) u (b) 46 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/234*4*1\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 6, 3, 1, 420 in decreasing order.\nAnswer: 420, 6, 3, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 256442879*w**3 + 7889484*w**2 - w wrt w.\nAnswer: 1538657274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2080 - -10361\/5. Let k = -2 + -6. Let s = u - k. Which is greater: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 14*v - 17. Let m(c) = -7 - 2 + 3 + 5*c. Let b(d) = -6*l(d) + 17*m(d). Let f(j) = -7*j. Give b(f(q)).\nAnswer: -7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159348*4.\nAnswer: -637392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 288*k**2 - 2*k. Let y be p(-2). Suppose -3*h - 12*t = -13*t - 1762, 2*h = -4*t + y. Does 10 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -934777, -934872, -935031, -935254, -935541?\n\"Answer: -32*z**2 + z - 934746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1432 + 1435. Let t = 0.39 + 0.01. Which is the closest to -1? (a) 1\/6 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -18. Put t, -5, 3 in ascending order.\nAnswer: -5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 25*x - 13. Let u(y) = -y - 7. Let c(b) = -2*u(b) + v(b). Calculate c(-1).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 177578.\nAnswer: -48\/88789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1134*u + 1785. What is the units digit of x(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 6*m**2 + 15*m - 6. Let a(j) = 7*j**2 + 18*j - 8. Let g(f) = 5*a(f) - 6*h(f). Let x(y) = y + 16. Let s be x(-9). Let r be 2\/s + 4\/(-14). Give g(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1211618758 to the nearest integer?\nAnswer: 34808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440400 rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0*z**(3\/8) assuming z is positive.\nAnswer: z**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*v = -1 - 10, -4*v + 7 = r. Solve 0 = -c + 2*b - 9, c + r*c + 21 = 5*b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*f + 96 = -66*f. Solve -4*t + 2*o = 7*o - f, 0 = -t - 2*o + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1551, -6, 1.\nAnswer: -1551, -6, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -31. Let r = q + -29. Let o(w) = -61*w**3 - w**2 - 3*w - 2. What is the units digit of o(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (218\/4)\/(1\/14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 c when three letters picked without replacement from {p: 2, c: 2, i: 11}?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1232 smaller than -1234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.0178 - -48.9122. Let r = 0.07 + b. Let o = 49.9 - r. Sort -2, 1\/4, o in ascending order.\nAnswer: -2, o, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 - 17092*g - 5818800.\nAnswer: -4*(g + 373)*(g + 3900)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, r: 2, s: 2, k: 1, b: 1, m: 1}. Give prob of picking 1 m, 1 t, 1 r, and 1 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*v**5 + 12935*v**4 - 49680*v**3 - 133435*v**2 + 29460*v + 1700 = 0.\nAnswer: -34, -2, -1\/21, 1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131375703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158743544.\nAnswer: 2, 137, 144839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2641 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181379064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7300, 7312, 7336, 7378, 7444, 7540?\n\"Answer: p**3 + 5*p + 7294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 + 16*l + 6 + 402*l.\nAnswer: 418*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - -2*(sqrt(931) + 2) - (3 + sqrt(931) + -2)) + 1*(2 + (sqrt(931) - (sqrt(931) + 1)) + (sqrt(931) + 2*sqrt(931))*-2) + -5)**2.\nAnswer: 56*sqrt(19) + 14897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**3 - 7601*d**2\/4 + 24671*d\/4 - 9485\/2 = 0.\nAnswer: 5\/4, 2, 1897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 632297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a = 10211 - 65189. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 770\/45*(-16)\/28 + 10.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-8)*y)*y**22\/y assuming y is positive.\nAnswer: y**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (57\/(-4))\/((-566)\/280 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 3*n**2 - 1. Let r be u(2). Let g(p) = -p - 3 + r + 2*p. Give g(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + -12?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -3\/4*l**4 - 11\/3*l**3 - 13*l - 3\/2*l**2 - 19. Is v(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -348, -2, -141 in ascending order.\nAnswer: -348, -141, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3125 + 25334?\nAnswer: 32503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 929 = -194. Suppose -4*j - 716 = -4*b, b + j = g + 32. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 615, 1642, 2967, 4590, 6511, 8730, 11247?\nAnswer: 14062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10488\/88 + 2\/33*-3. Suppose -j = -4*y + t, y = -2*y + j + 88. Suppose -2*b + b + y = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80\/3563 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 16) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -184170382 and -4.\nAnswer: 736681528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/x**(-3)*x*x)\/x*x)*x)\/x**(-2))\/((x**(-2\/13)*x)\/(x\/(x*x\/(x\/(x*x**(2\/11)))))) assuming x is positive.\nAnswer: x**(-576\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -59 - -68. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-nine fifths of a decade?\nAnswer: 696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 310 - 298 = 0, 1726 = 4*j - 2*q. Solve -16 = 435*m - j*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 7*m**3 + 5273*m**4 + 13*m**3 - 5274*m**4 - 3*m**3 + 124*m**2 to the form h + l*m + v*m**2 + t*m**3 + q*m**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 504?\nAnswer: -1\/252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 + 21*i - 14. What is c(10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*x - 125 = 0, -y + 4*x = -154 + 35. What is the highest common divisor of 15 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -289*t + 301*t + 84 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 463*k - 8427. Calculate i(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 n when three letters picked without replacement from {i: 2, n: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105083, -102210, -99339, -96470, -93603, -90738?\nAnswer: -87875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7856000 divided by -98200\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 14.84. Which is the fourth biggest value? (a) 1\/4 (b) 3 (c) -1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millennium in months?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-8)*-1)\/((-2646)\/2352). Put 2\/13, 1, g, 2\/5 in descending order.\nAnswer: 1, 2\/5, g, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**9\/7560 - f**8\/480 + f**7\/84 - f**6\/40 - 35*f**4\/6 - f + 28. Let i(a) be the third derivative of t(a). Factor i(k).\nAnswer: 2*k*(k - 3)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 11:21 PM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 - 156*v**2 - 837*v - 1026 = 0. Calculate v.\nAnswer: -3, -2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -v**6\/6 + v**5 - 5*v**4\/2 + 10*v**3\/3 - 5*v**2\/2 - 32*v. Factor c(a).\nAnswer: -5*(a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1454 (b) -3 (c) -4 (d) 5 (e) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 - -30) + (-3 - -2) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -676905245*u**3 + 511992261*u**2 wrt u.\nAnswer: -4061431470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, h: 2, z: 3, b: 6, k: 1, i: 4}. Give prob of picking 1 k and 1 x.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -7*k**2 - k**5 + 5*k**4 + 8*k**2 - 6*k**2 - 6*k + 67*k**3 - 60*k**3 = 0?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 1963*b**8\/336 + 737*b**5\/30 - 5*b**2 - b. Find the third derivative of n(a) wrt a.\nAnswer: 117780*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 15*h - 18. Does 27 divide i(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -55515.27 and -1029?\nAnswer: 54486.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1014)\/(-9) + 2\/(-3). Let n = f + -6. Suppose n = -c + 3*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 3. Let c(v) = -3*v - 147. Let m be c(-48). Let g be m\/2*164\/(-123). Give i(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**2\/3 + 193600*b - 1161608\/3 = 0.\nAnswer: -290402, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-10))\/(1\/(-20)). Let j(u) = 2*u - 9. What is the remainder when 13 is divided by j(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l + 8. Let m(o) = -4*o - 4. Let b(q) = 5*m(q) + 3*y(q). Let p be b(0). Suppose 5*r - 63 = 4*f, 5*r - p*r - 1 = -5*f. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 6. Let j be i(3). Suppose 0 = p + t - 3 + 1, 0 = j*t + 12. Let q be 3 + 7\/((-21)\/p). Solve -w + q = -0*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrv when three letters picked without replacement from evrreerorrrevvvv.\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*m = -24, -5*h = 2*m - 7*m - 80. Suppose 0 = 5*k, 0*k + 2*k = 2*t + 8. Let u be 17\/2 + 2\/t. Calculate the highest common factor of h and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38305, -38303, -38299, -38293?\nAnswer: -38285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 9) to base 4.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 8 - -8 - 7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85829599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 7:48 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzthhhhhhhzthhthth. What is prob of sequence zth?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - v - 3. Let u(x) = -x**3 - 9*x**2. Let n be u(-9). Determine a(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.73 - -13281\nAnswer: 13280.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(5 + (sqrt(1008) - (sqrt(1008) + (sqrt(1008) - (1 + sqrt(1008))) + 0) - (sqrt(1008) - (-3 + 2*sqrt(1008)))) + 1))**2.\nAnswer: 7200*sqrt(7) + 76800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**5\/70 - 2*p**4 + 57*p**3\/7 - 86*p**2\/7 - 2056*p. Factor r(x).\nAnswer: -2*(x - 1)**2*(x + 86)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 169*u**5\/5 + u**3\/2 - 151*u**2\/2 + 18*u + 4. Find the second derivative of d(y) wrt y.\nAnswer: 4056*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*j = 34401 - 16766 + 29726 + 38391 for j.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 1014*v - 6143. Calculate a(6).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, b: 9, m: 4}. Give prob of picking 2 u and 1 m.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60232, -120292, -180182, -239902, -299452, -358832?\nAnswer: -418042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 550?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19856.2989 + -19855. What is z rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(396) + 2)*-3*-1)**2 + sqrt(396) + -2 + (sqrt(396) - 3*sqrt(396)) + (sqrt(396) + -3 - sqrt(396)) + -4.\nAnswer: -222*sqrt(11) + 3591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/15*12\/8. What is the second derivative of -7*x**5 - 3*x**5 - 3*x**r - 6*x**5 + 11*x wrt x?\nAnswer: -380*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/42)\/(6\/(-175)). Let k = 29\/6 - y. What is the third biggest value in k, 2, 1, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wjwswjkkwwww. What is prob of sequence swkw?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 683756 divided by 4?\nAnswer: 170939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.9 + -52.1. Let i = j - -57.016. Let f = 3.856 - i. Round f to 1 decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(832) - (sqrt(832) + sqrt(832)*1 + 5 + sqrt(832) - sqrt(832))))**2.\nAnswer: 720*sqrt(13) + 7713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(3)*-1 + sqrt(135)\/(sqrt(9) + sqrt(144)))\/(-3*1*sqrt(245)) + -4.\nAnswer: -4 + 4*sqrt(3)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 - 25)*(6*n + 10*n + 4*n).\nAnswer: -640*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (0 - -8) + -7 - -9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - o)*(-o**2 + 2*o**2 - 2*o**2)*(4 + 2 - 4).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1, 5, 15, 31?\n\"Answer: 3*m**2 - 5*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2913*c**2*h**4 + c**2*h**2 - 1749195*c**2 + 22405*h**4 wrt h.\nAnswer: 69912*c**2*h + 537720*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -141\/700 and 149\/42.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36880, 73727, 110572, 147415, 184256, 221095, 257932?\nAnswer: 294767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8.8, 4.8, 2, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 183171120 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10645 (base 7) to base 9\nAnswer: 3661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = b - 25. Suppose 0 = b*n - 25. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (57470\/245)\/((-8)\/(-28)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/2923701 and -149\/531582.\nAnswer: 5847402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o - 3. Suppose -4*u + 9 = -p - 3, -2*u = -2*p. Let j be g(p). Calculate the highest common factor of j and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = c - 4*g, 4*c + 1350*g - 1348*g - 12 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 27.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 500408*m + 15650510404.\nAnswer: 4*(m + 62551)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c1 (base 13) to base 7.\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:40 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36 or 77.2?\nAnswer: 77.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10*k**2 - 15. Let w(o) = -18*o**2 - 31. What is -5*i(t) + 2*w(t)?\nAnswer: 14*t**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -2, 2\/9, -103, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 7 - 10 - 7*s - 3. Let i be p(-6). Solve -5*c + 24 = -i*c - 3*t, 5*c - 5*t - 30 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -18.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w + 4 = 0. Solve -1 = 2*y + w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 5*o - 68. Let d(f) = 2*f - 23. Suppose -4*i - 29 = -n, 2*n + 3 - 22 = -5*i. Let c(j) = n*d(j) - 6*y(j). List the prime factors of c(7).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 - 3*v**3 + 3*v**3)*(-1 + 2 + 0)*(-71 - 222 + 68).\nAnswer: -450*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (18\/36)\/((-1)\/(-10)). What is the third derivative of 103 + 46*a**5 - 21*a**5 + 18*a**x - a**2 wrt a?\nAnswer: 2580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 31 + 49 = 0. Solve -17 = -5*c + 4*i, -x - 5 = -c - 5*i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - 1077 = -13*w + 914 - 752 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2176160 rounded to the nearest 1000?\nAnswer: 2176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 141?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {x: 4, t: 1, f: 2, c: 2, y: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1763.8 minus -2903.666?\nAnswer: 4667.466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -39*r - 160 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372792655.\nAnswer: 5, 61, 1222271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2203 - -135402?\nAnswer: 133155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3701903?\nAnswer: 17, 19, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(152) + sqrt(152) + sqrt(152))*1 - sqrt(152)) + (sqrt(152)*-1 - sqrt(152))*6)\/(sqrt(56)\/((sqrt(175) - 1*sqrt(175)) + sqrt(175)))*-4.\nAnswer: 260*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-99))\/(3*(-4)\/18)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 0*z + 2*z + 1. Let a be k(3). Let h(m) = -m**3 + 6*m**2 - 3*m + 4. Is h(a) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -2 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*b*d**2 - 9*b*d*t**2 + 176*b*t**2 - 39*d**2*t**2 + d**2 + 5*d*t + d + 9*t**2 wrt b.\nAnswer: -24*d**2 - 9*d*t**2 + 176*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2155 - 1583. What is the greatest common factor of 78 and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-179*f + 179*f + 27*f**3)*(f + f - 3*f) + (5*f**3 - f**3 - 2*f**3)*(0*f + f + 0*f).\nAnswer: -25*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7 + -12)*(-1 - 710). Suppose -6*u = 237 - n. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6*((-12)\/21)\/((-32)\/20496). Solve 52 = 10*z + t for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}