diff --git "a/data/dm_maths/full_data_2/10483_11255.jsonl" "b/data/dm_maths/full_data_2/10483_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10483_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let m(q) be the first derivative of q**2\/2 - 210. Let j = 10 + -5. Let x(n) = n - j*n + 7*n - n. Determine x(m(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.2, -0.2, -381?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-13)\/39)\/(2\/18))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-280))\/(33\/110)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2. Let s be (-8 - -7)\/(2\/(-6)). Let t = 4 - s. Let m(h) = -2 - t - 2*h**2 + 3. What is j(m(z))?\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*u**2 - 387*u + 196*u + 191*u - 551*u**2 + 280*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183625 - 183625 - 3*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105807844*k**2*y**3 - 2*k**2*y**2 - k*y**3 + 341558014 wrt k?\nAnswer: -211615688*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -12 - 3. Suppose -q*r = -37 - 8. Let h(s) = -s**3 + s**2 + 3*s + 1. Calculate the remainder when h(-3) is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -110031?\nAnswer: 110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/11 - 2181*j\/11 + 61852\/11 = 0. Calculate j.\nAnswer: -2209, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12136361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12257 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3\/4, -30?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22788 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1413 + -1434. Is j smaller than -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642196399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 412, 404, 396, 388?\n\"Answer: -8*t + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 414 and 25740243.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -9924*c + 9926*c + 8 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2782*m = -2707*m + 3300 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2. Let x(o) = 6*o + 6. Let n(z) = -z**2 - 11*z - 11. Suppose 5*h - 5 - 5 = 0. Let l = h - -4. Let f(a) = l*n(a) + 11*x(a). Give d(f(q)).\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 38 times 0.0398\nAnswer: 1.5124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 68*i**3 - i - 67*i**3 + 0*i**2 - 1. Let l be h(-1). Let m = -2 + l. Let q(d) = d + 2. What is q(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3663 = -3*m - 3705 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5}. What is prob of picking 4 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(7)*6 + (-2*sqrt(7)*1)**2.\nAnswer: -12*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 37305.\nAnswer: 186525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - 25*a + 220 = 0. What is the highest common factor of 22 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11343762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 272669832.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2506\/87710)\/((-39)\/35)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + (sqrt(110) - (-6*-1*sqrt(110) + sqrt(110))))\/sqrt(2)*-5)\/(sqrt(20)*-3 + sqrt(45)*5).\nAnswer: 25*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(245) + 0 + sqrt(245))*-4 + -1)**2 + -2 + (-3*(-1 + sqrt(245)) - sqrt(245))**2)*-2.\nAnswer: -672*sqrt(5) + 235296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, l: 1, k: 1}. Give prob of picking 1 l and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 26906393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**4 - 2252*w**3 + 39300*w**2 - 32564*w - 74120 = 0.\nAnswer: -1, 2, 17, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/680 and -58\/185725?\nAnswer: 1485800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 950 and 20994650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2 = 3*q - x, 4*q - 9 = -5*x. Suppose -2*f + 5 = q. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -15) + -6 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2582, -8148, -13726, -19316, -24918?\n\"Answer: -6*c**2 - 5548*c + 2972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + (((-4*sqrt(152)*-3 - sqrt(152)) + sqrt(152) - sqrt(152)) + sqrt(152) - sqrt(152)))\/sqrt(8))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(325))*-4 - (2*sqrt(26)*-2)\/sqrt(2)) + -2)**2.\nAnswer: -64*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 20. Suppose -3*s = s - 56. Calculate the highest common factor of q and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17825324 divided by -82.\nAnswer: 217382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84056.\nAnswer: 2, 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.2 - 14.69. Let w = -945.06 - -948. Let f = w - h. What is f rounded to one dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by -2.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33944 or 33945?\nAnswer: 33945","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7635?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 19*z + 3. Let o(m) = -4*m**2 + 59*m - 9. Let p(y) = -2*o(y) - 7*w(y). What is p(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**4\/4 - f**3\/3 + 3*f**2\/2 + 2*f - 4. Let y be o(-2). Solve -4*n = -4*t - 12, 5*t + n - 3 = -y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51578423?\nAnswer: 13, 3967571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -l**4\/4 + 8*l**3\/3 - 18*l - 6686. Determine m(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13497022 and 154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 0 + 1)*(-5*p**3 - 20 + 20)*(-15 + 15 + 5*p**2).\nAnswer: 225*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 - 4946*w**2 + 4970*w**2 + 3*w**3 + 11*w**3 - 3*w**3 to the form d*w + m*w**2 + k + f*w**3 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*a - 3 + (-4*a - a - 2*a)*(3 + 1 + 3))*(-656 + 3*a + 656).\nAnswer: -153*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2333*c**2 + 6*c - 1358. Let p(i) = -6997*i**2 + 17*i - 4080. Let w(m) = 6*p(m) - 17*q(m). Find the first derivative of w(o) wrt o.\nAnswer: -4642*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*q + 42*q - 88*q - 18 + 18.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*u - 4339 = 1781 - 30818. What is the remainder when u is divided by 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369 = 10*f + 22*f - 5*y, -6*y + 6*y + 1 + 11 = 2*f - 4*y for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4\/3 (b) 1\/156 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - 1 - (88\/(-8) + 6). Let p be (-10)\/(-50) + 38\/k. Solve -p*f = -4*r, 5 + 11 = -3*r - 5*f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31 and -1506?\nAnswer: -46686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.3 (c) -36 (d) 2 (e) 1\/4 (f) -200\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 11*r**3 + 60*r**2 - 126*r + 3. What is j(2)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 + (5 - 29) - (1 + -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/6 and 101\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7449683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/5, 129523, -2\/51, -3, 4, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 8. Let y(d) = -4*d + 15. Give -7*b(c) + 4*y(c).\nAnswer: -2*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6571 is divided by 332?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**1*b*b)\/b)\/b*b**(-1\/3))\/((b**3\/b)\/b**(-5\/6))*(((b*b**(-3)*b*b)\/b)\/(b*b**7))**(-48) assuming b is positive.\nAnswer: b**(2579\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 + 1940*k\/9 - 17248.\nAnswer: -2*(k - 882)*(k - 88)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5995524 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -4 + (25 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of 0*g + 0 - 1\/15*g**5 - 65\/6*g**3 + 0*g**4 - 110*g**2. Differentiate a(t) with respect to t.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1012633, 2025253, 3037863, 4050463, 5063053, 6075633, 7088203?\nAnswer: 8100763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 700552?\nAnswer: 2, 67, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q**5\/11 + 122*q**4\/11 - 50*q**3\/11 - 122*q**2\/11 + 36*q\/11 = 0.\nAnswer: -9, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from lyyxwxywywwwwwwwwyw?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**7\/(r*r\/(r\/(r*r\/((r*r**(4\/7))\/r)*r*r))))**(-46))**14 assuming r is positive.\nAnswer: r**(-1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 49 and 116254.\nAnswer: 116303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 702310 to the power of 1\/2, to the nearest integer?\nAnswer: 838","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4127 or -4129?\nAnswer: -4127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + -3 + 1 - 3. Let a = -17 - -28. Suppose 4*z - 93 - a = w. Calculate the remainder when z is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**3\/6 + 3*j**2\/2 - 6*j. Let q be u(-9). Let c = 13 - q. Which is smaller: -1\/4 or c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236854?\nAnswer: 2, 19, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a century?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 876 by 3.\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 2*f + 11. Let n be s(0). Let d = 10 - n. Sort -22, -3, -4, d in ascending order.\nAnswer: -22, -4, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-6)*27\/(-18). Suppose j*i + 4 + 4 = 0. Sort i, 1, -5.\nAnswer: -5, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15.4 - 15. Let s = -0.3 + k. Let w = -0.1 - s. Which is the second biggest value? (a) w (b) -0.3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - -38. Suppose 0 = -16*x + 15*x + 13. Calculate the highest common divisor of m and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus 36749?\nAnswer: 36749.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153722 and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**6\/15 - f**5\/10 - 7*f**4\/2 + f**3\/3 + 20*f**2 - 126*f. What is o in q(o) = 0?\nAnswer: -4, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**(-34)*p)\/p*p))**(1\/2)\/(p**17)**(-4\/7) assuming p is positive.\nAnswer: p**(187\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-286)\/(-910) - (-10)\/35. Sort -1, q, -2\/13, -7.\nAnswer: -7, -1, -2\/13, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78283610?\nAnswer: 2, 5, 19, 412019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-140)*(4 + -2 - 4). Which is the closest to 4? (a) -1\/2 (b) -2\/23 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 11:56 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-1 + 6) - (11 - 6 - 7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -59. Let h = f + -32.00013. What is h rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1348480357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 724960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5215915846?\nAnswer: 2, 73, 35725451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 + 4 - (-6 + 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-45) + (-2)\/9. Find b, given that 3*b**5 - 5*b**5 + 5*b**4 - 4*b**2 + 2*b - b**4 + z*b**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/3036 and 73\/594.\nAnswer: 27324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -18419.\nAnswer: -18419, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3.0624 and 825.75.\nAnswer: 828.8124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26*4774\/(-2002)*(-1)\/2?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 3 - (-1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 8)\/(2 + 21*(-1)\/9). Let t(y) = 4*y + 13. Let h(a) = -9*a - 26. What is d*h(w) - 7*t(w)?\nAnswer: -w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/2120 and -57\/371.\nAnswer: 14840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/9 (b) -36 (c) -0.4 (d) 0 (e) -1\/146 (f) -13\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 18667*n - 978. Is 135 a factor of v(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -1896*t + 1902*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46 + 48*o**2 + 20*o**3 - 11*o + 38 + 55*o + 2*o**4 + 22.\nAnswer: 2*(o + 1)**3*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 731090 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.01 + -0.01. Let j = -99 + 98.8. What is the closest to j in -2\/7, 0, l?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 5*n + 30, m = 4*m + 3*n - 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0 + 14 = 0. Calculate the remainder when s is divided by ((-18)\/(-24))\/(2\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -51?\nAnswer: 50.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 2)*(2 - 9 - 1)*(-3*r - 2 + 2) to p + m*r and give m.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 - 2*f)*(2 - 2*f - 2) - f**2 + 3*f**2 + f**2 + 5 - f**2 - 5)*(-5*f**2 + 0*f**2 + 3*f**2) as g + v*f + i*f**2 + a*f**3 + j*f**4 and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.657547 minutes in seconds?\nAnswer: 579.45282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 = 10*c + 37. Is 12 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9869 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0.1. Let c = -7\/12 - -4\/3. Sort c, v, 2\/19 in descending order.\nAnswer: c, 2\/19, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 b when four letters picked without replacement from kkekeebkkkekkkbekkk?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 + -130. Let d(s) = 14*s**2 - 45*s - 43. Is d(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27 * -3060.\nAnswer: 826.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i. Let c(a) = -a**2 + 85*a. What is q(c(r))?\nAnswer: -7*r**2 + 595*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) + (-7)\/((-630)\/24). Determine y so that -t*y**3 + 2\/3*y**2 + 0*y + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*b = -72*b + r + 6, 3*b + 5*r = -14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 2, a: 1, e: 1, x: 2}. Give prob of picking 1 e and 1 c.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -34. Let b(i) = 152*i**3 + 6*i**2 + 9*i + 4. Let g(o) = -o**3 - o**2 - o - 1. Let c(p) = w*g(p) + b(p). What is the tens digit of c(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 740 a factor of 364173980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Let q(n) = 2*n**3 + 57*n**2 - 32*n - 89. Let k be q(-29). Sort v, -3, 3, k in ascending order.\nAnswer: -3, k, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 2*y**4\/3 + y**3\/2 - 3*y**2 + y. Let g be 5 + -2 + 8\/4. Let b be o(g). 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: Let x(s) be the third derivative of s**6\/120 - s**5\/15 + s**4\/12 + s**3\/2 - 12*s**2 + 1021. Let o(a) = -a**2 - 7*a - 3. Let w be o(-6). Give x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w**4 + w**3 + 13860*w + 34968 wrt w.\nAnswer: 8*w**3 + 3*w**2 + 13860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xppxpppxxx. What is prob of picking 1 x and 1 p?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -4526\/6967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 + 96*f**3 + 68)*(0 + 1 + 2)*(f**2 - f**2 - 4*f**2)*(2 + 1 + 0).\nAnswer: -3456*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55482 divided by -6.\nAnswer: -9247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 11*z**2 - 11. Let i(h) = 5*h**2 - 5. Let p(b) = 6*c(b) - 13*i(b). Calculate the smallest common multiple of p(-3) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/5 or -2?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29590.\nAnswer: 2, 5, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118.8 - -139. Let w = a + -22. Let h = -20.2 + w. Which is smaller: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 394.320439 and -4.\nAnswer: -1577.281756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 935*j**2 + 1145*j**3 - 1878*j**2 + 943*j**2.\nAnswer: 1145*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 42*d - 107. Let r be i(35). Round r to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4519.\nAnswer: 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15151622, 15151614, 15151606, 15151598?\n\"Answer: -8*c + 15151630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.082, -1, -4, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i*i)**(8\/5)\/(i\/i**(4\/7)*i**(1\/7)) assuming i is positive.\nAnswer: i**(36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 7, -411 in descending order.\nAnswer: 7, 3, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3330 (base 7) to base 16\nAnswer: 4ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**10)**(2\/93)*b**(-11)\/b*b*b*b**(-10) assuming b is positive.\nAnswer: b**(-1838\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*s + 105 = 0, 5*q - 65 = 8*s - 3*s. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86407.3791 nanoseconds to weeks.\nAnswer: 0.00000000014286934375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 3 - 26*p + 35*p - 24 + 66*p.\nAnswer: 75*p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 48. Let p be 60*(2 - (0 + 3))\/d. What is the highest common divisor of p and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114889323?\nAnswer: 3, 38296441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14 (b) -2\/15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyy when three letters picked without replacement from {h: 5, w: 1, l: 11, y: 2}?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13.34 - 1.14. Let a = m - 12. Which is smaller: 11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12.6, 1\/5, -3374, -2\/11 in decreasing order.\nAnswer: 12.6, 1\/5, -2\/11, -3374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 633525581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 507*o. Let j(f) = -37*f + 3 + 74*f - 3 - 35*f. Calculate h(j(b)).\nAnswer: 1014*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = z - 321, -7*a = -5*a - 10. Suppose -4*m + 3175 + z = 0. List the prime factors of m.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*h = 364, 0 = -4*h - 0*h. Is (39 - 44)*p\/5 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9642*z + 9760*z - 9164 - 1774 - 272 for z.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 313 and 3003548?\nAnswer: 3003548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 348*o + 3614 = 57*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.59 rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -48.3, -3\/4, -5 in ascending order.\nAnswer: -48.3, -5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1528170 * -90\nAnswer: -137535300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294 and 16200498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*s**2 + 91*s**2 - 224*s**2.\nAnswer: -47*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 314*g**2 - 22 + 22 + 102*g**2 in the form o + k*g + m*g**2 and give m.\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 20*q + 0 - 5*q**2 + 3 + 3*q**2. Let m be j(10). Suppose 56 = m*u - 49. What is the remainder when 104 is divided by u?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 26646*k + 3064. Is w(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*c = -5*v + 521, 0 = 3*v - 4*c - 1543. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2 - 4*p - 5. Let v(m) = 5*m**2 + 5*m + 6. Determine 3*v(f) + 4*x(f).\nAnswer: -9*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -3*k + 12, 5*z - 4*z = 3. Let s be (-6)\/(-1)*(-3)\/(-6). Suppose -25 = s*q - 127. Solve 9 = k*o + q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 212\/18 - (172\/36 - 5). Let m = -13 + s. Let j(i) = 5*i**2 + 2*i + 1. What is j(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {u: 1, w: 2, c: 3, i: 4, h: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224274963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y + 24. What is s(0)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -302, -280, -244, -194, -130, -52, 40?\n\"Answer: 7*u**2 + u - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*z + 7 - 7)*(-2*z + 2 - 2) + 2*z**2 + 2*z**2 - 3*z**2)*(-18 + 18 + z**2) as w + m*z**4 + f*z**3 + q*z + y*z**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 x, and 1 g when three letters picked without replacement from ixuggxgiigi?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {r: 11, o: 4, q: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2834587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 + -336. Let v = 156 + g. Let c = -34 - v. Calculate the highest common factor of c and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2512*z**2 - 4*z + 5. Is q(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -5, 194, -11, 2\/7, -1\/82?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q. Suppose 5*v = 4*m + 7, 2*m + 0*m + 5*v = 19. Let c be u(m). Calculate the greatest common divisor of c and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 26 = -3*o, -412*t + 32*o - 144 = -407*t for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 + 5*a - 167. Let d(v) = -10*v**2 + 12*v - 332. Let y(s) = 2*d(s) - 5*j(s). List the prime factors of y(13).\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -29*v - 80. Suppose 64*u = 67*u - 3. Put u, -5, v in descending order.\nAnswer: u, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 2*q**5 - 2*q**2 + (2*q - 2*q - 2*q)*(3*q**3 + 2*q**4 - 3*q**3) - 5*q**5 + 8 - 8.\nAnswer: -11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75 + -73.6. What is the third smallest value in h, -5, 2\/11, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -16.5072?\nAnswer: 1.815792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**6\/45 - b**4\/6 + 8*b**3\/3 - 2*b**2 - 4. Let n(v) be the third derivative of o(v). Let s(r) = -2*r**2. Calculate s(n(t)).\nAnswer: -128*t**4 + 128*t**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(117) - sqrt(117)*-1) + (sqrt(117) - (sqrt(117) + -4*(sqrt(117) - sqrt(117)*-2) - sqrt(117))))\/(-4*1*sqrt(729)))**2.\nAnswer: 637\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19294622128261*y - 19294622128261*y - y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 70227337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-7 - (-1 + -21))) + 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -4*c - 2*a, 4*a = 12. Let d(x) = -x**3 - 2*x**2 + x - 3. Let h be d(-3). Let f = h + c. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 10*d**2 - 10*d - 18. What is the least common multiple of 42 and u(-2)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 929485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567 is divided by 1228?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002120 + -112?\nAnswer: -1010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 20 + 8. Let g be 2\/7 + 208\/(-91). Let v = 1 - g. What is the remainder when l is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2 = -1, -5*w + 15 = 3*j. Let h = -3824 - -3826. Put h, 4, 3, j in ascending order.\nAnswer: j, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -218*i**3 + 74*i**3 + 398*i**3 + 4*i**3 - i**3 + 0*i**3 + (2*i**2 + 3*i**2 - 3*i**2)*(0 + i + 0) + 0*i**3 + i**3 + 3*i**3.\nAnswer: 263*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -348, -532, -692, -816, -892, -908, -852?\n\"Answer: 2*o**3 - 198*o - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18.884 * -0.4\nAnswer: -7.5536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3985286353 to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 + l**2 + l**2)*(0*l**2 + l**2 + 0*l**2 + (-3*l - 11*l + 5*l)*(0 + 0 - 4*l)) in the form q + v*l**4 + x*l**2 + d*l**3 + f*l and give v.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*(3 + sqrt(1100) + 0 + -5*(sqrt(1100) + -2)) + 4.\nAnswer: -120*sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 168311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27754 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 p when three letters picked without replacement from {q: 2, i: 5, p: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 5:18 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 - -2.9. What is the nearest to d in 3\/8, 1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3 (b) -0.03 (c) -11 (d) 5 (e) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/5346689 + -828740323\/9431559396. What is the common denominator of 101\/16 and m?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = c, 7*c = 7*c - c + 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -405.426 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by -31?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22795814 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 70239818 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 120\/48*(-1)\/(-5)*90. Let d = c + 389. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 845 by -169.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 3\/5 (c) -4\/7 (d) -50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-7))\/(2169\/(-1205))*(-3)\/(-25)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -2.9. Let s = 1 - -1. What is the closest to -0.1 in s, 2\/3, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2205*k**3 - 9*k**2 + 2. List the prime factors of j(3).\nAnswer: 2, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-25)\/i**(-17)*(i**(-6\/11))**(4\/11) assuming i is positive.\nAnswer: i**(-992\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, o: 3}. What is prob of sequence bo?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -16. Suppose 0 = 2*u - 3*p - 8, 2*p + 0*p = 2*u - r. Let k = -3159 - -22115\/7. Is u smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 5 (b) 52 (c) -7 (d) 10 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/3*(4 + -3)\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1667340 and 270.\nAnswer: 5002020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 46*q + 5232. Determine b(-124).\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + 4. Is 17 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -0 + 4. What is the common denominator of (155\/20 - 8)\/(3\/82) and -65*2\/(-16) + f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -31, 0, 3 in increasing order.\nAnswer: -31, -7, -3, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19779 is divided by 220.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a meter in millimeters?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11280 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1313703297, 2627406593, 3941109887, 5254813179, 6568516469, 7882219757, 9195923043?\nAnswer: 10509626327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 444936 divided by 222468?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 620988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -48815.82 times -8\nAnswer: 390526.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -4*c - 3*y, -c + 5*y + 25 = -0*c. Let p(i) = 2*i**2 + c - 5*i - 17 - 5 - 15. List the prime factors of p(7).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -949*w + 11615 - 31804 + 20187.\nAnswer: -949*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 79683 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 - 13 = 0. Suppose 28 = 5*r - 5*z - 2, h = -5*r - 4*z. Solve m = -m - r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4242 divided by -202.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 1 + 6 - 4 - 4 + 4 + j**3. Let f(k) = k**3 + 5. Determine 3*f(a) - 5*x(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 4) to base 3.\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -31. Let p = -18 - i. Which is the second smallest value? (a) 4 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 190 = -5*x - 3*d, -d + 3 = 0. Put 1, -5, x in decreasing order.\nAnswer: x, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5172 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: What is the remainder when 1091 is divided by 185?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*t - 208*t = 432 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**4 + 12*u**4 + 7*u**4)*(2*u - 1 - 3*u - 1).\nAnswer: -23*u**5 - 46*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4107247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 271*u**2 + 2 + 145*u**2 - 125*u**2 + 5*u**2 - 3*u**2 - 4*u**2 + (3*u - 5*u + u)*(0*u + 0*u + 2*u) as z + c*u + m*u**2 and give m.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2754*p + 112907. Give f(41).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.438 minus -0.0811?\nAnswer: -10.3569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*y**2 + 24*y - 12 = 0. What is y?\nAnswer: 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.4, -2\/75, 5\/7, -19\/27, -4, 3?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*r**4 - 4*r**3 + 91*r - 3 wrt r.\nAnswer: 228*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) -2 (c) -8 (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.17 at most as big as -1\/1873?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 equal to 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313664117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1428157 + -8549233\/6. Let b = z - 3292. Find the common denominator of b and 43\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 0 - 1\/12*i**5 + 1\/120*i**6 + 1\/24*i**4 + 2\/3*i**3 + 0*i - 5*i**2. What is x(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 8*r**2 + 12*r + 8. Suppose -7*u + 8 = -6*u. Let n = -1 + u. Does 19 divide j(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 207483 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -4*c**3 + 8*c - 8. Let t(a) = 3 - a + 2*a**3 - 2*a - a**3. Let w be (-5)\/((-5)\/(-2))*(-12)\/(-8). Give w*r(m) - 8*t(m).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*x - 20. Suppose -2*s + x = -3. What is the units digit of s\/(-14) + 2508\/154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1760, 2118, 2486, 2870, 3276?\nAnswer: 3710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 j when four letters picked without replacement from {j: 2, b: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -32*k**2 - 32*k**2 - 35*k**2 + 88*k**2. Let d(u) = -31*u**2. Calculate o(d(i)).\nAnswer: -10571*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -72. What is the remainder when p is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1872.121 + -1873. Let c = 0.879393 + k. Round c to 5 dps.\nAnswer: 0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4\/3, 6, -3.\nAnswer: -3, -0.3, 4\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 5*p - 231 = -0*p, 426*v - 233 = 430*v + 5*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(40)\/sqrt(4)) + sqrt(275)*1)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 + 76 = -55*n - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-5))\/(((-88)\/440)\/((-1)\/3))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -357*f**2 + 17*f - 68. Let j(x) = 45*x**2 - 2*x + 8. Let k(b) = -51*j(b) - 6*o(b). Let y(c) = 4*c + 12. What is y(k(g))?\nAnswer: -612*g**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/234 - 50*(-2)\/26.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.184 - 694.816. Let i = -692 - o. Let g = 0 - -4. Which is the closest to -0.2? (a) g (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70958 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-12)*1)\/(1\/(-6)). Factor 1\/5 + 1\/5*x**4 - 4\/5*x + 6\/5*x**d - 4\/5*x**3.\nAnswer: (x - 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 14 (c) 1\/5 (d) -1\/3 (e) 0.3 (f) -3790\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - -1.3. Let u = 0.1 - 0.5. What is the third smallest value in s, -2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyrrrryyooyoryyro. What is prob of picking 2 y?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1693, -3384, -5075, -6766?\n\"Answer: -1691*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1301307kg in tonnes?\nAnswer: 0.0001301307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.03, 0.2, -1.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28178406080 + -0.109.\nAnswer: -28178406080.109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 10:07 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 16 = 6*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 - 611 = -21*m + 2*m for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p**2. Let a = 3 + -1. Suppose -5*s = 2*n - 329, -5*s + n + 319 = -a*n. Let g(z) = -s*z + 24*z + 35*z. Calculate g(u(c)).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4123549952 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one twentieth of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 6*r + r)*(11*r + 5*r - 8*r)*(118 + 11*r**2 - 118 + 0*r**2 - 5*r**2 - 2*r**2 - 2*r**2 + r**2 + 0*r**2 + (0 + 0 + 2*r)*(r + 2*r - r)).\nAnswer: -112*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5639993, 5639994, 5639995, 5639996?\n\"Answer: v + 5639992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x - 2040000 = 0. What is x rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**3 - 16*n**2 + 4*n - 12. What is the remainder when 57 is divided by b(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 27*v**2 - 34*v. Let a(o) = 27*o**2 - 35*o. Let d(i) = -2*a(i) + 3*w(i). Find the second derivative of d(y) wrt y.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 24075988*y. Let d(l) = -4*l. What is z(d(f))?\nAnswer: -96303952*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 + -2 + 26)*1 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859 is divided by 140.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k*k\/k**7*k*k)**(1\/25)\/(((k\/((k\/k**(-4\/7))\/k))\/k)\/k**(2\/3)) assuming k is positive.\nAnswer: k**(629\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -8*x**3 - 2*x**2 - x. Let m be u(-1). Let y be ((-4)\/3)\/(3\/(-9)). Suppose -2*g - 3*r + 2 = -34, -g + y*r = -m. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n + 14 = 0. Suppose -f = 3*s - n, 0 = 2*s + 4*f - 24 + 8. Solve -3*g - 4 = t, -3*t + s*g = -11 - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 - (3 + (-2 - 2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9}. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15\/4 - 4 - (-120)\/1248. Which is the closest to 2? (a) -0.4 (b) -1 (c) y (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 3)*(-n**2 + 2*n**2 + n**2)*(6921*n - 18392*n - 17432*n + 7406*n) in the form u*n + o + m*n**3 + v*n**2 and give m.\nAnswer: 42994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (4*sqrt(1700) - sqrt(1700) - sqrt(17)) + -5)**2 + ((5 + 0 + sqrt(1377))**2 - -5*(2 + sqrt(1377))).\nAnswer: -445*sqrt(17) + 15809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 11 + 21 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67337*s**4 - 332489*s.\nAnswer: 808044*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-90)\/(-54))*(-1)\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6ed - 43?\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cvv when three letters picked without replacement from vvtfvvvcctfvvv.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -3633, -2, 2 in ascending order.\nAnswer: -3633, -14, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598041487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - -40) + 9 + -5 + 2 + (-73 - 0).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1538.34 - -1524. Let o = v + -1.66. What is the second biggest value in 0.2, o, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**3 - q. Suppose 5*n + 2 = 7. Let z be x(n). Find the second derivative of -3*v**3 + 3*v**z + 3*v**3 + v wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aahlpblllhggl. Give prob of picking 2 a.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-2) + 0 - 397. Let m = 440 + r. What are the prime factors of m?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -11 - 7*x - 33 - 12. Let u be v(-7). Is -3 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 15. Let c = -1751 - -1747. What is the closest to 0 in c, 0.3, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**6\/150 - s**5\/100 - s**4\/10 + 101*s. Factor h(d).\nAnswer: d**2*(d - 3)*(d + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6081324 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-63)\/(-28))\/((-9)\/(-24)). Which is smaller: r or 7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -4 - -3)\/2. Suppose c = -x - 6*x - 35. Let d(n) = 2*n**2 - 5*n - 3. Let l be d(x). What is the highest common divisor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27798 = -2*c + 63*y - 61*y, -c - y + 13891 = 0. What are the prime factors of c?\nAnswer: 5, 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -9*j + 9. Let n(c) = 13*c - 13. Let o = -30 - -25. Let r be (-1)\/o - 12*(-6)\/15. Calculate r*n(h) + 7*u(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 460443367 to the nearest integer?\nAnswer: 21458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3 - 48009*g**2 - 11491200*g - 34041600 = 0. What is g?\nAnswer: -15760, -240, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 0.05 (b) -6 (c) 3 (d) 0 (e) 2119 (f) 2\/5 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(-35)*(r\/(r\/r**(6\/13)))\/r*r**12\/r assuming r is positive.\nAnswer: r**(-319\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -78511160 rounded to the nearest one hundred thousand?\nAnswer: -78500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 59 = -3*c - 19, 57 = 4*l + 3*c. Solve 0 = 6*p - 3*p + l for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1301581 + -112?\nAnswer: 1301468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least -1.837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2 = 2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**2 - 410260*l = 0. Calculate l.\nAnswer: 0, 82052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1299.958 and -5?\nAnswer: 1294.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -135473, -270954, -406439, -541928, -677421, -812918?\n\"Answer: -2*u**2 - 135475*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 10*w**2 - 11*w + 4. Let r be d(11). Let x be r - 4\/((-16)\/(-13)). Factor -1\/4*c**2 + x*c - 1\/2.\nAnswer: -(c - 2)*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h - 2. Let x(t) = 18*t + 46200. What is x(n(r))?\nAnswer: 18*r + 46164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*g = -10, -g = 2*c - 6*g + 24 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1663 + 1658. Let r be 2 + -1 + 44\/(-36). Which is the nearest to -2? (a) 0 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 3*x**2 + x. Suppose 0*b = 4*b + 8. Let v be z(b). What is the derivative of 20*d**2 - 20*d**v + 2 + 2*d**3 wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1220\/1952)\/((-4)\/(-32))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12726 by -6363.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -615474305\/884 + 696238. Let l = o - -1\/52. Factor -l*z**5 + 2\/17*z + 0 - 4\/17*z**2 + 0*z**3 + 4\/17*z**4.\nAnswer: -2*z*(z - 1)**3*(z + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b**3 - 6*b**2 - b + 1. Let p(m) = 514*m**3 + 13*m**2 - 166. Let a(x) = p(x) + 2*r(x). What is the third derivative of a(f) wrt f?\nAnswer: 3048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/2)\/(2\/(-4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.26 - -9. Let x = 0.06 + h. Suppose -4*p + w + 0 + 8 = 0, -4*w = 0. What is the nearest to x in -2, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/6))**(-1\/4)*(y*(y*y*y**(-2\/13)*y)\/y*y)\/(y\/(y*y**(-3\/5))) assuming y is positive.\nAnswer: y**(5129\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109568 and 3165184?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5036\/11 + -458. Sort -6, i, 5.\nAnswer: -6, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10*j - 3. Let q be o(1). Solve -q*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(2156) + 2 + sqrt(1100) + 2 + 4)**2.\nAnswer: 768*sqrt(11) + 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 - 2*g)*(8*g - 3*g + 4*g) - 4*g**2 - g**2 + 2*g**2 - 5*g**2 - 9*g + 9*g)*(-2 + 1 + 6).\nAnswer: -130*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 3*j + 50. Let t(q) = -18*q - 7. Calculate the remainder when t(-2) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 156 = -l - l, 3*v = -2*l + 155. Suppose 494 = 5*p - 3*h, 2*p - 5*h - l - 114 = 0. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**41*x*x\/(x*x**(-6)\/x))**(-2\/9))**(-45) assuming x is positive.\nAnswer: x**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*z - 2463 = 0, -5*d = -d - z - 3284. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 0 + 0*m**3 + 3*m - 1\/2*m**2 - 1\/10*m**5 + 0*m**4. What is the first derivative of h(o) wrt o?\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69912 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2, -23\/317, -61, 0.1, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555548481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 10*l - 5*l. What is the remainder when 228 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 12, -2\/13, -0.6, -4, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2308*r - 892 - 904 + 1795 to b*r + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1511*m**3 + 22*m**2 + 6*m + 627. Let f(t) = 504*t**3 + 8*t**2 + 2*t + 209. Let w(c) = -11*f(c) + 4*h(c). What is the second derivative of w(j) wrt j?\nAnswer: 3000*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -4*c + 5*p, 4*p - 76 = -24 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w**2. Suppose 5*u - 63 = -53. Let g(v) be the second derivative of 1\/3*v**3 + 0*v**u + 0 - 2*v. What is g(s(r))?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*p**3*r**4 - 2*p**3 - 66*p*r**2 + 2046*p + 1 wrt r?\nAnswer: -72*p**3*r**3 - 132*p*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 161*t**2 + 31. Let b be p(0). Calculate the greatest common divisor of 37696 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3145 - -3199. What is the remainder when j is divided by 43?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 16. Calculate the smallest common multiple of y(0) and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**5\/60 - x**4\/3 + x**3 + 7*x**2. What is p(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2092\/21 - -629\/6. Find the common denominator of h and 2\/(-4) + 27\/48.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48603103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000553 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -w - a, -3*a - 2*a - 13 = -4*w. Let j(y) = y**3 - 8*y**2 + 6*y + 9. Let h be j(w). Let x be h + (1 + -2 - -3). Let z(l) = -l + 8. Calculate z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 419 and 1604351?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 423\/(-470)*(-5)\/(-12).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (17 + -7 - 0) + 2. Solve 2*b - 9 + 3 = 0, b - y = -3*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.09 in 7, 11, -1\/5, -5, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 610511.5ml in litres?\nAnswer: 610.5115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + r = -2*o - 7, -4*r = -20. Let l = -3 - o. Let f(s) = -4 - l*s - s + s - s**2 - s. Calculate f(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -24 + 16 + (-524)\/76.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhy when three letters picked without replacement from hyhhhy?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*l - 4*v, 6294*v - 6292*v - 24 = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 10 - -2)*1. Let m(w) = w**2 + 4*w - 5. Let v be m(b). Let y = 38 - v. What is the highest common divisor of 95 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.38 + -0.02. Let b = -1 - 11. Let u be 3*(b\/(-9) + -1). What is the third biggest value in u, 0.2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**4\/6 + 32*k**3 + 57*k**2. Does 31 divide x(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 7*x + 5. Suppose -4*i - 5*v + 0 + 33 = 0, 2*v = 2. What are the prime factors of s(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 c when three letters picked without replacement from {u: 3, z: 4, c: 9}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 5*t + 4 = 0, -2*w - 3*t - 586 = -584 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2987 - 2974. Calculate the highest common divisor of i and 3159.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 1:48 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3 - 12. Let o be h - 3\/(6\/4). Which is the biggest value? (a) 0.5 (b) o (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*0.8\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 12*m**2 - 13. Calculate g(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99 and -1154.\nAnswer: 114246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 + 0*v + 0 + 3*v**3 - 2 + 4*v**2 - v. Let b(o) = o - 4. Let i be b(0). Give k(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5*a. Let g(p) = -p + 2. Let t(h) = -2*g(h) + r(h). Calculate t(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 - -111. Let a be 134\/d - 51\/136. Solve -4*r - n = 3 - 1, 0 = 3*r - 4*n - a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - i + 1)*(0 + 3 - 5) + (-4*i - 2*i + 3*i)*(3 + 3 - 5) to m + v*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven halves of a day?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - 17. Let f(j) be the second derivative of 4*j**3\/3 + 25*j**2 - 8*j. Let m(t) = 6*f(t) + 17*p(t). What is the derivative of m(g) wrt g?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 381730 and 2360?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-24)*(-3009)\/7. Let p = 288 + a. Find k, given that 8\/7*k**4 - p*k**3 + 0 + 6\/7*k**5 - 4\/7*k**2 + 0*k = 0.\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41448 times -0.0253\nAnswer: -1048.6344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27697749 is divided by 62.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 23*w + 16 - 84 = 0. What is the smallest value in 12, -5, -8, w?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -88 - -108. Put -4\/7, i, -3, -5 in ascending order.\nAnswer: -5, -3, -4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2 + 5*s - 2. What is m(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 1:40 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/10)\/((-2)\/(-10)). Find the third derivative of -4*u**6 - 5*u**t + 0*u**6 + 0*u**6 - 4*u**2 wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, q: 1, h: 4, z: 1}. What is prob of picking 1 z and 2 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 1. Let j(v) = 14685 - 29367 + 14685 + v**3 - 2*v**2. Give -j(c) + m(c).\nAnswer: -2*c**3 + 2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-150)\/(-35) - ((-3)\/(-6) - (-12)\/(-56)). Let z(i) be the second derivative of 3\/2*i**2 + 7\/12*i**4 - b*i - 4\/3*i**3 - 1\/20*i**5 + 0. Determine z(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g - 1. Let h be z(1). Let j = h + -7. Solve -j*s + 4 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3247 - -3247. Solve h*j - j - 2*l = 5, 0 = 2*j - 4*l - 22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9191 + 9193. Solve -3*l + 2*x = 5, -23*l - 3 = -22*l - s*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 - 44*d + 41*d.\nAnswer: -3*d + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (0 + (6 - 5))*148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -6. Let m = c + 8. Suppose m*v - 36 = 2*v. What is the greatest common divisor of 96 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261 (base 7) to base 9.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -2. Solve o*b + 0 = -4*l + 10, -3*b + 5 = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/2 + 53*l\/2 - 114.\nAnswer: (l - 4)*(l + 57)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12376 and 403.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 25 = 3*f, 0*f - 4*f = 2*g + 10. Let h be (-27)\/g - (-2)\/(-5). Solve -h*p - 1 = 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5455 take away 126?\nAnswer: 5329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25066991 to the nearest integer?\nAnswer: 5007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + 22. Suppose -2*p - p + x = 0. Calculate the remainder when 38 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 z when four letters picked without replacement from {z: 8, g: 6, f: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 62 by -94790.\nAnswer: -31\/47395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*x - 324 = 0, 2*b = 5*x + 53 + 276. List the prime factors of b.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/10)*z**(2\/3))\/(z\/z**(-1\/3)*z*z\/z**(-1)) assuming z is positive.\nAnswer: z**(-101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/12*(1216\/(-16))\/(-19)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 982010 (b) 4 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/25 - (-5 - 19614\/(-30)). Which is greater: q or -648?\nAnswer: -648","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 + -5 + (-30)\/5 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.35\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2 + 18*a + 44 = 0.\nAnswer: -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 9376*t**2 - 84*t. Let h(f) = -1171*f**2 + 10*f. Let z(j) = -17*h(j) - 2*w(j). Let r(g) = -10*g. Determine r(z(x)).\nAnswer: -11550*x**2 + 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5\/4 - 13251*y**4\/4 + 9*y**3\/4 + 39747*y**2\/4 - 13251*y\/2 = 0. What is y?\nAnswer: -4417, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*6\/12)\/(-1). Put r, 2, -5 in increasing order.\nAnswer: -5, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120307 - -120310. Let g = 6 + -4. Solve g - b = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o. Let n(p) = 12463 + 116*p - 12463. What is n(m(t))?\nAnswer: 348*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3114, 6209, 9304, 12399, 15494, 18589?\n\"Answer: 3095*x + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 7 = -3. Let p(l) be the third derivative of l**5\/60 + l**4\/8 - 7*l**2. Let y be p(-3). Put 2, r, y in ascending order.\nAnswer: y, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355254 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 g(m) = 87*m**3 + m**2 + 2*m - 7. Let l = -168 - -172. Is g(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*-2 + 5*(-2 + sqrt(11)))**2.\nAnswer: 260*sqrt(11) + 1959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 965951 and 0.3.\nAnswer: 965951.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1924705589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/668316 and -149\/129564.\nAnswer: 118291932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 - -18. Let k = -31.8 - -31. Is b less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 124471977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(1872))*-5 + 5*(sqrt(1872) + 0) - (sqrt(1872) + sqrt(1872) + -1 + 0 + 3 + (1 + sqrt(1872))**2 + sqrt(1872)))*3.\nAnswer: 540*sqrt(13) + 16920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1980 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 0 - (63 + -65)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 5.6. Let n = h + -1.2. Let q = n - -0.1. What is the second smallest value in -1, 1\/6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, o: 5}. Give prob of picking 2 o and 1 n.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3223 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-9)\/24*(-14)\/(-28)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10177 take away 0.0906492?\nAnswer: 10176.9093508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -4*o + 2, 0 = -2*o + 8. Is 2 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(12\/(-117))*-2 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 1)\/2*-194. Suppose -k + 41 = -2*u. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 2*h + 9, 2*u + 2*h + 6 = 0. Let i = 50 - 50. Sort u, i, 1 in descending order.\nAnswer: 1, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 23 = 3*t, -2*t = 4*l + t - 43. Let p be ((-15)\/(-6))\/(-1)*(-8)\/l. Find the second derivative of -6*a - a**p - a**2 + 3*a**2 wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 77*l**2 - 30*l + 93. Is 2 a factor of i(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1 - (-12)\/3. Let k(y) = 4*y**2 - 2*y + r*y + y**2 + 1 - 6*y. Give k(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1879177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1387.2378 rounded to the nearest ten?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011477 rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22 + -22440?\nAnswer: -22413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 184.9 + -210. Let o = y + 25. Which is the closest to 1? (a) o (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105246261 (base 7) to base 12.\nAnswer: 2186993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 19544, -6\/11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 34*x - 5. Let k(c) = 1. Determine 3*k(r) + q(r).\nAnswer: 34*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 divided by -1?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7*d**3 - 220*d**2 - 12*d - 4. Let s(y) = -20*y**3 + 667*y**2 + 34*y + 11. Give 6*s(n) + 17*x(n).\nAnswer: -n**3 + 262*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2402.0999 - -2402. Let m = a + 0.1. Round m to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2231195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/12 + 1\/(-4)*-1633. Suppose u = 3*c - 51. What are the prime factors of c?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**3 - 13*a**2 + a - 15. Let j be (-370)\/(-50) - (-4)\/(-10). Let m be d(j). Let c(n) = -m*n - 57 + 57. Let h(u) = -u. Determine h(c(f)).\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**6\/40 - 3*l**5\/20 - l**4\/4 - 4*l**2. Factor b(o).\nAnswer: -3*o*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 18 + (-10 - (-11 - -2) - -77)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/160 and 73\/1300?\nAnswer: 10400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 919360888?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2590 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 6*g + 66. Calculate the remainder when 812 is divided by j(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + n. Let i be t(0). Suppose v + v - 36 = i. Calculate the remainder when 35 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*i**2)*(-i**3 + 4*i**3 - 5*i**3 + (4*i - 4*i - i**2)*(-2*i - i + i) + 3*i**3 - 3*i**3 + 3*i**3).\nAnswer: 9*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 1 - (30 + -17 + -11)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20484*s + 50720*s - 7127*s.\nAnswer: 64077*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 138781*c**2 - 255*c + 257. Is q(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 + 956*q + 212355.\nAnswer: (q + 351)*(q + 605)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*l - 5 + 204*l + 3 + 150*l.\nAnswer: 31*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 9:36 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 930, -8, -0.097?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 111409124*d**3 + 1805584*d**2 - 2*d - 63.\nAnswer: 668454744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*l + 152 - 248 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 201, 3, 0.14, 8\/393 in increasing order.\nAnswer: 8\/393, 0.14, 3, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4268 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -q + 1529 + 1603. Calculate the remainder when q is divided by 141.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -23. Is -14 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 to the power of 1\/5, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -260 + 251 - (-11 - (0 - (3 + -3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 1 = -l - z, z = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q + 88. Let i be l(22). Factor i*c**3 - 2\/9*c**4 + 0 + 0*c + 0*c**2.\nAnswer: -2*c**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 219 and 245395632.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -2837 - 4040. Is m <= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11281 to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995 is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/7 + -2 + 210504\/(-4116)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1043577 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4586 is divided by 756.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 8, -980 = 3*u + 27*u + 12*r - 3398 for u.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**10)\/f)\/(f*f**9*f))**38 assuming f is positive.\nAnswer: f**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**40\/((b**34*b)\/b) assuming b is positive.\nAnswer: b**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175 + -166. Let r(s) be the first derivative of -21\/4*s**4 + p*s**3 - 3*s**2 + 0*s - 3. Factor r(g).\nAnswer: -3*g*(g - 1)*(7*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10202 (base 3) to base 12.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 10*y + 5. Let m be j(-10). Let l(h) = 1 + h**2 - m*h + h**2 + 1 + 0*h**2. Let a be l(3). Solve -4*k + a = -7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.1347 rounded to the nearest integer?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-12)*(-27 - 0). Suppose -2*c + i = -5*c. Sort c, 0, -2 in descending order.\nAnswer: 0, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 31 - 20)*(-2*k - k + k) + (1 - 4 - 4)*(0*k - 2*k + 4*k).\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**2 - 5*m + 16. Let u be r(-5). Let w = u - 111. Suppose 1375 + 22 = w*v + 2*p, 0 = -5*v - 5*p + 1385. Is 23 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*z + 124*z - 2366 = 27*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10121055 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7076\/976)\/(4\/(-16)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-166)\/370 - 1\/5. Let t = z - -722\/999. Let g = t + 34\/27. Put 1\/2, -0.3, g in descending order.\nAnswer: g, 1\/2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 560\/(-980)*6\/(-32)*4\/6?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 24720.23 seconds?\nAnswer: 24720230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-27) - 0)\/((-2)\/(-564)). Calculate the remainder when (-141)\/l*(109 + 1) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1683*u**3 + 21843*u - 101308467.\nAnswer: -5049*u**2 + 21843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -35 - 35 + 9*v**2 - 8*v + 89 - 33. Let f(g) = -6*g**2 + 5*g + 9. Calculate -8*f(w) - 5*i(w).\nAnswer: 3*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 0)*(-2 + 2*m + 2) + 2*m + m - 5*m + 113*m - 33157 - 424*m + 33149 as l*m + r and give l.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 649907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -19. Which is the third biggest value? (a) -5 (b) -1\/6 (c) 0.3 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/21)*d*d\/d**6)**14\/(d**(-2\/7)*d*(d*d*d**(1\/4))\/d*d*d**(-3)*d*d\/(d\/(d\/(d**5*d))*d)) assuming d is positive.\nAnswer: d**(-4393\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from egeggeegeveee?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99792)\/7392)\/(((-42)\/(-8))\/7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -24 + -996?\nAnswer: -9ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 + 27*h. Let j(g) = g**3 + 5*g**2 - 26*g + 50. Let n(c) = 2*c**3 + 8*c**2 - 39*c + 80. Let f(t) = 8*j(t) - 5*n(t). Determine 7*f(w) + 4*z(w).\nAnswer: 2*w**3 + 17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.146 times -0.025\nAnswer: -0.00365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151994 divided by 9.\nAnswer: -151994\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -450210 at least -450210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (sqrt(152)*2*2 - sqrt(152)))\/(1*sqrt(200) + sqrt(200)).\nAnswer: -sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 2*m, 31*o = 27*o + 3*m + 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, j: 1, q: 2, b: 3, o: 1, i: 3}. What is prob of picking 1 i and 2 f?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17633025?\nAnswer: 3, 5, 151, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h + 4. Let g(z) = 4*z + 2. Calculate -3*f(v) + 5*g(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) - (-136)\/(-51).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 3*w - 2*p, -2*p + 5 = 1. Suppose 285*h - 4016 = 34*h. Is h >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1341216 divided by 32.\nAnswer: 41913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 11*j + 3. Let w be r(8). Let x(u) = u - 27. Determine x(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*r + 94*r - 342*r + 143*r.\nAnswer: -567*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 2. Suppose 6 = -4*k + 2. Let w(m) = -m. Give k*q(o) + 3*w(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 222250387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 10*s + 27*s = -380 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**7\/1260 - z**6\/45 + 7*z**5\/180 + z**4\/9 - 5*z**3\/12 + 22*z**2 - 3. Solve a(v) = 0.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6345438 weeks to seconds.\nAnswer: 383772.09024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 9*r**2 + 4. Let s be i(6). Let g = s + 176. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffuuuuufuufffufffuu. Give prob of sequence uu.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 413*z**2 + 630*z. Let a(w) = 46*w**2 + 70*w. Let f(p) = 28*a(p) - 3*k(p). Find the second derivative of f(v) wrt v.\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -79618 and -7.\nAnswer: 557326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*16*(-12)\/(-5952)*5\/((-75)\/(-9)).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b - 51972 = 47*b - 27*b. What are the prime factors of b?\nAnswer: 2, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -177.\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**4\/4 + 8*o**3\/3 - 14. Give v(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((22\/5)\/(4\/(-10)))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.066 in -5, -0.3, 4, 0.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**6\/720 - q**5\/60 + q**4\/6 + 21*q**2. Let c(u) be the second derivative of k(u). What is c(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven quarters of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4429 = g + 2*r, 0*g - 3*g = -2*r - 13327. What is the highest common divisor of g and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 234 = 108*y + 25*y. What is x in -1\/4*x - 3\/2 + 1\/4*x**y = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppeepppppeepppppeppp. Give prob of sequence epp.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7 - 18 = -3*j, 2*j = 10. Factor 0*k**3 + 0 + 0*k**2 - 1\/4*k**o + 0*k.\nAnswer: -k**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24 - 9*q**2 - 4*q**2 - 3 + 3*q**2 + 6 - 501*q**4 wrt q?\nAnswer: -12024*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 292, -7, -2.\nAnswer: -7, -2, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 834.901 - 834. Let w = -1.901 + g. Which is smaller: -3.91 or w?\nAnswer: -3.91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12\/11*b - 6\/11*b**2 + 6\/11*b**3 + 0 = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -6. Let y = 4 + c. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64329 to the power of 1\/2, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -378*x + 1137. Let j be n(3). Solve 9 = 2*f - y + j, -5*y = -3*f + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mc when two letters picked without replacement from lmmcmlccc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 5*d - 45. Give g(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0143 - 2.1957. Let x = t - -2.3. What is the second smallest value in 6, x, -2\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/1511 - 42334\/19643. Let g = -97\/130 + w. What is the common denominator of -37\/162 and g?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -167\/832 + 3\/64. Let o = 2.835 + 0.165. What is the nearest to -0.2 in 13, o, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 187 + 480. Suppose -4*c = -q + 6*q - w, 3*c - 503 = -q. List the prime factors of c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 3*i**2 - 9*i - 12. Let h be p(-5). Let r(q) = -36*q - 62. Let m(s) = -12*s - 21. Let w(n) = h*m(n) + 6*r(n). Does 19 divide w(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = -110. Let u(p) = -9 - q*p + 9. Is u(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.504 and -3.34.\nAnswer: -1.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 972160 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4676*u**2 + 2320*u**2 + 2353*u**2.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 70284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 3*r - 17, 5*s - 91 = 3*r - 78 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69 divided by 8.\nAnswer: 69\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 6*k**2 - k - 8. Let z = -111 + 107. Let q be (z\/(-3))\/((-42)\/189). Calculate i(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -12. Let k = -31 + 125\/4. Let f = 0.022 - 0.322. What is the nearest to k in f, -2\/13, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/15)*w)\/w*w\/(w*w**4)*w**(6\/13)*w*w\/w**(11\/3)*w assuming w is positive.\nAnswer: w**(-282\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -1280 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53012*k = 53016*k + 8, 4*b = -3*k - 38 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*h + 35, -9*j - 5*h + 27 = -6*j. What is the lowest common multiple of 1\/5 + 38\/10 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*u - 126*u - 6 + 6.\nAnswer: -204*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/8)\/((-6)\/(-9))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3010313102 (base 4) to base 7.\nAnswer: -6565613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 14*v - 7. Let u be 6\/27 + 29\/(-9). Let p be q(u). Let z = 154 + p. Calculate the highest common divisor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*o + 114 = 521 + 48 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 4) to base 9\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -51*n - 95 + 251 + 201*n + 31*n**2 - 46*n**2 - 61*n**2. Differentiate s(i) with respect to i.\nAnswer: -152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the third derivative of j**7\/42 - 343*j**6\/120 - j**5\/60 - 17*j**4\/8 + 5*j**3\/3 - 453*j**2. Find the third derivative of d(p) wrt p.\nAnswer: 120*p - 2058","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 318 = 2*k, -k - 102 = -2*p + 219. What is the greatest common factor of p and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 287*g**2 - 204*g + 34. Let t be ((-48)\/40)\/(6\/20). Let x(p) = 286*p**2 - 204*p + 33. Let a(o) = t*x(o) + 6*d(o). Let a(j) = 0. What is j?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.21 - 19.21. Let l = x - -32. Let d = -13.0000001 + l. Round d to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + -4. Is (0 + (-162)\/t)*2 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6208 + -6203. Solve -2*t - 6*a + 7*a + 13 = 0, -q*a = 2*t + 17 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 8. Let t(u) = u**2 - 3*u - 48. Determine t(q(k)).\nAnswer: 4*k**2 - 38*k + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l. Let u(q) be the third derivative of -7*q**5\/15 - 2*q**3 + 6*q**2 - 172*q. Determine z(u(t)).\nAnswer: 56*t**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9556764?\nAnswer: 2, 3, 7, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2\/35075185 = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 62 (b) 1\/2 (c) -2\/3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 + 12 + 16)*(-2 + 5 - 2)*(3*f**2 + 703*f - 703*f).\nAnswer: 228*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t - 9. Let d be s(-18). Let b be (d\/(-18))\/((-2)\/(-1948)). Suppose 5*c - 4*f = 4053, -4*c = -7*c + 4*f + b. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 161708391 to the power of 1\/3, to the nearest integer?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 481480 and 16?\nAnswer: 962960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l = -4*y + 2, -3*y = 2*l + 1. Let a = -2 - l. Let b = -0.2 - -0.1. What is the closest to a in b, 4, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6241 - 2097. List the prime factors of 3*2\/(-30) - l\/(-20).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by -6.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11169804?\nAnswer: 2, 3, 930817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(1183*z - 32*z**2 - 1183*z) to the form a + t*z**2 + u*z and give t.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3993.14 + -4099. What is y rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 241, 1698, 5713, 13588, 26625, 46126, 73393, 109728?\n\"Answer: 217*x**3 - 23*x**2 + 7*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 0)\/(5\/15). Let p be (-279)\/(-3) - (0 - o). What is the highest common divisor of 24 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -52803428*i**4 - 99323088*i**2 wrt i?\nAnswer: -1267282272*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:50 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 113209 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 11*y**6\/120 + y**5\/15 + 2*y**3\/3 + 10*y**2. Is b(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-19))\/((-1616)\/15352)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 + 194*x + 2830. Give j(-77).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10756387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 11. Let v = -69 - -66. Put -2, v, 0.2, o in descending order.\nAnswer: o, 0.2, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37.074 rounded to 0 dps?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/9184 and -53\/1722?\nAnswer: 27552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iw when two letters picked without replacement from wxxcwwxxwcwwi?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 66410.34t?\nAnswer: 66410340000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3327157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95481 is divided by 84.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + ((-6)\/(-9))\/(6\/(-9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 13618, 1.\nAnswer: 1, 16, 13618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*j - 200, 5 = -3*u + 3*j + 155. Let v = 3 - u. Is v equal to -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25362 is divided by 204?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1028825\nAnswer: 2\/1028825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56, -272, -632, -1136, -1784?\nAnswer: -2576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**4\/8 + r**3\/6 + 13*r**2. What is the derivative of n(h) wrt h?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*k - 69 = -201*k + 2811 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1344341301 (base 5) to base 7\nAnswer: 41565201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 0, -35, -102, -207, -356, -555?\n\"Answer: -q**3 - 7*q**2 + 19*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-7) + 2\/(-56). Let g = 17.164 - 17.6. Let n = -0.064 + g. Which is the second biggest value? (a) -4 (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -13320223220?\nAnswer: 13320223223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by -55.\nAnswer: -43\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.321389246 to 5 dps.\nAnswer: 0.32139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6073369 is divided by 804?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61.12 - -6.12. Let l = 54.999999891 + z. What is l rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 2. Let c be ((-2)\/(-4))\/(y\/24). Let p be (-37)\/(-7) - c\/21. Solve -p*v = -5 + 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05 + 23.1807932.\nAnswer: 23.1307932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25, -11, 25, 95, 211, 385, 629, 955?\n\"Answer: 2*y**3 - y**2 + 3*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z - 7*z + 7*z - z**2 + 5 in the form c*z**2 + v*z + i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 0.22142.\nAnswer: -1.22142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**4 - k**4 - 3*k**4 - 5*k**3 - 4*k**4 - k**2 to the form l*k + x + v*k**3 + a*k**2 + h*k**4 and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**2 + 1 - 4 - 547*a + 221*a + 5 in the form n*a + y*a**2 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 - 33 - 28 - 14*k)*((-41 + 22 + 23)*(0 + 5 - 3) + 4 - 1 - 1).\nAnswer: -140*k - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.36 rounded to one dp?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + 2*sqrt(5) + 2).\nAnswer: 6 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by 1003\nAnswer: -65\/1003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 - 208*f**2 - 47*f - 6508. Let c be l(70). Suppose 0 = b - 4. Calculate the greatest common factor of c and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 30. Let p be (4\/(-7))\/(8\/(-28)). Suppose 2*t = p*c - 28, -4*c - 23 = 4*t + 33. What is the units digit of u(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 3*z**3 - 2*z**2 - 4*z + 5. Let m be h(1). Let k(w) = w**2 + w + 4. Let r be k(0). Which is the nearest to -1\/4? (a) r (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24432*f + 3052*f + 5695 - 5694 as x + k*f and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6802311401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.507758492 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 4676?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21726021 is divided by 2162?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6\/f**(-7) assuming f is positive.\nAnswer: f**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.167 - 0.567. Let z = 0.19 - 0.09. Put b, z, -1\/4, -2\/7 in decreasing order.\nAnswer: z, -1\/4, -2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/28 + 122\/14. Let a(p) = -c*p + 7*p + 10*p. Let v(m) = m. Give a(v(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r + 11*r - 14*r)*(-3 - 3 + 5 - r**2)*(568 - 568 - 46*r**2).\nAnswer: -690*r**5 - 690*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.060325 and -3?\nAnswer: -30.180975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 338769 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/27 - 490\/63. Which is bigger: s or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 8*u - 15. Let s be t(2). Let p be (2\/(-6))\/((-3)\/43). Let g = 76\/9 - p. Which is smaller: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*4\/(-36))\/((-5)\/(-15)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11194?\nAnswer: 2, 29, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-306)\/4)\/(1\/(-2)). Let v = 13331\/96 - -495\/32. Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*p**2 - 49*p**2 + 103*p**3 + (1 - 3 + 1)*(2*p - p**3 - 2*p).\nAnswer: 104*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 + 9*b**2 - 154*b - 691. Determine y(-4).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*b - 52 = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c8 - c21?\nAnswer: -b48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131*j**3*u + 2*j**3*w*y**3 - 10*j**3*y**2 - j**3*y + j*u*w*y**2 - j*u*y**3 + 5*w*y**3 wrt u.\nAnswer: 131*j**3 + j*w*y**2 - j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -714, -722, -734, -750, -770?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11020 (base 3) to base 15\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 31863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/160*-20)\/6.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -200 divided by -3\nAnswer: 200\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*h + 202, 20*h = 18*h - 4*p + 100. Solve 13*d - 6*d = h for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3401391.3 + 0.8?\nAnswer: 3401392.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -5 + 2 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 613291, 1226794, 1840297, 2453800, 3067303?\nAnswer: 3680806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -3*n**2 - 505*n + 11797. Calculate g(22).\nAnswer: -765","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48\/495077 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4164 + -317?\nAnswer: -4503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-79)\/(-79))\/((-2)\/(-2)*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7149 in 3\/8, -3, -5, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/963 and 7\/13161.\nAnswer: 39483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1076 and 69245?\nAnswer: 70321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 247968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + 3 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 55100.37 centuries?\nAnswer: 5510037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 - 8*v**3 - 7*v**3 - 9*v**3 + 0*v**3 - v**4 + 0*v**3 - 3*v**4 + 2*v**4 + 3*v**4 + 0*v**2 + 0*v**2 + v**4 + (2*v**3 - v**2 + v**2)*(-v - v + 3*v).\nAnswer: 2*v**4 - 24*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 4 - 5) + 6 + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2314, -2216, -1928, -1354, -398?\nAnswer: 1036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7648, -9756, -11864?\nAnswer: -13972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3255.5 - 3255. What is the smallest value in -0.4, o, 14, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*t + 0*t**2 - 3*t**2 - 10*t + 14*t**2.\nAnswer: 11*t**2 - 81*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*y + 235*y + 20*y**2 - 45*y**2 - 470*y.\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1670 = -170*t + 419*t - 149*t - 930 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + u - 20 = 8, -3*u + 24 = 3*a. Sort a, -29, -6 in descending order.\nAnswer: a, -6, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -38*u**2 - 11*u - 266. Let q(t) = 12*t**2 + 4*t + 88. What is -14*q(h) - 5*s(h)?\nAnswer: 22*h**2 - h + 98","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, 292 in ascending order.\nAnswer: -16, -3, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1691 + 1159. Let w = i - -530. What is the second smallest value in w, 65, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8\/5*(-100)\/(-40) + 55 is divided by 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 0*j - 3*j + j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + m**2 + 0*m**2 + (-3 + 3 - 2*m**2)*(4 - 5 + 3) + (17*m - 17*m - 94*m)*(-4*m + 6*m - 3*m) to the form o + x*m + j*m**2 and give j.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 9*q. Suppose 0 = 7*b + 347 - 291. Calculate h(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s + 13828 - 15806 = -66*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)*n\/(n\/(n\/n**(-1\/4))*n)*n*n**(-3)*n**(-3\/7)*(n*n**(-1\/3)*n*(n\/(n**(1\/8)*n*n*n))\/n)\/(n\/(n*n**(5\/3))*n**(-2)) assuming n is positive.\nAnswer: n**(-331\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*p - 150 = 179*p. Let h(c) be the third derivative of -c**6\/120 - c**5\/15 + c**4\/6 + 5*c**3\/6 - 3*c**2. Calculate h(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 l when two letters picked without replacement from cgcclclnnanccllll?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/2 of a day?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.8 and -2.\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258 a factor of 2794018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18856)\/612820)\/(2\/(-520)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.2 + -12. Which is the closest to -1\/2? (a) l (b) 0.4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**4 - 32*p**4 + 2*p**4 + (p**2 - p**2 - 3*p**3)*(5*p + 2*p - 10*p) + 3*p**4 - 3*p**4 - p**4.\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(2*v - 2 + 2) - 23*v - 37*v + 27*v - 208 + 18*v.\nAnswer: -17*v - 208","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974.114 millennia in centuries?\nAnswer: 19741.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/7)\/n**(-14\/3) assuming n is positive.\nAnswer: n**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + f**2 - f. Let c be a(-2). Solve 4 = -2*q + c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -427.473 rounded to the nearest ten?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 784527 to the power of 1\/3, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/15 and 52\/23976027.\nAnswer: 119880135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -15 - 26 - (-27 - -18).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -690.5 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4*v - 29. What are the prime factors of a(-12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23871075 (base 9) to base 12.\nAnswer: 3ab2a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -25*c - 255. Let o(q) = -q**2. Calculate o(n(i)).\nAnswer: -625*i**2 - 12750*i - 65025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18558358 + -3341642. Round z to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13230 (base 4) in base 15?\nAnswer: 22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 19*u**5\/10 - u**4\/6 + u**3\/3 - u**2\/2 + 8*u. Is j(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 72, 183, 108, -375, -1488?\n\"Answer: -37*z**3 + 129*z**2 - 17*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 725672360 a multiple of 3891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 10*t**2 + 12*t - 7. Let n be s(11). Solve n*r + 9 = -5*h + 5*r, 3*h + 8 = -2*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18.578 and -0.13.\nAnswer: 2.41514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -1\/42*d**7 + 1\/6*d**3 - 1\/6*d**4 + 0*d**2 + 1\/15*d**6 + 0*d**5 - 3*d + 0. Determine m, given that o(m) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 353000, 705593, 1057380, 1407959, 1756928, 2103885?\n\"Answer: -67*c**3 - c**2 + 353065*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 5\/52609062 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -25. Let w = -26 + j. What is the second derivative of 7*z - 18*z**w + 5*z + z + z wrt z?\nAnswer: -108*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(44)\/sqrt(32) - (sqrt(22) + -3*sqrt(1408)))\/((sqrt(3564) + 1*sqrt(3564))\/(1*sqrt(196))).\nAnswer: 679*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 40 + 4 + -44?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 281.34 + -281.4. Which is the smallest value? (a) -14 (b) 0.4 (c) x (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.6, -5, 10\/201, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317470087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 144975630.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 216 - 216.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27872*k**3 - 27882*k**3 + 139396*k**3 - 27884*k**3 - 27878*k**3 - 27872*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -744.81 and -0.41.\nAnswer: -745.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of ((-2)\/(-7))\/(20\/135940)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100, 201, 302, 403, 504?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 1. Let k(n) = -60*n + 80. Let v(o) = 80*h(o) - k(o). Let f(w) be the first derivative of 0*w + 0*w**2 - 196 - 2\/3*w**3. What is v(f(u))?\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 n, and 1 m when four letters picked without replacement from xmnxsfnnsmfnnnsasxx?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 63.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -35.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -327 in -2\/3, -0.07, -5\/13, 1, -0.3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 68156, 136334, 204512, 272690?\n\"Answer: 68178*s - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46495 is divided by 11613.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uguuuuuugugguu. What is prob of sequence gu?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 3*v**2 - 2*v. Let w be n(2). Let a = 1386 - 1385. Is a greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 9*t**2 + 3*t - 5*t.\nAnswer: 8*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.33, 208, -0.3, 1\/19, -1\/5 in decreasing order.\nAnswer: 208, 1.33, 1\/19, -1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*p**3 + 732*p**3 - 1961*p**3)*(6 - 5 + 0).\nAnswer: -1281*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 6*v**2 + 3*v + 2. Let m be y(-9). Suppose 9*d - m = 106. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a0 (base 14) in base 13?\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944187?\nAnswer: 3, 347, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o**2 + 838*o + 138. Determine h(-63).\nAnswer: -1059","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 680 and 2125?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2520367.69103 - -67\nAnswer: -2520300.69103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -362571?\nAnswer: 7\/362571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4024812?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 19430.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011372085 rounded to seven decimal places?\nAnswer: -0.0001137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 168.5 - 119. Let a = c - 50. What is the closest to -2\/3 in 0.5, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -9*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i - 4*i + 0*i)*(0 - 4 - 13 + (4 + 1 - 1)*(3 + 4 - 2)) + (-2*i + 0*i + 4*i)*(-3 + 1 + 1) in the form f + h*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1, -9, -17?\n\"Answer: -8*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142912372 to the nearest integer?\nAnswer: 11955","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, d: 13}. What is prob of picking 2 t and 2 d?\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2333357\/151 smaller than 15453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/63*-3 + (-18252)\/(-63). What is the third derivative of -l*k**2 + 328*k**2 - 4*k**3 + 50*k**3 wrt k?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -139029 divided by -12639.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20413\/9 - -2311. Let z = u - 2630\/63. Factor 2*c - 4\/7 - 8\/7*c**3 - z*c**2.\nAnswer: -2*(c + 2)*(2*c - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5829 and -0.0301?\nAnswer: 5828.9699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/25*(-1 - -6). Suppose 2*c - p = 4. Is c bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1886, -7842, -17864, -31952, -50106, -72326, -98612?\nAnswer: -128964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/2709 and -85\/2447802?\nAnswer: 105255486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 1, -0.3, 0.5, 287, -55 in decreasing order.\nAnswer: 287, 1, 0.5, 0.08, -0.3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*l**3\/2 + 989*l**2\/4 + 8053*l\/4 + 91.\nAnswer: -(l - 52)*(l + 7)*(22*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.6, -8056.19 in ascending order.\nAnswer: -8056.19, -8, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cueeucccu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 6:50 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-12)*c**(-1\/3))\/(c**(-2\/35)\/c**(-8\/7)))**14 assuming c is positive.\nAnswer: c**(-2818\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - j**2 - 4*j**2 + (-j + 0*j + 3*j)*(12*j + 6*j - 16*j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407750?\nAnswer: 2, 3, 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2. Let n(q) = -6*q + 8*q - 707*q**2 - 2*q - 5*q**2. Calculate u(n(c)).\nAnswer: -506944*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 10*i + 186. Calculate the smallest common multiple of 16 and -32 + i - (-42 + 2\/2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(400) + 2*sqrt(400))*3 + sqrt(400) - 3*sqrt(400)*-1)\/(sqrt(16)\/((sqrt(10)*-1)\/sqrt(5))).\nAnswer: -65*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -137 + 377. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 8:22 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -8. Let z be (1 - -3) + 144\/(-16). Let h be z + (3 - -6) + -3. Which is the third biggest value? (a) h (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 4:24 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1192, 4772, 10736, 19084, 29816, 42932?\nAnswer: 58432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 1.04, 1, -368?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 9*d - 30. Suppose 19 = 3*o + 5*j, d = o - j - 11. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 33460826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 207 - 205. Let s be 135 + 0 + 0 + -1 + j. What is the highest common factor of s and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**2 - 3*u + 4. What is the tens digit of f(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31126741?\nAnswer: 53, 587297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 7:22 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3689344, -3689345, -3689346?\nAnswer: -3689347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/69? (a) 1\/9 (b) 0.078 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010101 + 32301?\nAnswer: 1103002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(425) + sqrt(17) + -2*(sqrt(17) - (0 + sqrt(17)))**2)*3.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 2465*h. Let t(s) = -5*s**2 + 110. Give t(f(d)).\nAnswer: -30381125*d**2 + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.161 - -9314.69795494?\nAnswer: 9314.53695494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 3:10 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**4\/4 - 25*x**3\/4 + 15*x**2\/4 + 65*x\/4 - 25\/2 = 0.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -20\/291, -1, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.02 - 0.08. Let t = -34.2 - -32.2. Sort 3\/2, t, m.\nAnswer: t, m, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -249*f + 290 - 265 + 1220 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 2)*4\/14*((-8990)\/(-124) + -21)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 1.35567 (c) 2\/5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13715?\nAnswer: 5, 13, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/91 and 41\/76765.\nAnswer: 537355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 69, 31, -31, -117, -227?\n\"Answer: -12*g**2 - 2*g + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -159 + 161. Solve r = -a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 3, 0.15, -2, 1\/3?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1008 - -862. Which is smaller: -1018\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 18*j + 3 - 8 - 16*j in the form y*j + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10091*c**2 + 500 + c**3 + c**3 + 10088*c**2 to the form f*c**2 + q + t*c**3 + b*c and give q.\nAnswer: 500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*3 + -5 - sqrt(192) - -1*sqrt(192)*-3) + 1.\nAnswer: -8*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 20*t = -6, 72 = 4*v - 3*t + 25*t - 50 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 64*z - 135. Let a be h(2). What is the biggest value in 5, a, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -87 - -90. Let g(y) = 5*y**3 - 12*y**2 + 3*y + 4. Let t(u) = -14*u**3 + 34*u**2 - 9*u - 12. Let s(b) = -11*g(b) - 4*t(b). What is s(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 - -1 - (133 - 139)) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3249 divided by -25963.\nAnswer: -3249\/25963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:42 PM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 59660, 119766, 179872?\n\"Answer: 60106*o - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.19391 - 4.10431. Round m to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 1 + 1 = -3*c, 3*g = -2*c - 8. What is the third derivative of 15*m**4 - 40*m**3 + 43*m**3 - 103*m**2 - 63*m**c + 6*m**4 wrt m?\nAnswer: 504*m + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 - 1 + 1)*(2 + 5 - 5) - 56 + 12 - 24)*(0 - 5 + 3)*(-4*a + 4*a - 2*a + (2 - 2*a - 2)*(-2 - 3 + 2)) in the form j + m*a and give m.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798 is divided by 159?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*g + 202*g - 378*g.\nAnswer: -408*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*o + 8*o. Let z(y) = y**3 - 6*y**2 - 6*y + 8. Let u be z(o). Let b = -24 - u. What is the least common multiple of b and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 549.8417ml?\nAnswer: 0.5498417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r + 1\/6*r**3 + 0 + 2*r**2. Let l be ((-8)\/((-8)\/3))\/(2 + -1). What is y(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 553*m**2. Let y(z) = -z. What is y(r(h))?\nAnswer: -553*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 5:56 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/((-240)\/54) - (1 - -1). Let m = -3.1 + 3. Let r = m - -0.1. Is c at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -20. Let u be (14 - 13)*(-1)\/h. What is the tens digit of 82\/(-2*u\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o = -4*y + 78 + 86, 5*y + o + 4*o - o = -96 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 6. Let y(x) = x**2 + x**2 - 33 + 30 - 2*x**3. Is y(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -393 + 393. Which is smaller: j or 17\/13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + w + 1 = 0, -6 = 4*w - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + 4*(sqrt(110)\/(sqrt(5) - (sqrt(5) + -3*sqrt(5))))\/((-3*sqrt(132))\/sqrt(12))))**2.\nAnswer: 256*sqrt(2)\/9 + 5696\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/380 and 37\/95822016?\nAnswer: 479110080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 15 = 5*i, 0 = -5*v + 3*i - 34 - 1 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407022.\nAnswer: 2, 3, 7, 11, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 15) + (-86)\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 12 + 6)*(2*r - 3*r + 0*r) + (149 - 121 + 335)*(-1 - 4 + 3 + r) in the form v + c*r and give v.\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -300779 (base 10) to base 8\nAnswer: -1113353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - (4 - 7))\/(-1). Solve -3*s = 5*v - 34, s + 4*s - 3*v = a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 - 39*j - 63*j**3 - 21*j**3 + 162*j - 52*j.\nAnswer: -90*j**3 + 71*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 416333512 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -34. Let f be k + -2 + (5 - 2). Suppose -y - 4*d - 13 = f, 3*y - 7*d = -2*d + 12. Sort y, 1, 0 in increasing order.\nAnswer: y, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 19269?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*t**2 - 31*t**2 - 62*t**2.\nAnswer: -43*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/3 + 38*f**4\/3 - 530*f**3 + 11572*f**2\/3 + 47069*f\/3 - 173030.\nAnswer: (f - 11)**3*(f + 6)*(f + 65)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 602 - 564162?\nAnswer: -563360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-18)*2\/(-16)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -605*n - 1 - 46*n + 652*n. Let h(r) = 63*r - 126. What is -h(k) + 126*y(k)?\nAnswer: 63*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*99\/216*-3*12\/(-22).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.15 + 1.85. Suppose -4*w - 4*n + 16 = 0, 3*w - 1 = 4*n - 3. Let y = 0.24 + 0.06. Which is the nearest to w? (a) t (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4\/3 + 55*v**3 + 590*v**2\/3 - 600*v = 0. What is v?\nAnswer: -5, 0, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 4*g + 13 + 1, 5*q - g + 1 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8*a = -24. Let j = a - -8. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2)\/(((-9)\/6)\/(-3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*l + 5*r, 0*l - 3*r + 10 = -5*l. Let s(j) = 3*j**3 + 3*j**2 - 4. Let o be s(l). What is the units digit of 194\/4 - o\/32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6927*s + 5. Let d(w) = -2*w**2. Calculate j(d(b)).\nAnswer: -13854*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 894697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 - 3*j**2. Let v(n) = 23*n**3 - 10*n**2 + 9*n - 9. Let b(q) = 6*q**3 - 3*q**2 + 2*q - 2. Let i(g) = 18*b(g) - 4*v(g). What is 2*i(k) - 11*p(k)?\nAnswer: -k**3 + 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35086854 divided by 726\nAnswer: 48329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 5:05 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((sqrt(72) - sqrt(72)*-3) + sqrt(72))*-6)*-3)**2*1.\nAnswer: -12960*sqrt(2) + 583344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 180 or 174?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -404?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1 + 6*y**3 - 15*y + 0 + 13*y. Let k be i(1). What is the highest common factor of 10 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34 - -34) + 4\/8. Which is the nearest to 2\/3? (a) 12 (b) 0.03 (c) u (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 132*o**2 + 208*o**2 - 415*o**2.\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 10*g + 31. Let x be k(2). Solve 5*c + 14 = -n, -2*c = 2*n + x + 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 79 and -112386?\nAnswer: -8878494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16484 and 17332292.\nAnswer: 1268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a. Let u(n) be the third derivative of 77\/60*n**5 + 0 + 0*n**3 + 0*n + 10*n**2 + 0*n**4. Determine i(u(t)).\nAnswer: 77*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388355396.\nAnswer: 2, 11, 13, 678943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(300))**2 + 3 - (4*sqrt(9)\/sqrt(3) + ((sqrt(243) + 0)**2 - sqrt(3))).\nAnswer: -3*sqrt(3) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -204, -383, -550, -693, -800, -859?\n\"Answer: 2*h**3 - 6*h**2 - 175*h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 570341?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16402?\nAnswer: 2, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 21 = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -600 = 19*l - 22*l. Is l a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2. Let q(t) be the second derivative of 0*t**2 + 0 - 4*t - 1\/2*t**3. Determine q(d(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v + 3. Let q be f(-6). Let z = -2 - q. Let i = 112 - z. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 170?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cillcbib. What is prob of sequence ci?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 415356 and 692260.\nAnswer: 2076780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j + 32 = 46. Solve -5*x + 9 + j = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -12.116292.\nAnswer: 60.58146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 0*k - 8\/15*k**5 + 0*k**3 + 2\/3*k**4 + 1\/10*k**6 + k**2 + 0. Factor v(o).\nAnswer: 4*o*(o - 2)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 67*z**2 + 2*z + 1. Let a be j(3). Let p be a\/60 - 1\/6. Suppose -p*g = -12*g + 4. Solve -g*i + 5*i = 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -47*b**3 + 5*b**2 + 2*b + 14. Let p be x(-4). Suppose 0 = 4*g + 634 - p. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252672 and 11400?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14887\/4 or -9\/5?\nAnswer: 14887\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - -15. Suppose a + 7 = 4*j, 3*a = 2*j - 0*j + x. Suppose -a*g + 32 = -g. Solve 0*w = g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - (-13)\/(-2)) + (-114)\/(-76). Let w(n) = -6*n + 17. Let v(i) = 2*i - 6. Let k(u) = d*w(u) - 17*v(u). Let s(m) = 6*m**2 - 1. Determine k(s(p)).\nAnswer: 12*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3980.\nAnswer: 2, 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (5 - 7) + 1 - (5 + -37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80790 divided by 8079.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-175)\/(-5))\/(-5))\/((-4655)\/95)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3626, 6131, 8620, 11087, 13526, 15931?\nAnswer: 18296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + h = 2*g - 227558 + 227580, -h + 26 = -2*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42 + (82 - 19) + -27\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-9) - (-1 - 65\/(-39)). Put v, 0, -4\/15 in decreasing order.\nAnswer: v, 0, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-2) + -5)*(-56)\/6. Suppose w - 3*w = -v. Find the common denominator of -1\/16 and 484\/(-48) - (-4 - w\/(-2)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2112 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-13)\/b)\/(b\/((b*b*b\/(b\/(b*b*b**(-14\/3))))\/b)) assuming b is positive.\nAnswer: b**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -66. Let z be 1 + ((-6)\/21 - 40\/w). Solve 3*k - 3*r + 0 + 3 = z, r - 13 = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1381 + -829. Let d = -545 + v. Let r = -13\/3 + 4. Which is the nearest to r? (a) -3 (b) 3\/8 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 899 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 276.8 + -277. Sort h, 1\/6, 4, 2\/5.\nAnswer: h, 1\/6, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/1447 greater than or equal to -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -28 + 61 - 13*c - 5*c**3 + 4*c**3 - 16*c**2. Let a be l(-15). Is a bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 75508004 and 572?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 + 14*v + 5. What is the units digit of c(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -3*a**2\/2 + 171*a\/2 - 243 = 0.\nAnswer: 3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22269, -89080, -200435, -356340, -556801, -801824?\n\"Answer: -c**3 - 22266*c**2 - 6*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldkkilkldiliidikkdld. What is prob of picking 1 l and 1 d?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by (12\/18)\/(-1 - 13\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1444.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4484, -4556, -4628, -4700, -4772, -4844?\nAnswer: -4916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 2. Let h = 7 + -6. Let y = 5 - h. Suppose n + y*n - 25 = 0, 19 = 3*i + 5*n. Calculate r(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(52)\/sqrt(4) + 1 + -2.\nAnswer: -6 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y**2 + 11 + 0*y + 8*y - 3*y**3 + 4*y**3. Let r be w(9). Sort r, -3, -9\/2 in increasing order.\nAnswer: -9\/2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 15*y - 19*y + 23, -3*k = -y + 14 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*((3*y**3 + 0*y**3 - 2*y**3)*(1 + 0 + 1) + 2*y**3 - y + y + 2*y**3 + 3*y**3 - 4*y**3 - 27889*y**3 + 7857*y**3 + 12532*y**3).\nAnswer: 7495*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/16 - (-11)\/4. Suppose -t*r = -s - 10, 3*r - 3*s + 1 = 19. Find the second derivative of -2*z**r + 4*z - z + 0*z wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -35*u + 80972. Suppose -u = -13*w + 2185. What are the prime factors of w?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3151 + 3154. Put 7\/3, l, 1\/2, 2\/5 in descending order.\nAnswer: l, 7\/3, 1\/2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {b: 5, h: 1, q: 8, w: 4}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*h + 9632 = 3*f, 8 = 4*h. Suppose -3*j - 777 = -f. Suppose 4*a = 300 + j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-4 + -8)\/84. Put 42, 1\/6, -4, x in decreasing order.\nAnswer: 42, 1\/6, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 + 6*j - 167. What is g(-10)?\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18031.03101 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 2336510879*j + 2336510879*j.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890840.6 months in years?\nAnswer: 157570.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 546 (b) -1\/4 (c) -0.5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -211200220012 (base 3) in base 12?\nAnswer: -196695","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from rsrvvgjrtgvs?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**6\/40 - o**5\/60 + o**4\/6 - 2*o**3\/3 - 50*o**2. Let z be d(1). Solve z*w + 8 = -2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 l when four letters picked without replacement from zylyzytzyzlyyztttz?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*d - 12 = 6*i, -i + 4*d = 18. Let q be -1*i\/(-2)*-8. Let t = q - -12. Solve -2*h = -t - 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-11)\/(-231))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -9 + -5 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (0 - 2))\/1. Suppose 30 = x - l, g = 3*x - 3*l - l - 85. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**8\/588 + 4*r**7\/735 + r**2 - 65. Factor c(t).\nAnswer: -4*t**4*(t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 10*m - 112. Solve -4*a + 27 = m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000009938186 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2*o**2\/13 - 322484*o\/13 - 27074544\/13 = 0.\nAnswer: -161158, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 7. Let j(y) = -y**2 + 3. Let k be -7*(3 - (7 + -5)). Let m(a) = a - 6*a + 4*a - 1. Let l be m(2). Determine k*j(z) + l*x(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {b: 3, a: 15}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**2 + 247 - 122 - 116 + 3*t + t**3. Calculate d(7).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 105 = -2*g. Let t = g - 28. Calculate the lowest common multiple of 90\/t*(0 + 4\/6) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -9. Suppose -3*t + t + 54 = d. Let v be t\/12*(-10)\/15. What is the nearest to 0.1 in 0.02, v, -1\/2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 2*k**2 - 4*k - 18. Let s be m(4). Let g be 2 + (-1)\/(s\/6). Calculate the greatest common divisor of 135 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-9 - (-7 - -4)) + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -873200 to the nearest ten thousand.\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/1*1\/2. Suppose 4*x - c - 89 = 0, x - d*x + 26 = -c. Let m = -2 + x. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 + 5 + -290 + 312?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -158 - -96aa6?\nAnswer: 9694b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4916150 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58774230 - 14374230. Suppose l = 3*q + q. Round q to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 711448 divided by -4\nAnswer: -177862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.1, 5, -0.0575, -5, 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*u**6 + 3*u**5 - 37*u**3 + 78389*u**2 wrt u?\nAnswer: 1320*u**3 + 180*u**2 - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxppp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 + 13224161?\nAnswer: 13224160.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.011 + -22.989. Let r = c + 23.16. Let h = -0.1544 + r. Round h to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) - (sqrt(1377) - (-3 + (sqrt(1377)*2 - sqrt(1377)))**2) - (sqrt(1377) - (2 + sqrt(1377)*-1 - sqrt(1377))**2).\nAnswer: -135*sqrt(17) + 6898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 + 6. Let q(b) = 79*b + 2 - 2 - a*b. Let t(z) = -3*z**2. Give t(q(f)).\nAnswer: -1323*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 487 - 297. Calculate the common denominator of 6\/14 + 8\/(-2016)*w and -97\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21681636 + -0.2.\nAnswer: 21681635.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35691499 is divided by 1900.\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2128 + -562. Let q(b) = -99*b**2 - b + 1. Let h be q(-3). Let s = h + p. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by 4369.\nAnswer: -22\/4369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.69 * -0.2.\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 270 (base 16) to base 6\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694*g + 128*g + 4*g**2 + 566*g.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 16*f**2 + 7*f + 111. Give y(-16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a + 9*a + 19*a - 228*a)*(a + a - 4*a).\nAnswer: 416*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 5*d**3\/3 - d + 2. Let j be s(1). Suppose 0 = -g + 4*i + 4, i = -j*g + 2 + 48. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1092?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**3 - x**2 - 5*x + 4. Let q(d) = 14*d**3 - 3*d**2 - 14*d + 13. Let w(t) = -6*q(t) + 17*r(t). Determine w(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/(-2) + 16\/(-4) and -93\/82.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + 9.99. Let h = -10.001 + m. What is h rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.7, -2\/165, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - 3*a - 2*a - 18, -4*a - 16 = -4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 - 3*i**2 - 5*i**2 + 3 + 9*i**2 to the form m + v*i**2 + p*i and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -112041420 (base 7) in base 6?\nAnswer: -402245543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*j**2 - 29 + 29.\nAnswer: 600*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(1\/8)\/t*t)*t)**(-2\/15)*(t\/t**(2\/5))\/(t*t**3) assuming t is positive.\nAnswer: t**(-73\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**2 - 31*x + 35. Let q(w) = -w**3 - 13*w**2 - 9*w + 3. Let a be q(-12). Let s be d(a). Round s to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4)\/y**(-1\/12))**(2\/11) assuming y is positive.\nAnswer: y**(-47\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r - 99. What is x(0)?\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121064.7 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0381 + 0.0164. What is p rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of 0*f**3 + 1\/30*f**5 + 0 + 2*f**2 + 0*f + 0*f**4. Let j(m) = -2*m. Let c(n) = 2*n. Let g(b) = 6*c(b) + 5*j(b). Give y(g(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197 + 197.87. Let d = -0.13 - i. What is the closest to d in 4\/7, -1\/4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-8)*u*u**(-3\/11)*u*u**(-15)*u**(-7))**(2\/5) assuming u is positive.\nAnswer: u**(-578\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-39)\/18 - (-4)\/24. Let c be (-151)\/v - (-1)\/2. What are the prime factors of 1\/(-2) - c\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 + 111*q**4 - 351*q**3 + 357*q**2 - 120*q.\nAnswer: 3*q*(q - 1)**3*(q + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 201 - 215 - (-106 + (1 - -6)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21817.84 + 21818. Let t = 2 - 2.1. Which is the smallest value? (a) t (b) n (c) -0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**3 + 5*o + 7. Let w(y) = -3*y - 12. Let j be w(-3). Let n(f) = f**3 - 4*f - 6. Give j*s(d) - 4*n(d).\nAnswer: 2*d**3 + d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {b: 1, c: 1, v: 2, l: 1, y: 1, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 37*l + 42. Let p be g(20). What are the prime factors of (-12 + 6 + p)*69\/(-6)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 5*r**2 + 6*r + 1. Let b be (-3 - (-21)\/9)*(-90)\/12. Suppose -3*t - 5 = -5*u, -2*u + b + 8 = t. What are the prime factors of g(t)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 0 + 13*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26.62856 - 28.972. What is p rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -481 (base 12) to base 10.\nAnswer: -673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -38?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 - 9*n**2 + 25*n + 6*n**2 + 2*n**2 + 0*n**2 - 55. Let i be x(2). Solve r = 5*s + 2*r, -i*s + 13 = -2*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 221 + 4?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1)*(-a**2 - a**3 + a**2) + (4*a**2 + 5*a + 7*a**2 - 9*a**2 - 1)*(-2*a - 3 - a + 1).\nAnswer: -8*a**3 - 19*a**2 - 7*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132 + 113323?\nAnswer: 114010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -15 - 0. Let s = 4 - p. What is the units digit of (-18)\/(-12)*(5 + s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -34*q + 8. Suppose -4*i = i - 5*v + 30, 2*i - v + 10 = 0. Let a be f(i). Calculate the greatest common divisor of 18 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(2\/5)*v**1)\/(v**0\/v**(-4))*(((v*v**3\/v*v)\/v)\/(v*v\/(v*v*v**(1\/10)*v)*v))\/(v\/(v\/v**(1\/2)))**(-48) assuming v is positive.\nAnswer: v**(53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*g + 19, k - 3*g = 2*g + 26. Suppose c = -2*j + k, 3*j + 0*j = -2*c + 1. What is the units digit of (j + 1)*1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s. Let f(i) = -6*i + 3*i + 6*i - 4*i. Calculate o(f(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c - 6. Let w be r(3). Let n = -426 + 428. Let v(m) = -38 + m**n + m + 12 + 6 + 13 + 3. Determine v(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -4 (c) -137191 (d) -5 (e) -0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 1 - 4)*(1444*f**2 + 3336*f**2 - 394*f**2) to u + j*f**2 + y*f and give j.\nAnswer: 4386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(3*(sqrt(99) + sqrt(99) + -3*sqrt(99)) + -4 - ((-1*sqrt(99) - sqrt(99))*-5 + (sqrt(99) + -1)*-3))**2.\nAnswer: -29852 - 1260*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-8))\/((-24)\/160*-20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 277423277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1102527 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**5\/20 - 433*b**4\/6 + 187489*b**3\/6 - 415*b. Let v(a) = 0. Calculate a.\nAnswer: 0, 433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 4*k. Let c(v) = v**3 - 17*v**2 - 41*v + 65. Let o be c(19). Let l be -3 - (8 - 64\/o). What is b(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11960053, -11960045, -11960033, -11960017?\n\"Answer: 2*o**2 + 2*o - 11960057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/33)\/((-7)\/(-42)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 11. Let m be a(4). Let t(k) = -k**3 - 6*k**2 - 6*k - 4. Calculate t(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6933 divided by 2311\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -19, -6, 21, 68, 141, 246, 389, 576?\n\"Answer: y**3 + y**2 + 3*y - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.88574nm to centimeters.\nAnswer: 0.000001188574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2457212 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 692 and 204062669?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-261)\/(-72) + -2 - (-4)\/(-2). Put -3\/10, 3, j, -2\/41 in decreasing order.\nAnswer: 3, -2\/41, -3\/10, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 159 - g + 4*g + 18*g**2 - 143. Is b(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:03 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 11*m = 279, 0 = 4*s - 32*m + 28*m + 76 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.2 - -13.25. Which is greater: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k - 4. Let l(d) be the first derivative of d**2\/2 - 1292. Determine l(j) + y(j).\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 152 and 1406?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6368 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.19 and -899471225?\nAnswer: 899471226.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/42 and -47\/75.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l**2 - 6*l - 5. Let z be v(-3). Is 13 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/326 and -89\/184842.\nAnswer: 184842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 4*l - 8, -2*j + 3 = -7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 347\/4 or 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**5 - 23*u**4 - 31*u**3 + 5*u**2 + 4619*u - 2 wrt u?\nAnswer: -180*u**2 - 552*u - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d = 2*d + 2667*k - 2668*k - 45, 14*k = 13*k - 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3*s - 7 = 2*s, 4*w - 5*s + 6 = 19 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 - j + 6*j - 10*j + 5*j.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12\/45 + (-135)\/((-11475)\/34)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 217*p**2 + 241*p**2 - 922*p**2 + 242*p**2 + 241*p**2.\nAnswer: 19*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w**3 - 22*w**2 + 153*w - 324 = 0. Calculate w.\nAnswer: 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**2 + 54*h + 70. What is u(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -1. Let v = d + 2. Calculate the remainder when v is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1779)\/(-3) + -5)\/1.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of t**4\/24 - t**3\/2 + 2*t**2. Let w be g(3). Suppose w = n + 2 - 7. Solve n - 2 = d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 43301892, 1, 5 in ascending order.\nAnswer: 1, 5, 43301892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v + 108*v**2 + 23*v - 37*v.\nAnswer: 108*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4473 or -1172133\/262?\nAnswer: -1172133\/262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x = -11*x + 4*n - 19, 11*n - 48 = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*u**5 - 2*u**3 - 66*u**2?\nAnswer: 5400*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -373340 divided by -18667.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -154, -566, -1384, -2746, -4790, -7654, -11476?\n\"Answer: -23*h**3 + 4*h**2 + 5*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*c + 245. Let a = -68 - c. Let t = a + -45. Calculate the remainder when t is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/4))**48)**(9\/7))**47 assuming t is positive.\nAnswer: t**(-5076\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*f - 2 - 2\/3*f**2.\nAnswer: -2*(f + 1)*(f + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3719491, 3719490, 3719489?\nAnswer: 3719488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -p - 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 212\/3 + -72. Suppose 8 = -4*j, -j + 6*j - 6 = -4*q. Sort c, q, -0.2 in increasing order.\nAnswer: c, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59510 and 25740.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*g - 6, 0 = 4*g - 0*g - 4*o + 12. Suppose -4*z + z + 687 = g. Let x = z - 141. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide (3 + -1769 + 6)*(-2)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 308665.9 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, u: 1, d: 1, j: 1, n: 2, h: 1}. What is prob of sequence djn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 529 divide 54723992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -46*r + 3. Let t be f(2). Suppose 0 = -b - 7, 0 = 3*q - 4*b - 48 + 8. Find the common denominator of -81\/4 and q\/(-80)*(-6 - t).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of u**8\/6720 - u**7\/360 - u**5\/120 + u**4\/6 - 4*u. Let t(n) be the third derivative of x(n). Let a be t(7). Is a equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1032)\/215)\/(1008\/7245)?\nAnswer: -69\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -4, -2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4453422619.\nAnswer: 331, 13454449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 1096.4?\nAnswer: 109.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 452, 895, 1326, 1739, 2128, 2487, 2810, 3091?\nAnswer: 3324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410068883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -185.1239 rounded to 1 dp?\nAnswer: -185.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 1074.\nAnswer: 7518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a hour in minutes?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -460554 (base 7) to base 15\nAnswer: -19413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 36534256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/42 - (-38)\/(-14). Let w be u*((-32)\/6)\/4. Solve -w*a = 2*b - 8 - 6, 4*b - 8 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 456*q - 915*q + 18*q**3 + 459*q.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 144*z**2 - 27647*z - 189. Give i(192).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -6201.9839 rounded to the nearest one hundred?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*f + 40 = 0, 0 = 3*f - 2*f. Suppose 8 = 4*d - u. Suppose 4*z = 16 + d. Solve 3*m + 9 = -p, -m - p + z = 2*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 150, 3, -1, -433 in ascending order.\nAnswer: -433, -4, -1, 3, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.205 - 2.905. What is the closest to w in -1\/143, 2, -0.5?\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22323133213 - -11?\nAnswer: 22323133230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33982 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -2*k - j, 2*k - 3*j - 354 = -2*k. Let t = -51 + k. List the prime factors of t - 0\/(1 + -4).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.04 - 0.04. Let t = q + -6. What is the nearest to 1 in 0.5, 3, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 407, -3, -4 in decreasing order.\nAnswer: 407, 10, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -126*n - 25. Is z(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 3013?\nAnswer: -3011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-9)*-5*(-2277)\/(-460).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*2\/3)\/(2\/(-6)). Solve 4*v = 4*g - 5 - 15, -c*g - 2*v = 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 - 49. Let q(y) be the second derivative of -1\/3*y**3 + 0*y**4 - 2*y + 0 + 1\/10*y**p + 0*y**2. What is the second derivative of q(z) wrt z?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.069? (a) -2 (b) 0.23 (c) 1\/39 (d) 69\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 111287?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3 - 8. Let w be ((-14)\/(-8))\/(m*4\/16). Let p(h) = -3*h - 6. Determine p(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*j*n*p**2 + 5*j*n*p + j*n - 9*j*p + 5587416*n*p**2 + n*p - 169*p - 53 wrt p.\nAnswer: -158*j*n + 11174832*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o + 2. Give z(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -53 + 35. Let o be (-2)\/s - 29\/(-3). Suppose 9*j = 4*j - o, -4*v - j = -2. Calculate the highest common divisor of v and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1916435 - -1917685.29936. Let v = w - 1250. Let c = v + -0.3. Round c to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 44, 53, 64, 77, 92?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-15 + (13 + 6 - 16))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.08, -0.04, 1, 5, 415?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*p + 25 - 97. Solve -2*f - p = v - 3*v, 5*f = -2*v - 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25277, -25232, -25187, -25142?\nAnswer: -25097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-420)\/(-26) + (-222)\/(-78) + -3. Suppose 2*f - 27 = 69. Calculate the highest common divisor of f and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*f + 2. Let i(v) = 3*v + 7 - f + 2*v**3 + 6*v**2 - v**3. Let r = 5163 - 5169. Give i(r).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30612 - -30705. Solve 40*m - t - 67 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 187*o**2 + 2802*o - 2615. Determine j(-201).\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-3)\/((r**(-6)\/r)\/(r*r\/(r\/r**2))) assuming r is positive.\nAnswer: r**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**4\/12 - 11*h**2\/2 + 9*h. Calculate the remainder when r(-8) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 - 1512 = 120*v - 75*v + 103*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 283, 1\/2, 58?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8044086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 10*c**2 + 2*c - 1. Let k be u(1). Let m = 24 + k. Suppose -o - 4*o = -m. What is the smallest common multiple of 3 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2594, 2604, 2624, 2654, 2694, 2744?\n\"Answer: 5*b**2 - 5*b + 2594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 93865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**5\/6 + 31*n**4\/6 - 3*n**3\/2 - 1951*n**2\/6 + 10*n\/3 + 1218 = 0.\nAnswer: -29, -9, -2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 + 96. What is the greatest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(150)\/sqrt(5))\/sqrt(6))**2.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - 0) + -170 + 208 + -61.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/24 + (-3)\/12. What is the fourth smallest value in 0.3, m, -0.15, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*c*h + 574*b**2*c + 73562*b**2*h + 4*b**2 - 34*c*h + 2*c - h with respect to c.\nAnswer: 2*b**2*h + 574*b**2 - 34*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t = 121*t + 91*t + 167*t + 554 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1237*i**4 - 6*i + 4645 wrt i?\nAnswer: -4948*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*-1 - (-1168)\/24. Let o = s + -46. Let w = -858\/665 - -12\/133. Which is the closest to -1\/3? (a) w (b) 18 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1885 + 1620. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-3*sqrt(7) + -3 + sqrt(252))**2.\nAnswer: 72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*i - 8, 4*t - 17*i + 1511 - 1477 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*p = 58, -3*p + 49 = -3*k + 25 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 145091*y + 54 + 145117*y.\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/114*3\/(-2). Let z = 23\/38 + m. What is the nearest to z in 0.1, -1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 3*h**2 - 4*h + 1. Let n be u(-4). Suppose -p + 5 = -n. What is the greatest common divisor of 54 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*1*12*-1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (33262\/5)\/(-14 + 497\/35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 10:19 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 65\/10*(-52)\/(-845). Factor 4\/5*a + 0 - h*a**2.\nAnswer: -2*a*(a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of 256*p**7\/7 - 7*p**3 + 2*p + 165. Find the third derivative of n(q) wrt q.\nAnswer: 30720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 866*l + 8560.\nAnswer: (l - 856)*(l - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113060985 is divided by 13716.\nAnswer: 13713","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 7*w**2 + 2*w + 6. Let a(v) = 2*v**3 - 6*v**2 - 2*v - 5. What is 6*a(m) + 5*g(m)?\nAnswer: 2*m**3 - m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = x - 3*x - 4*l, -5 = -5*l. Calculate the common denominator of -23\/12 and 296\/288 - (-2)\/x*-3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 613185 * -34\nAnswer: -20848290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 4*o + 29 = -18, 0 = -l + 3*o + 215 - 198 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 806 - 2419\/3. Let d = 92.85 - 91. Let q = 0.15 + d. Sort q, -3\/7, i, 1\/4 in increasing order.\nAnswer: -3\/7, i, 1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45293*u*w**4 + 2*u*w**3 + 22*u*w**2 - w**4 + 3*w**2 - 1754*w + 18 wrt w.\nAnswer: 1087032*u*w + 12*u - 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**4 - 208230*m**3 - 6242685*m**2 - 11860700*m - 5826240 = 0. Calculate m.\nAnswer: -41616, -28, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1777699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2.9, 0.3, 0.2?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 28.9 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d**2 - 2*d + 5. Let a be j(0). Solve 16 = k - a*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 6. Let m be o(0). Suppose -5 - 1 = -m*w. Is (-4 - -1412) + w - 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 - 3?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.47584335 to 3 decimal places.\nAnswer: -2.476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m**2 + 15*m + 17. Calculate the least common multiple of 3 and t(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/9)\/(58\/57). Let m = -341\/116 + z. Is m at least -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5445 + -23.\nAnswer: 5422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = -u + 2*k - 0*k, 80 = 18*u + 4*k - 110 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 3*k + 4. Let h be j(3). Suppose l - 4*p - 19 = -6*p, -56 = -4*l + 2*p. Let i be (-24)\/(-60) - 6\/l. Solve h*t = -i + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/((((f*f**4)\/f)\/f)\/f))\/f**(2\/11))\/((f*f*f*f**(-1\/3)*f)\/(f\/f**2*f)))\/((f**(2\/17)\/(((f*f\/f**1*f)\/f)\/f))\/(f**5\/(f\/f**(-1\/8)))) assuming f is positive.\nAnswer: f**(-4897\/4488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s\/(s**(2\/11)*s))*((s**(2\/23)\/s)\/s*s)\/s*s*(s**(-1\/14))**(3\/40) assuming s is positive.\nAnswer: s**(-104359\/141680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8855 - 717257\/81. Which is the second smallest value? (a) 0.5 (b) -2\/13 (c) 0.05 (d) v (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -476 less than -476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 55, 64, 105, 196, 355, 600?\n\"Answer: 3*d**3 - 2*d**2 - 6*d + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 10 - 106. Which is the second biggest value? (a) 2 (b) 1\/2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 8*n - 240 = 0. Calculate the greatest common factor of 248 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2863509 to the power of 1\/2, to the nearest integer?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2. Let u(p) = -645*p + 319*p + 316*p. What is u(j(f))?\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(48)*2 + (sqrt(48) + 2 - sqrt(48)) + 3)**2 + 0.\nAnswer: 128*sqrt(3) + 256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1011, -1016, -1021, -1026, -1031?\n\"Answer: -5*p - 1006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 1. Let q(m) = -1. Let o(c) = -1. Let j(y) = 5*o(y) - 4*q(y). Let x = -9 - -8. Let n(u) = u - 4. Let k be n(5). Give k*j(r) + x*z(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -5\/18*i**3 + 1\/12*i**5 - 1\/90*i**6 + 0*i**2 + 0 + 1\/36*i**4 + 83*i. Let w(c) = 0. Calculate c.\nAnswer: -1, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1860 - -1864. What is the third smallest value in 2, 1.8, h, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 6:44 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 1:59 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223 - 226. Which is the third smallest value? (a) o (b) 0.2 (c) -40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - -33 - 27 - -9 - (-1 + -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w - 28. Let s be k(19). Let l = 15 - s. Sort 1, -2, l in ascending order.\nAnswer: -2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 5*u + 4*u)*(3*u**2 - 5*u**2 + 0*u**2 + (-6*u + u + 0*u)*(3*u - 2*u + 0*u)) + 2*u**3 + 0*u**3 - 4*u**3.\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 520 - 517. Solve -27 = 5*s + 3*r, u*s = -s + 3*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 1354 = -2348. Sort -9, n, 2 in descending order.\nAnswer: n, 2, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 + 207*j**2 + 5250*j - 13089. Give s(-23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 365, 823, 1455?\nAnswer: 2261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17439, -34578, -51415, -67950, -84183?\nAnswer: -100114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 - 65. Calculate the smallest common multiple of k and 88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170870\/75 - (-24)\/(-90) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(704) + 1 + sqrt(704) + -5)*-4)**2 + (sqrt(704) - (0 + sqrt(704))*5) + (4 + -2*sqrt(704))**2.\nAnswer: -8352*sqrt(11) + 184080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1889251 is divided by 629383?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -1\/3*l**3 + 1\/12*l**4 - 2*l + 0 + 1\/2*l**2. Factor r(y).\nAnswer: (y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 642883 and 3088?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-3)*12\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - 1111011101100?\nAnswer: -1111011101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 172 - 139. What is the remainder when r is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 159\/3514280 and -43\/15680.\nAnswer: 28114240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1148920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 748511 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 3*f**2 + 3*f**2)*(-3*f + 0 + 0)*(-1 - 4 + 4 + (1 - 3 + 0)*(-1 - 3 + 2) - 2 + 1 + 3) + 2*f**2 - 3*f**3 - 2*f**2.\nAnswer: 27*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 11:39 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66536*s + 133085*s - 66540*s.\nAnswer: 9*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -103*l + 1458. Determine u(13).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuqukquhquhqqkqhhkhm. What is prob of sequence hh?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) -2\/3 (c) 5 (d) -5\/19 (e) -6\/121 (f) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238 + 0*c**3 + 351 - 3*c**3 - c**3 - 54 + 3*c**3 - 52.\nAnswer: -c**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -2, 3, -5, -235, 269 in decreasing order.\nAnswer: 269, 3, 2\/15, -2, -5, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 5. Let f(m) = -m**3 + 7*m**2 + m + 4. Let y be f(3). Let v = -117 + y. Let a = 78 + v. Give s(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + h**2 + h - 380. Let m be v(0). Let s = m + 697\/2. Let r = -1553 - -12377\/8. Find the common denominator of r and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2 - 7*o + 3*o**2 - 3 - 2. Let u(h) = -3*h + 14. Suppose 18 = 3*t - x, -3*t - 2*x + 13 = -5. Let q be u(t). What is a(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 - 3*w\/4.\nAnswer: -w*(w + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - -26 - (10 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 6*w**2 + 7*w - 5. Let s be n(5). Suppose 0 = -5*r - 5*j - 25, r - 25 = -r + s*j. What is the smallest value in r, -0.3, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 4958.\nAnswer: 49580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - i**2 + i + 1. Let l be h(0). Sort l, -0.1, -0.3.\nAnswer: -0.3, -0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((4\/3)\/1)\/((-2332)\/(-318))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.636 to one decimal place.\nAnswer: 7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/5)*m**(-1\/10))\/(m*(m*m**(1\/5))\/m)**(-29) assuming m is positive.\nAnswer: m**(349\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010906312 rounded to five dps?\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 3, p: 1, a: 3, x: 3, r: 2}. What is prob of sequence xbp?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29055629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -8. Suppose -2*m + w*m = 8. Suppose -3*z + m - 5 = 0. Which is bigger: z or -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u + 3*u**3 + u**3 + u**3 - 79*u**2 - 4*u**3 - 11*u.\nAnswer: u**3 - 79*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*((u\/u**(-11))\/u)\/u))\/u)\/((u\/((((u**(-1\/3)*u)\/u)\/u)\/u*u))\/u) assuming u is positive.\nAnswer: u**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-4*sqrt(75)).\nAnswer: -sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aye when three letters picked without replacement from {y: 1, p: 4, a: 2, e: 1, v: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/3, -3113 in descending order.\nAnswer: 0.5, 1\/3, -3113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - 86\/(80496\/17732).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r + 1. Let l = 9 + 1. Let c be 65\/25 - (-4)\/l. Sort -5, c, r in decreasing order.\nAnswer: c, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**4 + 3*m**2 + m**2 - 3 + 3*m**4 + 6*m**3 + 0. Let w(h) = 2*h**4 + 6*h**3 + 4*h**2 - 2. Let n(l) = 4*q(l) - 6*w(l). Factor n(g).\nAnswer: -4*g**2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = 4*t, -5*i + 2*t + 35 = -3*t. Suppose -3000 = -0*j - i*j. Round j to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) + 541\/7. Let c = i - 229\/3. Let k be (-2)\/13 - 70\/728. What is the closest to k in 0.4, c, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-16)*632\/(-2370)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q + 4076 - 4076.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4101404843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 7\/((-14)\/96996). Let z = -21501 + b. Round z to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 446762, 446759, 446756, 446753?\nAnswer: 446750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 34824.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20021211 (base 3) to base 8.\nAnswer: -10751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -16*c + 276. Let m be p(15). Calculate the highest common divisor of 192 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 440, 898, 1362, 1838, 2332, 2850, 3398, 3982?\n\"Answer: p**3 - 3*p**2 + 460*p - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*9\/(-78)*1\/(-2)*(-1870)\/8415?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 0 - -1 - ((10 - 23 - -11) + 85)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 439?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.4 (c) 1.9 (d) 1\/2 (e) 5 (f) 10 (g) -0.109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 256 - 250. Solve 6 = 2*x, -y - 2*x + s = -0*x for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031 (base 4) to base 6.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9585680 and 24?\nAnswer: 230056320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = y - 8, -t - 12 = -3*y - y. Let h = 11.8 - 2.2. Let z = h - 10.1. Which is the fourth smallest value? (a) 1 (b) 0 (c) t (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 6. Let i be h(-13). What is the remainder when 63 is divided by 4\/i - (-222)\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.029+-2\nAnswer: 0.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 38733794 - 23*u - 38733794. Let k(s) be the third derivative of -s**4\/12 + 2*s**2. Determine k(h(x)).\nAnswer: 46*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 110500 + -214455?\nAnswer: -103655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1359 = -1679*m + 1670*m. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x = -3*k + 197, 4*k = 5*x - 285. List the prime factors of x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 4*u - 5. Suppose 2*k - 12 = -2*k. Suppose -k*v + 34 = 4*l - v, 4*l = 5*v - 1. Let i be x(l). Let n(q) = q**3 - 6*q**2 - 8*q. What is n(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 4*z - 3. Let d be t(2). Suppose 2*k + d*r = k + 5, -4*r = -5*k - 4. Solve -s + 2*s + 4 = k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = g + 5*z, -6*g + 5 = -7*g + 5*z. Let x(f) = 2*f**2 - 3*f. Let u be x(2). Let o be (-3)\/(g + -4)*u. Sort 0, o, 1\/7 in ascending order.\nAnswer: o, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70297811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1356\/(-226)*(-2)\/(-60))\/(4\/1020)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 57 = u, 29*o + 42 = 31*o - 4*u. Let h(b) = -b + 5. Let k be h(7). Put 4\/3, o, k in descending order.\nAnswer: o, 4\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 q when three letters picked without replacement from {a: 2, q: 13, d: 1, j: 3}?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5)\/g**(-2))**6 assuming g is positive.\nAnswer: g**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 5*x**7\/42 + x**6\/6 - 3*x**5\/4 - 5*x**4\/12 + 5*x**3\/3 - 11*x - 3. Factor v(w).\nAnswer: 5*w*(w - 1)**2*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by -2644.\nAnswer: -21\/2644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -310299142?\nAnswer: 310299145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-5)*(50 - 40). Suppose 17*i = r + v*i - 724, 5*i = -25. What are the prime factors of r?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 66*z**2 + 361*z - 65. Determine h(60).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12881425 and -4.\nAnswer: 51525700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2911542 is divided by 351?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k*k\/((k*k\/((k*k*k**6*k)\/k))\/k)*k)\/k)\/k*k)*k)\/(k**9\/k))\/((k\/(k*k**(-8))*k)\/(k\/(k*k**(3\/2)*k))) assuming k is positive.\nAnswer: k**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -92.2 and -1.\nAnswer: 92.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 0. Sort 2, 5, p in increasing order.\nAnswer: p, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15.9 - -470.1. Let r = -485.99999382 + o. Round r to 7 decimal places.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 25. Let y(j) = -647*j - 4. Let x(f) = 1940*f + 12. Let b(n) = 2*x(n) + 7*y(n). Let v be b(c). What is v rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 8*w - 9*w. Suppose 13*p + w + 22*p**2 - 25*p**2 - 6*p**4 - 15*p**3 + 2*p = 0. Calculate p.\nAnswer: -3\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 9 - q**2 + q**2 + 6*q + 2*q. Let f be y(9). Is -2 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*u - 15 = 0, 3*l - 4 = -4*u + 5. Let f(z) = l - 4 + 3*z + 2*z - 4*z. What is f(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - o - 317 = 0, 2*o = -3*c - 6 + 485. What is the remainder when c is divided by ((-6)\/(-8))\/(111\/2960)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/2*(-410)\/(-779). Let b = n + -387\/323. Put b, 0.5, 3, 2 in decreasing order.\nAnswer: 3, 2, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.98396?\nAnswer: 0.295188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 7 - (2 - -2) - 6) + 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g - 7*g + g)*(-45*g + 3415 - 3415)*(-90*g + 90*g + 4*g**2) as z*g**2 + j*g**3 + o + y*g + x*g**4 and give x.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 113694?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9)\/5*(-22815)\/(-507).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 < -82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 3. Let f be c(-10). Let y(m) = -5*m - 3 - 3*m**2 + 11*m**2 - 1 - m**3. What is the lowest common multiple of y(f) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**3 - 12*m + 13. Let t(s) = -8*s**3 + s**2 - 14*s + 14. Let o(f) = 7*h(f) - 6*t(f). What is o(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 4 = -2*x + c, 5*x - c = 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195470583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 5*w + 4*w - 19.\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ae5d + -2?\nAnswer: -2ae60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-53*d**2 + 92*d**2 + 14*d**2 + (2*d - 3*d + 0*d)*(-4*d + 4*d + d))*(-120*d - 112*d - 27 + 236*d) as k*d**3 + i*d + a + j*d**2 and give j.\nAnswer: -1404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 13004453143?\nAnswer: -13004453152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 35040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/518)\/(6\/36)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j + 1. Let t(u) = 8*u**2 + 2*u + 2. Let w be t(-2). Suppose 6*s = s + w. Let r(p) = -9*p - 2. Give s*r(d) + 11*k(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36205 - -66801. List the prime factors of u.\nAnswer: 2, 7649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430 a factor of 145522980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -401204101 (base 5) in base 15?\nAnswer: -214901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1382.2 - -1382. Put h, 0.2, -3\/8, 0.4 in descending order.\nAnswer: 0.4, 0.2, h, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 320529 = 18*r + 21*r. Does 24 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 752.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (-37 + 16 - 10 - -3)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*z = -439, -x + 0*x + 3*z + 103 = 0. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05579351 rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061445 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 21898 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 2*p - 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r + 27. Let b be ((-1)\/(9\/42))\/(8\/12). Let i(n) = -10*n + 40. Give b*a(v) + 5*i(v).\nAnswer: -v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -1, 4, 91 in increasing order.\nAnswer: -21, -1, 4, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -53*y**6\/15 - y**5\/10 - y**3\/6 - 23*y**2\/2 + 2*y - 45. Find the second derivative of o(j) wrt j.\nAnswer: -1272*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 87, 289, 675, 1305, 2239, 3537?\nAnswer: 5259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 4*a + 6*a)*(a + 2*a - a)*(2*a**2 - 2 + 2) + 59*a**4 - 96*a**4 - 56*a**4.\nAnswer: -85*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 10*k - 10. Let i be l(11). Let q be 0\/i + (-15)\/(-3). Suppose -34 = -q*v - 4. Does 6 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, k: 4, r: 2, p: 1}. What is prob of sequence pkwk?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469384 is divided by 6204.\nAnswer: 4084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/39)\/(-6*12\/(-108))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 39) + -11 + 7 + -18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41061920 divided by 5420\nAnswer: -7576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7)*f)\/f*f\/((f\/(f*f**(-3))*f)\/f*f))**(1\/15) assuming f is positive.\nAnswer: f**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/156 and 80\/1827.\nAnswer: 95004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b**2 - 2*b + 0*b + 0*b + 7. Let c = -11 + 13. Let w(m) = -3*m**c - 5*m**2 + m**2 + 46 - 52 + 2*m. Determine 6*k(p) + 7*w(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 138*b + 4. Let u(o) = 3*o. Determine z(u(f)).\nAnswer: 414*f + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**5\/9 - 108*n**4 + 28942*n**3\/3 + 1065200*n**2\/9 + 108600*n = 0.\nAnswer: -10, -1, 0, 135, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11527 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + k - 1. Let c(j) be the first derivative of -j**3\/3 - j**2 + 2*j + 5. Let v(d) = c(d) + 2*w(d). Let t(r) = -4*r - 96 - 85 + 181. Give t(v(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*k**3 + 35*k**3 + 40*k**3.\nAnswer: 41*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 v when two letters picked without replacement from vvuuuuu?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i**3 + 6*i**2 + 4*i - 8. Let w(x) = 5*x**3 + 7*x**2 + 5*x - 9. Let g(o) = -4*w(o) + 5*z(o). What are the prime factors of g(3)?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1559 and 36?\nAnswer: 56124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*m**3 - 26*m**2 - 8*m.\nAnswer: m*(m - 4)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**5 - 4*k**5 - 3*k**5 + (-4*k**2 + 5*k**2 + 0*k**2)*(5*k**3 - 3*k**3 - k**3) - 5*k**5 + 0*k**5 + 0*k**5 - 2 - 2*k**5 + 2 - 36*k**5 - 403*k + 403*k.\nAnswer: -46*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 0.4, -5\/6, 0.2 in ascending order.\nAnswer: -5\/6, 2\/13, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**2 - x - 1. Let p(k) = 4*k**2 + 29*k + 3. Let c be p(-7). Let m be -5 + 7 - (-1 + c\/(-4)). Determine a(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34247*q**2*u**2 - 95*q**2*u + 5*q**2 + 9*q*u**2 - 295289*q - 3*u**2 wrt q?\nAnswer: 68494*u**2 - 190*u + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = 3*o - 4*b, -o + 571*b = 565*b + 65 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67 + 67 - 14*u**4 + (8 - 8 - u**4)*(5 + 0 - 3).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 63*x - 60. Calculate p(-9).\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (104\/78*21\/4)\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 17*y + 7. Give q(-10).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c - 34. Let l be n(5). Let v = -47 - l. Suppose 0*z + 3*z - 9 = 0, -5*b + v*z + 99 = 0. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-5)\/(-4))\/(25\/100)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, 4, 541, 281, 0, 7 in decreasing order.\nAnswer: 541, 281, 7, 4, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**2 - z**2 - z**2)*(3 - 3 + 3*z)*(0 + 2 - 3 + (2 + 0 + 0)*(0 - 2 + 0) + 2 + 0 + 1) to q*z**2 + x + r*z**3 + s*z and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 916770 is divided by 473.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkkg when four letters picked without replacement from {k: 7, g: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, -7, -27, -47, -67, -87?\n\"Answer: -20*y + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2750 and 0.402.\nAnswer: 2750.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.002, -12, 2\/61 in ascending order.\nAnswer: -12, -0.002, 2\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 - 4*s**2 + 7*s - 3. Let c be a(-6). Let l = c + -238. Solve -l*y + 2*r = 23, 3*y + 2*r + 12 = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1 + sqrt(2736)*1 + sqrt(2736) + sqrt(2736) - sqrt(2736))**2 + -4 + -3 + (sqrt(2736) + -1 + sqrt(2736) + 0)**2).\nAnswer: -87532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40201445 (base 6) to base 16.\nAnswer: -115445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -88*y + 19116 + 49700. Does 24 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*v + 26 = 0, -z + 2*v = z - 40. Calculate the common denominator of (-4)\/z + (-1418)\/(-468) and 107\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-3))\/(246\/(-1722)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + b + 88. Let r be y(0). Let v = -14 + 20. Let s be 45\/v - (-1)\/2. Calculate the greatest common factor of s and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253365 rounded to the nearest one thousand?\nAnswer: 253000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21166 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2694, 5420, 8192, 11034, 13970, 17024, 20220?\nAnswer: 23582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -316068346*o**3 - 93230*o**2 + 186460*o + 279690. Let n(k) = -37292*k**3 - 11*k**2 + 22*k + 33. What is 93230*n(w) - 11*s(w)?\nAnswer: 18646*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b - 2. Let i be m(3). Suppose -5*z = -0*z - 5, 3*p = 5*z + i. Let q = 30 + -25. Solve 0 = p*g + q*x + 18, 2*g - x = x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 5*t**2 - 6*t + 4. Let j = 11 + -17. Let a be (-45)\/j + 6\/(-4). Let x be l(a). Solve 0 = -v + x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + -5*((sqrt(117) - 2*sqrt(117))*-4 + -1)))**2*2.\nAnswer: -24000*sqrt(13) + 2340800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15691, 31375, 47059, 62743?\n\"Answer: 15684*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/144 and 7\/((-315)\/34) - (8 + -9)?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1486199*o**5 + 51*o**3 + 61315119*o**2.\nAnswer: -89171940*o**2 + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 7, -16, -59, -128, -229, -368, -551?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -f - 3*f. Let w(t) = 9*t - 15. Let s(b) = -4*b + 7. Give f*w(x) - 13*s(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2061 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 153103 + -1206?\nAnswer: 151564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from dlel?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2460702 (base 9) to base 16.\nAnswer: -146e85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**5\/15 + s**4\/4 + s**3\/6 + 2*s. Let q(g) be the second derivative of j(g). Let v(k) = -k - 1. Give -q(z) - 6*v(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5967 - -6016. What is the remainder when a is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/3, 1, -6421\/5 in descending order.\nAnswer: 19\/3, 1, -6421\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 7\/((-98)\/(-12)). Suppose -f + 0*f + 2 = 0. Suppose -3*r - 4 = 2*z + 6, 5*z = f*r + 13. Which is bigger: z or x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1356036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 1)*((-p + 0*p + 0*p)*(4*p - 5*p + 0*p) - p**2 - p**2 + 4*p**2)*(-7*p + 0*p + 3*p) to a + r*p**3 + j*p + b*p**2 and give r.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36618, 36495, 36376, 36261?\nAnswer: 36150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224 + 32*b + 227 + 12*b - 451.\nAnswer: 44*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 88. Suppose -74 + k = 5*t. Solve -i = t*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -16*u - 2. Let b be p(-1). Let c = b - -1. Which is greater: c or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 28 = -9*b + 10, -2 = b + 4*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcclblaaffbfpfal. Give prob of sequence cpa.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1557 a factor of 1865410560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = q + 20. Let i(w) be the third derivative of 0 - 1\/6*w**3 + 2*w**2 - 1\/60*w**q + 0*w - 1\/24*w**4. What is i(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b + 402. Suppose -7 = h - 5. Is h\/(408\/b + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-96)\/(-10)*(-100)\/(-8). Suppose -r + 3 = -12. What is the greatest common factor of z and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 2\/5 (c) 2\/13 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7733388 and 1602.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 - -11) - -12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**3\/3 + 240*d**2 - 14400*d + 288000 = 0. Calculate d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 121 + 7?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) 1 (c) 3\/8 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.7727 times 2732\nAnswer: 2111.0164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is cc1 (base 14) in base 12?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1469, 1443, 1401, 1343, 1269?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33991 and 17879?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 3:18 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -158 - 352. Let p = 439 - u. List the prime factors of p.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1608*(-68)\/(-4080))\/(9\/(135\/6)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -3 + 5 + (-4 - -4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 3\/(-45) + (-6 - -4) + 217\/105?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 32\/12)*-3. Suppose 3*t = -j*z + 22, 4*t + 5*z - 30 = -t. Let m(k) = -5*k - 2*k + k - k**2 - t. Give m(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13977 + 698881\/50. Find the common denominator of 157\/420 and z.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsxxvdsxvalv. What is prob of picking 2 l?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10566 + 10618. What is the fourth biggest value in -0.1, -2\/3, -8, a?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**2 + 10*r - 99. Calculate the remainder when j(6) is divided by 121.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6905 and -0.9.\nAnswer: -6214.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 834.82 and -0.32?\nAnswer: -267.1424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*d - 80, 2*d - 4*b - 24 = 32. Suppose 0 = -i - 3*y - 7, 46*y = 3*i + 51*y + 5. Solve 3*k - 7*f + 3*f = -d, 3*k - 9 = -i*f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*d - 19 - 41 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 9590790 and 9590793 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 6:06 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 82157 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 203949936 to the nearest integer?\nAnswer: 14281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3 - 17 = 0, 0 = m + 4*q - 20. Suppose -4*i + 2*y - 2 = 0, m = 4*y - 0 + 20. Calculate the least common multiple of 11 and (-2 - 1)*7\/i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30 - 1547\/(-51))\/((-1)\/(-18)). Let p(o) = 6*o. Let g(l) = -54*l. Determine k*g(d) + 52*p(d).\nAnswer: -12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + -10. Suppose t - 4 = v - 13, t - c*v + 6 = 0. Let g(d) = -d**2 - 10*d. Let y be g(t). Is -1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**4\/12 + 110*y**2 - 5*y. Let s be a(0). Suppose -3*f = f - s. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -21025\/2*x**2 - 9\/2 + 435*x = 0.\nAnswer: 3\/145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52909.57ml to litres.\nAnswer: 52.90957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -30839, -61494, -92149, -122804?\n\"Answer: -30655*a - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-5 - (-147)\/27). Calculate the highest common divisor of v and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**2\/3 - 7*i\/3 - 44\/3 = 0.\nAnswer: -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f**(4\/9)\/f)\/f)**23\/(f**(-1\/5)*f)**44)**(-3\/8) assuming f is positive.\nAnswer: f**(2159\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345087 is divided by 3195?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 542432 divided by 31.\nAnswer: 542432\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 = -7*i + 34*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 7 = -2*z, b + 5 = 3*z - z. Suppose -99 = -s - z*a, 0 = -5*s + 3*s + 3*a + 191. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -109\nAnswer: -10.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22.8 times 4441\nAnswer: -101254.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1157227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2233061 divided by 8?\nAnswer: -2233061\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*v**4 - 6004*v**3 - 15382*v**2 - 1.\nAnswer: 72*v - 36024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1318*f**2 + 1984 - 2124*f - 1310*f**2 - 1315*f**2 + 142 + 3941*f**2 = 0.\nAnswer: -1063, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -83681*l**5 - 4*l**2 - 2*l - 37608 wrt l?\nAnswer: -5020860*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50510 is divided by 601.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-6))\/(-2*12\/48)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 4*g = -31, -2*g = 3 - 11. Round f to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/11 (b) 1\/40 (c) 105\/8 (d) -2\/15 (e) -4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3279.\nAnswer: 3, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 4*p - 9. Let y be w(-9). Suppose 3*a - y = -a. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**3\/9 + 27*f**2\/2 - 78*f + 4579. Find g, given that q(g) = 0.\nAnswer: 3, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 0.4, 2\/17, 0.2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -2 + 18 + (-14 - 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/2))**(9\/7)*(x**(-3))**(-1\/14) assuming x is positive.\nAnswer: x**(24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**0\/y))**(-14))**(-27)\/((y*y**(-3\/5)*y)\/(y\/(y\/(y\/((y\/(y\/y**(-7)))\/y)))*y))**(-3) assuming y is positive.\nAnswer: y**(5541\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 3*o**5 + 3*o**4 - 39*o**3 - 3*o**2 + 36*o = 0.\nAnswer: -4, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27*(-2)\/6)\/((-39)\/26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -26*b**3 + 48*b**2 - 82*b - 1. Calculate n(2).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*l = -703 + 131. Let a = 53 + l. Is a a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38090322 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 19 = 5*y - 10, y - 10 = 5*x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**21*q*q\/(q\/q**(-3\/7)))\/((q**(2\/47)*q)\/q**(5\/2)) assuming q is positive.\nAnswer: q**(15153\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 11}. What is prob of picking 1 t and 1 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -5. Let o be -13 + w + (-2)\/(-4). Suppose -11*i - 6 = 137. Does o = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10041 rounded to the nearest one hundred?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/234 or -1?\nAnswer: -1\/234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -12) + (-2 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2373606?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 0.2 (c) -7\/3 (d) 8 (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.75109 kilograms in nanograms?\nAnswer: 6751090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -d - 5, -3*r + 13 = d - 3*d. Suppose 0 = r*h - 2*h - 3. Suppose h*w - 600 = -9*w. Does 36 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2604726252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (451\/2 + 3)*34 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.8 - -28.8. Let v = 16 - 15.9. Which is the nearest to v? (a) 1\/7 (b) i (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 1 + sqrt(1100))*6 - (sqrt(891)*-1*4*6)**2) + -1.\nAnswer: -513187 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23741*j**4 + 2*j + 2*j**2 + 5 - 14*j**2 - 23411*j**4 - 5 to the form c*j**4 + m*j**2 + t*j**3 + f + p*j and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5))**30\/(v**9*v**(-8)) assuming v is positive.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 5482160.\nAnswer: -1\/5482160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -r + b, 516*r - 511*r - 3*b - 30 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/(z**(-1\/2)\/z)*z\/z**(1\/3)*z*z**(4\/7))**41 assuming z is positive.\nAnswer: z**(16769\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 10*g + 2. Let j be o(-5). Solve t = -2*w + 11, -4*w - t = -j*t - 7 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-18))\/((-2)\/4). Let w = -12 - -7. Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 700 = 4*r, 4*r - r - 5*y = 520. Let o = 1223 - r. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l = 39*l + 50 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 17 = -m + 6*m, 3*j + m - 1 = 0. Let o be (53 + -53)\/(j\/1). Solve -3*g + 7*g = 3*d + 26, o = 4*d + 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 20 = -c. Calculate the remainder when (-2)\/10 - 876\/(-30) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*q - 22 - 11, 0 = 5*q - 5*j - 75. Suppose -2*s = -20 + q. Solve -2*c = -4*m - 2, -8 = s*m + 5*c - c for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 5*n + 2*d + 2 = 0, 4*n + 4*d - 24 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -26. What is the remainder when y is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(637) + 5 - (2*sqrt(637) + 1)**2) + -4.\nAnswer: -2548 - 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -49, -73, -97?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -583 - -1243. Is 60 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4516 + 143?\nAnswer: 4659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146 - 147. Let j(z) = -3*z**3 + 3*z + 5. Let k(l) = -l**3 - l - 1. What is o*j(h) - 3*k(h)?\nAnswer: 6*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6) + -2 + (-53)\/159\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*l - 29*l - 2828 = 4*z, 2127 = 3*l - z. Calculate the greatest common divisor of l and 284.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5 - 4 - 2*b**2 - 9 + 0. Let c(z) be the third derivative of -z**5\/20 - 17*z**3\/6 - 4*z**2. Let f(g) = -5*a(g) + 3*c(g). Give f(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-27)\/15*(-4)\/42. Are j and 22 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1200*i = 67*i - 152848 + 12211 for i.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1389972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78817, 157181, 235101, 312577, 389609, 466197?\n\"Answer: -222*p**2 + 79030*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**2*t + 192782*m**2 + 61*m*t + 52741111*t wrt m.\nAnswer: -6*m*t + 385564*m + 61*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.694 - -3.385. Is p at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -o - 2*o + 7, o + 3*r - 9 = 0. Suppose o*x - 3 = 3. Suppose -q - x*q + 3240 = 0. What is q rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.09 in 8.1, -1\/2, -3\/7, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -2\/7 (c) -303810342\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1531 - 1507. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 11*j = 0. Suppose j = 6*l + l - 28. Suppose 3*n = d + 4 + 4, -5*n - 3*d + l = 0. Solve -2*i = n*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**4\/4 - 10*z**3\/3 - 9*z**2\/2 - 3*z - 4. Let b be k(-9). Calculate the smallest common multiple of (-3)\/9*-3 - b and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 14 (b) 0.2 (c) 2\/43 (d) 23774\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 105 = -6*v. What is the remainder when 39 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -665.8 and -627296.\nAnswer: -627961.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -68716, -68717, -68718, -68719?\n\"Answer: -l - 68715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 13 = 2. Which is greater: -4 or k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/b**12)\/b)\/(b**(-3\/14)\/b) assuming b is positive.\nAnswer: b**(-137\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 972.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1740000 rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -342391 + 89363537\/261. Let t = 22\/87 - z. Let b be (6\/16)\/((-3)\/2). Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12074 times 221.4\nAnswer: 2673183.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -714755\/266486 + 4\/12113. Let d = 4885\/42 + -359\/3. Calculate the common denominator of d and v.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 2*k**2 - k + 1. Suppose 0 = -d - 2*d - 6. Let z be u(d). What is the highest common divisor of 6 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-49))\/(300\/105)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -8. Solve 4*w + 30 - v = a, -3*a + 11 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13306 + 13299. Let b(k) = k**2 - k - 74. Give b(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 525172.6ml?\nAnswer: 525.1726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83227579?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r - 2*r + 2*r**4)*(r - r + 2*r) + (3 - 3 + 2*r**5)*(-98 + 42 - 118) + r**5 + r**5 - 3*r**5.\nAnswer: -345*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 6*r**2 - r + 2. Let f be j(-6). Let i = 323 - 323. Suppose i = n - f - 33. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 21*z**2 + 12*z + 2. Is n(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 a when three letters picked without replacement from aehpeeeeeheaehepp?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 70*j**2 - 1070*j + 4088. Give x(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*u + 45*u + 2*a - 304 = 0, 5*u - 796 = 4*a. Does 26 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:15 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57812 and 2716.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1105 divide 323356946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3355 = -446*d + 451*d. Let t = d + -47. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*c**3*y**2 + 27*c**3*y - 24*c**2*y**3 - 2*c**2*y wrt y?\nAnswer: 8*c**3 - 144*c**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v = 2*z - 318, 5*z + 4*v - 769 = 0. Suppose -z + 19 = -2*c + 5*u, 4*u = -16. Suppose -l = -0*l + h - c, -5 = h. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33311310330 (base 4) to base 13\nAnswer: b251a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*a - 10 = 11*a + 84 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 421 + -420.781. Round i to 2 decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-249)\/18)\/(1\/(-12)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from afnaraarfnrainrr. What is prob of picking 1 f and 1 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 21 (c) 2\/7 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 857 + -1224. Let a = -358 - o. Calculate the lowest common multiple of a and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7 + -346?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -678670 (base 11) to base 12.\nAnswer: -441184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29\/126 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1226 - -1269. What is the remainder when 51 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3302 + -0.0698. What is the nearest to -3\/2 in 0.4, -4, -5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 9:48 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 9 = 2*r. Let a be r*(1 - (-1)\/(-3)). Let w be (3\/a)\/(3\/6). Solve w + 2 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8037 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/42152 and -3\/13412.\nAnswer: 295064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Suppose q = -q + 4. Suppose -3*j - 6 = -4*c, -c - 5*j - q = -4*j. Let m be l(c). Is 0 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mhvb when four letters picked without replacement from {m: 1, b: 1, h: 3, d: 3, v: 2, a: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*1 + 5 + (-54128)\/16. Let a = 1\/15346 - 333781\/84403. Calculate the common denominator of (-8)\/(-28)*(7 - i\/140) and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 3849\nAnswer: 26\/3849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -11. Let b = 0.72 + -0.12. Let q = b + -5.6. Put -0.4, q, o in descending order.\nAnswer: o, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 3*w**2 + 19 - w**2 - w**3 + 2*w**2 + 13*w. Let u be f(10). Suppose 0 = -r + 50 + u. Does 33 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = h + 6. Let q be ((-99)\/27)\/(1\/h). Suppose -u = -5*v + q, -2*u = 3*v - 1 - 3. Calculate the smallest common multiple of v and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1344154 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -10063.\nAnswer: -56\/10063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2216 + 1156. What is n rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**5\/30 - 3*x**4\/8 + x**3 + 4*x**2. Does 9 divide u(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123, -138, -167, -216, -291?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 69 = -4*s - 75, -3*s - 24 = 5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**2 - 63*y**2 + 1129*y - 2*y**3 - 1129*y.\nAnswer: -2*y**3 - 48*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -326*c**2*s + 211*c*s wrt c.\nAnswer: -652*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -173, -274, -355, -410, -433, -418, -359?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25774?\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - 3)*10\/(-4). Suppose 3*r - m = 8, -2*m - k = -5*r + 4. What is the lowest common multiple of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 + 2. Let t = 6.66 + -7.56. What is the second smallest value in -3, v, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/((-25)\/(-45))*2\/(-2). Let i(h) = -7*h + 0 - 4*h + d*h - 4. Let m(w) = w. What is i(m(u))?\nAnswer: -2*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 3*d - 4*d)*(161*d**2 - 71*d**2 - 40*d**2).\nAnswer: -50*d**3 + 100*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (-1 + (sqrt(272) - (sqrt(272) + sqrt(272) + 2)**2)))*-1 + 1.\nAnswer: -1092 - 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 419628379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -1\/3 (c) 4\/3 (d) 2358\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5132 - -5742. Calculate the greatest common factor of 40 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357439235 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 520 = 3*w - 4*m, -4*w - 5*m = -547. Let r = w + -928\/7. Which is the closest to 4? (a) 4 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.6 - -123759304507.\nAnswer: 123759304512.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 3*j - 35 = -8*j, 0 = 3*i + 3*j - 21 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 407193831.2906 from -0.09.\nAnswer: -407193831.3806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 25?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10619626 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2313 - 2147. Calculate the greatest common divisor of k and 1909.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13447 - 2885. Suppose 0 = 3*x - v - 934. Suppose -x = r - 9*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.91504634 to 2 dps.\nAnswer: 4.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 151\/3 + -51. Let g = -51 - -46. Let c = 0.4 - 0.4. What is the nearest to c in 1, g, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 5. Let i be (3 - (o + -2)) + -2. What is the smallest value in 1\/4, i, 2\/3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g. Suppose 5*j - 4*v - 240 = g, 4*v = -4*j - 0*v + 156. Is ((-2)\/(-2))\/1*j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 127, 203, 319, 487, 719?\nAnswer: 1027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 15) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1218 + -534121?\nAnswer: -535340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -30. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 348*f**2 + 1586*f**2 + 6 - 2076*f**2 + 1323*f**2.\nAnswer: 1181*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p - 2*p + 6*p - 6*p + 42*p + 9*p + (1 - p - 1)*(-1 + 1 - 3).\nAnswer: 51*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.93367 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -2. Let h = -0.93886 + -0.06082. Let u = k - h. What is u rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = -102*a + 1089 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*u + 25*u + 51*u to the form w*u + y and give w.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -12, 5*r + 29*q - 23*q = 1. Let n(t) = -2*t**2 - 2*t + 1. Let p(u) = -2*u**2 - 2*u + 1. Determine r*p(s) - 4*n(s).\nAnswer: -2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 632010.108 rounded to the nearest 1000?\nAnswer: 632000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 351 (base 6) in base 13?\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 3577*g**2\/2 + 4931*g + 3287. Differentiate u(y) with respect to y.\nAnswer: 3577","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 126803 - 126531.143. Let m = s + -272. Round m to two decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/10 (b) -6121.3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*h - 9, 12 = 5*z - 4*h. Let y be (-1)\/(-4)*(1 + z). Which is the closest to -1\/3? (a) -4 (b) y (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-3))\/(-4)*(-385)\/((-57365)\/(-66156)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/5 + 124*x + 9610 = 0. What is x?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 6)*(o + o - 3*o) + 23*o - 252 + 129 + 127.\nAnswer: 25*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = 3*p. Suppose -150 = -p*k + k. List the prime factors of (k\/4)\/(6\/8).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -4, -49, 121 in ascending order.\nAnswer: -49, -7, -4, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2*z + 15. Suppose 6*l - z = 5*l. Suppose 308 = u + 6*u. What is the remainder when u is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74561037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*g + 100 = 3*k, 10 = -2*g. Suppose k*o - 24*o = -8. Solve -3*i + b - 1 = 3, o = b for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i = -2*i + 77150. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 greater than or equal to 2103\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 449 - 438. What is the lowest common multiple of p and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o**4 - 96*o**3 + 570*o**2 - 632*o + 168 = 0. Calculate o.\nAnswer: -14, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1 (c) 2684 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*f - 15, 4*i + 0 = 5*f - 3. Let v(j) = -j**3 - 8*j**2 + 10*j + 18. Let c be v(-9). Which is smaller: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -289 - -2315\/8. Which is the smallest value? (a) y (b) 0.09 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5 + 1340*o**4\/7 - 5942*o**3\/7 + 5788*o**2\/7 - 1200*o\/7 = 0. Calculate o.\nAnswer: -100, 0, 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 725, 1865, 12 in increasing order.\nAnswer: 12, 725, 1865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*w + 3*c - 45, w = 3*c - 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 2. Let k be v(4). Suppose 0*a + 4*a - 32 = 0. Let t = k + a. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i + 2. Let d be q(2). Let o be 1 - 0 - (-5 + d). Is (-657)\/(-2) - o\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -139, 0.5, -5309?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5774051 to the power of 1\/2, to the nearest integer?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aadd when four letters picked without replacement from adddddadd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 18 - -3) + (0 - -2 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-81)\/(-6))*3672\/816*-41?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*26\/(-455) + (-372)\/20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*x = 2, -3*n = -2769*x + 2768*x + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/16)*d**8*(d*d**(3\/4)*d*d)**(-17) assuming d is positive.\nAnswer: d**(-891\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 6:46 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (868\/42)\/(((-3)\/(-9))\/(3\/6))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) 4 (b) -2.5 (c) 0.3 (d) 5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55.08 - -55.38. What is the closest to -1.161 in -4, -4\/3, f?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s**2 + s)*(-13 + 13 - 9*s**3) + 8*s**2 - 6*s**5 - 2*s**3 - 8*s**2.\nAnswer: -24*s**5 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 231 + -140. Is t a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1151448)\/(-26) + 198\/3003*-7?\nAnswer: 2, 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -903, -3596, -8065, -14310, -22331, -32128, -43701?\nAnswer: -57050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*l - 136880 = 1995*l for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d - 75. Calculate q(17).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*j + 28 = -6*j, 3*j = u - 29. Suppose 62*s = 64*s - u. Which is the smallest value? (a) 0.5 (b) 2\/5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/481?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -6 + ((20 - 46) + 48 - -10)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9 + 9 - 16*r + 6*r + 46*r. Let z(j) = -3*j - 16. Give z(i(m)).\nAnswer: -108*m - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vy when two letters picked without replacement from {n: 4, v: 3, g: 1, y: 7, k: 2}.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 241.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6992 divided by -1.\nAnswer: 6992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a day in minutes?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-180)*(-270)\/108. Let j = -5\/3 - -2. Let a = -2 + 2.1. What is the closest to j in k, -0.06, a?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 71 = 37. Find c, given that -2*c**4 + 171*c**3 - c**4 + m*c - 165*c**3 + 21*c**2 + 0*c**2 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 0 (c) -0.6 (d) -120\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1795313522 and 2218?\nAnswer: 2218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -91. Suppose -j = f - 148. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2688*u - 2674*u + 85 - 533 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 2*m + 20. Let q be l(-8). Find the third derivative of -8*y**3 - 5*y**q - 86*y**2 + 3 + 33*y**2 - 3 wrt y.\nAnswer: -120*y - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + 2*(1*sqrt(1728) + -2 - (2*(-1*sqrt(1728) + sqrt(1728)) - sqrt(1728))) + -2))**2.\nAnswer: -6912*sqrt(3) + 110916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 10*v**2 - 12. Suppose 4*x = -3*h - 638, x - 4*x - 478 = 2*h. Let k be 34\/(-119) - x\/14. Is w(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 10 + 7 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 74a53a + -4?\nAnswer: 74a536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*o + c + 2*c, 3*o = 5*c + 112. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 17\/(51\/18)*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*x = x - 207 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 11*j**2 - 8*j + 22. Let c = 59 - 69. Let n be b(c). Let k be (0\/3)\/(n - 0). Solve 5*z + k = -5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 43*c - 71. Let p(j) = -99*j + 164. Let o(d) = 23*i(d) + 10*p(d). Suppose 4*w + 28 = 4*n - 0*w, -5*n + 35 = 5*w. What is o(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 15643?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsssssumumgs. What is prob of sequence mu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1155 and 11088?\nAnswer: 55440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l**2 + 163*l - 128. Calculate f(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(2\/(-6)*-3). Let q = x - -1. Let o be (-321)\/(-21) - q\/(-7). Solve 4*j - o = j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103140 + -12400?\nAnswer: 40240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000003201502 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/4 (b) 2 (c) 8744.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4280 - -2340. Is 9\/(-6)*x\/(-30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 195345?\nAnswer: 3, 5, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 428 divide 7712038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qtk when three letters picked without replacement from qheteehetettkttee?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 387525?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -9*z - 5. Let k(f) = f**2 + 1. Let p be k(2). Let h(r) = -5*r - 2. Let g(n) = p*h(n) - 3*j(n). Find the first derivative of g(v) wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**3 + s**2 + 2*s + 1. Let o be w(-1). Let m = o + 6. Let r = 3 + -2. Which is the closest to 0.1? (a) -0.2 (b) r (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 313, 732, 1351, 2188, 3261, 4588?\nAnswer: 6187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -35*w**3 - 18*w**2 + 65*w - 46. Determine l(3).\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4272*0.3\nAnswer: 1281.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*c - 24 = 20*c. List the prime factors of 5 + 1215\/c + 3\/(-12).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1868*v - 946*v + 60 - 934*v in the form f*v + k and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -10 + 16 + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -48. Suppose -2*q + 10 = -v. Let x = 49 - q. Calculate the greatest common divisor of 170 and x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 54*g + 1035. Calculate q(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*f = 6. Suppose f*s = -2*r - 5, 3*r - 2*s + 1 - 13 = 0. Solve 4*w - r*z - z + 25 = 0, 5*w - z + 23 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151201 (base 6) to base 3.\nAnswer: 201221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 - -22. Let b = -2.1 + 2. Let w = b - 0.3. What is the closest to 0 in w, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 2*a**2 - 5*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4282 is divided by 1122?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 24d3 - -1?\nAnswer: 24d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8*v = 4*v. Suppose -5*r + v*j - 3*j - 26 = 0, -4*r = -4*j + 40. Let h(u) = u**2 + 8*u + 4. Give h(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7*s + 2. Let j be 26\/13 + ((-10)\/4)\/((-5)\/10). Let x(u) = 13*u + 5. Calculate j*o(t) - 3*x(t).\nAnswer: 10*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 20\/227?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53958 divided by 26979.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/14 + -13\/42. What is the nearest to -2\/11 in -0.3, p, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**7\/42 - x**6\/2 - 23*x**5\/12 + 15*x**4\/2 + 4*x**2 + 60. Suppose p(d) = 0. Calculate d.\nAnswer: -9, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33297?\nAnswer: 3, 11, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 1 + 3)*(0*w + 10*w + 3*w) - 2*w - w + w)*(-w**4 + 2*w**4 - 3*w**4).\nAnswer: -22*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 24933.3 rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -18. Suppose -4*r + 22 = -x*r. Let q = 15 - r. What is the remainder when 15 is divided by q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -489*g - 1956. Let h be p(-4). Suppose -5*d = -3*d - 14. Let o = 15 - d. Solve h = w + 3*w + o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uulunnztduln. Give prob of picking 1 z, 1 n, 1 t, and 1 d.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 - (-1 + 0)\/(8\/(-24)). Let q = 17 - i. Suppose 3*m = -0*m, -24 = -q*y - 2*m. Let c(b) = -b**3 + 5*b**2 + 6*b - 2. Determine c(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 13 = 3*p + 7, 3*d = 3*p + 6. Let g be d\/(-66)*(-2)\/(-3 - -1). Suppose 8*t - 3 = 5*t. Which is smaller: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzz. What is prob of picking 4 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*q - 18. Let s(y) be the first derivative of 1\/12*y**4 - 2\/3*y**q + 2*y**2 - 8\/3*y - 1. Factor s(h).\nAnswer: (h - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -41, -106, -201?\nAnswer: -326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90580170 to the power of 1\/2, to the nearest integer?\nAnswer: 9517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0, 0.09, -0.04?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 22 - 2 + 48*u**3 + 24*u**3 - u.\nAnswer: 72*u**3 - u + 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4606 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000471265 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-50)\/40*-2)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/7 - 291980*v**3\/7 - 10656540042*v**2\/7 + 1167920*v\/7 + 42626160200\/7 = 0. Calculate v.\nAnswer: -72995, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-46)\/5 + 58\/290. Let c(x) = -x**3 - 9*x**2 - 18*x + 15. Is c(j) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 6*j + 15. Suppose j*q - 5*w - 17 = 0, -4*w = -4*q - 3*w. Calculate the remainder when q*(-10)\/(-6)*-39 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -84?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 48, 93, 174, 303, 492, 753?\nAnswer: 1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 899596 and 471308?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72470 and 4?\nAnswer: 144940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/89431 + -247097873\/894310. Let l = y + 276. Let t = -1 - -2. Is l at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10032944.\nAnswer: 2, 627059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*a**2 + 136*a - 280*a - 3*a**3 + 142*a in the form d + o*a + v*a**2 + t*a**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 16, o: 4}. Give prob of sequence oooo.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -16 + 1 - (-1 + -12 - -3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzlzzlzlllzzz. What is prob of picking 2 l?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -86\/5 (b) -1\/7 (c) -1\/5 (d) -1\/4 (e) -1\/3 (f) -341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -51 - 9. Let k = n - 23. Let g(y) = -3*y - 15. What is the units digit of g(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4109424, -4109441, -4109466, -4109499, -4109540?\n\"Answer: -4*o**2 - 5*o - 4109415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 6:28 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d - 2*d**2 - 2*d + 2 - 7*d)*(151 - 151 - 10*d**2 + 0 + 0 + 2*d**2 + (-d + 2*d**2 + d)*(-2 - 2 + 5) + 3 - 3 - 2*d**2 + 2 - 2 + d**2).\nAnswer: 14*d**4 + 21*d**3 - 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 12:16 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 289*h - 11 - h**3 + 476*h - 188*h + 11*h**2. What is r(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 17*u**2 - 2*u - 1. Is k(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 2*x**2 - 10*x + 5. Let z be u(0). Suppose z*h + 25*h = 28980. Is 56 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 + -7 - 4\/6*-3. Suppose -3*q = -8*q - 4*y + 6983, q + 2*y - 1393 = c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1358501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5250067*r - 4 - 2*r**2 - 13 - 5250050*r. What is v(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -7)\/((14\/(-21))\/(-1)). Let p be -2 + 5 + 2*(-3)\/6. Suppose -p*u + 47597 = w*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 202*s**2 + 18*s - 30. Let x be q(6). What is x rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12192, 23592, 34978, 46344, 57684, 68992, 80262, 91488?\n\"Answer: -n**3 - n**2 + 11410*n + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3161322*z**2 + 8*z - 8*z + 6322496*z**2 - 3161327*z**2.\nAnswer: -153*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllliil. Give prob of picking 2 l.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 3. Let c(r) = r + 1. Let s be c(w). Suppose -3*k - 4*g + 7 = 0, s*k + 5*k - 5*g = 35. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 299 + -294. Let p = -7 - -9. Which is the nearest to 2\/7? (a) r (b) 4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {q: 2, p: 2, x: 3, g: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 29812*g - 29816.\nAnswer: 4*(g - 7454)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 8:14 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/2200)\/(50\/((-14850)\/243))?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 - 87. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:43 AM?\nAnswer: 2:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 74\/3 of a year?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 465290 by -1610.\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -14286*((845\/(-10))\/13 + 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*f - 0. Let w(o) = -2794 + 5587 + 189*o**2 - 2794 + 3*o. Is w(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 - 225*l - 2. Calculate c(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 9*d = 192. What is the units digit of (d\/(-6))\/(9\/324)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -89.000002. What is h rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19 - 11) + (0 - (-14 + 5)). Solve -y*q + 6 = -11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 326483, 326465, 326425, 326357, 326255?\n\"Answer: -v**3 - 5*v**2 + 4*v + 326485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = w - 44, 20*d - 22*d = -w - 12. Suppose -d*x + 8 = -10*x. Which is greater: -17\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a week in minutes?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2321 (base 14) to base 12\nAnswer: 3649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99851 is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-2 - 8))\/(96\/64)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -4, -62, 166, -3, 1 in increasing order.\nAnswer: -66, -62, -4, -3, 1, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*d**3*o**2 - 64*d**3*o - 2*d**2*o**2 - 2*d**2 - 44 wrt d.\nAnswer: 36*o**2 - 384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from mmeo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/2)\/(6\/(-4)) - 28875\/(-2250). Which is the second smallest value? (a) -2\/5 (b) 0.2 (c) v (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (0 + sqrt(2))*5)**2 - (5*sqrt(2)*4*-3)**2) + 1.\nAnswer: -7124 + 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**6 - 1594*a**4 - 2*a**3*u**3 - 26038*a**2*u**2 + u**3 wrt a.\nAnswer: -240*a**3 - 38256*a - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 3:34 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/13476 or -1?\nAnswer: -5\/13476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from vpppppvvbvppbp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 488 and 37792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49af2f (base 16) to base 11.\nAnswer: 27a9098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*y - 21, -5 = -y - 4*y. Sort t, -4, 0 in descending order.\nAnswer: 0, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 8*f + 2. Let b be p(0). Find m such that 2\/3*m**3 - 2\/3*m - m**4 + 0 + m**b = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -86.5 - -87. What is the third smallest value in -1, w, -11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4*w**2 - 24906*i**3*w**2 + 12*i**3 + 2*i**2*w**2 + 46*i*w**2 + i*w + 2*w**2 + w + 1 wrt i.\nAnswer: 48*i*w**2 - 149436*w**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 12) to base 11\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-7 - -8) - -2. Let c be 5 + -2 - (-5 - -10). Let x be ((-9)\/(-12))\/(c\/(-8)). Solve h + 4 - 2 = -z*o, x*h + 2*o - 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/4*((-154)\/(-99) - 2). Which is the nearest to 0.2? (a) -9 (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30020 or -30022?\nAnswer: -30022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -37\/12, 1, 0.5, 2, -5 in decreasing order.\nAnswer: 2, 1, 0.5, -37\/12, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.1 rounded to 0 decimal places?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -138*l + 1. Is b(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 4 = 4*l. Let u(s) = 3*s**3 - s**2. Let f be u(1). What is the first derivative of -k - l + f - 2*k + 2 wrt k?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 13) to base 7.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/18377 or 0?\nAnswer: -3\/18377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -27. Let h = -7 - -3. Let p = 2333.4 - 2333. Put p, x, -2, h in descending order.\nAnswer: x, p, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccg when three letters picked without replacement from {g: 2, c: 17}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 15 + 6 = -r, k - 17 = -4*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87\/110 - -1\/110. Factor 18\/5*f**2 - 1\/5*f**4 - 4*f - q*f**3 + 7\/5.\nAnswer: -(f - 1)**3*(f + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149658 divided by 3?\nAnswer: -49886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 2*k + 4. What is the lowest common multiple of v(0) and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:35 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*q**2 - 20*q**2 - 25*q**2 - 8*q**2 - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -852488 by -121784.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247656.\nAnswer: 2, 3, 17, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 9 = -6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 2*p**2 - 172*p + 528.\nAnswer: 2*(p - 6)*(p - 4)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 91\/2 of a century?\nAnswer: 54600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2288)\/(-13) - ((-6)\/(-1))\/(-2). Let p = -350 + t. What is the hundreds digit of 5\/(-8 - -3) - p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - m - 40 = 0, 4*y - 28 = -m + 30. Solve 0 = s + 3*d - 10, 5*s - 2*s + 5*d = y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 24*s**2 + 144*s + 196. Give l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 10803895 + 44685922. Suppose 2744009 = -5*y + l. Round y to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115308*v + 3 - 115308*v - 125*v**3 + 23*v**3 - v**4 to d + p*v**3 + f*v**4 + w*v**2 + i*v and give p.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -1014.\nAnswer: -1013.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*b + 7*b + 2349 - 2328 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65, -322, -579, -836?\n\"Answer: -257*r + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*v + 739*v - 301*v - 112*v + 6.\nAnswer: 286*v + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*g - 12 = 0, 5*m - 16 = g - 4*g. Solve -3*d = -4*r - 16, 2*r - m = d - 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i + 5 = 0. Let d(a) = -2*a - 4. Let j(r) = 6*r + 12. Let u(h) = 16*d(h) + 5*j(h). Determine u(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, j: 2, x: 1, h: 1, m: 2}. Give prob of picking 1 c and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.9 and -1.46?\nAnswer: 23.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2181*v - 567. Is 13 a factor of y(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2666 - 1520. Suppose -b = -5*g + m + 474, -2*g + 2*m = -656. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (288\/(-912))\/(56\/(-304))?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 1:03 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16790 rounded to the nearest one hundred?\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 0. Let w = q + 2. Find the second derivative of 2*j**w - 18*j**3 - j**5 - j + 18*j**3 wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 2:43 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -9*u + 8*u + 2*q, u - 3*q - 1 = 0. Let x = 0.76 + -0.06. What is the closest to -0.1 in u, 2\/9, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011111010110 (base 2) to base 10\nAnswer: -10198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eeqqzqeeze?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 237513361 divided by 1\nAnswer: 237513361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/6)\/((-2)\/4). Calculate the highest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -903246076 - -6?\nAnswer: -903246070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1828*p + 1755*p + 292 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 17*b + 420. Is 7 a factor of t(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.09282268 rounded to 4 dps?\nAnswer: -1.0928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -93 - -38. Let n be 6\/(-33) + (-230)\/u. Solve 0*o + n = o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 5. Let f be (7 + -9)*14\/(-4). Let r be j(f). Suppose r*s = -2*s + 12. Is 4 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f + 12. Let g be o(5). Solve -3*d = m - 7, -3*m + 1 = 2*m - g*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 44?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 26. Solve -4*u - 20 = -2*a, 2 + m = u + 2*a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -129.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 81451 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 + c + 2. Let b(j) = -j**2 + 57*j + 786. Let h(w) = -2*b(w) + 2*z(w). Factor h(g).\nAnswer: -2*(g + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 114117360 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - k**2 - 2*k**2 - 2*k**2.\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25517328229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/16*-6)\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -168*l - 161*l - 160*l + 489*l - w, 123*l + w + 689 = -14*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29980 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 500.3885ml in litres?\nAnswer: 0.5003885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 152297 at most as big as 152314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -32 + 124?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8783*m + 323139 - 1122392 for m.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrh when three letters picked without replacement from {y: 1, h: 1, r: 16}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3550753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5372*g**2*k**2 - 6390*g*k**2 + 2*k**2 wrt g?\nAnswer: -10744*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a + 1. Let c(l) = l**2 - 10*l + 5. Let t be c(10). Let p(x) be the first derivative of -3*x**2\/2 - x - 2. Let s(b) = t*p(b) + 4*u(b). Give s(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6043*g + 6043*g - 385*g**3.\nAnswer: -385*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 933167734 - -4\nAnswer: 933167738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -38291 (base 14) to base 11\nAnswer: -9451a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 9*p + 3. Let v be b(0). Suppose v*r - 12*r = -72. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eefjffjffefjfffffeff. Give prob of picking 2 e and 1 j.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/4, -2\/13, -2\/5, -1\/12870?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agagiaauba. What is prob of picking 1 u, 1 a, and 2 g?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2018406415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, u: 1, z: 1, j: 2}. What is prob of picking 1 u and 1 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022201 (base 3) in base 15?\nAnswer: -77d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -12*z**3 - 9*z**2 - 5*z - 9. Let s(p) = p**3 + 9*p**2 - 3*p - 1. Let k(h) = h**3 + 4*h**2 - h. Let c(x) = -5*k(x) + 2*s(x). What is -9*c(i) + 2*t(i)?\nAnswer: 3*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -10. Suppose 3*a - w*a = 6. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 628265\/511248 - -3\/10651. Calculate the common denominator of i and -139\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*1314\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 6, p: 1, x: 8}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-3)\/(-11)*(-4)\/12*-2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h - 1 - 1 + 97*h**2 - 38*h**2 - 1. What is the tens digit of k(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47735.0544 rounded to 0 decimal places?\nAnswer: -47735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(65)\/(sqrt(60)\/(sqrt(36)\/sqrt(3))) + 0 + (-3*(sqrt(1300) - (sqrt(1300) + 2))*-4)**2*1.\nAnswer: -3*sqrt(13) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 12:06 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 9*z**2 + 8*z + 6. Let i be f(-8). Suppose -170*h = -167*h - i. What is the common denominator of -59\/21 and (-43*h\/72)\/(2\/3)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-2)*(-16)\/(-28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 5*a + 77 + 4, -3*j - a + 130 = 0. Let f = j + -29. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqqqaqq. Give prob of sequence qqqa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j - 308 - 714. What is the tens digit of j\/(-6) - 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2 - 15531*p = 0. What is p?\nAnswer: 0, 15531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53 + 53 + 37*o - 2*o + 2 - 2 + (-4 + o + 4)*(2 - 1 - 3) + 0*o - o + 3*o)*(3*o**2 + 2*o**2 - 3*o**2).\nAnswer: 70*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 439625912.\nAnswer: 2, 11, 454159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(750) + (sqrt(750)*1 - sqrt(750)))*4 + (6*sqrt(750)*2 - sqrt(750) - sqrt(750)))\/(sqrt(10) + (sqrt(250)*-2 - sqrt(10)) + 5*sqrt(20)\/sqrt(2)))**2.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**2\/2 + 4*q - 146. Give z(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -18. Let t be (x - (1 + 3))*-18. Suppose -5*q = 5*f - 0*f - 120, -5*q - 96 = -3*f. Calculate the highest common factor of t and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-13)*(p*p\/(p**9\/p))\/p)**(15\/2))**49 assuming p is positive.\nAnswer: p**(-13965\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) - 207\/(-46). Let l(o) = 0*o**2 - j*o**3 - 7 + 3*o**3 - 2*o**2 + 6 - 2*o. Let k be l(-1). Solve -h - 3*h + 8 = k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-13 + 11 - (1 - 1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.24884 milliseconds in minutes?\nAnswer: 0.000420814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 14*q**3 + 3*q**2 + 3*q + 3. Is n(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -0.153.\nAnswer: -0.0306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -254 + 232?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - 13.44.\nAnswer: -38.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 3\/27*-38. Let h = -1381 + 1296. Which is the nearest to h? (a) 0.4 (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297993, 297923, 297817, 297657, 297425, 297103, 296673, 296117?\nAnswer: 295417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430146 is divided by 2444.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 33.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 75*q**4 - 23*q**2 + 9*q - 9. Let j(a) = -38*a**4 + 11*a**2 - 4*a + 4. Let i(o) = 9*j(o) + 4*s(o). Find the third derivative of i(w) wrt w.\nAnswer: -1008*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 323*k**4 + k**2 + 4283*k?\nAnswer: 3876*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*u**2 + 182*u + 30.\nAnswer: -2*(u - 3)*(32*u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 16124994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 19 = -11. Suppose 8*m - 3*m = w. Let a(q) = q**2 + 0*q**2 + 0*q**2 - m*q**2. Let y(i) = i. Calculate y(a(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -7*q**4\/12 + 5*q**3\/6 - 2481*q**2. Let b(v) = 15*v - 6. Give -4*b(w) - 5*y(w).\nAnswer: 10*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 9:10 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 139350155 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3968846 times 6.7\nAnswer: 26591268.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l**2 + 20*l - 276. Determine j(0).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/393 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**3\/6 + 7*a**2\/2 - a. Suppose -4*k = -4*g, -g - 12 = k + k. What are the prime factors of b(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.425?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-1*(6*sqrt(1300)*-2 + 1 + sqrt(1300) + -5)**2*-3.\nAnswer: 5280*sqrt(13) + 943896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 p, and 1 f when three letters picked without replacement from {l: 1, w: 2, p: 3, f: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.48481mg in kilograms?\nAnswer: 0.00009248481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4750*b. Let z(m) = 78*m. Let c(f) = 5*o(f) + 304*z(f). Let u(r) = 36*r**2. What is c(u(q))?\nAnswer: -1368*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {l: 2, y: 11, g: 2}.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144794*-91.\nAnswer: 13176254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3815.9071 to the nearest 10.\nAnswer: -3820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -28*p + 46. Let j(l) = 42*l - 69. Let s(a) = -5*j(a) - 7*w(a). What is the derivative of s(q) wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -2)*2*6\/(-12). Suppose 4*x + 3*k - 1613 = 0, 3*x + 4*k = m*x - 389. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(126) + sqrt(126))\/sqrt(9) + sqrt(14))\/(sqrt(189)\/sqrt(3)))**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325468 is divided by 64947.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*b**2 + 2180*b*j**3 - 2*b - 12*j**3 + 76379*j wrt b.\nAnswer: 24*b + 2180*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8326146654 to the nearest integer?\nAnswer: 2027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7360 - 7223. Let n = 464 - 324. Suppose -3*j + n = b. Solve -4*a + 16 = -r - 3, j = -2*a - 3*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54843.67 litres in millilitres?\nAnswer: 54843670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(9)*5 + sqrt(9) - sqrt(9)))\/(sqrt(4)*5*-2).\nAnswer: -sqrt(11)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 30 = -3*b - 3*c, -4*b = 2*c - 38. Find the second derivative of -h - 75*h**5 + b*h + 78*h**5 wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 10. Let x(b) = 4*b - 29. Let d(u) = 7*m(u) + 2*x(u). What is d(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -46, -68, -90?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 4494441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -10. Solve d*k - k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15045 and 648705.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -382711*l**2*m**3 - 184*l**2*m - 2*l*m**2 - l*m + m**4 + 5989*m**2 wrt m?\nAnswer: -2296266*l**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -644 divided by 46\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8) + 9\/4 - 48\/(-8)) + 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i + 215109. Let a(x) = -x**2. Calculate q(a(z)).\nAnswer: 2*z**2 + 215109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13102.237 * -0.9.\nAnswer: 11792.0133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - (-3 - 15 - -45).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20994702 is divided by 92082?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1174662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 16)*(0 + -2). Suppose 3*s - r = -s. What is the lowest common multiple of s and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4704 = -81*q + 2*q - 257*q for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1164 and -0.3.\nAnswer: 1163.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82476 and 6797484?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/(-2*(-6)\/(-8)). Let r = q + 53. List the prime factors of r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 5) + 4 - 12\/(-8 + 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-177 - 246 - 201)*(2*a - 2*a + 2*a**4) to g*a**3 + w + l*a**4 + h*a**2 + t*a and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5424\/17628)\/((-208)\/(-2535)).\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 4333 - 3*a**2 - 4336 + 8669.\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 0 - 1)*(-3*p - p + p + 1) as z + h*p and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*t - t - 2444 = 0, -w - 1223 = t. Let y = 754 + -193. Let g = y + w. What is g rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-10)\/(-5))\/(-1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 814101329?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 2*x**2 + 3*x**2)*(1 - 1 + x) + 39*x**3 - 5*x**3 + 4874 - 4867.\nAnswer: 36*x**3 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76473 divided by -9?\nAnswer: -8497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjjjjjjfjjj. Give prob of picking 4 j.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let s(v) = -22*v**2 + 3. Determine a(s(u)).\nAnswer: 44*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7208376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*i + 5, 4*d - d + i - 13 = 0. Let y be ((-165)\/22)\/(d\/(-4)). Let u(q) = 7*q - 7*q**2 - 21*q + y*q + 5*q. Calculate u(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 187*a - 7114. Determine d(38).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3765?\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 3*r**2 - 2*r. Suppose -12*f = -8 + 56. Let t(s) = s**2 + 2*s - 11. Let x be t(f). Determine h(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -11*l + 4. Solve 0 = b - 3 + l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 6*y**2 + y - 3. Let x be l(6). Let j be (-2)\/(-5) - (-8)\/5. Suppose -x*i - j*i = -120. What is the greatest common divisor of 216 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700923 is divided by 233640.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -11. Let q be 12\/(-2*v\/6). Is (-6)\/(-4)*(-1160)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 6*a**2 + 8*a - 16. What is the units digit of u(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1591 + 2869 - a**2 - 4460.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-13)\/(o**4\/o))\/(o\/(o**3\/o))**45 assuming o is positive.\nAnswer: o**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -205*r + 171*r + 251*r to the form k + z*r and give z.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2165724580?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -135*b. Let s be n(0). Let h(k) be the first derivative of s*k**3 + 5 + 4\/5*k**5 + 10*k + 0*k**4 + 0*k**2. Differentiate h(o) with respect to o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*b**3 - 2*b**4 - 420284 + 420282 - b + 4*b**3 - 4*b**2 as h + p*b + k*b**3 + u*b**2 + w*b**4 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - q**2 + q - 1. Let m = -3678 + 3679. Let n(x) = -3*x**3 + 2*x**2 - 3*x + 2. Calculate m*n(d) + 2*y(d).\nAnswer: -5*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*k + 19*k - 11*k + 8*k to n*k + l and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*i + 851 = 0, -i - 2*i = -h + 442. Let a = -382 + h. What is the remainder when a is divided by 37?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pee when three letters picked without replacement from {p: 1, i: 2, e: 6, t: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -148\/21 - -40\/7. Suppose -c - 3 - 1 = 2*p, 4*c + 2*p = -4. Is c at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.9651 micrometers to meters.\nAnswer: 0.0000899651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 200226013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(76) + sqrt(76)) + (sqrt(76) + 1)*-6.\nAnswer: -32*sqrt(19) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7225 (b) 0 (c) -0.4 (d) 0.18 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 (base 6) in base 10?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g - 31. Let i be d(7). Sort 1, 2, 0, i in decreasing order.\nAnswer: i, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -140061899, -140061896, -140061893, -140061890, -140061887?\n\"Answer: 3*t - 140061902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 41. Let s be (20\/(-70))\/((-6)\/m). Let 2\/3*j**2 + s*j + 0 = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -697 - -672. What is the second smallest value in 1, -3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 4956*c**2 + 2602368*c + 441179136.\nAnswer: 3*(c + 432)**2*(c + 788)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 1:30 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 0*f - 7 = -3*f, -4*b - 370*f = -374*f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -9*j**2 + 225*j + 2. What is d(25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z - 27. Let a be k(11). Let r be a\/27 + (-4 - 129\/(-27)). Let s(x) = -5*x**3 + x**2. Let l be s(r). Which is bigger: l or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*(48\/21)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2022, 8225, 18564, 33039?\n\"Answer: 2068*k**2 - k - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1394904 = -345*f + 59*f + 79712. Does 52 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 11:16 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 508*q - 3426*q - 2757*q.\nAnswer: -5675*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -13. Let g be (-4)\/(-6) - 296\/(-6). Suppose -y*f = -0*f - g. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vz when two letters picked without replacement from lzzvz.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b + 162000000 = 0. Round b to the nearest 1000000.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 9*i**2 - 24*i + 14. Let b be u(-11). What is the greatest common divisor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**2 + 3*j**2 + 4*j**4 - 5*j**4 + (6*j**4 - 3*j**4 - 2*j**4)*(1 - 1 - 2) in the form d + r*j**4 + k*j**3 + z*j**2 + g*j and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 150581 - 57211. Suppose -4*z + 40*z = g. List the prime factors of z.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 11:02 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2018 + -2023. Suppose -a + f = -2, -4*a - 2*f + 13 + 1 = 0. Sort 9, a, d in descending order.\nAnswer: 9, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55184 + 55184.0068514. Round y to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5 + b - 5*b**3 - 1 + 6*b**3. Let v be r(0). Does 3 divide 5*4\/10 + v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1103 is divided by 158?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1593, -1915, -2459, -3231, -4237, -5483, -6975, -8719?\nAnswer: -10721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 34044.41802 to the nearest 1000.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25757996?\nAnswer: 2, 11, 19, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - n**2 - 34*n + 17. Let k be w(6). Let c(u) = -u**2 - 10*u. Give c(k).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.194996 rounded to three decimal places?\nAnswer: -0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - h = 11, 3*x + 8*h = 43 - 73 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 1. Let k(x) = -3*x + 5. Suppose 33*q - 4*q + 405 = 2*q. Determine q*c(s) + 3*k(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 28*x**3 + x**2 - 5*x + 5. What is l(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/54 of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 1, 41 = -2*t - 3*x + 2*x. Let g be 1 + (-1 - 3) - t. Let k(m) = -15*m - 8*m + g*m. Let j(q) = 3*q. Determine k(j(l)).\nAnswer: -18*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 smaller than 314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-6 - -8) - (1 + -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -6*w + 6. Let s(b) = -2 + 33*b**2 - 3 - w*b - 2*b**2 + 4. Let z be s(-1). Solve 12 - z = 4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1166 and 73708902.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 16*v - 8*v - 8)*(-13*v**2 + 6*v**2 - 13*v**2).\nAnswer: -40*v**3 + 160*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49.4 - -0.6. Let k = l + -49.989. Let y = k - 0.0109927. Round y to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 590, 2575, 5888, 10529, 16498, 23795?\nAnswer: 32420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (18 + 1 + 17)*(-10*q - q**3 + 4*q + 4*q + 4*q**2) to the form f*q**3 + s*q**2 + j*q + p and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.62 + -0.38. Which is the nearest to -1? (a) 3 (b) m (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -8. Suppose -3*s + 2*s - 2 = 4*f, s - 5 = 3*f. Put j, 5, s in increasing order.\nAnswer: j, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75644559 less than -19?\nAnswer: 75644540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 530.672 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 0.1360542\nAnswer: -0.1360542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + t**3 - 4*t**3 + 2*t**3 + 1 - 1 + (2*t**2 + 5 - 5)*(-t + 0*t + 2*t) - t + 2*t**3 + t + 4*t**3 - 5*t**3 + 0*t**3.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/25 of a meter?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2, 0.119, 5, -2, 0.2, 1, 226?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5559.563 millennia to decades.\nAnswer: 555956.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122.1 + -31.08. Let t = -91 + z. Let h = 0.3 + -2.3. What is the second biggest value in h, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1457565?\nAnswer: 3, 5, 97171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1048*i**2 - 3072*i**2 + 1086*i**2 + 913*i**2.\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (11 + -4 - 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(13)*-4 + -4 + 4 + 3*sqrt(13) + -1) + 0.\nAnswer: 6 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3.695139 seconds?\nAnswer: 0.06158565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*x - 6927 = -68*x + 11873. What is the smallest common multiple of x and 4?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 24 = -m. Let i = m + 14. Let w(l) = -l**3 + 6*l**2 + 3*l. Calculate the remainder when w(i) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 205, 139, 57, -47, -179, -345, -551, -803?\n\"Answer: -t**3 - 2*t**2 - 53*t + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (336\/(-294))\/((3\/21)\/(1\/(-6))).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - 14. Let l = i - -56. Calculate the remainder when -8 - (-476)\/(-42)*(-105)\/10 is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + 66. Put o, 2, 4 in decreasing order.\nAnswer: o, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -96 in 1\/6, -20, 0.4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 97*k + 20. Suppose b + 19 = -4*q, -26*b = q - 21*b. Let n(l) = 146*l + 30. Let a(z) = q*n(z) + 8*r(z). Find the first derivative of a(s) wrt s.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*a, -3*a = -3*j - 3 + 15. Let x be 2*(-6 + 244\/j). Is x > 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*k - 18 = 49*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -58*n - 505. Determine x(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/238901 and 73\/3.\nAnswer: 716703","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/20 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -2, 5, 13 in increasing order.\nAnswer: -4, -2, 3, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161582, 161574, 161566, 161558, 161550?\nAnswer: 161542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537036.\nAnswer: 2, 3, 44753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1089, -1395, -1699, -2001, -2301?\nAnswer: -2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 865432 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, j: 3, z: 1}. What is prob of sequence jzj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 186*-27143\nAnswer: -5048598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 16048.\nAnswer: 144432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7090.9024106 - 7090.81. Let k = -0.0925 + s. Round k to 6 dps.\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w - 1. Let k be v(-2). Let p = 18 - k. Suppose -15 = 2*c - p*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170411*p**3 + 83944*p**3 + 86473*p**3.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2476 (base 10) to base 6\nAnswer: -15244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -3. Let j(i) = -i**2 - 7*i - 1. Is 2 a factor of j(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27.055 - -27. What is j rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1584 and 166034.\nAnswer: 11954448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let j(k) = -11*k**2 - 4. Let f(z) = -z**2 + 1. Let q(a) = 6*f(a) - j(a). Let g(v) be the first derivative of q(v). Give g(l(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2033324 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 4 (c) -0.033 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 281568 and 77255220.\nAnswer: 618041760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-84)\/(-9))\/(-14) - (-154)\/6. Solve 0*x - 5*x = o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**4\/6 - 7*i**3\/3 + 7*i**2. Calculate the remainder when 21 is divided by t(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13119?\nAnswer: 3, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*y + 4*y**2 + 3 + 40*y - 2)*(2*y**3 + 2 - 2).\nAnswer: 8*y**5 + 4*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2172 (base 11) to base 16.\nAnswer: -b2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137\/4 - 34. Let h = -3423 + 3416. What is the second biggest value in h, 2\/5, -2\/3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - f**2 + 2*f - 1. Let i be k(1). Suppose 54 + 0 = i*r. Let p = r + -19. Does 8 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33, -65, -225, -447, -731, -1077?\n\"Answer: -31*g**2 - 5*g + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 81 = 21. Suppose -3*x = 27 - 6. Let d = x + m. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:56 AM and 11:20 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -5*d + 57 + 172, -4*d = s + 52. Let n = s + 60. Suppose -n*y = -2*u + 4 + 96, y = -5*u + 206. Calculate the remainder when u is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 0*q**3 + 3*q**3 - 2*q**3 - 3*q + 1 - 2*q**2 + 0*q**3. List the prime factors of b(4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -83*x + 747. Let y be c(9). Solve y = 73*v + 7 - 445 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399480979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 t when three letters picked without replacement from {i: 1, v: 2, g: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3\/6)*180\/40?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 190*g**5*q + 37*g**4*q - g**2 + 2*g + 26*q - 20 wrt g.\nAnswer: 11400*g**2*q + 888*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 + 121 - 462 + 100 - 4*b - b + 123.\nAnswer: -5*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11.4 + 74.4. Let u = m + -62.791. What is u rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of 9*s**4 + s**3\/3 - 928*s - 151. Find the first derivative of a(l) wrt l.\nAnswer: 108*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -10, -12, -16, -22?\n\"Answer: -g**2 + g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*t**3 - 34*t**3 + 4*t - 9*t + 15*t**3 wrt t?\nAnswer: -186*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrr. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18076?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 3. Let h be 2 + 1 - -4*(3 + -1). Let f(y) = -16*y - 20. Let i(w) = 3*w + 4. Let g(j) = h*i(j) + 2*f(j). What is 6*d(v) - 5*g(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/7, -0.4, 1018?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f\/((f\/(f*f*f\/(f*(f*f\/(f\/(f\/f**3*f*f)*f))\/f)*f*f))\/f))**(2\/15))**(-34))**(-22))**(-10\/3) assuming f is positive.\nAnswer: f**(-20944\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 95327\/30 - 3174. Find the common denominator of 19\/27 and r.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/56*7 + (-1)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of n**3 + n**2\/2 - 2. Let o(j) = 3*j - 4*j - 20*j**2 + 4*j**2 - 5*j. Calculate -4*o(l) - 22*x(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**2 + 8*y - 3. Let t be s(3). Let u be 0 + 2\/t*0. Let c(b) = b**2 + b + 5. Calculate c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*f = -9, 3*n - 4*f = -0*f + 2. Let a be -3 + -58*n\/(-40). Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 949\/385 - 5\/77. Let o be (-2 + 1)*33\/132. Is o less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 2*a, 2*m - 5*a = -0*a + 1. What is the least common multiple of m and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3253 - 3253 + 274*d)*(-2*d**2 + 2*d**2 + 2*d**2).\nAnswer: 548*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160 - -163. Find the second derivative of -30*q + 0*q + 2*q**2 - 6*q**h + 85*q wrt q.\nAnswer: -36*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052825351 rounded to five dps?\nAnswer: -0.05283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -241, -333, -461?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 6 + 14 - 4 + 25*q - 8.\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*b + 2*b. Solve 0 = p - b*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(2\/9)*y)*y**(-6))**(-26) assuming y is positive.\nAnswer: y**(1456\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/20 and 85\/356622.\nAnswer: 3566220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.092 or 4930?\nAnswer: 4930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68, -136, -204?\n\"Answer: -68*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dceddtdcducddddhtu. Give prob of sequence du.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doddoodd. Give prob of picking 1 o and 1 d.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -257\/4. Let j = 233 + -1161\/5. Put j, -3, f in descending order.\nAnswer: j, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13 - 166*w**2 + 166*w**2 - 9*w**4 wrt w?\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 15, 5, 79, 70 in ascending order.\nAnswer: -5, 3, 5, 15, 70, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Let g(c) = -5*c - 28. Give 6*f(l) + g(l).\nAnswer: l - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - ((-2)\/(-1) + -1). Suppose -f + 0*f + l = 0. Suppose 2*h + 8 = 2*o + f*h, 0 = -o + 4*h + 4. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -q**4\/12 + 2*q**2 + 5. Suppose -3*x = 3*o - 12, -4 = x - 2*x + 5*o. Let w(s) = 3*s**2 - x + 4. Give c(w(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 153316661 times -0.07\nAnswer: -10732166.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.61897ml to litres.\nAnswer: 0.01761897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 11:47 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -351 + 353. Sort -4, -5, -2, k in increasing order.\nAnswer: -5, -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) 51 (b) -3 (c) 1 (d) 1\/3 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**2 + 0 - 2*o + 0 - 3*o**2. Suppose f - 17 = -3*j, -27*f - j - 1 = -30*f. Determine d(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 240 - 239.32. Is v < 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2058954 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310310341 (base 5) to base 9.\nAnswer: 2330466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 1 + -5 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 2*y**2 - 3*y + 2. Let x(h) = 5*h**3 + 9*h**2 - 13*h + 9. Let d = 37 - 41. What is d*x(c) + 18*f(c)?\nAnswer: -2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1362060 and 360?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49, -52, -41, -10, 47?\n\"Answer: h**3 + h**2 - 13*h - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 7:11 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -58*t - 95 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.04 + -0.04. Let k = 3144\/13 - 242. Let u be (-2)\/(-2)*(-6)\/(-12). What is the biggest value in u, n, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 12*d**2 - 10*d + 13. Let m be l(-11). Suppose -m*n = 4 + 30. Is -16 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_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: Sort 9, -1, -2, -3, -6, -4 in increasing order.\nAnswer: -6, -4, -3, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xl when two letters picked without replacement from {d: 1, l: 1, c: 1, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -11. Suppose -2*z = -3*z + b. Solve x + 1 = -z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 - -1b5?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 261 - 2348\/9. Let h(y) be the first derivative of 1\/15*y**5 + 0*y + 0*y**4 - 11 - m*y**3 + 0*y**2. Determine l so that h(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 + 6 + (1 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-117)\/(-351)*(-27)\/(-1). Let d be (102\/27)\/17 - (-25)\/z. Let -2\/5*n**4 + 0 - 8\/5*n + 8\/5*n**2 + 2\/5*n**d = 0. What is n?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 8*v**2 - v - 4. Let j be n(-8). Suppose -l + 2*l + 5*a - 15 = 0, 4*a = -j*l + 60. What is the remainder when 57 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 194 and 35599.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 2*r + 2*r + (-2 + 5 - 1)*(2*r + 0*r - 3*r))*(-3 + 4 + 2).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -479.5 + 477.551. Let p = i - 0.051. Let s = 1 + -1.1. Put -2\/11, p, s in descending order.\nAnswer: s, -2\/11, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1913 - 406. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 + -35.2. Sort -4, o, -5 in descending order.\nAnswer: o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62041, -248149, -558337, -992611, -1550977, -2233441, -3040009?\nAnswer: -3970687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-80)\/(-5))\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7473804.\nAnswer: 2, 3, 13, 23, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-3) + (0 - -3). Let z be (-8 - 0)\/(3 - c). Suppose -10 = -z*p + 3*p. Solve 2*m - 4*v = 10, -m + v = p*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*b + 23, 0 = 3*b - 2*b - 4*h - 19. Let o(x) = -2*x**2 + 17. Determine o(b).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*s - 32*s. Suppose s = -f + 2. Solve 5*i - 5*r - 50 = 0, f*i = -4*r - 3 - 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-2)\/d)\/(d*(d\/(d\/(d**(-5)*d)*d))\/d)*(d**(-2\/3)\/d)**35)**(-2\/63))**(-1\/2) assuming d is positive.\nAnswer: d**(-169\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffnffffffffff. What is prob of sequence fn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 3*l + 3. Let x be u(3). Suppose 0 = 4*d - x*d - 14. Round d to 0 decimal places.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/9 (b) 0 (c) -0.12 (d) -1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 12*i. Calculate the remainder when y(9) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46382 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 n when two letters picked without replacement from kzglkrgkklnkr.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1108.5502 and -116?\nAnswer: 992.5502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 38711 to the nearest 1000.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/2*2816\/(-4576)*65\/(-20).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - d - d + 4*d + 3*d**3 - 2 as b*d**3 + v + x*d + h*d**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/12 + 7*f**3\/6 - 9*f**2 - 67*f + 116. Let y(v) be the first derivative of s(v). Factor y(g).\nAnswer: (g - 2)*(g + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*c**6*i**3 - 11318*c**6*i + 370855*c**2*i - i**3 wrt c.\nAnswer: 840*c**3*i**3 - 1358160*c**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*i - 3*n, 3*i - 1405*n - 5 = -1406*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssbs. What is prob of sequence sbss?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2571? (a) 1\/3 (b) -5 (c) -1 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2342 + 2288.54. Round s to zero dps.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 9 - 6, 9 = -v - 2*h. Let m(w) = -w**2 + 4. Give m(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 5*x - 3. Let u be h(-6). Suppose -u*v + 257 = -61. Suppose 3*m = -4*s + v, -3*s - 3*m = -5*s + 62. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10330 + 2?\nAnswer: 10332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 23*r**2 + 21*r + 76. Let g be q(24). Suppose g*p - 1333 = 1227. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 127*i - 131*i - 96 = 0, 2*f = -4*i + 66. What is the remainder when 285 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4437.7 - 4440. Which is the smallest value? (a) -5 (b) m (c) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1527 or -1528?\nAnswer: -1528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 2*t**2 - 5*t + 4. List the prime factors of r(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 c, and 1 j when three letters picked without replacement from {g: 2, c: 3, o: 2, j: 7, k: 4}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -5 + 0 + 3 + -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1971 + -100520\/51. Let v(a) be the second derivative of 14*a + l*a**3 + 0 + 1\/170*a**5 + 0*a**2 - 1\/51*a**4. Factor v(o).\nAnswer: 2*o*(o - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 6:41 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17736837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112, -416, -912, -1600, -2480, -3552, -4816?\nAnswer: -6272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -248, -51, -257.\nAnswer: -257, -248, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000005062691 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21044589.\nAnswer: 3, 17, 412639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 36079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*sqrt(175) + 1 + 1 + -4.\nAnswer: -10*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2. Let x(z) = -20 - 39*z - 16*z - 191*z + 39 - 21. Calculate x(l(s)).\nAnswer: -246*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 29. Suppose -x + 21 - n = 0. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -989 + 1942. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3138 and 228.\nAnswer: 119244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13682 - -0.564989664\nAnswer: -13681.435010336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 37.7672988 and 0.8.\nAnswer: 38.5672988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015154741 rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-55822)\/(-565)*340\/1938\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 8*o**2 - 13*o - 8. Is a(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*z + 23 - 23)*(-1354*z**3 - 23*z**3 - 110*z**3) as v*z**2 + s*z + m*z**4 + i*z**3 + u and give m.\nAnswer: 10409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 0*v + 8. Let y(t) = t**3 - 5*t**2 + 4*t - 1. Give y(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + x + 3, -2*y - 2 - 13 = 5*x. Let i(l) = -l + 9. What is the units digit of i(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 126 + -282. Let t be (-1 - 0)*(g - -14). Let x = 389 - t. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1782, 617, -3 in decreasing order.\nAnswer: 1782, 617, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8*(-3)\/(-36) - 11\/12. Let v be (-124)\/(-1953) - 2\/(-9). What is the nearest to p in v, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738061093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (20\/(-4) - -7). Let t be -2 - 2652004\/(-4) - l. What is t rounded to the nearest 10000?\nAnswer: 660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (6 - (8 + -4 - 7 - 2) - 18)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*w + 5*f, f = -5*w - 3*f - 31. Let v = w - -33. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 15) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 9*t + 18 = 41, 0 = z - 3*t - 1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6832 - 6828. What is the closest to 0.11 in -6, 1, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, d: 4, k: 1, g: 3}. Give prob of sequence kxxg.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (4 - (17 + (4 - 5)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 - 3*u**3 + 4*u**3 + (0 + 2 + 0)*(4*u**3 - 6*u**3 + 8*u**3))*(-2*u + u + 2*u)*(-2 - 1 + 2).\nAnswer: -14*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -109826555149 + 0.16?\nAnswer: -109826555148.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 21*z - k - 300 = -10*z + 3*k, 101 = -6*k - 349 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and 17578.\nAnswer: 3867.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*j, 2*j = 3*q + q - 20. Suppose q = 3*m - 3. Which is the second smallest value? (a) 0 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 5*y + 4, -2*y - 12 = -3*k. Solve 9*w - 5 = -2*j + 4*w, 5*j = k*w - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 + 0.04238?\nAnswer: 535.04238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*l + 8*l + 179402 - 179417 as p + q*l and give q.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986 = -17*s + 256 - 1888 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (32\/744)\/((-5)\/(-9)*(-30)\/25)\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -9*z + 352. Let g(a) = -15*a + 352. What is 2*g(f) - 3*y(f)?\nAnswer: -3*f - 352","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 370.9 - 370.900118. What is l rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2. Let z(q) be the second derivative of 1\/6*q**4 + 0*q**3 + 0*q**2 + 3*q + 0. Give z(o(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*v**2*w**2 + v**2*w - 5*v**2 - 10*v*w**2 + 465*v*w + 119*w**2 - w - 1 wrt w.\nAnswer: 26*v**2 - 20*v + 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.43094173 * 0.3\nAnswer: -0.129282519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*c - 3, 5*c + 5 = -0*c + 5*d. Let j(l) = -3*l - 24. Let g be j(c). Sort 2, g, -3.\nAnswer: g, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11*w**2. Let b(v) = v + 48. Let j(q) = -2*q - 104. Let n(s) = 13*b(s) + 6*j(s). Give n(k(r)).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3 = 5. Suppose -2*c - x = -0. Sort -5, c, 5.\nAnswer: -5, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 664829 and 4598.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3 - 5*i - 7*i**3 - 7*i + 27*i wrt i?\nAnswer: -60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1860525176.\nAnswer: 2, 10501, 22147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5 + 34)*(2 - 2 - x)*(1 + 26 + 22)*(2 + 2 - 2)*(-3 + 2 + 0).\nAnswer: 3038*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2486046\nAnswer: -5\/2486046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 106171592*l**2\/9 + 29144*l\/9 + 2\/9.\nAnswer: 2*(7286*l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 177 + -170. Suppose -2*r - 2*i = -1510, l*r = 6*r + 4*i + 735. What are the prime factors of r?\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 1913340?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61.0707 - -0.0293. Let a = 60 - s. Let t = a + 0.1. Is 3 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12727274.\nAnswer: 2, 7, 909091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 29587217 and 9.\nAnswer: 266284953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (238*m + 207*m**2 - 238*m)*(-2*m**2 + 2*m**2 - m**2) + 2*m + m**4 - 2*m + 0*m**4 - 4*m**4 + 3*m**4 + (-2*m + 4*m + 0*m)*(-m**3 + 0 + 0).\nAnswer: -209*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(-6))\/(4\/18). Let m(x) = 11*x + 15. Let h(z) = z + 1. Let q(o) = -6*h(o) + m(o). Let u(f) = 2*f + 3. Let s(y) = d*q(y) - 8*u(y). Calculate s(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 21301172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 18*k + 153. Let j be p(-6). Suppose -55 = -j*q + 34*q. Solve -4*x - x = -l - 11, 3*l - q = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82.1 + -82. Is 0.8 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -41*k + 17. Let z(h) = -2*h**2 - 2*h + 4. Let p be z(-4). Let v = 14 + p. Is f(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -1. What is the units digit of 44\/5 + t\/(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 47*w = 42*w - 91356. Calculate the remainder when w is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -2.7. Let t = -0.9 + 1.3. Let o = l - t. Which is the third biggest value? (a) 2 (b) o (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-19.008.\nAnswer: 95.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + u**2 - 7*u + 19. Does 10 divide d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktkkkttmkuvkukutkvu. What is prob of sequence kt?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let c(f) be the first derivative of -2*f**2 + 2*f + 216. Give -c(j) - q(j).\nAnswer: 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -1746.\nAnswer: -1741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 15. What is i(17)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a*a\/(a*a\/(a**(-10\/3)\/a))*a*a*a))\/(a*a**(-18)) assuming a is positive.\nAnswer: a**(55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -0.01 (c) 0.4 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 765149 and 39501.\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666210677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76 - 38. Suppose 3*z + 3*a = 30, -4*a - o = -3*z + 27. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v**2 - 4*v - 6. Let x = 103 - 99. Let f(p) = 17*p**2 - 11*p - 17. Determine x*f(o) - 11*t(o).\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -0*y + 5. Solve -y*b + 8*b = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3192276?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k. Suppose 21 = -5*r + p, 2*r - p + 10 - 4 = 0. Let w(q) = -q**2 - 5*q. Let c(o) = r*b(o) + w(o). Let n(d) = -d - d + 3*d - 3*d. Calculate c(n(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 5*b - 35670, 4*b - 15812 - 12742 = -o. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -11*c + 9. Determine u(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196146396?\nAnswer: 2, 3, 5448511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)\/q)**(1\/12)*(q\/(q*((q**5*q)\/q)\/q*q))\/(q**(2\/5)\/q*q))\/((q**1)**(5\/9))**50 assuming q is positive.\nAnswer: q**(-997\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/714)\/(432\/(-408)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-3)*1\/8. Let s = -1.322 - -1.212. Let a be (-7)\/(-9) + (-34)\/(-153). What is the nearest to a in -0.4, p, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 3) + (4 - 3 - -6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 596\/(-6)*72\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28 or 3011\/103?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) 2\/41 (c) -0.272 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44824*k**2 - 44824*k**2 + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -268 + -116?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {p: 3, b: 10, x: 2, i: 3}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/28 in 286, 33, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + -1.4. Suppose -4*h + 0*h - 4 = 0. Which is the nearest to -2\/5? (a) 6\/7 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -11. Suppose 2*g - 20 = c*g. Let f = g + 20. What is the remainder when 29 is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/779 and -101\/2?\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17 + 2)*(-216)\/60. Let d be (-2)\/(-9) + 2\/c*534. Suppose 0*l - 240 = -3*l. Calculate the greatest common divisor of d and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 13. Let t be m(-9). Let o = t + 45. Suppose o = -a + 23. Solve 3*s - s - 8 = a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/14)\/((-39)\/(-52)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56 and 25508?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -149*g + 19*g + 1777 + 16683. What is the remainder when g is divided by 59?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-70))\/(667\/(-4669)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**3 + 3364684*w**2 + 6729374*w + 3364688 = 0.\nAnswer: -1, 1682344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 85\/25 + 8\/(-20). Suppose -r*u + 5 = -s - 14, -3*s = -u + 17. Solve -3*j - 15 = 0, -f + u*f - 2*j - 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 12251 = 7*d - 5*d, -5 = -5*d. Suppose 0*z = 9*z - a. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 12 + 12 + (0 + 0 + 1)*(-2 + 5 + 9))*(0 - 2*k + 0 + 5*k + 0*k - 3*k + (k - 2*k - k)*(-1 - 1 + 4) - 2*k + 0*k + 3*k) in the form g + d*k and give d.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 24*f + 138. Determine d(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 12*a + 14 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 4, -13\/3, -13, 1\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-14)\/4 - -3). Let u(r) = -5*r**2 - 2*r + 1. Let c be u(d). Is -14 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1. Let z(d) = d - 3. Let h(g) = -5*v(g) + z(g). Suppose -2*k + 4 = -2*u, -2*u - 4 + 0 = 2*k. List the prime factors of h(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 12:28 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 9716?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46246, 92512, 138782, 185056, 231334, 277616, 323902?\nAnswer: 370192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -54312 (base 7) in base 8?\nAnswer: -32335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14961?\nAnswer: 3, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyp when three letters picked without replacement from {e: 1, f: 2, y: 4, p: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2. Let f(z) be the second derivative of 749*z**4\/12 - 980*z. Give q(f(w)).\nAnswer: -1122002*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -4675949.\nAnswer: 6\/4675949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31184*d**3 + 9*d - 495367 wrt d.\nAnswer: -93552*d**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-1\/3)*r*r)**(-26\/7))**(-2\/57)*(r**1*r*r**(-6\/5))\/((r\/(r*r**(-2\/7)*r))\/r*r)**(-40) assuming r is positive.\nAnswer: r**(-23336\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3 - 39680*t**2 - 196375594*t + 4339489484 = 0. What is t?\nAnswer: -9931, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 2092*b**3 + 15*b**4 + b**2 + 4248*b**3 - 6*b**4 - 2099*b**3 in the form a*b**4 + k*b**2 + q + m*b**3 + z*b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of k**4\/4 + 2*k**3 + 3*k**2\/2 + 5*k - 2. Let s be n(-5). Find the third derivative of 2 - 2 - 10*h**2 + 2*h**3 + s*h**2 wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -19206.\nAnswer: 19204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 644.888 rounded to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5 + 7. Let u = 2232 - 2230. Solve -u*x + 18 = o*b, b + 5 = 2*x - 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297, 4, -3, 1234, -2, -4, 0 in ascending order.\nAnswer: -4, -3, -2, 0, 4, 297, 1234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38 and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 13 = -12. Suppose -3*q + t*q = 68. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60113 = -424*i - 416*i - 8767 for i.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*o + 34, 14*o - 19*o = 4*a - 37. Let q = 1.4 + -1. What is the nearest to 1\/3 in q, -2, a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1400, -2796, -4192?\n\"Answer: -1396*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 60*g + 8. Determine o(-2).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02193 + -0.021928152. Round d to seven decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 3*y + 4. Determine b(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04111 + -0.049128. What is h rounded to 4 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 16*u + 13*u + u. What are the prime factors of f(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98294 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2595544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**3 - 23*k**2 - 9*k + 25. Let x be q(-11). Let i be 4\/x*75\/(-10). Which is smaller: 1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1869 + 93*v + 144*v - 1869.\nAnswer: 237*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g - 13. Give s(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 - 56*z + 245. Let l be k(-60). What is the second derivative of -q**3 - 55*q**2 + 24 - 6*q**3 - l*q**2 + 10*q**3 + 5*q wrt q?\nAnswer: 18*q - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10850099 to the nearest integer?\nAnswer: 3294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 2*q - 6*q**2 + q**2 + 3*q**2 + 879*q**3.\nAnswer: 879*q**3 + 3*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000003617 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 2*g + 17. Let h be n(5). Let y(b) be the first derivative of 2 + 3\/2*b**3 + 7\/8*b**4 - 3*b**h - 2*b. Factor y(l).\nAnswer: (l - 1)*(l + 2)*(7*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = z - 3*z + 130, 4*z + 5*p = 259. What is the greatest common divisor of z and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394534?\nAnswer: 2, 3, 593, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -17 (c) -66435 (d) 2\/55 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 + 172. Suppose 6*p + m = 3*p. Let l = p + 49. Does 9 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311*0.076.\nAnswer: -23.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19.977 + 0.023. Let y be (28\/63)\/(12\/9). Is a > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {v: 3, f: 1, z: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-13)\/((u*u*u**5)\/u) assuming u is positive.\nAnswer: u**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 572752950 divided by -40910925.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-16))\/((-1)\/4). Suppose 0*j - 540 = a*j. Round j to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130012520 divided by -10?\nAnswer: -13001252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -49. What is the common denominator of h\/1 + (244\/(-32) - -1) and -31\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q + 14. Let d be a(5). Solve -5*f + 7 = b, -3*b + d*f - 2*f - 13 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 25 = -5*c, 3*c - 1 = -q + 1. Let w(p) = -2 + 3 - 4*p**3 - p**2 + q*p**3 - 3*p**2. Determine w(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -12*((-2)\/6 + (-42)\/(-18)). Calculate the lowest common multiple of (4 + -2)\/(2\/4) and -1 - (2\/(-2) - (-2 - a)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 4*u**2 - 9*u + 36. Let h be j(4). Suppose -25*p + 32284 + 72741 = h. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 equal to -118\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*m - 3*m = -3, 5*m = 5. Let i = 1 + y. Solve 0 = -q - 0*q + i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 - -98. Suppose -2*c + 7*c = 2*r + 28, -4*r + 4*c - j = 0. Is -3 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -68, -125, -164, -185, -188, -173?\n\"Answer: 9*g**2 - 84*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55329382 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 4*s**2 - 2*s - 1. Let x = 43 - 38. Let d be b(x). Solve d = -2*a + 16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 2940.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75 + 43*g - 75 + (2 + 0 + 2)*(-g + 0*g - 2*g).\nAnswer: 31*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13402 + -13399. Sort 2\/3, f, 11, 8 in decreasing order.\nAnswer: 11, 8, f, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 88*s - 474. What is the units digit of d(81)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267*h - 437356053 + 437356053.\nAnswer: -267*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -41, -7, 47, 127, 239, 389, 583?\nAnswer: 827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(300) - (-1*sqrt(300) + sqrt(300))).\nAnswer: sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41726 is divided by 2196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-6)*675\/(-2100)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -13. Let j(s) = s**2 - 226*s - 6. Let u be j(0). Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*h + 156 - 6, -5*l + 5*h + 270 = 0. Calculate the remainder when 415 is divided by l.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 o, and 1 c when four letters picked without replacement from ccwwhhcohwhwccwhhwhc?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38, -84, -130?\n\"Answer: -46*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.982 or 846146?\nAnswer: 1.982","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 4)*0\/(-1). Let f = -7877 + 7878. Which is the closest to f? (a) 5 (b) q (c) -27\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 61*z**2 - 62*z + 77. Let l be u(62). What is the greatest common divisor of l and 1023?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 divided by 24?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.08 and -94744.\nAnswer: -94743.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 102*n + 15078. Give f(82).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 > 0.4132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1824.2 + 1820.2. What is the third biggest value in r, -3\/2, 0.14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/4 of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**5 - 540*q**4 - 1160*q**3 + 8760*q**2 + 1156*q - 8220 = 0.\nAnswer: -5, -1, 1, 3, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 8:41 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 565 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4058956141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t + t + 27*t**4 + (2*t + t - 6*t)*(3*t**3 + 0*t + 0*t) to the form q*t + o*t**3 + s + m*t**4 + y*t**2 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 8. Calculate the remainder when (-6)\/4*-10*(-124)\/(-12) is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/11)*b*b**(-3)*b assuming b is positive.\nAnswer: b**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 69*d + 2298582.\nAnswer: -(d - 1551)*(d + 1482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8493.69 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v\/(v\/(v\/v**(-1\/5))))*v**(-18)*v assuming v is positive.\nAnswer: v**(-91\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/12*2)\/((-90)\/300). Suppose 3*u - b - 4 = 0, v*u - 4*b + 5*b - 20 = 0. Sort u, -19, 2 in decreasing order.\nAnswer: u, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(40\/(-8))\/15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 4 + 1 + (-77 - 58 + 174)*(4 + 1 - 3))*(o - 3*o + o) + (-6 + 5 + 7)*(2 - 2 - 2*o) to b + l*o and give l.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wfnwwxfnw. Give prob of picking 1 x and 1 f.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1272 and 1608.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000244088 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/27344 - 111081\/109376. What is the common denominator of a and 5\/292?\nAnswer: 4672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*-12*(-7)\/(-140)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51254458739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58364 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24801*s + 24801*s + 702*s**3.\nAnswer: 702*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 114671?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(3\/7)*c*((c\/(c\/(c**(-2)*c)*c*c))\/c)\/c*c\/c**(1\/10)*c**(3\/4)*c*c assuming c is positive.\nAnswer: c**(151\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 770, 786, 814, 854, 906?\n\"Answer: 6*n**2 - 2*n + 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**3*o**2*x**3 + 7*d**3*o**2 + 525*d**3*o*x + d**3*x**2 - d - 2*o**2 + 423*o*x**3 wrt x?\nAnswer: 12*d**3*o**2 + 2538*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (93\/(-434))\/(42\/364)?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -591.\nAnswer: 591.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/6233 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2010201?\nAnswer: 2010200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyyyyyxyxxyymym.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -14*o + 5. Suppose -40*y + 1140 + 820 = 0. Let z(w) = 140*w - 49. What is y*d(f) + 5*z(f)?\nAnswer: 14*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, and 1 m when three letters picked without replacement from mmpmpmyvmmlmmmmmvmmm.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -9730*w + 278. Let c(v) = 141*v - 4. Suppose 0 = 138*m - 141*m + 6. Let p(j) = m*u(j) + 139*c(j). Let o(a) = -a. Calculate p(o(s)).\nAnswer: -139*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33622.9 (b) 1.8 (c) 3\/4 (d) -1 (e) 1 (f) 0.5 (g) 5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43.25873 - -111.25836. Let f = z - 68. Round f to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c**3 - 5*c - 3. Let s be f(-3). Let u = 99099 + -98945. Calculate the highest common divisor of u and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -479 + 63*f**2 + 479 + 21*f**2 as z + x*f**2 + j*f and give x.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 4*k + 3. Let u be q(6). List the prime factors of (22\/(-3))\/((-10)\/u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 24237790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b + 19*b + 0*b + 38*b.\nAnswer: 56*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27695095 and 150?\nAnswer: 830852850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z = -3*b - 16, 5*z - 3*b - 32 = 0. Suppose 6 = -2*o - 2. Suppose -5*g = -0*g - 10. Put z, g, o in decreasing order.\nAnswer: z, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**3 - 193*h + 16*h**3 - 18*h**3 - h**3 + h**3 - h**3 + (0*h + 2*h + 0*h)*(2*h - 2*h**2 - 2*h).\nAnswer: -4*h**3 - 193*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -71855, -1, -3 in increasing order.\nAnswer: -71855, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20926330?\nAnswer: 2, 5, 787, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19858868, -39717731, -59576594, -79435457?\nAnswer: -99294320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1111 - 1.6111. Which is the smallest value? (a) -2 (b) -171 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*k + 1327*k - 19126 + 2084 = 57454 for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*q - 9, -2*y + 1 = -y. Suppose o - 9 = -2*v + 2*o, 4*v + q*o = 39. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50320 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -5. Let o be -3 + 5 + n + -1. Let c = 25 - o. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3520 = m. Let z = 72 - 32. What is the highest common divisor of m and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of 1\/120*g**6 + 0*g - 3*g**2 + 1\/12*g**5 + 1\/12*g**4 + 0 - 5\/6*g**3. List the prime factors of l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 + 1. Let u(p) = -17*p**2 + 16*p - 24. Let x(j) = 4*r(j) - u(j). Let x(k) = 0. What is k?\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20795*v**4 + 2*v**2 + v - 11148?\nAnswer: 499080*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244960 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/27)\/((-2)\/20))\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 2 = -2*a. Let k(v) be the third derivative of -v**4\/8 - v**3\/2 - 7*v**2. What is k(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krcrkkrkrk. What is prob of sequence kc?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 124660*v - 124658*v, -2*v - 2 = -3*n - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 318 (b) -1\/508 (c) 61 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10957011 and 177.\nAnswer: 646463649","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 198*x + 1197. Let l = -3 - -4. Calculate the remainder when j(-6) is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 8*i = -2*q + 2, 4*q + 3 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 z when two letters picked without replacement from tbsbssssszpszsbss?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 1 + (17 - 1). Suppose 3*h - 25 = 2*x - 10, 3*h - 3*x - v = 0. Solve -6*t**2 - t - t**3 - 2 - 5*t - t**h = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 - 7*m + 15. Determine b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -153, -279, -381, -459, -513, -543?\n\"Answer: 12*k**2 - 162*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/1)\/(((-84)\/(-9))\/7)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2810350 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/3844963?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -21. Suppose -z + 78 = z + 2*w, 124 = 4*z - 4*w. What is the remainder when z is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, z: 1, c: 1, s: 1, o: 1}. What is prob of sequence szc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34077 (base 9) to base 15.\nAnswer: 6ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**4\/3 - 40*j**3 - 2504*j**2\/3 - 7040*j - 61952\/3 = 0.\nAnswer: -22, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -24. Which is the nearest to q? (a) -1\/7 (b) -6 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035138 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 2*g - 3*w - 8 = 0, 4*w + 2 = -g. What is the least common multiple of (-225)\/(-20) - (-4)\/(-16) and 1 - (-21 - g - -4)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 8:44 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 34*n**3\/3 - 9*n**2 + 7*n + 22. Is u(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 18529412.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 19*l - 13. Let x be a(-18). Let f(c) = -c + 3. Calculate f(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101220021100 (base 3) in base 14?\nAnswer: 155bd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2062068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 283 = 2*i - 970, 135 = n - 2*i. Let g = 12063 + -12004. What is the remainder when n is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a decade in years?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38 - 31. Suppose 14 = -6*s + u*s - 3*q, 4*q + 10 = -3*s. Suppose c = 5*m - 16503, m = -c - s*c + 3291. What is m rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73 + (24 - (33 - 62)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 319 - 47. Let z = f - -36. Suppose -z = -4*b + 2*n, -2*b - 7*n + 178 = -2*n. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:45 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k + 15. Let m be w(-1). Solve -2*l - 19 + 4 = -c, -5*l - m = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -3*b - 27, 23*h + 0*h + 5*b = 26*h - 49 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 6, b: 11, n: 1}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-9) - (-16)\/(-180). Let n be ((-22)\/(-33))\/((-4)\/(-24)). Which is the smallest value? (a) n (b) u (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4048 is divided by 1203?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.199 + 16.199. Which is the nearest to t? (a) -1 (b) 3\/8 (c) 5 (d) 80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0.5, 4.2?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9584, 19138, 28792, 38594, 48592, 58834, 69368?\nAnswer: 80242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {g: 4, a: 2, i: 2, s: 2, q: 3, c: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hff when three letters picked without replacement from {f: 2, n: 4, h: 10}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 2 - 24 - 24.\nAnswer: -2*c - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 14 = 7. Let q(a) be the first derivative of 0 - w*a**2 - 8 + 5*a**2. Let t(o) = 2*o**2. What is q(t(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21 + 5)*((-30)\/8 + 3). Solve -n*f + 8*f = -4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u - 10 - 8 = 0. Let r be (-48)\/(-8) - 3\/(-6)*u. Suppose -r*q = -s - 532, -2*q + q + 96 = 5*s. What are the prime factors of q?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + 4 + -3 - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*n + 2206 - 2011 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, n: 4, x: 6, k: 1}. Give prob of sequence fx.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 19 = -5*r, -2*r - 10 = -5*q + 6. Suppose q*o = 7*o. Suppose 2*s + o*x = -4*x + 18, -x = 3. Solve 5*l - 3*p = s, 0 = 6*l - 5*l + 2*p - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6337.999993788 + 6338. What is j rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.11, 0, 10\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 5. Let b = 46 + -50. Calculate z(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + 136\/(-20))*10\/(-4). Let d be 2 - (-5)\/(a + 3). Suppose 0 = d*k - 127 - 2. Is 6 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(4\/7))\/v*v)\/v)\/(v\/(v\/((v**4\/v)\/v)))*(v*v*(((v\/(v*v*v**(-3\/7)))\/v*v)\/v)\/v)\/v**(-3) assuming v is positive.\nAnswer: v**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.778983 rounded to 1 decimal place?\nAnswer: -23.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19874505 or 0.03?\nAnswer: 19874505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6255 divided by 695.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 3:13 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - -10?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 24472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 40. Suppose -4*g + b = -g. Solve g*u = 3*o - 22, 2*u + 1 = -3*o - 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 157 by -137.\nAnswer: -157\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1004*p = -5332 + 312 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-3*(-4)\/(-12)). Suppose -8 = x*f - 32. Suppose 0 = -13*j + f*j. Solve j = n + 4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6517 and -0.01.\nAnswer: 0.006517","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17.5 - 18. Suppose 0*r - 3 = -r. Let o be (-3)\/(-6) - (-7)\/(-6). What is the nearest to -6 in o, r, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i + 4. Calculate the remainder when (176\/24)\/((-2)\/(-6)) is divided by k(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13513 is divided by 5469?\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 27. Let s be (-6)\/(-8)*(-8)\/r. Is 0.5 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 greater than 226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102114 and 238266?\nAnswer: 714798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 0*m + m)*(3*m**4 + 0*m**4 + 0*m**4 + (4*m**2 - 2*m**2 + 0*m**2)*(2*m**2 + m**2 - 2*m**2)).\nAnswer: 25*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by -26\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -201 - 1?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 69, 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -382 + 381.8. What is the nearest to -1.8 in 1\/2, v, 1\/4, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Suppose 3 = 2*o - 1. Suppose j + 5*t - 16 = y, -o*t + 25 - 78 = -5*j. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 1, 4, -4, 5, 2019907 in increasing order.\nAnswer: -5, -4, 1, 3, 4, 5, 2019907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64497340139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121 + 8*s**4 - 245 - 201*s**4 + s + 186 wrt s?\nAnswer: -2316*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - 4*(sqrt(117) - sqrt(117)*-1)) + sqrt(117))\/sqrt(9).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126399?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = 12. Let j(a) = -a**2 + 6*a + 6. Let c be j(h). Suppose -2*v - 4 - 21 = -3*l, 0 = 2*l - 3*v - 15. Solve 3*i - c*i + l = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (319*(-620)\/(-4495))\/20?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*h**2*j**2 - 3*h**2*j + 638*h**2 - h*j**2 + 4*h*j + 6*h + 143048*j**2 - j wrt j?\nAnswer: -22*h**2 - 2*h + 286096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-54)\/6*(-66)\/198?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4 + 2 = 2*x, 0 = 5*f - 25. Suppose c - 3*c + x = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*2*1 - sqrt(136))\/sqrt(800).\nAnswer: sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 222? (a) 0 (b) -3 (c) 4 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -91*l**2 + 2*l + 552. What is the remainder when s(0) is divided by 191?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**4 + 2859332*c**3 + 14296536*c**2 - 17155872*c = 0.\nAnswer: -714828, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 909 and 23.402.\nAnswer: 932.402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 729 is divided by 70?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/18 and ((-136)\/60)\/(26\/(-42) - -1)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*((-5 - -3) + 5). Let d be 94 + (-3 - (-5)\/5). Let g = -91 + d. Solve -r - g = 4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 2*h**7\/315 + 2*h**6\/45 + 2*h**5\/15 + 2*h**4\/9 + 2*h**3\/9 + 6*h**2. Let t(u) = 0. Calculate u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 5*t - t - 3*t. Let u(m) be the first derivative of 5*m**2\/2 + 10. Let j(c) = -6*l(c) - u(c). Let a(z) = -16*z**2. What is j(a(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - 14. Let y be (-41)\/3 - 2\/(-3). Let k = y - d. Calculate the lowest common multiple of k and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 496\/(-12)*(-81)\/54\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.32 and 5481.747390742.\nAnswer: 5481.427390742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 643*j*t**4 + 1660*j*t**3 + 5*j*t**2 - 3*j*t - 191*j + 6*t**4 + 7*t**2 + t + 5 wrt t.\nAnswer: 15432*j*t + 9960*j + 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 385, 545?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69\/18 - 8\/2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007400798 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069923927 to four dps.\nAnswer: 0.0699","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 1343030?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16328, 16367, 16476, 16691, 17048, 17583, 18332?\n\"Answer: 6*h**3 - h**2 + 16323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -203525 (base 6) to base 14.\nAnswer: -5d93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 152*l - 46. Let s be c(51). What is the second smallest value in -48, 0, s, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 947.4, -7 in decreasing order.\nAnswer: 947.4, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7370 - -58881\/8. Let i = 43 + -177. Calculate the common denominator of q and i\/(-110) + (-4)\/10.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.466 + 0.766. Which is the closest to 2\/13? (a) 3.2 (b) 3\/4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1317315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -317432968 + 316741285.9886. Let w = -691589 - n. Let y = w + -93. What is y rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t**3 - 6*t**2 - t + 6. Suppose a = -2*a + 5*q + 43, -2*q - 34 = -4*a. Let v(y) = 7*y**3 - 5*y**2 - y + 5. Calculate a*v(z) - 5*u(z).\nAnswer: 2*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1721, -5351, -15191, -34343, -65909?\nAnswer: -112991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 4*r + 4. Let o be k(-3). Suppose 3*l = 5*s + o, 2*s + 0 = 4*l - 6. Is 16\/7 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = 19*b - 68. Let i be 46\/3 + (-3)\/9. Find the common denominator of -42 and (25\/i)\/1 + (-2)\/b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7.15 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2656)\/8964)\/((-2)\/3).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*n**3 - 180*n**3 - 3 + 3 + 659*n**3 - 210*n**3.\nAnswer: 217*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 4*y - 3. Let s be v(-3). Suppose b = -s*b. Suppose -5*r - 5*m = -10 - 15, 3*m = -2*r + 15. What is the closest to r in 0.2, 4\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -587, -1172, -1757, -2342, -2927, -3512?\n\"Answer: -585*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - 16. Which is the smallest value? (a) -0.3 (b) 2 (c) 0.18 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1050)*-5*3*300\/(-180).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 904 and 76212624?\nAnswer: 904","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - f - 1. Suppose w = 4 + 2. Calculate the remainder when m(-3) is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.91 + -0.09. Let p = -4883.725 + 4893.7249968. Let a = p + z. What is a rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010001111 (base 2) in base 11?\nAnswer: 2038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wsm when three letters picked without replacement from epvevvewvwpsvvm?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3212768 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 5, -75, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17097?\nAnswer: 3, 41, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 332*u - 646. Let a = 14 - 10. Suppose 5*q - a*d = 42, 0*d - d - 33 = -5*q. What is the lowest common multiple of q and h(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - u = 4*u + 145, -u = 1. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/8 - 148\/(-16). Let t = -29 + j. List the prime factors of ((-48)\/t)\/(3\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -6*p**3 - 496*p**2 + 165*p - 64. Let i be b(-83). Solve i*u = -o + 24*u + 2, u = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120 divided by -4\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3239209.\nAnswer: 937, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(0*u - 4*u + 2*u)*(4*u**3 + 3*u**3 - 5*u**3).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 649506 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1950 - -185. Let k = y - -2372. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5))**49*(u*(u*u**(1\/3))\/u)\/(u\/((u**20*u)\/u*u)) assuming u is positive.\nAnswer: u**(-671\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 202? (a) 4\/5 (b) 4 (c) -6 (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kw when two letters picked without replacement from {w: 5, k: 5, p: 3}?\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81258 is divided by 611?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*a + z + 6, 0 = 4*z - 8. What is the units digit of (348 - -23) + 5\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 3 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*y = -111*y - 90 - 54 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:59 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 17.4, -5\/16, -5, -7?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -113*h + 29. Let d be u(3). Let s = -308 - d. Solve -3*l - 5*o = -0 + 4, -5*o - 14 = -s*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**1*h)**48\/(h**(2\/31)*((h\/h**(2\/9))\/h)\/h))**16 assuming h is positive.\nAnswer: h**(433712\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8402 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.9 and -3.\nAnswer: -62.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2 (b) 5 (c) 2613\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6280*-0.0419\nAnswer: 263.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 48 + 18. Suppose -3*m - 3 = -j. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -979*-2\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*u - 44 + 9, -16 = -2*u - 4*n. Suppose -2*j + u*j = 36. Is (-189)\/(-28)*24\/j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -95*r**3 - 97 - 2 + 95*r**3 + 19*r**4 with respect to r.\nAnswer: 76*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/800 + 2009\/2400. Let j(q) be the third derivative of 1\/24*q**4 + k*q**3 + 1\/12*q**5 + 0*q + 6*q**2 + 1\/120*q**6 + 0. What is j(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30996 (base 11) to base 2\nAnswer: 1011000000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*z + 35, -4*l - 4*z + 18 = -22. Let n(w) = -w**2 + 10*w + 5. Let s be n(l). Is 41 a factor of (1 - (-14)\/s)*(-39 - 84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2280, 4570, 6850, 9114, 11356, 13570?\nAnswer: 15750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2031682 or -2031678?\nAnswer: -2031682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9c7914 - 159?\nAnswer: 9c7788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = -6*t + 1472. Let f = 95 - t. What is the third smallest value in -5, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 13*q**2 + 14*q + 26. Let x be t(-12). Suppose 0 = x*z + 24 - 102. What is the remainder when z is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64216133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-3220)*-23 + -7 + (3681\/(-55))\/(-9)?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 1. Let x(n) = -4*n + 1. Let b be x(j). Sort -4, b, -1 in decreasing order.\nAnswer: b, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76 - -14. What is the common denominator of -29\/18 and -1 + 16\/10 + a\/(-40)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1249 - (66\/12 + -6)*(-20 - -2). What is the highest common divisor of 1736 and r?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4389 and 212401.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*y + 9 = 11*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62758919 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Do 96\/757 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -140*s**5 - 4552*s**4 + 4178604*s**3 - 2023208*s**2 - 4774384*s + 1431840 = 0.\nAnswer: -190, -1, 2\/7, 6\/5, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ba (base 14) to base 6.\nAnswer: -432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 2*i - l, -3*i - 3*l = -0*i - 51. What is the fourth biggest value in i, 0.5, -0.2, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*o + 220 = -142, 3*a + o = 536. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2040 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a - h + 1355, 2*h = -a - 350. Is a\/(-3) - (-1)\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*q - 9*q. Find the common denominator of -59\/18 and (q\/(-165))\/(2\/(-3)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of -s**6\/360 + s**5\/24 + s**4\/8 + 29*s**3\/6 + 2*s - 11. Let x(p) be the second derivative of v(p). Give x(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 309317714 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 + -170.9. Let t = -33 - q. Let z = t + 1.1. Which is the closest to z? (a) 2\/11 (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 + 0*i**4 + 0*i**4)*(2*i + 0*i + 0*i) - 3*i**5 - i**5 + 2*i**5 + 7*i**5 - 4*i**5 + 6*i**5.\nAnswer: 11*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 55836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39\/322 + 1\/46. Let z = 33 + -32. Is s at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in 3, 0.2, -10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12670 (base 10) to base 15.\nAnswer: 3b4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 114361636*b**3 + 17497351696*b**2 + 3272365*b + 153 = 0.\nAnswer: -153, -1\/10694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -2*y - 3*j, 6*j - 10*j - 666 = -5*y. What is the remainder when y is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*k = -4*k. Let b(u) be the third derivative of 0 - 1\/6*u**4 - 6*u**2 + 0*u**3 - 1\/30*u**5 + k*u. What is the second derivative of b(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5614.\nAnswer: 2, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 92\/22 - (-8)\/(-44). Let r = -1542 - -1542. Sort -10, v, r in decreasing order.\nAnswer: v, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**5 + 342*f**4 - 74*f**3 - 12654*f**2 + 72*f + 12312 = 0.\nAnswer: -171, -6, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -197 - -386. What is the common denominator of 3\/2 and 4\/(-18) + (-984)\/f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + 3*g + 27 = 102*s - 103*s, -12*g - 60 = -4*s for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 - 6*t**2 + 46*t - 2. Let u be v(-5). Sort 0.05, u, 1\/4, -14, 1.\nAnswer: -14, u, 0.05, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32654 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 11*n - 8. Suppose -2*m + 13*u = 10*u + 13, 2*u - 10 = n*m. Sort 20, m, 0 in ascending order.\nAnswer: m, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2129 - -310847\/146. Calculate the common denominator of 5\/2 and o.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 10:49 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p**3 + 5*p**2 - 16*p - 21. What is b(-4)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -10*g - 1. Let h be s(-1). Suppose 0 = 37*d - 43*d + 864. What is the greatest common divisor of h and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.35 and -431?\nAnswer: 430.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 290 + -130. Let a(x) = x**3 - 4*x**2 - 2*x - 5. Let b be a(5). Find the second derivative of -160 - b*k + 4*k**3 + l wrt k.\nAnswer: 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 358*m**2 - 274*m**2 + 2*m - 231*m**2 + 2 + (-4*m + 5*m - 3*m)*(21*m - 16*m + 25*m).\nAnswer: -207*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/15 - (0 + (-2)\/(-2)). What is the fourth smallest value in 2, t, 5, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -3 (c) 1\/7 (d) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401775301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/2 - 75\/2.\nAnswer: 3*(x - 5)*(x + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**2 - 22965*x + 22962 = 0 for x.\nAnswer: 1, 7654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 4. Let a be t(0). Let r(f) = 79 - 79 + a*f. Let k(o) be the first derivative of -2*o**2 - 3. Determine k(r(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 6\/2 - -2. Suppose 68*v - 67*v = d. Solve 1 = m + v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 10. What is the remainder when 5 is divided by h(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 1. Let f(g) = -2*g - 4 + 12*g**2 + 1 - 3*g**2 - 5*g**2. Give -f(r) - 5*k(r).\nAnswer: r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - 0.099982. What is f rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/98808 and -28\/185265.\nAnswer: 1482120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 64*z**2 - 8*z + 4028. Determine k(-65).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0463861105 to three dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3804 less than 1005?\nAnswer: 4809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 1 = 26. Suppose m - y - 2*y = -7, z*y - 19 = -2*m. What are the prime factors of -7*(12 - 13)*(m + 0)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3476018 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2371235 divided by 16?\nAnswer: 2371235\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0 - 6 = 0. Differentiate -1 + 17*a - 8 - y + 0 with respect to a.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(200)*-1 + 1.\nAnswer: -10*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 12 = -4*r. Let j = r - 1. Let c = 0.5 + -0.2. What is the smallest value in c, -3, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 877616 and 1264?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Suppose -v = m + 3*v - 27, -2*m = 5*v - 48. Let d = m + -39\/2. What is the third biggest value in 0.3, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence al when two letters picked without replacement from anatnkklllklttknakk?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 1.95258.\nAnswer: -7.81032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by -5?\nAnswer: 46\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 4. Let l(m) = -m**2 - 2*m + 5. Let g(v) = -6*v - 22. Let a be g(-4). Let s be l(a). Sort s, r, 2 in descending order.\nAnswer: 2, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485475, 970951, 1456427, 1941903, 2427379, 2912855?\nAnswer: 3398331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 108*s + 104.\nAnswer: 4*(s - 26)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:12 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*c**3 - 36*c**2 - 38*c**2 - 46*c**3 + 74*c**2.\nAnswer: 53*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 - 13*g + 17. Calculate w(6).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2688.2 and 0.3.\nAnswer: 806.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2626 is divided by 375.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 505399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.596 - -1.796. What is the biggest value in 0.8, -4, -5, f?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-81)\/42 - 10\/140. Sort -3, t, 10 in increasing order.\nAnswer: -3, t, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 c, and 2 e when four letters picked without replacement from {o: 4, j: 8, c: 2, e: 3}.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*-1*sqrt(70))\/(sqrt(90)\/(-4*sqrt(9))))**2.\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (103 + -2)*(60 - 61). Let h = -101349\/5 + 20370. Let m = h + f. What is the common denominator of -145\/6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*v**2\/13 + 16476*v\/13 + 6790\/13.\nAnswer: -2*(v - 485)*(17*v + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z**3 + 3*z**3 + 6*z**3 + 1 - 15*z**3 + 46*z**3 as y + f*z**2 + i*z + p*z**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 761 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4685c + -77?\nAnswer: -468d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + -4*(2 + sqrt(153))*2 + -2 + 0 + sqrt(153) + 1))**2.\nAnswer: 630*sqrt(17) + 7722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - 8*k + 12. Let o be v(9). Suppose 0 = 3*r - 15*r - 180. Let y be -3*((-5)\/r)\/(3\/(-9)). Solve y*p = -3*z - 2*z + 5, 4*z - p - o = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3*q = 18, -22*q - 23 = 4*y - 2*y - 25*q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52860 divided by -80?\nAnswer: -2643\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -436\/3 - -146. Which is the nearest to -3\/8? (a) -1\/3 (b) 2 (c) z (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 23 - 2 - (-45 + -30 + 80).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 12*u**2 + 4*u - 5*u**2 + 10*u**2 - 3. Let j be a(2). Let f = j + -47. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 3*c**2 + c**2 + c**2 + 2 - 2 + 3*c**2 + 11*c**2 + 3*c**2 + (3*c - 3*c + 2*c**2)*(1 + 1 - 1) + 1 + c**2 - 1 - 8 - 3*c**2 + c**2 + 34.\nAnswer: 17*c**2 + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, f: 2, j: 1, b: 1, z: 1}. Give prob of picking 2 z and 1 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*14\/(364\/65)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 + (1624\/7 - -8). Suppose 222 = -6*x + j. Solve 0 = -x*p - 1 - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94350204 to the nearest integer?\nAnswer: 9713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.05 - -16.15. Round h to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, s: 1, j: 2, v: 1}. Give prob of sequence yyy.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/6)\/((-9)\/(-108)). Is (-222)\/j - (-1)\/4 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 151 = -3*a, -2*a + 25 + 69 = -2*r. Let l = -106 + a. List the prime factors of l*(12\/(-9))\/4.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a + 20 = 0. What is the highest common divisor of a and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4471?\nAnswer: 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27479.138 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (60\/(-11))\/(21\/14) + -1. Let f = t + 1359\/286. Suppose s + 2*o + 5 = 0, -4*s + o - 5*o = 12. Is s <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75801\/40 at least as big as 1895?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1431146 (base 10) to base 4.\nAnswer: -11131121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and 31.028279.\nAnswer: -465.424185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 4) to base 13\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**18*c)\/(c**(22\/3)*c)*c**(-16)\/(c*c\/(c*(c**(-19)*c)\/c)) assuming c is positive.\nAnswer: c**(-73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 221440 (base 5) in base 9?\nAnswer: 11555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9477, 9473, 9467, 9459, 9449, 9437?\nAnswer: 9423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -10741, -21827, -32915, -44005?\n\"Answer: -y**2 - 11083*y + 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/385236 and 73\/427518.\nAnswer: 35056476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 17 = -l, -2*l + 139 - 133 = -2*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fryfd. What is prob of sequence ffdr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((120\/(-12))\/(-10))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681779 is divided by 21972?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 8 = -2*m. What is the closest to 0 in m, 4\/5, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*1784\/(-3) - 118\/(-177). Calculate the greatest common factor of 140 and w.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:17 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 7*d - 12. Give c(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1319009 by 5.\nAnswer: -1319009\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 9) in base 15?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4179*p**5 + 5*p**3 - 372*p**2 - 4919731*p wrt p.\nAnswer: -83580*p**3 + 30*p - 744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*v**6 - 1611*v**2 + 5*v**6 - 5*v**6 + 1648*v**2 wrt v?\nAnswer: 13200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5196\/26 + (-154)\/(-1001) and 20.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 41, 82, 139?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/26412 and -23\/14626?\nAnswer: 2720436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*z - 20*z + 11*z)*(3 - 6 + 1) to f + r*z and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 134087328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 206*u**3 + 25*u**2 - 13*u. Give n(-1).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 1, c: 1}. What is prob of sequence tty?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/141 or -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545*w**2 + 253*w**2 + 488*w**2.\nAnswer: 196*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2*sqrt(612) + 5) + 1 + sqrt(612) + 1 + sqrt(612)*1 + sqrt(612).\nAnswer: -30*sqrt(17) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7*1*((-128)\/(-28) + -5). Solve j*r = -34 + 37 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 7*z + 101. Give s(-13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*x + 100*x - 90*x)*(-7*x + 4*x - 2*x) as w*x**2 + t*x + s and give w.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34.8 - -35. Let j = 3 + -2.7. What is the second smallest value in z, -3\/5, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4361 + -1180. Let n = -3196.93 + u. Let k = -0.43 - n. What is k rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 3195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + b**2 + b - 1. Suppose 2*q + n = 5, 1 + 3 = q + n. Let d be x(q). Let w be d\/2 + -1 - -2. Sort 3, 5, w in descending order.\nAnswer: 5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 0.58, -5?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 177, 348, 519?\n\"Answer: 171*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 0 = -2*m. Let y = -0.245 - 0.255. Which is the second biggest value? (a) m (b) y (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 1, -7, 5, -739, 3 in increasing order.\nAnswer: -739, -7, 1, 2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(98) - ((sqrt(98) - sqrt(98)*3) + -4)**2) + 5 + (sqrt(98) + -1)**2 - (-1 + sqrt(98) + 1 + (sqrt(98) + 1)*2)**2*-4).\nAnswer: 217*sqrt(2) + 3238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0 (b) 2\/11 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*a = -39*a + 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of -v**3\/6 - v**2 + 124*v. Let x(t) = 3*t + 5. Let q(u) = -5*l(u) - 2*x(u). Let z(f) = 2*f. Give 11*q(n) + 6*z(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (664\/498)\/((-1)\/(42\/(-8))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -3265, -3\/7 in increasing order.\nAnswer: -3265, -3\/7, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j + 1. Let p(a) = 4. Let f(m) = 1. Let d = -3 + 8. Let c(n) = d*f(n) - p(n). Suppose 0 = 3*u - 5 - 1. What is u*z(i) - 2*c(i)?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4 + 1 = 0, -5*a = 3*s + 10. Suppose 5*b = -3*o + 146, -3*o = 2*o + s*b - 240. Is 14 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2678*j - 2681*j + 4*o + 49 = 0, -j = -2*o - 17. Solve 46*f - j = 399 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*c = -133, -c = -5 + 1. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 290705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59455 and 517?\nAnswer: 59455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -153*(-95)\/55575*-130?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.2, 5, -0.3?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/60 + f**4\/24 - f**3\/3 - 16*f**2. Let z be j(4). Solve -b = 2*v + 5, 0*v = -2*b + 3*v + z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 17*n**3 + 5*n**2. Let k(a) = 14 + 17 + 8*a**3 + 2*a**2 - 31. What is -2*c(x) + 5*k(x)?\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*f + 21 - 1, -20 = -4*f + 4*g. Determine z, given that -z + z**4 + 8*z**3 - 5 - z + 4 - f*z**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, x: 2, z: 7}. What is prob of sequence ztxx?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 + 0*c**2 + 10 + c**2 to the form x*c + l + r*c**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 70*o + 4. Let u be r(-35). Suppose 0 = 2*f - 4, 10*a - 8*a - u*f = 190. What is the smallest common multiple of 6 and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 take away 1.28?\nAnswer: 645.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 536 and 184.\nAnswer: 12328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-440)\/(-3696)*(3\/10 - 3\/(-6))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18879585 is divided by 678?\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 136*i**2*l**2 - 598*i**2 + 2*l**3 wrt l?\nAnswer: 272*i**2*l + 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.934 + -15.934. Sort i, 2\/5, 2\/9, -5.\nAnswer: -5, 2\/9, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 263\/42*y**4 - 22*y**3 + 1\/210*y**6 + 18 - 11\/35*y**5 + 63\/2*y**2 + 2*y. Factor t(q).\nAnswer: (q - 21)**2*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -32, 567, 1\/4, -6\/7, 0.4 in descending order.\nAnswer: 567, 0.4, 1\/4, -0.4, -6\/7, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + (-27 - -43) + 0?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 5*b = 5*x - 137, b = -5. Is x at least -110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*d - 9515, -4788 - 4722 = 5*d + 2*h. What is the common denominator of 68\/3 and (2\/(-4))\/(5*(-210)\/d)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.73 + -1.13. Which is the third biggest value? (a) 1.3 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 2. Let a(v) = 6*v - 3. Give -a(h) + 2*q(h).\nAnswer: -4*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.3 (c) 2\/3 (d) -1\/3 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 0 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92.8 + 1.8. Let d = n + 95. Which is the third biggest value? (a) d (b) -2 (c) -27\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n - n + 14*n + (3 + 0 - 1)*(2*n + 3*n - 8*n) - n + 0*n - n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 = -q + 5*x, 5*x - 10 = 4*q. Is (q + 2)*(-508)\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11486790 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28594\/7 or -4084?\nAnswer: -28594\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.353 + 0.047. Let k = 89.6 + x. Let c = 94.0000171 - k. Round c to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.136 + 1445.864. Let t = s + -1451. Suppose 5*m + q = 12, 2*m - q + 4 = 3*m. What is the closest to 1 in t, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110013202133 (base 4) to base 10.\nAnswer: -5273759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2188868 and 0.3?\nAnswer: -656660.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p - 17*p + 2764 = 0. Let b = 695 + p. Solve -4*x + 26 = 6, 0 = -2*f - b*x + 18 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6465)\/4310*((-32)\/(-10))\/(-2)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 + 28370*t**3 + 12*t**2 - 85062*t**3 + 28371*t**3 + 28334*t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/5 + 21*x\/5 + 18\/5.\nAnswer: 3*(x + 1)*(x + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 4*f + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -5*b**2 + 71*b + 1. Let x(a) = a**2 - 14*a. Let u(s) = -2*n(s) - 11*x(s). Determine u(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 - 55. Suppose 40 + 44 = g*y. Let -3*a**2 - 6*a + 38 - 17 - y = 0. What is a?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f, 4*w - 88*f + 83*f + 6 = 0. Which is the nearest to 0? (a) -2\/11 (b) -0.2 (c) 0.05 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*t + 16 - 27, -4*t = 2*b + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -0.4 (c) 0.1 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.99 - -3. Let o = v + 0.49. Let x = 0.321 - 0.021. What is the closest to 2\/9 in -1, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((0 - 1)*0)\/(0 - -2). Suppose h = 4*m + o - 1 - 12, -o + 1 = 0. Solve -m*d + 3*c = -2*c + 19, 5*d = 2*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g + 5. Let r(d) = 470*d - 21. Give r(u) + 4*s(u).\nAnswer: 506*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 15 + 27)*(2*g + g**3 - 2*g).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 16*n - 58. Suppose -y + 3*o = 7, 2*o - 6*o - 16 = 0. Let d be k(y). Sort d, -4, 4, 0 in decreasing order.\nAnswer: 4, 0, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 4603?\nAnswer: 4610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.3 + -6. Let l = -108 - -105. Which is the smallest value? (a) l (b) -16 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 1. Let l(b) = b**3 + 10*b**2 - b - 11. Let f be l(-10). Let d(q) = q**2 + 3*q - 6. Let n(p) = f*d(p) + 6*a(p). Let y(x) = -x. Calculate y(n(v)).\nAnswer: v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + q + q)*(48 - 107 + 47) + 151*q - 42*q + 200*q - 2*q + 4 - 4 + 2*q - 1 + 1 + (-q - 4*q + 7*q)*(5 - 3 + 0) as t*q + j and give t.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1152)*-2 - (sqrt(72) + -2*sqrt(72) + sqrt(72) + 0))*4)**2.\nAnswer: 73728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 24.6\nAnswer: -49.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 121. Let q be 234\/b*(-1)\/(-3). What is the biggest value in 9, q, -2\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1440)\/(-1200))\/((-3)\/(-20))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((35\/175)\/(1\/5))\/(-5). Let b be (-3)\/(-12) + (-10)\/(-8). Let y = 2.08 - 0.08. What is the nearest to b in p, -4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 22*l**3 - l**2 + 2*l - 1. Let a be 5\/15*(-1 + 4). Let u be o(a). Suppose -u = -2*v + d + 3*d, 5*d - 46 = -v. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/7)\/3)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 6.8 and -0.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 5*l**2 + 5*l + 1. Let i be a(-4). Let h be i\/(-2)*(-2)\/(-3). Is -254*h\/4*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j - 10. Suppose -3 + 15 = -3*z. Let h be p(z). Let x be (1 - h - 1) + -3. Which is the third smallest value? (a) -2 (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from kknsnnssskssknnss?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2278193141?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 8:33 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*j + 6 + 5 = 0, 0 = 2*q - 2*j - 10. Let g(n) = n**2 + n**3 + n + q*n**2 - 7*n**2. Let p(b) = -b**2 - 11*b - 10. Let c be p(-10). Give g(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -4*m - 3*y, 14*y - 11*y = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -811*m + 817*m = 132. Let s be (4 - 3) + (-440)\/m. Let n(b) = b + 24. Give n(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(3\/6 - -1). Suppose l*s = -0*s. Suppose s = -4*y - 0*y + 180. Calculate the remainder when y is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.201 + 2.139. Let r = i - -0.062. Let s = 47 + -43. What is the nearest to 0 in r, s, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i\/((i**6\/i)\/i))))*i*i**(-9\/2))\/((i*i**(-7\/3)\/i*i)\/i)**22 assuming i is positive.\nAnswer: i**(311\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, -6\/13?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -138, -505, -1246, -2493?\nAnswer: -4378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4566.\nAnswer: 2, 3, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 53.\nAnswer: 5\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 1 (c) -6\/17 (d) 0.3 (e) 1\/84 (f) 1000\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3\/4, 9, -10424, 1\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0146 - -2.7954. Let g = d + -2.9. Let q = 0.11 - g. Which is the closest to q? (a) -4 (b) -3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86c60 (base 13) to base 6.\nAnswer: 5120332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/9, -626 in ascending order.\nAnswer: -626, 4\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 11:42 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 336011281 bigger than 336011281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9678*305.46\nAnswer: -2956241.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 466*h + 3. Is p(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 5*o**2 + 4*o + 4. Let w be m(6). Let f be (-4)\/10*(-887 + w). Let p = f - -277. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.38 + 0.27. Let i = -0.04 - z. Let t = i + -0.0699997. Round t to 7 decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z + 2175 = 1125 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3356 = -3877*q + 6148 + 13762 - 1046 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p + 2*i - 12 = -41*p, -5934*p - 3*i + 10 = -5933*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 1. Let l be (-3)\/9*(6 - 9). Let f be l*8\/(-24) + 49\/3. Suppose -3*y - f = -4*i, -3*y - 4*i = 6 + 2. Determine x(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-209*p - 9187 + 9187)*(4 - 4 + 1) + (-p + p - 7*p)*(-3 + 3 - 2) to the form b*p + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 974*i - 4556. Give b(5).\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/4 + 6 - 6\/(-4). Solve -19*t = -n*t + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/3 - 6430604*r**2 + 12861210*r - 19291816\/3 = 0. Calculate r.\nAnswer: -9645908, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/9, 5, -9, 0.4, 59?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -2. Let q be r*(2 - 2 - 1). Suppose 4*f - 17 = f + 4*u, 0 = -q*u - 4. Solve -f*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 127 - -5 - (626 + -554)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (-2 - (35 - 81)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (-10 - -6) + 2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1201 rounded to 3 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from ddddndttdddtt.\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + 595*c**2 - 43700*c + 1018. Give t(132).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4499*g**2 - 8*g**3 + 8998*g**2 - 3*g**3 - 4499*g**2.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n + 1. Let w = 139 - 97. What is the remainder when w is divided by g(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 times -0.122?\nAnswer: 14.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210361 (base 14) to base 6.\nAnswer: -35520453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8178559.4000047 - 8178552.1. Let r = -144 + 136.7. Let w = k + r. Round w to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239*j + 0 + 0 + 251*j + j**2 wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -5*y + 30. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-20)*y*y)*y)**(-1\/25) assuming y is positive.\nAnswer: y**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.097897142 to 4 dps.\nAnswer: -1.0979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -107263 (base 8) to base 3.\nAnswer: -1212010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 - (-221)\/(-39))\/(2\/24). What is x in 0*x**b + 0*x + 0 - 1\/7*x**5 + 2\/7*x**2 + 3\/7*x**3 = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x. Let k = -85 - -80. Let i(r) = 3*r**2. Let j(p) = 3*p**2. Let l(n) = k*j(n) + 6*i(n). Determine s(l(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b\/(b*b\/(b**(-4)*b))))\/b)**(-3\/43)*(b**1)**(8\/3))**37 assuming b is positive.\nAnswer: b**(11396\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of d**4\/12 + d**2\/2 - 2*d. Let t(i) = -5 + 8*i - 6*i**2 + 2*i + 14*i - 24*i. What is 5*f(h) + t(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-6))\/5*(-18)\/(1\/1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 12.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 1, 0, -0.1, 484.2 in decreasing order.\nAnswer: 484.2, 1, 0, -0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 53. Sort -6, -3, -5, c.\nAnswer: -6, -5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*b + 5*w, -3*b + 22 = -0*w - 4*w. Suppose 0 = -3*x + 9, 3*r - 33 = b*r - 3*x. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 59629?\nAnswer: -59630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 72\/48*(-153)\/(-102). What is h in -2*h - 1\/4*h**3 - q*h**2 + 0 = 0?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*q + 6*q - 119*q = -1793 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3\/3 - 681908*k**2\/3 - 23249107712*k\/3 + 18600595456.\nAnswer: -(k + 68192)**2*(5*k - 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 12*z - 5*q + 39, -4*z + 3*q = 41. Let u(a) = -a**2 - 11*a - 27. Determine u(z).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006998 to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -17*z**2 + 2*z - 2. Let l(h) = -484*h + 85*h**2 + 240*h + 233*h + 11. Give 2*l(q) + 11*o(q).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**5\/60 + 9*h**4\/8 - 11*h**3\/3 + 4*h**2. Is i(19) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35450, -1, 4, -5.\nAnswer: -35450, -5, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-27 - -10)) + (3 - 4) + 11?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 6*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219709161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.011 - -60.011. Let v = l + -59. What is the nearest to v in 3\/5, 7, -3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - x - 4*x)*(x**2 - 49*x + 2667 - 2667)*(-3*x - 3*x + 5*x).\nAnswer: x**4 - 49*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + f**2 - 1. Let m(v) = -307*v**3 + 7*v**2 - 7. Let c(g) = -m(g) + 6*n(g). Is c(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8926 + -8791. What is the lowest common multiple of a and 153?\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (298586\/88 - 21\/77)*4. Round z to the nearest one hundred.\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2924 and 23719012?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12797863249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-three fifths of a meter?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/30 + d**2 - 90*d. Let v(y) = -70*y**2 - y. Calculate i(v(s)).\nAnswer: 9800*s**4 + 280*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1377102*m**2 + 697731*m?\nAnswer: -2754204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.87998 rounded to one dp?\nAnswer: -25.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001484 rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15a206 (base 12) to base 7\nAnswer: 3100653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-1\/3)\/u)\/(u\/(u\/(u*u**(3\/17))*u)))**(-2\/13))**(-2\/31))**44 assuming u is positive.\nAnswer: u**(-13552\/20553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**6\/480 - 7*p**5\/120 + 7*p**4\/32 + 3*p**3\/2 - 291*p**2. Solve w(h) = 0 for h.\nAnswer: -1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from {a: 3, s: 12}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -145353023 (base 7) in base 8?\nAnswer: -45026142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = t. Let g be 8\/(-10)*8\/16. Let o = -1.2 - -1. Which is the nearest to t? (a) g (b) o (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1232376*p**3 + 3*p - 13399.\nAnswer: -7394256*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 20*b**2 - 17*b - 35. Calculate the remainder when 63 is divided by x(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 0 - -1*1. Suppose -7*x + 5*x + 10 = 0. Suppose -x*z - u*w = -4*w - 39, 4*w = -z - 9. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)\/(m\/(m*m\/(m\/(m**6\/m)))))**(-20) assuming m is positive.\nAnswer: m**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = -64 + 844. What is the remainder when g is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.114 in -5, 4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1328\/(-7968) + (-1059)\/18?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 62*h**3 - 3*h + 3. What is w(1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3614610 a multiple of 726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1708*u**2 + 2142*u**2 - 965*u**2)*(-u**2 + 2 - 2) in the form g*u + k*u**4 + b*u**3 + i + y*u**2 and give k.\nAnswer: -2885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 12 + 0 = 0. Let u = 60.6 + -32.2. Let d = -28 + u. Which is the nearest to -1? (a) z (b) -0.07 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1730 and 33010.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24.5 and 6.\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/2*(-199650)\/225. What is the highest common divisor of 33 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 3*q + 31, 0 = -q + l - 3 + 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11656 at most as big as 104903\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 15. What is c(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 4.00368. What is g rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132475 and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 3 - 3)*(-7*t + 13*t + 5*t).\nAnswer: -22*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9 - (-10)\/((-160)\/108))*(-4)\/(-558). What is the nearest to -2 in -2, l, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2184 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q - 14. Let z be w(-5). Let l(a) = -a**3 + 5*a**2 + 10*a - 13. Calculate the least common multiple of 16 and l(z).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + (sqrt(100)\/(sqrt(10) + sqrt(490)))\/(sqrt(40)\/sqrt(72))).\nAnswer: -30 - 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x - 28. Give r(-31).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173614779 to the power of 1\/2, to the nearest integer?\nAnswer: 13176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 50b168e?\nAnswer: 50b1691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t + 4*z + 898840 = 8*t, 0 = -4*t + 5*z - 898840. Round t to the nearest 10000.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3258689327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -79, -74, -55, -16, 49?\n\"Answer: v**3 + v**2 - 5*v - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 0 + 6 + 3 + 2*o - 6. Determine r(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 197173 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 629.5701ml in litres?\nAnswer: 0.6295701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42787\/27 - 1587. What is the common denominator of 7\/((-6888)\/(-9424)) + -9 and t?\nAnswer: 1107","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 39 - 160*l + 356*l - 198*l. Give v(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40486 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2 + (sqrt(117) - (-2 + 2*sqrt(117))))*3.\nAnswer: -9*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 5*k - 1523 = 6*r, -5*r = k - 3875. Let h = r - 494. Suppose -4*l - 3*o + h = 0, -5*o - 22 = -2. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 648\/63)\/((-48)\/140)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -38. Let a = c + -12. Suppose -a*u - 4 = -67. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dia when three letters picked without replacement from {a: 2, n: 2, d: 4, i: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(45)\/(sqrt(45)\/sqrt(5))) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(700)) - -3*((1*sqrt(700))**2 + sqrt(700)).\nAnswer: 20*sqrt(7) + 2100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from scscccssscsccscc. What is prob of sequence cscs?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 728 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -1) + (-7 - -8). Suppose 0 = -u*o - p - 186, -2*p = -5*o - 0*o - 299. What is the units digit of o\/(-9) + (-14)\/(-63)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 27*b - 80 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 27, 10, -9, -30, -53?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 0 - 5) + 1 + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 1537 = -1522 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/2 - ((-138)\/(-437)*-19 - -41)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v**2 + 0 + 4*v**2 + 3 as z*v**2 + l + p*v and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -4. Suppose -3 = -5*l + 12, 3*a - 21 = n*l. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42647000 rounded to the nearest 100000?\nAnswer: -42600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11*f**2 - 50*f + 20. Let o be u(4). Let i = 26 - 24. Sort 1, i, o in descending order.\nAnswer: i, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - b, 44 + 6 = 1426*p - 1431*p - 5*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**5\/2 - 37*z**4\/2 + 285*z**3\/2 - 395*z**2\/2 - 143*z + 216 = 0.\nAnswer: -1, 1, 2, 8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (4 + (-36 - -11 - (-7 + -4))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*(-2)\/6*-3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((2*((sqrt(95)*-1 - sqrt(95)) + sqrt(95)) - sqrt(95))\/sqrt(5)*5 - (sqrt(513)\/sqrt(81))\/(sqrt(3) - sqrt(9)\/sqrt(48)))**2.\nAnswer: 367099\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/4 + 105648018*i - 11161503707328324 = 0. Calculate i.\nAnswer: 211296036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14 - 12*i**3 - 35*i + 17*i**3 + 12*i**2 + 4 - 2*i**2 + 2.\nAnswer: 5*(i - 1)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -12*u + 276. Solve 0 = u*m - 5*m - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2669 - 0.7669. What is the closest to 18\/11 in z, 1, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 6*g**2. Let c(b) = 7*b**2. Give c(u(z)).\nAnswer: 252*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 8*r - 85 = 0. Let f be -2 + (-34 - -41) + r*-1. Let k(x) = -x**3 - x**2 + x + 13. Calculate k(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-4) - -2)*(-42)\/(115 - -11).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00055874 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1780469 is divided by 1314.\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uucu when four letters picked without replacement from {n: 1, q: 7, u: 3, c: 3}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 2*q = 0. Suppose -4*k - 4*a = -k - 16, 4*a + 8 = q. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001665 rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/7 + 70447*n**3 - 1972496*n**2\/7 - 281788*n + 7890000\/7 = 0 for n.\nAnswer: -2, 2, 4, 493125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -6. Let j = 5 - g. Is j at least as big as 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13038 and 240726?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14002 + 5?\nAnswer: 14011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1816\/60 + 4\/10. Let z = i + -30. Which is the second smallest value? (a) z (b) 0 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1606061 and 9329?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2106658640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60363.441 - -60317. Round f to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 2 - 3*s - 24*s + 6. Is 2 a factor of p(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 = 2*b - 2*t, -2 = -2*b + 2*t. Suppose 0 = 2*f + b*f. Solve 2 = -y - f for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3198484817 - -0.007?\nAnswer: -3198484816.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6 - 2. Suppose -2*g - 4*c + 16 = -0*c, 4*g = -h*c + 24. Let d(x) = 19*x - 1. What is the least common multiple of d(1) and g?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 1 + 1. Suppose 52*i = 46*i + 11412. Let c(u) = -3792*u + 1914*u + i*u. Determine c(b(l)).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 273 + -273.000326. Round r to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -0.3, 0.5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -15 - 24\/(-72)*(-9)\/6*0\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-10))\/((-8)\/(128\/8)*29)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 96552 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*o - 25 = n, 2*o + 17 = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560 - 5 = -5*c. Let p be 2 - (1 + -1) - c. Suppose -m + p = 5*v, -5*m + 0*m = -2*v + 29. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 11 = 3*q, 0 = 4*q - 5*n - 0*n - 22. Solve q*c = -2 + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-296)\/48 + 1\/6. Let t(p) = p**3 + 5*p**2 - 7*p - 4. Let f be t(i). Find l, given that l**4 + 92*l**5 + l**4 + 2*l**3 - 2*l**f - 94*l**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -141827870*a**6 - 2132*a**2 + 1712*a - 8 wrt a.\nAnswer: -17019344400*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 7623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -135, -5, -9, -50, -32, 4.\nAnswer: -135, -50, -32, -9, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263225941?\nAnswer: 11, 283, 7687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8674 - -8675.6741. Let k = -67 - -65.34. Let q = k + r. Round q to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 3:41 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z + 3*z + 0*z)*(-z**4 + 2*z**4 + z**4) + 760*z**5 + 668*z**5 - 20*z - 1230*z**5.\nAnswer: 194*z**5 - 20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v - 125 = 280. Let x(s) = -s**3 - 24*s**2 + 63*s + 40. What is the units digit of x(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 3, 1, -11, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134997*z**5 - 18899586*z**4 - 57507882*z**3 - 57776160*z**2 - 19302003*z + 858 = 0 for z.\nAnswer: -1, 2\/44999, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43 by -8815532.\nAnswer: 43\/8815532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 54 (c) 3\/5 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 290 (base 10) in base 7?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-20)*5\/2. Let k be -15 - (w - -2) - -1. Let j = k - -9. What is j rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 53.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 17*s + 30. Let c be y(-11). Suppose -i = -5*d - 30, d - c = -5*i - 2*d. Suppose -4*f - m = -4*m - 60, 4*f + 2*m - i = 0. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d**2 + 47*d - 246. Let h be r(8). Suppose -3 - 8\/5*x - 1\/5*x**h = 0. Calculate x.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -13*w + 5. Let q be o(0). Solve 4*r = q*v - 22, 6*r = 2*r + 4*v - 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xxxxxnxxxxxxxxxxxxnx.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzrrmrmzczzzmzhrczmz. Give prob of picking 1 m, 1 c, and 1 z.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/691 (b) 5 (c) 0.0579\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000100100100 (base 2) in base 16?\nAnswer: 5124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -487 + 469 = 3*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 - 11*p**2 - 41*p**2.\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -5\/3*i**3 + 15\/2*i**2 + 50*i - 23. Determine s so that t(s) = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -10 - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 240\/(-84)*-7*(-4)\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {e: 3, x: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8648 is divided by 256.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 11:18 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/67, 0.07, 2, 6 in ascending order.\nAnswer: -2\/67, 0.07, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2114 is divided by 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -60799\/4 or -15200?\nAnswer: -60799\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 4190329.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 6*p + 5\/6*p**3 + 0*p**2 + 1. Let o(z) be the first derivative of d(z). Determine o(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(684)*-2 + 2)**2.\nAnswer: -16440 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -380, -761, -1142, -1523?\n\"Answer: -381*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 9*h + 3876. Let g = h - 644. What is the smallest common multiple of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12551450 + 0?\nAnswer: -12551450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -1446?\nAnswer: 1450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 6*f + 9. Let d be r(5). Solve d*n = 2*q + n + 1, 3*q - 3 = 3*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.062957 + 212.098957. Let d = -212 + f. Round d to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4, -2351\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2115284 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -211016.4?\nAnswer: 211014.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(2\/5))**7\/((k*k*(k*k**(-3))\/k)\/(k**(4\/7)*k*k)))**(-1\/68) assuming k is positive.\nAnswer: k**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, w: 1}. What is prob of picking 1 o and 1 w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 531739.2 minutes to hours.\nAnswer: 8862.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**4\/12 - 2*o**3\/3 + 3*o**2\/2 + 24*o. Give l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + 1254\/(-30) + 22.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7\/540 + 51349\/3780. Let g be 183\/(-63) + -2 - -2. Let i = g + b. Find the common denominator of -7\/3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l. Let g be y(-5). Suppose 4*n = 7*n - 6. Let i(d) = -n*d - g + 5. Let r(k) = -3*k**2. Calculate r(i(u)).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.18 + -0.18. Let l be 6\/28*4\/6. Which is the third biggest value? (a) 3 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Solve -w - a + 1 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 - 4*m. Let a(g) = -20*g**3 - g**2 + g. Let k be a(-2). Let c = k + -150. Let u(r) = -4*r**2 - 5*r. Determine c*u(x) - 5*n(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 181601555 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: b\"What is the dth term of -1900524, -1900529, -1900534, -1900539?\n\"Answer: -5*d - 1900519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-2\/7)*i*i)\/i)\/i*i**(-5)*i*i**(6\/11)\/i*i**6)\/((i*(i*i**(-14))\/i)\/(i*i**(-2\/7)))**(-6\/13) assuming i is positive.\nAnswer: i**(-439\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-2\/3)*a))**(-45)*a*a\/(a*a\/((a**(-8)\/a)\/a))*a*a*a\/((a*((a\/(a\/((a**9\/a)\/a)))\/a)\/a*a)\/a) assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 58*s**2 - 9*s - 494. Give h(-58).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - -16 - -13 - (0 + 11).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -x - 5*k + 1, -4*k = -3*x - 3. Let n be (155\/(-25) + 6)\/((-3)\/60). Put 10, x, n in decreasing order.\nAnswer: 10, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (11 - -7 - -9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2 + 4*f. Let x(t) = 7*t**2 + 3*t - 1. Let y(k) = -6*v(k) + 5*x(k). Give y(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 10*v**2 - 59*v - 154. Let s be w(-2). Sort -0.01, s, 39\/7.\nAnswer: -0.01, 39\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 211*y**2. Suppose 4*h = -n - 7, 4*n - 1 + 13 = 0. Let q(p) = 10*p - 2. Let u(f) = 4*f - 1. Let z(v) = h*q(v) + 2*u(v). Calculate z(s(w)).\nAnswer: -422*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1079 + 15*k**2 + 1079 in the form x + t*k + c*k**2 and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -542, -1055, -1556, -2039, -2498, -2927, -3320, -3671?\nAnswer: -3974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0249780043 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8.2 and 423905?\nAnswer: -3476021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 574, 1155, 1736?\n\"Answer: 581*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + (-7 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l**4 - 210582096*l**3 + 346443952299842*l**2 - 173221936665780*l + 21652740438050 = 0.\nAnswer: 1\/4, 3290345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -688719 + 688718 + 2*x - 2*x - 2179*x**2 to q + l*x + p*x**2 and give p.\nAnswer: -2179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -46325562 (base 7) to base 10\nAnswer: -4057293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16472 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -583*t**4 + 14 - 36 + 24*t**4 + 21 + 7*t**2 - 6*t**2 as y*t**2 + g + p*t + c*t**3 + u*t**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 276, 10\/23151, 3?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1002*a**5\/7 + 42075*a**4\/7 - 585546*a**3\/7 - 36828*a**2\/7 + 584544*a\/7 - 5247\/7 = 0. What is a?\nAnswer: -53, -1, 3\/334, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 34434*h + 23036338. Determine y(-669).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 6*p**2 + 2*p + 1. Let c be (-48)\/20 - 4\/(-10). Let w be c\/2 - 0\/1. Give r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(1584)*-3 + sqrt(1584) + -4 + (-2 + sqrt(275))**2.\nAnswer: -80*sqrt(11) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 12:23 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 s, and 1 y when four letters picked without replacement from cckwsyc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 16*o**2 + 1418*o - 367. Calculate u(-89).\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18083\/2 - -244174\/27. Find the common denominator of j and 3\/25.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 10. Let y be a(4). Let d be 2\/(-7) + (-46)\/y. Suppose 3*v + d*g - 219 = 0, 3*v - 71 - 148 = 4*g. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8105433 divided by 3\nAnswer: -2701811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3))**4\/(y*(y**(4\/7)*y)\/y*y**(-1)) assuming y is positive.\nAnswer: y**(44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 335, 699, 1167, 1715, 2319?\nAnswer: 2955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -2\/519, 5, 1\/3, -0.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 7*m**2 + 9*m - 6. Let a be i(6). Let h be (-4)\/(a\/(-15)) + -2. Calculate the remainder when 0 - (114\/h)\/(-2) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + sqrt(252)\/sqrt(4) + 5.\nAnswer: 3*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 124525 + -5?\nAnswer: 124520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a gram in milligrams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*f - 3*t + 22, -5*t = 3*f - 23. Let r(l) = 7*l - 4. Let n be r(f). Suppose 5*u - 4*u - n = 0. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, -1\/6, -43, -0.5, -2\/5, -3, 17\/2?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -250 + 45*i + 497 - 247. Let l(b) = -2*b**2. What is k(l(r))?\nAnswer: -90*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*h - 243 + 14, 2*h + 2*t - 86 = 0. Suppose -2*i = -5*i + h. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9028 and 410441?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**3 - 161*d**2 - 2721*d + 1362. Calculate x(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v - 5. Suppose 2*l - 5 = -x, 0 = 4*l - 5*x - 10 - 35. Suppose 0 = -l*m + 29 - 49. Calculate o(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (41 + -1)*(-17)\/(-34). What is the tens digit of 2\/(y\/(-115))*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 11:15 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from rttttttitittfbtt?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 2*b**2 + (2 - 4 + 4)*(0 - 2*b**2 + 153642*b - 153542*b + 1) to the form r*b + n + m*b**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7473.3 + 7183. Let c = 277 + o. Let t = -9.3 - c. Put 2\/11, 1.3, -0.3, t in decreasing order.\nAnswer: t, 1.3, 2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**2 + 6691 - 140*q + 701*q - 5768 with respect to q.\nAnswer: 6*q + 561","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1002 and 144?\nAnswer: 24048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 3\/(-1) + -172. Let w = n - -409. Suppose 5*g + 5*u = w, -4*u - u + 100 = 2*g. Calculate the greatest common divisor of g and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 7, -4 in descending order.\nAnswer: 7, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*m - 112, 4*w + 3*m = 69 + 39. Let -12*c**5 - 34*c**2 + w*c**3 + 4*c**2 + 8 + 15*c**4 - 4 - 12*c + 11 = 0. What is c?\nAnswer: -1, 1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 6:58 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2234 = 5*s, -6*w - s = -8*w - 4512. List the prime factors of (w\/(-21) - 2) + (-1)\/3.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 449\/16 (b) 0 (c) -4\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 4*y - 3*y)*(6*y - y**2 - y - 2*y) + 4*y**3 - 2*y**3 - 4*y**3.\nAnswer: 3*y**3 - 15*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42620*r**3 - 12565*r**3 - 117621*r**3 - 84622*r**3.\nAnswer: -172188*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624829, -1249634, -1874439, -2499244?\nAnswer: -3124049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q + 21749 - 62160. Is q a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68853*w**2 - 36391*w wrt w?\nAnswer: 137706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -1, -20, -2\/21, 3?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3494.\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w + 27 = 54 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 285\/43 (b) -3\/2 (c) -44 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 183*d**3 - 206*d**3 - 7*d**5 + 24*d**4 + 9*d**5 + 0*d**5 - 3*d**5.\nAnswer: -d**3*(d - 23)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*m - 1248 = -55*m. What are the prime factors of m?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 181192\/8184 + ((-12)\/(-62) - 0)\nAnswer: 67\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 866903403.\nAnswer: 3, 288967801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(15\/(30\/(-4))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 1136*q + 55611. Determine p(-49).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n\/(n\/n**(-4))*(n**1)**(-2\/23))\/((n**(2\/7)\/(n*n**(2\/3)*n*n*n))\/((n*n**(-5)*n*n)\/n**5)) assuming n is positive.\nAnswer: n**(-3239\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 686617 and 30105.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6896.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 429, 432, 437, 444, 453?\n\"Answer: h**2 + 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**4 + 2*y - 2*y)*(6 + 2 + 3)*(1 - 1 + 2) in the form a + r*y**2 + f*y**4 + c*y**3 + q*y and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 13 = -3*g + g, 5*g + 26 = 4*d. Suppose -3*a = d - 27. What is the remainder when 4\/(-7 + 5)*(-10 - 0) is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1528 a factor of 4201222248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -13 - (31515*2)\/(-11)?\nAnswer: 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r. Let l(n) = -7*n - 2*n + 4 + 3 + 13*n**2 + 2. Let f be (-1*(-18 + 0))\/1. Let j(u) = u - 1. Let p(v) = f*j(v) + 2*l(v). What is p(w(c))?\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - o = -4*d + 155, 4*o = -2*d + 118. Let p = o + -19. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 20, -35*x - 4*w = -40*x + 146. What is the remainder when 768 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/6, 1\/6, 1\/7, -676\/3, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 - 273524*x\/5 + 9351922322\/5.\nAnswer: 2*(x - 68381)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 857 - 2533\/3. Let n be 6\/5*(-200)\/(-60). Find the common denominator of a and n\/(-18) - (-6 - -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2687 - -2686. Sort -3, 3, l, 15, 0 in decreasing order.\nAnswer: 15, 3, 0, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y\/(y\/y**(4\/11)*y))\/y)*y*y)**(-2\/111)\/(y\/(y**3\/y))**(-28) assuming y is positive.\nAnswer: y**(-11430\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**6\/540 - d**5\/90 + 2*d**3\/3 - 2*d**2 - 25*d + 1. Let a(g) be the second derivative of p(g). Factor a(b).\nAnswer: 2*b*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3436000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1789906 and 184.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (460 - 912 + 470)*(-577 - 272*a + 577 + (-1 - 2 + 1)*(a - a + 2*a)).\nAnswer: -4968*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -118 - -120. Suppose 4*c - o*c - 19360 = 0. What is c rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 + -26. Suppose 0*r + 2*r = l. Solve r*n = 2*n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, f: 1, a: 2, z: 1, n: 1, j: 1}. Give prob of sequence ja.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 388\/14695 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p - 4*i = -35*p + 22, -2*p - 2*i = 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, p: 3, q: 3}. Give prob of picking 1 j, 1 p, and 2 q.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-27)\/(-18))\/((-3)\/(-10)). Suppose -3*s + m = -25. What is the remainder when (180\/50)\/(4\/s) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/3 and 34\/14997.\nAnswer: 14997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ipue when four letters picked without replacement from mpumiupempu?\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30147 or -30148?\nAnswer: -30147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, u: 1, q: 1, i: 4, k: 1, r: 1}. Give prob of sequence kri.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.9361157\nAnswer: 0.9361157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 175.71204 months?\nAnswer: 14.64267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1680)\/25)\/(-28))\/(37\/(-20) + 2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*s - k, -4*k + 4 + 17 = s. Suppose s*h + 1 = -2*m, -3*m + 10 = -h - 3*h. Is (-3)\/(-6) - (-61)\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3957 a factor of 4356573903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13302 - -19414?\nAnswer: 6112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -438 - -437. What is the nearest to u in -61, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -351 - -1189. List the prime factors of l.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88683917 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.128 and 20712.\nAnswer: -2651.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*r - x, -116*x = 2*r - 113*x - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3.98. Let i = -0.08 - n. Which is the closest to -1\/3? (a) 5 (b) i (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -36*s**4 + 60*s**3 + 15*s**2 - 60*s + 21 = 0.\nAnswer: -1, 1\/2, 1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -24796352 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + (-28 - -52 - (5 - (-8 - (4 - 5)))).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60.33 - -60.43. Let q = -89\/2 - -45. Sort k, 18, 5, q in decreasing order.\nAnswer: 18, 5, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20221 - -121?\nAnswer: -20100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 9*o - 22. Let q = -7 - -8. Let c be 57\/63 - 1\/3. What is the closest to q in c, -3, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1313\/2838 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - t + 2. Let v(l) be the first derivative of -l**3\/3 - 27*l**2\/2 - 75*l + 2. Let i be v(-24). What is g(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1487, 1409, 1331, 1253, 1175, 1097?\nAnswer: 1019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2846703*q - 4853 with respect to q.\nAnswer: -2846703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpb when three letters picked without replacement from qssqudpsdpspssb?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -15*r**2 - 191*r + 3. Let o(c) = 19*c**2 + 253*c - 4. What is 10*o(d) + 13*p(d)?\nAnswer: -5*d**2 + 47*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.948399 and -259.\nAnswer: 245.635341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(9)\/sqrt(3)))\/(-1*sqrt(9)\/sqrt(3)) + (-2*sqrt(300))\/sqrt(6) + (sqrt(90)\/sqrt(5) - sqrt(2)) + (sqrt(200) + 1)**2 + sqrt(2).\nAnswer: 11*sqrt(2) + 201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -12, -0.5, 61, 4935?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11830398 is divided by 834.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 667415 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -19*s**3 - 10*s**3 - 2*s + 38*s**3 - 7*s**2 = 0.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-2)\/(-4)*(-170)\/(-125)*1.\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46601970 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 - (-4 + -7 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35\/9, -21, -1.\nAnswer: -21, -1, 35\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*n - 66*n = -6. Suppose 3*v - n = 1, -3*v = -2*m + 473. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9813961*3.4\nAnswer: -3.33674674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (387\/(-54) - -4)*-42 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*p + 10 = -2*n + 54*p - 29*p, -n + 4 = -3*p - 1 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -166.04 + 0.04. Let d = 165.909 + j. Round d to 2 dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*o - 5*o - o + (2*o + 1 - 1)*(4 - 1 - 1))*(-o - 3*o + 2*o) in the form k*o**2 + c*o + u and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37772164 is divided by 67692?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - 6)\/130 - 7\/30. Put 4\/3, -0.21, l in descending order.\nAnswer: 4\/3, -0.21, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 4*k = -94, 2*k = 3*p - 103595 + 103640 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + -16 + -3 - ((1 - 2) + 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 1, 0, -5, -1, 4.\nAnswer: -5, -1, 0, 1, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44302 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: Let p(g) = -g**3 + 34*g**2 + 51*g - 96. Is 58 a factor of p(35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -b**4\/4 - 14*b**3\/3 + 8*b**2 + 18*b - 143. Let i be -12 - 2 - (4 - 3). Let j be l(i). Solve 5*s = j*s - 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h + 1\/2*h**2 + 0 - h**3. What is p(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -4*2\/(-6)*(-169299)\/(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -100*d**4 - 13760*d**3 + 33516*d**2 - 11752*d + 1120 = 0.\nAnswer: -140, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101102212121 + 10?\nAnswer: 101102212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**4\/4 - 597*c**3\/2 - 216846*c**2 - 865587*c\/2 - 864987\/4 = 0. What is c?\nAnswer: -373, -1, 773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 + -182\/9. Let w(l) = -l**2 + 8*l + 2. Let j be w(7). Is v greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(275)*2 + sqrt(275))**2.\nAnswer: 4950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 5*g**2 - 6*g. Let s be f(-4). Let a be (-5 + -1)\/((-6)\/s). Suppose 4*x + a - 24 = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 2*s**2 - 6*s - 6. Suppose -2*u + 9 = -3*u - 5*y, 5*u + 5*y + 25 = 0. Find the common denominator of -2 - u - 1\/(-9) and w(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 651*(-7)\/21*(-2 - -3). Let d = g - -221. Let m be (3 - 5) + 1 + 4. Solve 5*h = d*h - m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 13. Let y be o(-8). Solve -3*r - 5*i = -y*i - 10, -r - 2*i = -2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 731641 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: Express -8042 + 7975 + 18*p + 19*p - 6*p in the form t*p + q and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4851 + -2594. What are the prime factors of n?\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8835 and 228?\nAnswer: 35340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -1 - -12) + -13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 2*o, 38*y - 4 = 37*y + 3*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 8) to base 9.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16103718, 16103805, 16103890, 16103973, 16104054, 16104133?\n\"Answer: -f**2 + 90*f + 16103629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idd when three letters picked without replacement from ddaagiddp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 210*l**2 + 455*l - 660.\nAnswer: -5*(l - 44)*(l - 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -7*u + 10 + 5 - u**2 - 8 + 3. Let j be d(-9). Let o = 5 + j. Which is smaller: -4 or o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z + 2. Let p(h) = h**2 + 5*h - 3. Give -3*g(r) - 2*p(r).\nAnswer: -2*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 - -1) - (-11 + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-5) + (-39)\/(-15). Let h = -1991 + 2001. Solve -5*u + 0*u + h = 3*k, -4 = -2*u + i*k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (88\/(-10))\/(-11) + (-3534)\/(-95). Solve 18*y + 160 = t*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Let d = g - 5. Let x = -26\/5 + 57\/10. What is the smallest value in d, x, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 - 2 + 2 + (i**2 + 4*i**2 - 2*i**2)*(2 + 0 + i**2 - 2*i**2) to b*i + t + x*i**4 + a*i**2 + f*i**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.75 - 0.75. What is the closest to -2\/7 in g, 1, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*h - 5686*h**2 + 80*h + 6014*h**2 - h**3 in the form q*h + x*h**3 + l + g*h**2 and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*i - 67*i = 280. Let o(h) = h**2 - 3*h - 2. Let k be o(4). Suppose 0 = 4*p - k*p - 6. Solve -6*w - 4*f = -w + 21, -5*w - i = -p*f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.06 - -2.06. Suppose 0 = -5*h - 20 - 5. What is the closest to k in 2\/7, 4\/5, h?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 22*b**2 + 3*b + 11. Let y be k(-2). Is 3 a factor of 109\/4 + -8 + y\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(96)\/(-1*sqrt(8))).\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26015463 by -549.\nAnswer: 47387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (33\/9 - 4)*3. Let t(j) = 8*j. Let r(w) = -143*w. Let g(a) = 3*r(a) + 55*t(a). What is g(p)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate u**2*w**2 + 12335*u**2 + 14*u - 29126*w**2 + 4*w wrt w.\nAnswer: 2*u**2*w - 58252*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4627 a factor of 773164455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*m = -4448, 0 = -111*z + 112*z - 2*m - 4440. Suppose -4*j + 2*s + 1231 = -3189, -4*j - s = -z. What is the thousands digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/233625 and 29\/5607.\nAnswer: 700875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*v**2 - 66*v**2 + 33*v**2 - 13*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 713250 and 450?\nAnswer: 713250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 302033303121?\nAnswer: 302033303122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3, -29, -49, -63, -71, -73?\n\"Answer: 3*f**2 - 35*f + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - r - 6. Let l be b(3). Solve -9 = 3*z - 2*a - 0*a, l = -z + 4*a - 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-368)\/(-12) + 1\/3.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 3*i**3 + 0*i**3 + i**3 + 0*i**3 - 3*i**3 + (2*i**3 + 2*i - 2*i)*(2 - 2 + 2) + 161*i**3 + 97*i**3 - 40*i**3.\nAnswer: 221*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 3*d = -15*x - 20, 0 = x + 2*d - 4. Let s = -3 + 2. Put 3, 0, x, s in ascending order.\nAnswer: x, s, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 53*q - 734. Let v be l(14). Let a be (-1)\/(-3) - 7\/3. Let z be (-16)\/(-6)*(-6)\/4. Put a, z, v in decreasing order.\nAnswer: v, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 divided by 45.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 41*l**4 - 24*l**3 + 2*l**2 + 79*l**3 - 27*l**3 + 3*l - 23*l**3 + 2 - 50*l**4 as g*l**3 + d*l**4 + z*l**2 + q + j*l and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 1261 = 4*k, -5*k + 9*k = 4*d + 1276. What is the remainder when k is divided by 80?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k + 16. What is c(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 197 - -2 - (-21 - -1)\/4. Let h = q - 177. Let c = 36 + -9. Calculate the least common multiple of c and h.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 3*v**2 - 30*v + 58. Determine z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 302989909\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**2 + 4*l + 0 + 13 - 15 to q + a*l + y*l**2 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (8 - (20 + -7))*(-1767)\/(-95).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 13*n**4\/24 - 15*n**3\/2 - 95*n**2. Calculate the least common multiple of 37 and r(4).\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 1:02 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*y + 3*y + 2*y**3 + 148*y**5 - 6*y - 1227 - 2*y wrt y?\nAnswer: 2960*y**3 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1264868 and 173\/4484532?\nAnswer: 49329852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28411363757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 86331, 86309, 86287, 86265, 86243, 86221?\n\"Answer: -22*s + 86353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*q = -1246 - 1544. Solve 2*b + 7*b + q = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4029*l + 4068*l + 780 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 8708*u - 43440.\nAnswer: -4*(u + 5)*(u + 2172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 8:16 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12671544078979 and 2.\nAnswer: 12671544078981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h + h + 4*h + 120 - 5*h - 2*h. Let z be y(12). Solve -5*c - 5 = -5*f, z = -5*f + c + 13 - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14, -19, -20, -17, -10, 1?\n\"Answer: 2*m**2 - 11*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 3. Let y = -204.7 + 186.7. Which is the smallest value? (a) y (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 986626154 to the nearest integer?\nAnswer: 31411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(9\/2)*q*q\/(q**(-1\/22)\/q)*q*(q*q**(-23))\/((q*(q**(-5\/3)*q)\/q)\/q) assuming q is positive.\nAnswer: q**(-389\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -513\/4 - -129. Let k = 8 + -8.3. Which is the nearest to 1? (a) d (b) -3\/4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -15*a + 6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2800) - sqrt(63)\/((1*sqrt(108))\/sqrt(12)).\nAnswer: -21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 29. Let o be b + (-9)\/6*-2. Suppose w - o - 29 = 0. Calculate the remainder when 139 is divided by w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iyvuyi. Give prob of sequence vu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4228, -4552, -5100, -5878, -6892, -8148, -9652, -11410?\nAnswer: -13428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h + 44. Let i = -11 - h. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 514*w**2 - 31*w - 4. Is q(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - p**2)*(-2*p - 2*p + 2*p) - 130*p + 130*p - 13*p**3 + (16*p + 0 + 0)*(-2*p**2 + 5*p**2 + 2*p**2) to m*p**2 + u*p**3 + c + k*p and give u.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 7, x: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2294193490 and -14.\nAnswer: 2294193476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 15?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1521627305?\nAnswer: 5, 11, 27665951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 542750274 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 2. Let u(s) = 1. Determine -r(f) - 4*u(f).\nAnswer: 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1443 and 191475.\nAnswer: 2489175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78790 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*k = 41 - 47, -3*k + 6 = u. Solve u = 4*a - 4*f - 24, -3*f - 7 = -a + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46161?\nAnswer: 3, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 251986*q**2\/5 - 100894*q + 996\/5.\nAnswer: 2*(q - 2)*(125993*q - 249)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 6. Solve -5*m = -4*k, -3*m = -b*k - m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2558a - 2?\nAnswer: -25590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 49 = -45. Suppose 0 = -0*z + v*z - z. Suppose 4*a = 3*s + 14, -5*a + 0*s + 4*s + 18 = 0. Solve a*b - 2 = 2*x - 6, z = 4*x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015442 to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 6*t + 4. Let s(l) = l**2 + l. Let m(x) = a(x) - 2*s(x). Let f(v) = -9*v**2 + 7*v + 7. What is -4*f(k) + 7*m(k)?\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23 - -13. Let p = -14.9 - i. Let q = 0.1 - p. Sort -3, q, 3.\nAnswer: -3, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66? (a) 1\/2429 (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 85\/((-2)\/20*1*2). Let r = n - -616. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjaajaajpaaapp. Give prob of picking 1 j and 1 a.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2527 - 33547 = -20*s. What is the remainder when s is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**3\/3 + 5*m**2 + 6*m - 5262. Determine h(-7).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*-2*sqrt(105) + sqrt(105) + sqrt(105))\/(sqrt(35)\/sqrt(112)))\/(sqrt(336)\/(sqrt(60)\/sqrt(5)*5)))**2.\nAnswer: 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 110688 and -499.\nAnswer: -55233312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 167361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 + 2*l**2 - 2*l**3)*(9 + 0 + 0) to the form v + b*l**3 + p*l + j*l**2 and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdwd when four letters picked without replacement from {k: 1, d: 2, w: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -a, 140*m - 2*a = 135*m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 95, 1396, 3541, 6512, 10291, 14860?\n\"Answer: -3*c**3 + 440*c**2 + 2*c - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 0 - 606\/261. Let y = 3794\/435 + h. Calculate the common denominator of 3\/10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 - 15*t - 10 = 0 for t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1458.63806 less than -0.4?\nAnswer: 1458.23806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**2 + 2*x**2 + 2*x**2 + (2 - 2*x - 2)*(2*x - 8*x + x) + 5*x**2 - 4*x + 5*x - 3*x.\nAnswer: 14*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 88*a - 93*a + 0*a. Let k(i) = -10*i**2 + 11. Determine c(k(y)).\nAnswer: 50*y**2 - 55","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 1\/2, -0.36, -1\/4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 w when three letters picked without replacement from wnununzwunnwnuw.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 11:16 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 90*h**4 + 7*h**3 + 7*h**2 - 149. Let u(n) = 30*n**4 + 2*n**3 + 2*n**2 - 50. Let o(l) = -2*k(l) + 7*u(l). Differentiate o(g) with respect to g.\nAnswer: 120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 1. Let s be m(-3). Let h(o) = o. Let q(x) = 3*x**2 + 4*x. Give s*h(k) - q(k).\nAnswer: -3*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 381*g - 135*g - 89*g - 81*g - 79*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 28. Suppose -3*j - 2 = -x. Solve 4*a + 3 = -l, 0 = -j*l + 4*a - 0*a - 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a year in months?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-23)*(-8)\/(-28)*-7.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -358426*a*w**2 - 1448602*a*w wrt w.\nAnswer: -716852*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 a when two letters picked without replacement from {n: 3, a: 1, q: 1, s: 1, u: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-18)\/(-60)))\/6\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3\/490 - 2833\/1470. What is the common denominator of 85\/12 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.598 - -0.9241. Let y = -0.0739 - r. Which is the third biggest value? (a) y (b) 27 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.98736324 rounded to 3 dps?\nAnswer: -31.987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7035.195um to nanometers.\nAnswer: 7035195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - (5 + sqrt(19) + 1 + sqrt(19)))*2.\nAnswer: -12 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2527559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 2*z + 2*z)*(2*z + 2*z + 3*z).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 30*m**3 + 5*m**2 - 6*m + 5. Is c(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 10 = -2*u + 4, -6 = -2*v - 2*u. Solve -v*y = -2*f - 14, -8 = 4*y - 8*y - f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 2)*(0 + 6*w + 0)*(-3 + 6 - 4)*(-223*w**2 - 4 + 4 + 42*w**2) as i*w**3 + x*w**2 + o*w + f and give i.\nAnswer: -4344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -1\/5, 1 in descending order.\nAnswer: 1, -1\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5900 + -5898. What is the second smallest value in -9, 24, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k + 4. Let q be y(2). Solve -1\/2 - 1\/2*i**q + i = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -189 (b) -2\/3 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + k**3 + 0*k**2 + 2*k - 2*k**2. Let o = -3 + 6. Suppose -3 = -o*q - 0. Give x(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 6*k**3 - 14708*k**2 - 64*k. Let j(n) = n**3 - 2942*n**2 - 12*n. Give -16*j(r) + 3*m(r).\nAnswer: 2*r**3 + 2948*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (160\/2640)\/(3*(-2)\/(-9))\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m - 11. Let v(h) = h**2 + 8*h + 33. Give 8*n(i) + 3*v(i).\nAnswer: 3*i**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 63259366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 603411.9 years?\nAnswer: 603.4119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**5 + 3316*h**4 + 16680*h**3 = 0. Calculate h.\nAnswer: -5, 0, 834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -1, -229, 4, 0.2?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 5\/12, -4\/5, 3\/5.\nAnswer: -1, -4\/5, 5\/12, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 307, 0, -6?\nAnswer: 307","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4938 = 5*a, 3*y + 2*a - 2468 = y. Calculate the lowest common multiple of y and 4.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**5 + 0*r**5 - 2*r**5)*(-318 + 103 - 233 - 258).\nAnswer: 2824*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*b**2 - 11*b + 1 + 57*b**2 - 54*b**2 + (2*b - 2*b - 2*b)*(0 + 0 + 2*b) + b**2 - b**2 - b**2 to x + d*b**2 + j*b and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*w + 2*w + 402, -w = j - 403. What is the derivative of 9 + 6 - w*c + 3*c**2 + 397*c wrt c?\nAnswer: 6*c - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**9*(((g\/g**(-2\/7))\/g)\/g*g)\/g)\/((g\/((g*g**(2\/33))\/g))\/(g*g\/(g*(g*g**2\/g)\/g))))**(-33))**(-1\/4) assuming g is positive.\nAnswer: g**(1697\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*q - 14, 3*q - 3*b = q + 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a04 (base 13) to base 2.\nAnswer: -11010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Let m = r + -2.5. Let h = -0.13 + 0.33. What is the second biggest value in m, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*1*(-14)\/112)\/(2\/(-32))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 times 611?\nAnswer: 219.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 10:50 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20648591?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 78 - 42. What is the highest common divisor of 16 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.144 - -0.074. Which is the nearest to -2\/5? (a) v (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120 + -121020022000?\nAnswer: -121020110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**3 + 3 - 1 - 8*f**3)*(74*f + 173*f - 164*f).\nAnswer: -581*f**4 + 166*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 13*n + 5280000. What is n rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - 6 - (-61 + 1 - (-86 - -91) - -9).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 8*p**3 - 9*p**2 - 2*p + 2. Let c be k(-7). Let r = -19121\/6 - c. What is the common denominator of r and -71\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114030 - -4036?\nAnswer: -107772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -5*i**3 + i**2\/2 - 7*i. Let z be m(-2). Let t = z + -20. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -264645 divided by 88215\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 120, 263, 464, 723?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (9 - (-6 + (-41 - -2))) - 14?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/((-17442)\/380 + 46)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - v = 2*v - 21, 0 = 2*v - 10. Let j(n) = 3*n**2 + o + 10 + 4*n - 5 - 2*n**2. What are the prime factors of j(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17025945 to the power of 1\/3, to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/6*(2 - 10). Let s(w) = -122*w + 50. Let r(t) = -96*t + 39. Let m(o) = -14*r(o) + 11*s(o). Let a(l) = 2*l + 5. Determine v*m(j) - 3*a(j).\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2533 and 6407.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0 - 1\/24*v**4 + 2*v**2 + 0*v**3 + 0*v. Let b = -5 + 3. Let h(q) = -10*q. Determine b*h(o) + 22*y(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, s: 6, k: 3, d: 2}. What is prob of picking 1 s and 1 k?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -67*j**2 - j + 1. Give y(1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1843 and 1164.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3*b**2 - 3*b**2 + 2*b**2 - 5*b - b**3 - 4. Let v(h) = -h**2 - 4*h + 2. Let p be v(-4). Let u be (-1 + p)\/(1\/(-3)). Determine k(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**2 - 3*i**2 + 1 - 2 + 2*i**2 - 2*i**2 + 2*i**2 + 2*i**2 - 3*i**2 - i**2 + (0 + 1 - 2)*(3*i**2 - 3 + 3).\nAnswer: -5*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -1066?\nAnswer: -1066.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12908 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/3 - 92*b**4\/3 + 298*b**3\/3 + 4712*b**2\/3 - 1640*b = 0.\nAnswer: -6, 0, 1, 10, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -1 - (-5 + 23)) + 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p. Let d(g) = -11627339*g**2. Determine d(b(y)).\nAnswer: -290683475*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 812096951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x + 4*i - i, -5*x = i - 19. Let p be x\/((0 - -1)*2). Let v = 728 + -728. What is the closest to v in 0.5, 1\/8, p?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from {e: 5, n: 5}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 6:11 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hcffffffffhhh. Give prob of sequence ch.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 10*t**2 - 7*t. Let r(l) = 7*l**2 - 5*l. Let i(c) = -7*r(c) + 5*w(c). Let f(b) = b**2 + 2 - 2. What is i(f(n))?\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 497892786?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -148 divided by 7488916?\nAnswer: -37\/1872229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 47*j**2 + 36*j**2 - 3*j**2 - 14*j**2.\nAnswer: 66*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1191 is divided by 576?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 661.5.\nAnswer: 3307.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - u - 1 = 0, 0 = -u - 0 - 1. Let x be (3\/(171\/6))\/(-2). Is x < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*x + 142 + 324 = -14 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88 - 29 - 29 + 8*z - 19*z - 27.\nAnswer: -11*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khw when three letters picked without replacement from dpmpkkhw?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(4*r + 0*r - 2*r) + 10*r + 2*r - 1408 - 14*r + 0*r.\nAnswer: 2*r - 1408","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from psspppgyyppp. What is prob of sequence ygs?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t + 15 = -4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u**3 + u**2 - 2*u + 1. Let i be j(1). Let l(z) = 8*z**2 - 3 - 7*z**2 + i. Determine l(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9156*0.5.\nAnswer: -4578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/3 and -127\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 11:28 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3544.184ng to grams.\nAnswer: 0.000003544184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 2*j**2 - j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -633208 divided by -307\nAnswer: 633208\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -710750\/39 + 18226. Find the common denominator of 4 - 867\/234 - -1 and n.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11407*q + 11581*q - 348 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.654182 + -6047.19?\nAnswer: -6046.535818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162 - -192. What is the lowest common multiple of r and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (2 - 5) - ((17 - 50) + 16 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/5)\/6)\/((-1)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 4*f - 3*f)*(0*f**2 + 19*f**2 - 6*f**2 + (-7*f - 6*f + 4*f)*(-2*f - 3*f + 4*f)).\nAnswer: 22*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 111704 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*v + 6510 = -38*v. Does 45 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -73*u**2 - 29*u + 20. Let o(z) = -25*z**2 - 10*z + 7. Determine 4*d(n) - 11*o(n).\nAnswer: -17*n**2 - 6*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 529, -4\/721, -0.2 in decreasing order.\nAnswer: 529, -4\/721, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 15 = -3*b, -5*r - 3*b - 15 = 0. Is 17 + 3 + (-1 - r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87812190 rounded to the nearest one million?\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 107 = 1332*r - 1318*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((2\/(-1))\/(-6)). Suppose c*a = 27 + 18. Suppose -5*z = -a, 32 = 5*b - 3*b + 4*z. What is the highest common divisor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8*i + 10. Let d = -13 - i. Let m = d - -19. Solve -3*x + m = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10211 (base 3) in base 10?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1413cd6 + 0?\nAnswer: 1413cd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and -115111608?\nAnswer: 115111608.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -400458961 divided by 400458961?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 204\/765*2*5\/6?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**2*p*t + 1612*l**2*t - 23*l**2 - 132*l*p wrt t?\nAnswer: -l**2*p + 1612*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-21))\/(2\/(-12)). Differentiate 3*b - 2*b + 2*b - j*b + 3 with respect to b.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1589662 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 92*h + 1156. What is b(-11)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 - 42*g - 44. Let v be w(43). Is 3\/1177 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.05284, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s + 5. Let a = -2124 + 2117. Let h(u) = 17*u + 11. What is a*v(m) + 3*h(m)?\nAnswer: -5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -357 + 2?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 - 16. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -12*m + 1. Let a(f) = -2*f. Give -6*a(c) + 2*t(c).\nAnswer: -12*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*j - 4)*(2 - 1 + 1) + 3*j - 2*j + 0*j + 4 - 4 + 6*j + (-4 + 4 + 2*j)*(-3 + 1 + 1).\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1513783 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(2\/((-16)\/(-6))) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06185 - -176.03815. What is s rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 232*u**2 + 370*u. Let l(i) = 8*i**2. Calculate s(l(h)).\nAnswer: 14848*h**4 + 2960*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.8248068 years?\nAnswer: 0.0008248068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 61852 and -3.\nAnswer: 61849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9281.402 millimeters?\nAnswer: 9.281402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/5 - 1644*h\/5 - 2331.\nAnswer: 3*(h - 555)*(h + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 378 - 380. What is the nearest to 3 in t, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*x**2 + 2 - 2*x**2 - 2*x + 2*x + (-3*x**2 + 4*x**2 - 2*x**2)*(2 - 3 + 2))*((-3 + 1 + 1)*(12 - 1 + 7) + 1 - 1 - 1).\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 3*k + 20 = 0. Suppose 7 = 3*y - 5. What is the remainder when y\/(2*(-3)\/(-12)) is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 + (1 - -8) + -8 + 520\/(10\/2). Let -u*i - 1210*i**2 - 5\/2 = 0. Calculate i.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.9? (a) 3 (b) 53 (c) -4 (d) -3\/4 (e) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 11 = -5*g, -3*i + 7 = 2*i + g. Factor 1225*v + 3*v**i + 0*v**2 + 3 - 1231*v.\nAnswer: 3*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 21, 5 in increasing order.\nAnswer: 5, 8, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -227 - -121. List the prime factors of 3\/((-6)\/(-4)) - (u + 1).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k**3 + 0*k**2 + 2*k**3 + 0*k**2.\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4475 divided by 5\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1024, -1024, -1022, -1018, -1012, -1004, -994?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(-4) + 1\/4. Let l be (i\/3)\/(-2)*6. Suppose k = l*k - 12. Solve -k*d + 4*g + 16 = 0, -2*d - 2*g = -0*d + 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3746.3277 - -3751.52769896. Let f = c - 5.2. What is f rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of 7\/10*m**6 - 28\/3*m**3 + 1\/12*m**4 + 0*m**5 - 3*m + 14*m**2 + 0. Find the second derivative of n(w) wrt w.\nAnswer: 504*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-3))\/((-145)\/(-87)) + 2. Find the common denominator of -85\/16 and (k\/16)\/(200\/28 + -7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 9*c = -14*c - 14, 4*c + 26 = 5*y. Let q(m) = -35*m**y + 37*m**2 + m**2. Let r(a) = -2*a - 14. Give q(r(k)).\nAnswer: 12*k**2 + 168*k + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -757 + 2617*f - 1307*f - 1313*f in the form s*f + v and give v.\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*n - 263*n - 8 + 534*n - 25*n.\nAnswer: 804*n - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 19, 175.7, -1\/6, 1\/10?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 9 = 0, z - s + 3*s - 66 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**5\/12 + 25*l**4\/4 - 145*l**3\/6 + 1589*l**2. Factor g(y).\nAnswer: -5*(y - 29)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and 578533.\nAnswer: 578531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1050*h - 1416*h + 1168*h as s + j*h and give j.\nAnswer: 802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 2*p**2 + 8*p + 6. Suppose -5*u - 4 = 21. What are the prime factors of l(u)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v)\/(v\/v**27) assuming v is positive.\nAnswer: v**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -52*w + 11. Let a be z(0). Solve -6*f - 5 = -a*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 328, 453, 646, 895, 1188, 1513, 1858, 2211?\n\"Answer: -2*s**3 + 46*s**2 + s + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (7 + -9 - (-7 - (0 - -2)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-9) - (-12)\/9. Calculate the smallest common multiple of 12 and (-4 + k)*1 + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 357 - 358. Sort 2, z, 4, -7 in descending order.\nAnswer: 4, 2, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42919 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 675 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a week in minutes?\nAnswer: 42840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**39)**(-2\/51) assuming o is positive.\nAnswer: o**(-80\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -538, -853, -1168?\n\"Answer: -315*h - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -10 + 4*c - 4*c - 4*c - 10*c. Let g be b(-4). Let l = g + 87. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - 8*x**2 - 5*x + 13. Give i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*k + 24 = -22*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 2*v**2 + 12*v + 21. Suppose -1765 = -28*o - 1821. Calculate i(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 8.3. Which is the closest to 0? (a) l (b) -2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 7*i**2 + 12*i + 15. Let u be g(-8). Let a = 22 + u. Calculate the highest common factor of a and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6))**(-8)\/(s**22\/(s*(s\/(s*s\/((s**(-19)\/s)\/s)))\/s)) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5132, 4350, 3062, 1262, -1056, -3898, -7270?\nAnswer: -11178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 288539, 288541, 288545, 288551, 288559?\nAnswer: 288569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33028834145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 319 and 231?\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41055 + 1?\nAnswer: 41056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4.8. Let t = 0.9 - j. Let m = -32.9 - -32.9. Which is the closest to -1\/2? (a) -1\/7 (b) m (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 30*q**2 + 37*q - 329. Does 71 divide t(30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 373398590 to the nearest integer?\nAnswer: 19324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6430*p - 8533. Calculate r(-2).\nAnswer: 4327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 2:36 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12076 + -12075. Which is the nearest to f? (a) -3\/4 (b) -3 (c) 17 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62388*h - 62305*h + 1826 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 415409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r - 119*r = 1824 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddq when three letters picked without replacement from ogqoofoqzfddqgofqqdo.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*r = 0, 0 = -0*i - 3*i + r - 4. Suppose 16 = 5*u - 99. What is the remainder when u is divided by 2\/i + 2 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 254846 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2581 * 52968\nAnswer: -136710408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17450, 33960, 49534, 64172?\n\"Answer: -468*n**2 + 17914*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2086\/9 + 10421\/45. What is the second biggest value in 0.4, 14, d, -28?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 891025 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 3 - (4 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 4*b**2 - 5*b + 3. Let x be j(-5). Suppose x*z = -3*v + 21, 4*v - 5 = 5*z - 22. Solve 2*a + m + v = 0, 3*m + 2*m + 10 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -55, -1, -4 in increasing order.\nAnswer: -55, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 10:01 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 3. Let w(u) = -10*u + 9. Let g(h) = -21*h + 19. Let j(l) = 6*g(l) - 11*w(l). Give -11*f(x) - 2*j(x).\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eth when three letters picked without replacement from dethc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7201 to two decimal places.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -7. Let x = 181 + -17. Suppose 84 + x = 8*g. Solve -4*j = -3*p - 4 - g, 4*p + d = -j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 4) + -2 - (6 + 10 + -8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17510 - -15893. Which is smaller: s or -1616?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.17367 + 0.37367. Sort 3\/8, -2, z, -0.0594 in ascending order.\nAnswer: -2, -0.0594, z, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 11, 3, 736 in descending order.\nAnswer: 736, 109, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/5 + 11*(-2760)\/2200\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 3*f + 64. Let t be 2\/(-2)*6*(-14)\/(-420)*-15. Solve t*a + a = f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 4453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 995.632l?\nAnswer: 995632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 89 - 89 - k. Let m(t) = t**2 + 2. Let r(z) = -m(z) - 2*s(z). Calculate r(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 11, -9, 4 in decreasing order.\nAnswer: 11, 4, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17368 - 17350. Calculate the least common multiple of 3726 and u.\nAnswer: 3726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 137980015 and 705.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*p = 0, -101*m + 102*m + 10 = -4*p. Which is the nearest to 1? (a) 2\/7 (b) -4 (c) m (d) 1\/186\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2402464, -4804930, -7207396, -9609862, -12012328?\nAnswer: -14414794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5511 + 6534. What is the lowest common multiple of 165 and p?\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -54.36 * -0.4\nAnswer: 21.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 24466 (base 7) to base 4\nAnswer: 1210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*h + 20 = -180*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11a66 (base 16) in base 3?\nAnswer: 10200011120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**3\/4 - 2001*m**2\/2 - 20235*m - 101550 = 0 for m.\nAnswer: -10, 1354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*m - 95*m - 78*m + 525 = 0. Let h(j) = -3*j - 1. Let d be h(-1). Calculate the highest common divisor of d and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(((-2)\/48)\/((-459)\/(-216))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20201200221 - -101120?\nAnswer: -20201022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10144763, 10145009, 10145419, 10145993, 10146731?\nAnswer: 10147633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 651, 697, 743, 789, 835, 881?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-72)\/(-6))*(-8)\/(-12)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, 118 in ascending order.\nAnswer: -9, -5, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8224 - -8258. Solve -s + 46 = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z + 2*z)*(-6*z + 2*z**2 - 10*z - 2*z).\nAnswer: 10*z**3 - 90*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.9910165 months to centuries.\nAnswer: 0.00249251375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 937*d**2*z**2 + 3*d*z**2 - 22*z**2 wrt d.\nAnswer: 1874*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -34*i + 791. Let m be h(24). Let k = 0.12 + -5.12. What is the closest to 1 in m, -4, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*y + 34*y - 77*y + 45. Solve -a + 6*a = 5*h, 0 = 4*a - 3*h - y for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79047*v**2 - 402725*v**2 - 311399*v**2.\nAnswer: -635077*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261 is divided by 43.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247624931?\nAnswer: 31, 7987901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1326\/204 + (-20)\/2. Which is greater: p or -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22181479 to the power of 1\/2, to the nearest integer?\nAnswer: 4710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 - 826 = -2*f + 1011. What is the smallest common multiple of 530 and f?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4191171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 124 - 118. Let m(q) be the first derivative of 10*q**2 + 23*q - 1. Let r(u) = -7*u - 8. What is j*m(i) + 17*r(i)?\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r + 25 = 18*r, 0 = -5*k + r + 43430. List the prime factors of k.\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 33*q**2 + 40*q - 129. Let n be j(32). Suppose -n = 5*x - 327. Round x to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40313677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 152*u**2. Let z(s) = 112*s**2. Determine z(d(p)).\nAnswer: 2587648*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 10*x**2 + x + 8. Let m be k(-10). Let z be ((-10)\/150)\/(m\/12). Let n = -0.4 + 0.1. Which is the closest to -0.1? (a) -3 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.91 + -2.09. Let m be (26 - 19) + -2 + 0. Which is the nearest to -0.2? (a) m (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1395*x. Let h(s) = 928*s. What is 7*h(q) - 5*y(q)?\nAnswer: -479*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5951098, -5951087, -5951076, -5951065, -5951054, -5951043?\nAnswer: -5951032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 11 = 17*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {e: 2, q: 2, l: 1, f: 6, s: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 17 + 17. Let i(p) = 2*p**2 - 4*p + 4. Let j be i(2). Solve 1 = m - 0, 0 = -j*h + m - w for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011111111101100000000111 - -1?\nAnswer: -11011111111101100000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*r = -1. Let x = 20 + r. Solve 5*n - x = -1, -3*n + 9 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 14*g = 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35277042 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -29078\/65 and -448 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**6\/12 + m**5\/4 - 5*m**3\/6 + 5*m**2\/4 - 12*m. Factor t(l).\nAnswer: -5*(l - 1)**3*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8307 + 8328. What is the remainder when i is divided by 21*(-1)\/(-3)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 95*r**2 + 3*r - 2. Let l be x(1). Let s be (2\/(-4) - -1)\/(8\/l). Let c be (s\/18)\/((-3)\/45). Let k(i) = i**3 + 5*i**2 - 7*i - 7. What is k(c)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 6:08 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -13. What is the second smallest value in 1\/6, -2\/9, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/2)*w*w\/w**(-4)*w**(-8)\/(w\/(w\/(w**10*w))) assuming w is positive.\nAnswer: w**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27 + 1)\/4 - (-4947)\/(-663).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3056792 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 518128 and 564.\nAnswer: 1554384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18377, -73515, -165411, -294065, -459477, -661647?\nAnswer: -900575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 + 9*z**2 + 0*z**2 + 11*z**2 - 47*z - 8*z**2 to a*z + t*z**2 + y and give a.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*s**2 - 52*s - s**3 + 49*s - 5 + 4 - s**3 to the form t + v*s**3 + l*s**2 + z*s and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 28219584 divided by -293954\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsqs when four letters picked without replacement from qofffllfs.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 438861?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -85*i - 1. Let d be x(3). Does 11 divide (d\/40)\/(1\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 1 + 1 - w**2 - 3*w - 5*w. Let r = 7 + -13. Let c be j(r). Calculate the highest common divisor of c and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*v + 29, 0*v - 30 = -2*o - v. Let t = o - 15. Let f(h) = 11*h**2 + 3 + h - 12*h**2 - 2. What is f(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*m + 20, 0 = -2*i + 3*m + 16 + 9. What is the units digit of 34\/i + 3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -352.3698 to zero decimal places.\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.950506 to 2 decimal places.\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -59803, -59804, -59805, -59806, -59807, -59808?\n\"Answer: -b - 59802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 110120 take away 3803929.62?\nAnswer: -3693809.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w - 60. Let m = -8 + w. Let y(v) = v - 1. What is the units digit of y(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*g + 2*b**2 + 68*b + 2*g + 8 with respect to b.\nAnswer: 4*b*g + 4*b + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 61755 + 0?\nAnswer: 61755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*1\/(-12))\/(39\/(-156))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -448*t**2 + 4*t + 2?\nAnswer: -896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2*c - 6 = 0, 2*d + 4*c + 6 - 24 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-740)\/(-30)*78\/52.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 22*r = -928. What is the remainder when r is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -195 + 60. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67986?\nAnswer: 2, 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 10:21 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 674.4507 nanometers to millimeters.\nAnswer: 0.0006744507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10640 is divided by 3328?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -10, -2, -9, -25 in decreasing order.\nAnswer: -2, -9, -10, -12, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 - 7*j**2 + j**5)*(-21 + 26 + 28) - j**5 + j**5 + 2*j**5.\nAnswer: 35*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 27 + 17 - 3*w - 31. Let y be c(3). Sort y, -3, 1\/2 in ascending order.\nAnswer: -3, 1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 + 38 = -26*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 8 = -5*k + 32, -13 = -k + 2*s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t + 11. Let h be m(-9). Suppose 3*a = -3*c - 2*c - 11, 2*a - 14 = h*c. Let r(n) = n**3 + 5*n**2 + 2*n - 5. Determine r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000047753 to 7 decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/5*6)\/((-47)\/1410). Suppose 4594 = 7*n + k. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**7\/105 - 16*u**5\/15 + 311*u**3\/2 - 478*u**2. What is the first derivative of q(o) wrt o?\nAnswer: 8*o**3 - 128*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.146\nAnswer: 0.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 + w**2 + 12*w - 3. Let z be d(-6). Let c = z - 370. Calculate the remainder when 83 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 3. Determine h(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45 - 63 + 84)*(0 + 0 + 21*k**2) as w*k + q*k**2 + z and give q.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 10 = 2*c, -5*i - 2*c + 3 + 5 = 0. Suppose -6*d - 80 = -5*b - i*d, -3*d - 15 = 0. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 627081 is divided by 512.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 24*j**2 - 381*j - 20. Let w be z(16). Is w less than 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 62*b**2 - 99*b - 6148. Determine l(-62).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 296208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 67265 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -21*y**3 - 5*y**2 + 25*y - 8. Let m(h) = -11*h**3 - 3*h**2 + 13*h - 5. Give 5*m(d) - 3*r(d).\nAnswer: 8*d**3 - 10*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2175 = -5052*c - 808 - 526 + 4211 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 131415341?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7627692391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 7 + 31*i**3 + 1.\nAnswer: 31*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19995 or -20028?\nAnswer: -20028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -530100 - -1?\nAnswer: -530066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + 64 + -46 + -133.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 - (35 - 35 - (23 - 4))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1415213 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13b (base 13) in base 2?\nAnswer: -11011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 416 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/56*(20\/60)\/((-2)\/42).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12843997?\nAnswer: 103, 124699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddtddrbttbtrdttd. What is prob of sequence brdb?\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68005.\nAnswer: 5, 7, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126793, -127408, -128049, -128728, -129457?\nAnswer: -130248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 24.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 84. Calculate the remainder when 140 is divided by z.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, 0.3, 12, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 583225039 to the nearest integer?\nAnswer: 24150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -22. Suppose q = -0*q + 4. Let z be 10\/h + (-4)\/q. What is the second biggest value in -2, z, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(187)*-4)\/(sqrt(11) - (sqrt(77)\/sqrt(7)*-5 + sqrt(11)))*2.\nAnswer: 24*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (-5 - -5)\/5. Solve d*m - 2*m = 4*z + 6, -3*z + m - 17 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109*n - 172*n**2 - 77*n - 32*n.\nAnswer: -172*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 2993011788?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000053286 to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45774331.\nAnswer: 45774331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(52)\/sqrt(4)).\nAnswer: -sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001978345 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = u, 3*u = 4*f - 3. Suppose f*n = 2*n - 1. What is the tens digit of 12 - (n + (0 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 5:46 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -47. Suppose 5*t + 22 = 3*r, 2*t + o = -3*r - 2*t. Is (0 - -6) + 2\/r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**3 - 1180*d**2 - 3605*d + 4780 = 0. What is d?\nAnswer: -4, 1, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose 0 = -5*c + l + 28, -4*c + 2*l = -4 - 22. Let h(w) = -w**2 + 8*w - 3. Let a be h(7). Solve q = -c*r + 5*v - 10, -a*v + 9 = -v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 687885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3143 (base 7) to base 8\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d**2 - d - 11. Let c be h(0). Let y be 3 + -7 - c - -1. Suppose -y = -2*q + 20. What is the highest common divisor of q and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*k, r + 4*k = 253 + 248. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -587 - -589. Let z = -7 - -5. Let h be (-501)\/z*(k - (-102)\/9). Round h to the nearest one hundred.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*g + 5324*g**2 - 5191*g**2 - 188*g + 95*g.\nAnswer: 133*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175 at least as big as 2175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 742 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zezzeezz?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 2*s**2 + s + 3. Let g(u) = u**3 + 6*u**2 - 37*u - 3. Determine -g(n) - 2*x(n).\nAnswer: n**3 - 2*n**2 + 35*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.94 - -0.04. Let f = -24362\/15 - -1624. Which is the third biggest value? (a) j (b) -4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -10. Let g be (a - -2) + 1 + 1. Solve 18 = -u + g*v, 5*v - 17 = -u + v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 694 divided by 10936?\nAnswer: 347\/5468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -373*q**3 + 8*q**2 - 6*q + 5. Let b(o) = 374*o**3 - 10*o**2 + 7*o - 6. Calculate 4*b(n) + 5*s(n).\nAnswer: -369*n**3 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - f + 4*f = 303, 0 = 3*f + 12. Is -62 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i - 17*i + 260 = 0 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 2*m**3\/3 + 1. Let a(x) = -34 + 16 + 18 + 3*x. Determine a(o(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103.17 + -0.83. Let d = 104.5 + r. Put -3, 2, -1, d in ascending order.\nAnswer: -3, -1, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000295956 to seven dps.\nAnswer: 0.0000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4590325 and 250325?\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 8:32 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 196.42974854 and -2.\nAnswer: 194.42974854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6990*f + 6990*f + 2289*f**2 + 649*f**2.\nAnswer: 2938*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-105)\/15*(-13)\/(-91).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1528 - -1527.9888. What is d rounded to three dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 954 and 203255?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -334104 (base 7) in base 16?\nAnswer: -e6a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 939557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 1.6. Let t = -0.67 - j. Round t to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0.08, 24\/7, -94 in increasing order.\nAnswer: -94, 0.08, 24\/7, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + g - 2 - 3, -g + 5 = v. Suppose 6*k - 10*k + 80 = v. Suppose k*b - 9 = 17*b. Solve -5*n = 3*f + 7 - 2, 1 = -n + b*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -30, -49, -68?\n\"Answer: -19*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -163.9 and 0.2?\nAnswer: 164.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4419 and 37413218?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4876 and 420184?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 - 185100*f**2 + 185100*f**2.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 926475.3mm?\nAnswer: 926475300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + -43085331313\nAnswer: -43085331312.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1748 = 356*n - 388 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59.57 + 60. Let g = k - 0.03. Suppose -3*m = -0*m + 15. Which is the second biggest value? (a) g (b) -5\/2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 581719 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:37 AM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 412 = -3*c - 82, v = 4*c - 457. Let y = -85 + c. Calculate the greatest common divisor of 20 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 11:08 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2959 divided by 29.\nAnswer: -2959\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -686425\/56 - -12259. Let s = 2092 + -33485\/16. Calculate the common denominator of s and g.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -36*z + 18. Let q(o) = -18*o + 8. Let g(p) = 4*l(p) - 9*q(p). Let y(n) = -2*n. Give y(g(b)).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 826.68 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 2*u**2 - u - 1. Let j be a(-2). Let v = 5 - 14. Which is greater: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 113da + 8?\nAnswer: 113e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 11*w**4\/24 + 59*w**2. Let q(g) = 540*g. Let z be 8\/6*(-3)\/(-2). Give z*q(s) - 99*o(s).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 37*q + 793. Let c be p(0). What is the greatest common divisor of 61 and c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -110490771 - 1?\nAnswer: -110490772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2222182 to the nearest integer?\nAnswer: 1491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31, 108, 263, 532, 951, 1556, 2383?\n\"Answer: 6*b**3 + 3*b**2 + 26*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -121. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + t + 10. Let l be (-2)\/12 - ((-7337)\/174)\/(-11). What is u(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 97\/2460, 0.2, 2\/7?\nAnswer: 97\/2460","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(3\/2)*z**(5\/4)*z*z**(-1\/5)*z*z*z**(-3)*z)\/(z**(-8)\/(z\/(z*z**(-1\/10)*z))*(z**(-2)*z)**(5\/4)) assuming z is positive.\nAnswer: z**(129\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87407500.\nAnswer: 2, 5, 34963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2 + 571*a**2 - 2*a - 570*a**2 - 9. Let s = 776 - 772. What is p(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**4 + 120 - 120 + q + 0*q**2 + 2*q**2 to k*q**2 + m + i*q + z*q**3 + c*q**4 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3386475647.\nAnswer: 41, 5413, 15259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/(sqrt(27)\/sqrt(3))*2 + (1*sqrt(315))\/(3*sqrt(15)\/sqrt(3)))**2.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7027020 divided by 396?\nAnswer: 17745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/850 and 83\/8060720?\nAnswer: 40303600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110403 (base 6) to base 5.\nAnswer: -243334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(40)\/sqrt(10))*6.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*j = 6041 - 344 - 1177 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-11 - -5) + 1 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -369476, -739152, -1108828?\nAnswer: -1478504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 580.6655m to kilometers.\nAnswer: 0.5806655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 11*q = 0. Solve -2*y + 3*v = 5, -2*y + 6*y - v + 15 = q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -4. 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 highest common factor of 11652784 and 32912?\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 13646.\nAnswer: 13646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3312.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 153*q - 2076. What is c(-18)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/2*t**2 + 3\/4*t + 0 - 3\/2*t**4 + 0*t**3 - 3\/4*t**5 = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*a + 21*a - 4*a in the form z*a + i and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4)\/l)\/l**(-2\/23) assuming l is positive.\nAnswer: l**(-107\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*x - 266. Let q = 40 - x. What is the third derivative of -4*h**q + 3*h - 17*h**2 - 11*h**3 - 3*h wrt h?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + 0*u + u**4 + (-364*u**4 + 509*u**4 - 276*u**4)*(11 - 5 - 26) + 0*u**3 + 0*u**3 + 2*u**4 as i*u**4 + h + z*u + g*u**2 + s*u**3 and give i.\nAnswer: 2623","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 9, c: 3}. What is prob of sequence qc?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -178170, -716603, -1613984, -2870307, -4485566, -6459755?\n\"Answer: v**3 - 179480*v**2 + 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gyy when three letters picked without replacement from yleeeggeleeeyyglegye.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/55*-26*(-38)\/8892?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 377 or 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 6 = -4*m, -43*m = -46*m + 4*w - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*x = 21*x + 814 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x**2 - 4*x + x)*(0*x + x + 0*x)*(1 - 1 - x).\nAnswer: 2*x**4 + x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3551873 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/150236 and -20\/142071?\nAnswer: 13070532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, k: 7}. Give prob of sequence jjk.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f - 2. Suppose 10*q = 7*q + 6. Let i(m) = m**2 + 11*m + 8. Let t(v) = q*i(v) + 9*r(v). Let x(z) = z**3 + z + 4. Let w be x(0). Calculate t(w).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - t + 61. Let z(p) = -p + 1. Let b be z(1). Let v be b\/(0 + 1 + 0). Is g(v) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25004 divided by -38\nAnswer: -658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220*o - 216*o - 13100 = 0. Suppose -6*l + 10091 = o. What are the prime factors of l?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77129056.\nAnswer: 2, 19, 126857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1266357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 + 5*h - 20 + 5*h**2 + 0*h - 11*h + 5*h**3 + 0*h. Let r be k(-5). Solve 0 - r = 5*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2096778 a multiple of 228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 12:04 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19385 is divided by 438?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * -189.\nAnswer: -5.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/22712, -0.4, -36 in ascending order.\nAnswer: -36, -0.4, 5\/22712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3596?\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 - 3 + 5)*(-2 + 0 + 1) - 3 + 0 + 2 + 3 + 6 + 1)*(-38 + 3*b + 38) to the form f + z*b and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u + u**2 - 29*u**3 - 2 + 49*u**3 - 24*u**3. Let a(c) = 7*c**3 - 2*c**2 - 5*c + 3. Determine -3*a(v) - 5*w(v).\nAnswer: -v**3 + v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69021 in 40, -1\/5, -5?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 11.7. Which is the second biggest value? (a) t (b) -0.02 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 2 + 2)*(-14*j**3 - 3*j**3 + 0*j**3 + 3*j**3 + 0*j + 0*j + (0 + j + 0)*(j + j**2 - j) - j**3 + 4*j**3 - 2*j**3 + 0*j**3 + 2*j**3 - j**3).\nAnswer: 22*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -11100010011?\nAnswer: 11100001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38.6, 5, 0.6, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 8*m + 11. Let y be q(-7). Let i = 33 + y. Is 16 a factor of (-2)\/(((-17)\/16 + 1)\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54\/7 or 967\/9?\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 31?\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 1) + (-4 - (-26 - -22) - 3) - 66\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 20\/650683?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -103, -280, -457, -634, -811, -988?\n\"Answer: -177*i + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 - (-124)\/(-6). Let z be (-130)\/35 - (-6)\/d. What is the closest to -3 in 5, -2\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 33. Solve -v - 6 = -4*n + 4, 3*v - d*n = -3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 less than 1687?\nAnswer: 1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r**2 + 21*r + 3. Let h(w) = 5*w**2 + 11*w + 1. Let j(a) = 7*h(a) - 4*v(a). Calculate the least common multiple of j(-5) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*p**2 - 366*p**3 + 49*p**2 + 409*p**3)*(-1 + 1 + 2).\nAnswer: 86*p**3 + 144*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 543 = -12*z + 15*z. Suppose -5*t + z = j, 649 = -j + 5*j + 5*t. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = c, -5*c + 26 = h + 38. Let w be ((-20)\/(-250))\/(h\/(-10))*-10. Factor 2\/3*k**3 - 2\/3*k + w - 8\/3*k**2.\nAnswer: 2*(k - 4)*(k - 1)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 27*j**2 + 591*j - 508. What is x(-23)?\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 4*z**2 + 3. Let n(t) = -3*t**2 + 2. Suppose -10 = g - 12. Suppose -g*y - 5 - 1 = 0. What is y*n(h) + 2*p(h)?\nAnswer: -2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1428, -0.05, 95.3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -55486.4?\nAnswer: -55486.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**5 - 2*p**5 + p**5)*(-1 + 3 + 3) - 20*p**5 - 1500*p**2 + 1500*p**2 + 2*p**5 + p**5 + p**5.\nAnswer: -31*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-28))**(-24\/11) assuming p is positive.\nAnswer: p**(672\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/241423, 4, -3, 17 in ascending order.\nAnswer: -3, -2\/241423, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -43234 (base 6) in base 5?\nAnswer: -142201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 6, 5, 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -406807?\nAnswer: -54\/406807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10324649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 247857128440 - 162500714294. Let n = z + -85356414536.99999817. Let g = -391 - n. Round g to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-9)\/2)\/(6\/40). Let s be (-5)\/(-4) + o\/40. What is the highest common factor of s and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1014\/17 - -18801\/340. Find the common denominator of (-7)\/(-14) - (-86)\/(-42) and r.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -525899, -525902, -525905, -525908, -525911?\nAnswer: -525914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10430 is divided by 3394.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.11 + -0.11. Let m be (8\/(-30))\/(1660\/498). Which is the biggest value? (a) -2\/3 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r + 194*r - 487 = 2439. Let l be 2 - (-28*1)\/(-2). Let v be ((-68)\/(-6))\/((-8)\/l). Which is bigger: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r - 3*j = 129, 2*j - 154 = -2*r. Let d = r - 67. What is the second derivative of -2*w - 16*w**5 - 13*w + 5*w**d wrt w?\nAnswer: -220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + n = -n - 10, -n = 5. Let y(v) be the second derivative of -4*v + 1\/12*v**4 - 1\/2*v**2 + i - 1\/40*v**5 + 1\/12*v**3. Determine l so that y(l) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*((4*(sqrt(33) - 4*sqrt(33)*-2)\/(sqrt(3)*1*-6))**2 + -4).\nAnswer: -2348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -24291823 = -24291822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (11\/(-5544))\/(2\/(-159)). Let y = j - -1\/112. Let c = 0.84 - -1.16. What is the fourth biggest value in 5, 2\/7, c, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8132425092.99999512 - 8132425531. Let o = 438 + s. Round o to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -1\/140*q**7 + 0*q + 0*q**4 + 0*q**6 - 61*q**2 + 9\/40*q**5 + 0*q**3 + 0. Determine a so that t(a) = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 8 + (3 - 3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (29*b - 82*b - 35*b + (2 + 2 - 2)*(1 + b - 1) + 0*b - b + 0*b)*(-5 + 1 + 3) in the form g*b + q and give g.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 10*u**2 - 2*u - 4. What is the remainder when j(8) is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 303.152 times -28\nAnswer: -8488.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445257 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*a = 86, -q + 6 = -a - 24. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0)**(-5)\/(j\/j**3*(j*j**4)\/j) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 + 106. What is the remainder when (k\/(-9))\/(6\/(-2691)) is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102001211 (base 3) to base 7\nAnswer: 143623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 + 7*f - 5. Let l be 6 + (-5 - 5) - -8. Determine v(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1473197, -2946397, -4419597, -5892797, -7365997?\n\"Answer: -1473200*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnuu when four letters picked without replacement from {u: 5, k: 1, q: 6, n: 4, l: 4}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2) + 1)*-2 + 3 + (0 + sqrt(2))**2 + sqrt(2) + -2.\nAnswer: -sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Suppose 2*s - 21 = v. Let h = 0 + 4. Solve 2*p = h*b + s, -b = -4*b + 4*p - 14 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 1. Let k(x) = -x - 32. Let c be k(-14). Let g(a) = -3*a**3 + 33*a**2 - 24*a + 30. Let l(f) = c*q(f) + g(f). Factor l(t).\nAnswer: -3*(t - 2)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 266 and 337082382?\nAnswer: 337082382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 c when four letters picked without replacement from zxcddcc?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 25, 28, 29, 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -11001011?\nAnswer: -11001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -3\/4*y**4 + 0*y**3 - 6*y + 3\/20*y**5 + 0 + 0*y**2. Find the third derivative of z(d) wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -28?\nAnswer: -15\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-18)*r**(-13))**(-2\/39) assuming r is positive.\nAnswer: r**(62\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 182\/437 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 115*l**2 + 5*l - 8263. Let u(y) = -242*y**2 - 13*y + 16526. Let i(f) = -9*r(f) - 4*u(f). Differentiate i(g) with respect to g.\nAnswer: -134*g + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1260 and 9099524.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.007, -5, 0.4, 0, 2 in ascending order.\nAnswer: -5, 0, 0.007, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 552149440*f + 19054312755769600.\nAnswer: 4*(f + 69018680)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -266*w**2 + 0 - 4*w**3 + 260*w**2 + 1 to the form y*w + a*w**3 + j + c*w**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 265 + -149. Let z = 270 - q. Suppose 3*i - 116 = z. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2\/7, -1\/2, 30, 0?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -1535 + 1241. Calculate the remainder when 55 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/7 of a week in days?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 37, 0.02, 3\/4, 0.23 in increasing order.\nAnswer: -1, 0.02, 0.23, 3\/4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, -80, -5 in decreasing order.\nAnswer: 93, -5, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 440935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-29696882.\nAnswer: -29696882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/2 + 0 + -2. Suppose -s*b = -3*b + 1, -3*b - 15 = 3*j. Let y(l) = -l**3 - 4*l**2 - 3*l - 5. What is the units digit of y(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 + 0 = 0. Suppose 0 = -3*j - 2*i + 966, 3*i - 335 = -j - d*i. Round j to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09644 and 0.3582.\nAnswer: -0.034544808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1445, 1442, 1439, 1436, 1433?\n\"Answer: -3*r + 1448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29190 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 1 - 1)*(-70 + 70 - 30*n) + (2*n + 4*n - 2*n)*(3*n**2 - 2*n**2 - 2*n**2).\nAnswer: 26*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 12*k - 3. Does 8 divide o(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*o**2 - 60113 + 30266 + 29847.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -53 - 50 - (43 + -1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 16. Suppose -3*w - 223991 = 4*y, -3*y - x*w = -4*y - 56006. Round y to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.5 - -0.5. Is -3 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(63) + (sqrt(28)*1)**2.\nAnswer: -3*sqrt(7) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 7:44 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -128.4 + 128. Let c = -1391 + 1393. What is the closest to c in y, 3, 5\/2, 27?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 36 = 7*w. What is the remainder when 46*(-4 + w\/(-4)) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + 28. What is the highest common divisor of 22 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*k = 2*d - 18, k = 3. Let i(p) = -2*p**2 - 3*p**2 + 2 + 5*p**3 - 3*p - 2*p**d + 1. Calculate the remainder when i(4) is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**2 - 3*w + 435. Let x(t) = 10*t. Give x(l(d)).\nAnswer: 20*d - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 9. Let n(a) be the second derivative of -5*a**3\/6 + 8*a**2 - 2*a - 45. Let d be n(h). Which is greater: d or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 - -44. Let k(m) = 17*m**2 + 8 - b + 28*m - 43*m - m**3 + 8. What is the remainder when 117 is divided by k(16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, m: 1, x: 2, r: 1, l: 1, g: 2}. What is prob of sequence mlxg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -1212 + 340. Let j = v - 436. Solve j = 4*p - m + 7, -5*m - 7 = -p + 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 - 7)\/(1\/1). Suppose 0*s - 3*r = -3*s - 6, w = 5*s - 2*r - 5. Solve 3*o - s*x = 0, -6*o - 45 = -2*o + 5*x for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b + 5. Let t(n) = 2*n**3 - 5*n**2 + n + 3. Is t(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -j - 9*b + 26, -5*j - b + 34 = 0. Suppose j*a - 13 = 23. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 21*b - 203 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 6*t - 5*t - 4*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-12)\/8). Which is the second smallest value? (a) -1 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/132 and -149\/56916.\nAnswer: 626076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s**(-2\/19)*s))\/s*s*s*s)**(-2\/3)\/(s**(-5\/4)*(s*s*s**(-6\/5))\/s) assuming s is positive.\nAnswer: s**(-707\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 = -38*i + 193. What is the highest common factor of 1930 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4736 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 7018*v + 878320. What is p(123)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38953.52cm to meters.\nAnswer: 389.5352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -27) + -22 - (1 + -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 1082?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 8294.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 998557996 divided by -1523.\nAnswer: -655652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -9) + (7 - (5 - 6)) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 - 115*r + 61*r - 6*r**3 + 56*r in the form c + o*r**3 + z*r**4 + g*r + h*r**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(11)*-5 + 2 - (sqrt(275) + -1 + 1)**2.\nAnswer: -273 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 33 - 5*z**2 + 7 - 9*z**2 - 3*z**3 - 4*z**3 + 5*z**3. Let h be i(-7). Solve -38*p + h*p + 4 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2698294036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6 times 3?\nAnswer: 16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 6. Let w be l(3). Suppose w*q = 2*q + 7604. Let x = q + -45755\/6. What is the common denominator of x and -49\/26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Let h = -22 + 22.1. Put x, -4\/7, h in descending order.\nAnswer: x, h, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 0, -1, -4, 24.\nAnswer: -34, -4, -1, 0, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -l - 1 - 14*l - 6*l + 70*l**2 + 3 - 3 as k*l**2 + q*l + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4 + 4*l**2 - 65*l**3 + 40*l**3 + 9*l - 1 - 21*l**3 - 41*l**3. Is v(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145525255 (base 6) to base 4.\nAnswer: -23232303203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2865792 and 1152?\nAnswer: 8597376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -898 times 0.3?\nAnswer: -269.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*y - 7*y - 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2741, -4484, -6227?\nAnswer: -7970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/72 - 2\/9. Suppose 3*s - 53 - 7 = g. Suppose 3*l - 3*j = -j + 20, -s = -4*j. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10604.13 litres in millilitres?\nAnswer: 10604130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 421 + -420. What is the hundreds digit of (2 - l)*(-7)\/((-21)\/3393)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 14*n**3 - 5*n + 3. Let i(x) be the third derivative of 7*x**6\/30 - 11*x**4\/24 + 7*x**3\/6 - 2431*x**2. Give -3*i(b) + 7*s(b).\nAnswer: 14*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 2*w**3 + 28 + 3*w**3 + 8. Does 12 divide r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*v**2 - 96560 + 193120 - 96562 + 7*v**2.\nAnswer: 34*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1273937125 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 4*z + 109, 3*m + 4*z - 66 = m. Solve 4*b - 20 = 0, 3*c + c + m = 5*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 204*c**2 - 1193*c + 1193. Calculate j(1).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 10 = 5*m, -5*m - 3 = 4*h + 4. Put 2, -1, h in decreasing order.\nAnswer: 2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 7*t + 4*q + 12, 4*t + 12 = q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.575 and 123.\nAnswer: 70.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 596\/15 + -131749\/3360. Find the common denominator of 53\/42 and p.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-1*213\/(-142)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.4 + -0.9. Let w = -6.9 - r. Suppose -4*u = 2*g + 17 + 5, 60 = -5*u + 4*g. Sort w, -0.4, u, -1\/3.\nAnswer: u, -0.4, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23254384 < -23254392?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z - 24 = 0. Suppose -b = 2*b - z. Does 4 divide 2 + b + -1 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2210, 4410, 6608, 8804, 10998, 13190?\n\"Answer: -v**2 + 2203*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1024b2b (base 13) to base 14\nAnswer: -915a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*u**4 - 3696*u**3 + 460440*u**2 + 931952*u + 467820 = 0. What is u?\nAnswer: -1035, -1, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -48*x**2 - 2*x - 2. Let y be o(-2). Let c = y - -2852\/15. What is the second smallest value in -2\/5, c, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + 6. Suppose 4*c - 40 = -5*d, -5 = -2*d - 3*c + m. Solve -3*f - d = f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24180 and 1435083?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(5\/(-2) - -2). Let j(r) = 3*r**3 - 8*r**2 - 7*r - 14. Let u(b) = 2*b**3 - 7*b**2 - 6*b - 11. Let s(q) = 3*j(q) - 4*u(q). Give s(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5364274.\nAnswer: 2, 317, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -21847 from -0.335334.\nAnswer: 21846.664666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**2 - 12*i + 2. Let y(t) = 10*t**2 - 12*t + 1. Let p(k) = 6*w(k) - 5*y(k). Is p(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256 + 499 - 243 - 17*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -10 + 34 + -29?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 7. What is the lowest common multiple of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-35)\/(-168))*930\/279?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80854463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3 - 12*k**2 - 87*k - 72 = 0 for k.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 13*o - 28. Let z be r(10). Suppose -z*g = -3*u + 560, 0 = 2*u - 5*g + 6*g - 364. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*y + 187 = 0, -5*s + 382 + 564 = 4*y. Calculate the remainder when s is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 158\/(-18) - (-2)\/(-9). Let l be (6\/(-9))\/(6\/y). Differentiate -5*z**3 + l - 2 + 3*z**3 with respect to z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**2 + r - 1. Let h be d(3). Let i(y) = -y + 5. Let f be i(4). Suppose -f = p + 2*m - 6, -4*m - h = -4*p. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 23, 75, 179, 353, 615, 983?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.27 - 0.27. Sort 5, q, 1.\nAnswer: 1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - z)*(-3 - 5 + 21)*(3 - 2 + 1)*(1 + 5 - 2).\nAnswer: -104*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 161 = 7309. Let b = 396 - f. Put 1, b, 0 in descending order.\nAnswer: 1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001968 rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 153317 or 1234?\nAnswer: 153317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -20*d + 24*d - 5, -5*d + 6*s = -55 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 18*z**2 + 20*z + 13. Let y be q(-17). Let p be y\/98 - 4\/(-14). Is -7 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -1, 2.7, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -5*i + 38, -11505*s + 24 = 3*i - 11503*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + k**2 + 2*k - 3. Let w(f) = -f**3 + f**2 + 2*f - 3. Let d(z) = -5*u(z) + 4*w(z). Let x be d(2). Sort x, -0.3, 0.1.\nAnswer: -0.3, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*m - 4*m. Suppose u - 32 = -m. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Let v(m) = -4 + 4 - m**f. Let j(i) = -i**2 + 1 + 6 - 7. What is v(j(t))?\nAnswer: -t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3 + 3118*i**2 - 2433596*i + 4854728 = 0. What is i?\nAnswer: 2, 1558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwkkwkw. Give prob of sequence wk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-1 + -1) - -13. Suppose 0 = 3*v - 5*v + 198. Calculate the highest common factor of f and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 1366*g.\nAnswer: 2*g*(g + 683)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4899 divided by -1633.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 232520 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31171 by -61.\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47 + -38. Let k = 88 + n. Which is the second biggest value? (a) -0.2 (b) k (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i\/(i*i**(-2)*i))\/i*i*i)**46*i**(-6)\/(i\/(i*i**(-3)\/i)))**(-11) assuming i is positive.\nAnswer: i**(-1914)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -435 less than -0.5?\nAnswer: 434.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 111 = 2*o - 5*z, 2*z = 3*o - 367. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*x + 5)*(-3 + 1 + 3 + (-1 + 0 + 0)*(6 - 5 - 2) + 3 - 2 + 2).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 23 - 9) + 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 239 - 6b?\nAnswer: 18a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4)*2 + 22. Suppose 3*q = 2*l - 6, q + 5*l - n = -6. Suppose t - 5 + q = 0. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1606*f**2 - 3*f**3 - 804*f**2 - 802*f**2.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 85?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11db33 (base 15) to base 7\nAnswer: -10164534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1243*v + 1222*v + 483 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.2 - 0.2. Let w be 6\/9 - 4\/(-6). What is the closest to 3\/5 in -1\/2, z, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/109 (b) 0.3 (c) -0.03 (d) -2\/5 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 15*x**2 + 10*x - 121. Give c(-8).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.278 + 1.948. Let z = -0.94 + a. Let r = -0.08 - z. What is r rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -5, 4, -59037 in increasing order.\nAnswer: -59037, -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1*8*(1 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -11*b + 8. What is the units digit of k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -156887.37 rounded to the nearest one hundred?\nAnswer: -156900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 79624 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a5aa2 + 595?\nAnswer: -1a5509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120413583 or 120413585?\nAnswer: 120413585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80\/((-3 + -2)\/(1*-5)) is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1780175 years to decades.\nAnswer: 0.01780175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -19*m**6\/720 - m**5\/60 + 5*m**4\/24 + 4*m**2. Let d(r) be the second derivative of w(r). List the prime factors of d(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {u: 2, i: 1, f: 1, p: 1, c: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5668 and 8515?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/54*(-1833)\/(-235)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 20.5 (c) -97 (d) -1\/9 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a meter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, i: 7, k: 1}. Give prob of sequence uku.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 475 in descending order.\nAnswer: 475, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -1 - 19. Let o = 2 + n. Suppose -5*l = 4*z - 257, 83 = 2*l - 5*z - 0*z. What is the highest common factor of o and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6 - (-26)\/5) + 29370\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**7\/3780 - w**6\/810 + 4*w**3\/3 + 4. Let c(f) be the third derivative of l(f). Factor c(k).\nAnswer: -2*k**2*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 77. What is the smallest common multiple of d(19) and 16?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -0.07, 212.8?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*v = 85, -3*l + 60 = v + 2*v. Calculate the highest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36264, -72514, -108762, -145008, -181252, -217494, -253734?\n\"Answer: t**2 - 36253*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 10*k**2 + 9*k + 19. Calculate m(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -1\/18*j**3 + 1\/1080*j**6 + 7\/216*j**4 - 1\/108*j**5 + 0*j - j**2 + 0. Factor r(x).\nAnswer: (x - 3)*(x - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 16 = 4*g. Suppose -h - 6 = -5*o + h, 5*o - g = 3*h. Let r = -36109 + 36111. Solve o = 2*q - r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -506 - -498. Find the common denominator of (-2)\/q + ((-375)\/120 - 3) and -139\/108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.07? (a) 40 (b) -2 (c) 10 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5625 + 2b?\nAnswer: 5650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 34 = 5*k, 745*h = k + 751*h for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by 22024\nAnswer: 95\/22024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4392*g + 4398*g = -54. Let z = -103 + 147. Let h = z + g. List the prime factors of h.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2. Let y(i) be the third derivative of 37*i**5\/60 - 13*i**2 + 2*i. Determine y(d(k)).\nAnswer: 333*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3ca4a (base 14) to base 4\nAnswer: -210222322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 16. Let w(s) = 4*s**2 - s - 1. Let k be w(q). Suppose -k*l = 3*t - 258, 188 = 3*l + 4*t + t. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 31*v + 107. Calculate w(-26).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*p + 244*p - 589*p - 83*p.\nAnswer: -341*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -0.8, 1, -3, -31, 400, -0.2?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 1\/6 (c) -0.4 (d) 141206 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-15)*(-1)\/(98\/(-42))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 21. Let b = m + 13. Is 3 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-171)\/63 + 3 - ((-79)\/(-7) - 1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-585)\/26 + 16 + (-594)\/18 + 3\/6.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in -51, -2\/3, 3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5181, -5212, -5233, -5244, -5245?\n\"Answer: 5*m**2 - 46*m - 5140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*n + 5 + 3 = 0, 12 = 4*n. Suppose -3 = -4*v + o. Let x(i) = 7 - 3*i - 4*i + v*i. Give x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6707559 is divided by 19055?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3. Let l be x(2). Suppose -2*d + 0*d + 5*c = -18, -4*d + 5*c + 26 = 0. What is the highest common divisor of d and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2240887)\/248985 - -9)\/((-3)\/(-9)). Which is bigger: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220100100200 - -10?\nAnswer: -220100100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 0.79\nAnswer: 13.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by 3149112.\nAnswer: 107\/3149112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5389163.\nAnswer: 13, 41, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2\/449, 4494, -4, -12?\nAnswer: 2\/449","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9 or 22.949?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (49 - 25) + (22 - -71215).\nAnswer: 71261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(6\/5)\/((-6)\/(-20)). What is the closest to 0.1 in -1, s, -5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02597 minus 170.5?\nAnswer: -170.47403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*f - 107*f + 11*f + 30*f + 30*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000131096 to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 0 = 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 72658*i. Let k(l) = 12*l. Determine n(k(h)).\nAnswer: 871896*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15905323223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99104*z - 99103*z = -4*p + 23, -78 = 4*z - 18*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 45*n**3 - 4412*n**2 + 333*n - 13439. Determine i(98).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13388485787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 400*i + 18734 = 398*i - 321*i for i.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -348 divided by -519\nAnswer: 116\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0828817l in millilitres?\nAnswer: 82.8817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(245) - -1*sqrt(245)*-6) + 1*(-2 + sqrt(245)) - -3*sqrt(245)*4*4)**2.\nAnswer: -1232*sqrt(5) + 474320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 6. Let t(j) = j - 30. Let h(f) = -5*q(f) + t(f). Let g(p) = -9*p**2. Calculate h(g(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2686, -1\/2, 0.\nAnswer: -1\/2, -0.2686, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, p: 6}. Give prob of sequence pppi.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/9*21\/(-49). Let l be (-5)\/(-2)*(-7)\/(-35). Which is the nearest to k? (a) l (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -1.7797 (b) 1\/10 (c) -2\/17 (d) 2 (e) 2\/7 (f) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = c. Suppose -3*g = c*g - 335. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2, -8, -8, -2?\n\"Answer: 3*t**2 - 15*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.000367*-0.014.\nAnswer: 0.000005138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 904555 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 34*d**2 - d + 8. Let q(o) = -6*o**2 + o - 1. Let g(n) = 5*q(n) + v(n). Determine g(-4).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, 36 in descending order.\nAnswer: 36, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -1\/47 (b) -3 (c) 1\/3 (d) -0.02 (e) 5 (f) -1\/14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1091*l + 1097*l + 6 = 0. Let z be (-4 - l)\/(((-45)\/12)\/5). Solve -3*b - 2*h = -2, -z*b - 2*h + 12 = 3*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -42931, 3\/4, -0.1 in decreasing order.\nAnswer: 3\/4, 0, -0.1, -42931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 917278868.\nAnswer: 2, 11, 20847247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171096 or 171085?\nAnswer: 171085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 1989707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 53508?\nAnswer: 53511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + j = 2*a - 3, 0 = 5*a - 5*j - 5. Let t(h) be the first derivative of -h**4\/2 + 2*h**3\/3 + 27. Calculate t(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 440 - 447. Let d(u) be the third derivative of -u**6\/120 - u**5\/10 - 7*u**4\/24 - u**3\/6 - 2*u**2. Is d(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*g - 2841*g**2 - 114*g + 2884*g**2 + 36*g + 38*g.\nAnswer: 43*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433890 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/5)\/((-112)\/(-840))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1 take away 8267?\nAnswer: -8261.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 21. Let y be (-18)\/(-12)*20\/v. Let w be -1*2 - (-15)\/y. What is the second biggest value in w, -3, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 19*k = -34 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5234 divide 4485695020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1092*m - 28*m**5 + 2*m**2 + 1092*m + (-3*m**3 + 5*m**3 + 0*m**3)*(-m**2 + 8*m**2 - 3*m**2).\nAnswer: -20*m**5 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 3*a - 8. Let z be v(6). Let d = z - 7. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 1.1, -3, 113?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27224 or 27245?\nAnswer: 27245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y = -46 - 22 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-25 - -1)\/3. Suppose -172 = -r*v + 3*v. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)*q**(-4\/5))**(-26) assuming q is positive.\nAnswer: q**(1274\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1948446?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*p - 27*p + 8*p**4 + (-1 - 1 + 0 + (-2 - 3 + 3)*(2 + 5 - 6) + 1 + 2 - 1 - 4 + 1 + 1 + 1 - 4 + 4)*(54*p**2 + 5*p**4 - 54*p**2).\nAnswer: -7*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -x**7\/420 - x**6\/120 - x**5\/120 - 2*x**2 - 5*x. Let y(k) be the first derivative of l(k). Factor y(t).\nAnswer: -t**2*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(40)*-1 - sqrt(90)\/(sqrt(9)*1)))\/(6*(-5*-5*sqrt(35))\/sqrt(7)).\nAnswer: 3*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from fffqqqf.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68\/93 - -2\/31. Let o = -2 - -5. Let h = 2 - o. Which is smaller: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rg when two letters picked without replacement from lgrzpjjzl?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17128, -68323, -153592, -272935, -426352?\n\"Answer: -17037*k**2 - 84*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/11 + 16*c**2\/11 - 30*c\/11.\nAnswer: -2*c*(c - 5)*(c - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3788890196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 12*n**2 + 12*n + 13. Let w be -1*(0 - (16 - 3)). Let u be k(w). Let z(j) = -j**2 - 8*j - 6. Let c be z(-7). Which is bigger: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - 59*w - 481. Let z be u(67). Solve -z*k = -56*k - 6 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 2123120?\nAnswer: 2123120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 114446412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 15.5 (c) -4\/7 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*j = -2, 5*s - 2*j + 539 = 573 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 275679*c**3 + 596828?\nAnswer: 827037*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -55*l**2 + 114 + 9*l + 146*l + 98 - 62 + 60*l**2 = 0.\nAnswer: -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52831802.\nAnswer: 2, 26415901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 4*b + 20)*(0*b + 7*b + 6*b).\nAnswer: -52*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 380.714 + 0.286. Let a = -379.42 + s. Round a to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 352, 356, 360, 364?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**2\/4 + 329838*j - 108793106244 = 0. What is j?\nAnswer: 659676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 3\/377?\nAnswer: 3\/377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 6, k: 7, f: 4}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 228448189*s**2 + 503972462*s?\nAnswer: 456896378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46495, 50692, 54887, 59080, 63271, 67460?\nAnswer: 71647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, -96732, -3 in descending order.\nAnswer: 16, 3, -3, -96732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70 divided by -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(108) + (sqrt(108) + 0)**2) - sqrt(9)\/(sqrt(3) - (sqrt(3) + sqrt(33)\/(sqrt(33)\/sqrt(3)) + sqrt(3))).\nAnswer: -648 - 71*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1150, 1158, 1170, 1186, 1206, 1230?\nAnswer: 1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4810 = 170*k - 3347 - 131 - 4802 for k.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5 and 46\/4217031.\nAnswer: 21085155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 280 - 277. Solve -5*j = -3*p + 7*p - 13, 0 = -p + y*j - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1110641663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**5\/13 - 4*a**4\/13 - 16*a**3\/13 = 0. Calculate a.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 44. Determine q(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)*n)\/n)**(-44) assuming n is positive.\nAnswer: n**220","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/491 - -1978\/3437. Let j = -0.5 + 0.1. Are s and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - w. Let t = -16 - -17. Let u(q) = -q**3 + 3*q**2 - 5*q + 1. Calculate t*u(a) - 3*v(a).\nAnswer: -a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46046.3 * 0.0245.\nAnswer: -1128.13435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 869.4 + -864.9548. Round j to 1 dp.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 626 and 57905?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 2*j**5\/5 + 2*j**3 + 19. Find the third derivative of p(b) wrt b.\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 5*f**2 - 2*f + 6. Let u be s(5). Let o be -1*(-122)\/u*-2. Let p = o + -15. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -484961387.\nAnswer: 484961386.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -126 - -112. What is the common denominator of (20\/120)\/(z\/618) and 39\/166?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*t - 93*t + 72 = 0. Let m be ((-3)\/5)\/(3\/(-15)). Suppose -t*p = -m*p. Solve -j - 20 = -p*j + 5*n, 0 = 2*n + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 5*p**5 - p**5 - 7 - 3*p - 2*p**5 + 3*p + (8*p**2 - 8*p**2 - 180*p**4)*(p + 0 + 0).\nAnswer: -178*p**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*w - 58, 2*b - 3*w + 116 = -8*w. Let j = b + 87. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 3:21 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*o**3 + 70*o**3 - 411*o**3 + 74*o**3 + 188*o**3.\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*b - 180 = 0. Suppose -2*w = 4*g + 3*w - b, -36 = -2*g + 2*w. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = x + 3*x. Suppose -z - 4*z = 2*r + 15, z - 5 = -x*r. Let d be (-1 + -6)\/((-5)\/r). Solve 0 = 3*g + d*m - 2*m - 15, g + 2*m = 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -16. Let n = 12 + q. What is the units digit of (-784)\/(-24) - n\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98273\/60 + 1638. Find the common denominator of w and -133\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138 - -196. Let m = 1251093812 - 1251093869.9999939. Let a = m + z. Round a to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 15) to base 6.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124868 and 636?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 4 = -24. Let a(t) = -2*t - 1. Let m be a(1). Let b = m + g. Solve 2*s - 10 = -v, -3*v - 16 = -4*v - b*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 26010 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/20740 and 89\/200.\nAnswer: 207400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159026, -159027, -159028, -159029, -159030?\nAnswer: -159031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/78*(-15015)\/770.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*u - 3*u - 14, -2*u - 4 = 0. Is i != 5\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46, 88, 132, 178?\n\"Answer: j**2 + 39*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2362*f + 3920*f**3 + 2362*f.\nAnswer: 3920*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -397*t**2 - 137 + 223*t**2 + 7*t + 173*t**2.\nAnswer: -t**2 + 7*t - 137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10450*w**5 + 95*w**4 + 3*w**3 - 26*w**2 + 8*w + 348.\nAnswer: 627000*w**2 + 2280*w + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2550.4 + 2550. Which is the nearest to 0? (a) -0.1 (b) -91 (c) o (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4 = 4*d + 2, 4803*d - 4801*d - 14*j + 78 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 142*t**2*v**2 + t*v**2 + 250*v**2 wrt t?\nAnswer: 284*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/8, 0.1, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 252156227 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/((-290)\/120))\/(2\/((-4)\/3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1078, -1224, -1396, -1600, -1842, -2128, -2464?\nAnswer: -2856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2)**31*((a*((a**10\/a)\/a)\/a*a)\/a*a)\/a*a\/(a*a**(8\/7)) assuming a is positive.\nAnswer: a**(482\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023400 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1265529 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*12\/(-5040)*16\/(8\/8*-10)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/31? (a) 30 (b) 2 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or 300\/323?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 749968988*f**3 + 9*f**2 - 6584267?\nAnswer: 4499813928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*t - 81, 0*t + 75 = 4*t - x. Suppose f - 5*j = 26, f - t = -3*j + 6*j. Determine n so that -2*n**2 + 3*n - f*n - 4*n**2 = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/10 of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 235 = 707. What are the prime factors of (-4)\/(-8)*-4 + k?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250 divided by 5.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*o + 4, -4*w - 3*o + 10 = 2*o. Suppose 3*m + 3*z + 100800 = w, 3*z - 134400 = -0*m + 4*m. What is m rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*a**2 + 189 - 75 - 64*a**2 + (4 - 4 - a)*(0*a - 3*a + a) to the form r*a**2 + t + j*a and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**4\/4 + 3075*p**3\/2 + 830898*p**2 + 43618824*p + 232131744 = 0. Calculate p.\nAnswer: -996, -52, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 6*q**2 + 1. Let c = 0 - -1. Suppose -2*m - m + c = 4*t, 0 = t - 3*m + 11. Let v be -1 + 4 + (t - 0). What is s(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 - 56992.\nAnswer: -56953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-13 + 7) - (2 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 - ((-6 - -6) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 14*v = 7*v - 15745. List the prime factors of v.\nAnswer: 5, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 61 * 21325.228\nAnswer: 1300838.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 2344548.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 31*s - 3. Let h(v) = 32*v - 2. Let n(m) = -4*h(m) + 3*x(m). Is n(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 9*j = -2691. Let d be -4 + 13\/(j\/(-270)). Is d <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621930 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477881011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/9)\/(u**(-1\/11)\/u))\/(u**(2\/17)\/(u*u**(-41))) assuming u is positive.\nAnswer: u**(-64934\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 262*d**4 + 107787*d**3 - 223678172*d**2.\nAnswer: 6288*d + 646722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*r - 12, -11 = -2*j - j + 5*r. Solve j*f = -3*p - 4, -4*p - 5 - 4 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*v - 5*v + 22*v as w + m*v and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1, -2\/19, 0.5, -2.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/144 and 95\/8?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 - (3 + 4\/(-4)). Let h = -6 + y. Suppose 4*j - 7 - 25 = -3*u, h = 4*j + 5*u - 32. Calculate the greatest common factor of j and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:00 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154\/19 - 1885\/38. Let n = -22349\/30 + 2201\/3. What is the common denominator of y and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b + 4*b**2 + b**2 - 4*b + 4 - 4*b**2. Let c be z(3). Let i(m) = 3*m - 6. Calculate i(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(1 - 16\/14). Let n(i) = i**3 + 8*i**2 + 9*i + 9. Let j be n(y). Let m be (-2 - (j - -3))*-1. Solve m = -s - 0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 531 - 410. Let u = h - 602\/5. Determine y so that 6\/5*y**2 - 12\/5*y**3 + u - 9\/5*y**4 + 12\/5*y = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -173, -392, -699, -1094?\nAnswer: -1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00482 + 87.\nAnswer: 87.00482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y + 0*y)*(12 - 2 + 2)*(4 + 11 + 1).\nAnswer: 384*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11*x - 132. Let a be w(-13). Calculate the greatest common divisor of a and 704.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*c + 19, 4*b - 3*c - 2*c - 41 = 0. Let g(l) be the second derivative of -7*l**3\/6 - l**2 + 6*l. What is the lowest common multiple of b and g(-4)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(5\/3)\/i)\/(i**(-2\/13)*i)*(i**(-1)*i)\/i*i\/(i*i**(-5\/2))*((i\/((i**(-2\/11)*i)\/i))\/i*i)\/i**4*(i**(1\/4)*i)**(-2\/37) assuming i is positive.\nAnswer: i**(-8972\/15873)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j**3 + 6*j**2 + 36*j + 7. Let s(b) = -9*b**3 + 5*b**2 + 36*b + 6. What is -5*r(x) + 6*s(x)?\nAnswer: -4*x**3 + 36*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -3 - -4) + 24 + -19.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3*k)*(465*k**2 + 470*k**2 - 149*k**2).\nAnswer: -2358*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irbrfbrbgibbfrbgbbgo. What is prob of sequence br?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3138b9 (base 14) in base 13?\nAnswer: -462559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhn when three letters picked without replacement from tngnhvn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/4*6\/(-3). Let u = 1084 - 1080. Put -16, u, o in decreasing order.\nAnswer: u, o, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 48. Let j be (-4)\/z + (-26)\/(-5). Suppose j*w - d = 1340, 3*w + 0*w - 804 = -2*d. Round w to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2782125?\nAnswer: 3, 5, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 969.3725m to millimeters.\nAnswer: 969372.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*h + 14, 2*g - 34 = -0*g - 4*h. Is 25 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v - 17 = 179. Does 67 divide (0 + v)*(-7 - 371\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*s - 4*s**4 + 0*s**2 + 3*s**4 + 0*s**2 wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -5*k**2. Let r(a) be the third derivative of -a**4\/24 - 7*a**2. What is s(r(q))?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 9*f**2 + 7*f + 3. Let b be k(-8). Let y(a) = -a**3 - 3*a**2 + 2*a - 2. Let j(v) = 4*v**3 + 16*v**2 - 11*v + 11. Calculate b*y(c) + 2*j(c).\nAnswer: -3*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 76 (b) 25 (c) 5\/6 (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-216 - -223) + 7906*5 - 9?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -2. Let r be (32\/(-56))\/((-1)\/v). Let p(s) = 3*s - 2. Let w(l) = 9*l - 7. Let k(i) = r*w(i) - 14*p(i). Let b(q) = 2*q**2. Determine k(b(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -142*y + 8. Let p(w) = 285*w - 18. What is -9*d(q) - 4*p(q)?\nAnswer: 138*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/30*(-5)\/(-5)*10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 23*u + 123. Suppose 0 = n + 3*f - 1, -2*n - 7*f - 10 = -5*f. Let k be v(n). Solve -b + 7 = k*d, 3*d - 5*b - 29 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + sqrt(76)*-6)**2.\nAnswer: 600*sqrt(19) + 13805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 176 = 32*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38965?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 12. Suppose -17 = -u - y*c, -c - c = -10. Solve u*f - 2 = 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77\/2*(-120)\/1890?\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*p - 36. What is the nearest to 0 in 0.037, -2, p?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, 59, 136, 213, 290?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -176675 divided by 5?\nAnswer: -35335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1059, 2122, 3187, 4254, 5323, 6394, 7467?\n\"Answer: p**2 + 1060*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -82 + (-6 - (-20 + (20 - 6))) + -20\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-532 - -268)*(-56)\/(-308)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j - 2. Suppose 6*s - 9 = -21. Let h(u) = -2*u - 2. Give s*b(x) + 3*h(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -53, -8 in ascending order.\nAnswer: -53, -8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 7. Let h = x + 5. Let t(n) = -6*n + 2. Let m(q) = q - 1. Let y(l) = h*m(l) + t(l). What is y(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59154 + -1123924\/19. Factor 0*j**3 + 0 + 32\/19*j + 24\/19*j**2 - k*j**4.\nAnswer: -2*j*(j - 4)*(j + 2)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**2*u + 59*j**2 - 2*u wrt u.\nAnswer: 3*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7*a - 53. Let i be k(8). Suppose -4*t - 38 = -2*l, -8*l + 3*l + 134 = i*t. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.049 + -26.951. Let z = 32 + p. Which is the third smallest value? (a) z (b) 17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 11:15 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 864, 613, 148, -531, -1424?\n\"Answer: -107*b**2 + 70*b + 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*v + 5*t - 92, 0 = -4*t - 16. What is the highest common divisor of 2398 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 - 72. Let p = 41 + j. What is the third derivative of p*f - 90*f - 18*f**2 - 4*f**5 wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of 201*s**5\/20 - 83*s**4\/12 + 199*s**2 - s. What is the second derivative of p(u) wrt u?\nAnswer: 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + v + (18 + 9 - 36)*(0*v - 2*v - v) + 2*v - v - 4*v)*(335*v**2 - 335*v**2 - 13*v**4).\nAnswer: -325*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - n + 7. Let u be m(0). Suppose -17 = -2*w - u. Let o(z) = -z**2 + 4*z + 6. Let k be o(5). Sort -2, k, w.\nAnswer: -2, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -15*w - w**2 + 0*w**2 - 11 + 11*w**2 + w**3. Calculate the remainder when 96 is divided by l(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40570349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 958755?\nAnswer: 3, 5, 7, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5546267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 7:05 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5279*b = -5273*b + 24 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -545.92 + 546. Suppose -4*k = -5*r + 4, -4*k + 30 + 2 = 4*r. Sort k, z, 0, 2\/3 in descending order.\nAnswer: k, 2\/3, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 451\/82*124\/10571?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a - a**3 + 2*a)*(3 + 2 - 6)*(-4 + 5 - 14)*((-2 + 0 + 0)*(3 - 3 + 1) + 3 - 2 - 5) to the form p*a**2 + l + u*a**3 + s*a and give u.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**5\/20 + c**4\/2 - 5*c**3\/6 + 3*c**2\/2 - 45*c. What is q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-36)\/(-27))\/((-2)\/(-75)). What is the greatest common divisor of 25 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18 - -1.08. Let j = x - 1. Let y = -0.3 - j. What is the third smallest value in 2\/7, -1, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377 + 5*c + 0*c - 4*c + 5*c.\nAnswer: 6*c - 377","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*l + 3*l**2 - 15*l - 4*l + 7 to the form o*l + b + f*l**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/16*12\/(-45)*4\/(-4)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1806491615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 353*k + 435. Is n(32) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 34*m**2 + 24*m - 56. Is y(18) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 2*o - 11 + 19603*o**2 - 19605*o**2.\nAnswer: -2*o**2 - 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y + 2*y + 5*y)*(-2*y**4 - 1 + 1) - 3*y**5 - y**5 + 6*y**5.\nAnswer: -24*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*p**4 - 2*p**2 - 5 - 6*p**3 + 33*p**4 + 3*p + 8*p**3 as f*p**2 + x*p**4 + b + w*p**3 + j*p and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 10 = -0*p + 2*p, 4*p = -3*g - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5) - 32\/10. Let i be (-27)\/(-18) - (u\/(-6))\/(-1). What is the second smallest value in 3\/7, 1\/19, 1\/7, i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - i. Solve i = -f + 2 - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**14)**(-9))**(-2\/121))**16 assuming c is positive.\nAnswer: c**(4032\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2800) + sqrt(2800))\/((sqrt(4) - -2*sqrt(4))*4)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31010331 (base 4) to base 13.\nAnswer: 1b4c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.077 and -132413?\nAnswer: 132413.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -0.06, 0.09, 0, 1 in increasing order.\nAnswer: -0.06, 0, 0.09, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 4)*(-d + 10*d + 2*d)*(-5 + 3 + 1)*(-3 - 1 + 3) to j*d + s and give j.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171\/6*26\/117*-3.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.96 + 0.04. Let j = -297 - -312. Let x be -3*(14\/(-49))\/(j\/(-7)). Which is the closest to n? (a) x (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-23)\/((-161)\/70).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Which is the smallest value? (a) i (b) 1\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9809655*q**4 - 26*q**2 + 27441*q - 2.\nAnswer: 235431720*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - n = 6*c + 13, -21 = -3*c + 5*n. Let d(h) = 2*h**2 - 4*h + 11. Let y(x) = x**2 - 2*x + 5. Let z(a) = -4*d(a) + 9*y(a). What is z(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*m**2 - 23 - 29*m + 21 + 30*m as r*m + f + w*m**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.052798 * 0.1\nAnswer: 0.0052798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n*o**2*s - n*o*s + 40*n*s + 137358*n + 32*o**2 + 36241*o*s - 2*s wrt o?\nAnswer: 4*n*o*s - n*s + 64*o + 36241*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -10*a**7\/147 + 44*a**6\/105 - 38*a**5\/35 + 32*a**4\/21 - 26*a**3\/21 + 4*a**2\/7 - 13*a. Find b, given that k(b) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 25 = 2*p, b = 2*p - p - 10. Let t be (-12 + 4)*(-2)\/4. Solve 0 = t*h + 3 - p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-14) + 8\/28. Suppose -14 = -r + 4*i, 2*i = 2*r + 6 - 16. Suppose -4*q + 8 = -o*q, 5*q = r*h - 32. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020200021220 (base 3) in base 10?\nAnswer: 1194315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19a - -b?\nAnswer: -18b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/4)\/(9\/(-24)). Suppose -g*t = 5*r - 37, 0 = -4*t - 2*r + r + 101. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - ((20 - 9) + -31)) + 39?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**3 - 831*w**2 + 45288*w - 128304 = 0. What is w?\nAnswer: -324, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 6. Let z(n) = -n - 5. Suppose -7*d - 21 = -42. Determine d*z(y) + 2*q(y).\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1 - 4 + 30*p**2 + 10 - 22*p**2. What is the units digit of q(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 10:39 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1652545501 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*3*sqrt(847) - (sqrt(847)*1 + -4))**2.\nAnswer: 1496*sqrt(7) + 244799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4367*r. Let f(n) = -24*n**2 + 14*n + 22*n**2 - 14*n. Give l(f(p)).\nAnswer: 8734*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 21 = -3*j, -3 = 3*d - d + 5*j. What is the derivative of 4*x**3 - 63*x**2 + 63*x**2 - d wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (351\/6)\/39*(9\/3)\/72?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154810.\nAnswer: 2, 5, 113, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 9*f**2 + 11*f + 10. Let b be x(-10). Suppose 0 = -b*s - s + 27. Let h = -17 + s. Calculate the remainder when 19 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5308 + -1003. Suppose 0 = -54*m + 49*m + v. Suppose 0 = -94*g + 91*g + m. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 353 - 337. Determine o so that 50 + 2*o**2 + 6*o**2 + 29*o + 4*o**2 + u*o + o**3 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by -3?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpgpptjttwgttgbwpbbg. Give prob of sequence wb.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 8*a**2 - 20*a + 184. Calculate the least common multiple of t(7) and 124.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/9 - 323\/(-95).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 + -8 - (-6 + 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*((u*u**(-6\/7)*u)\/u)\/u*u*u**(-1\/15)*u*(u\/((u**(-4\/9)\/u)\/u))\/u*u*u**(-4\/7)*u assuming u is positive.\nAnswer: u**(2189\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17970 by -274.\nAnswer: 8985\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) -4\/43 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/13? (a) -19 (b) -1 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1511 = -1501. Let o be (-3 - (-1 - 5))*1. Suppose -5*u + 28 = -o*u. Calculate the smallest common multiple of u and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 389 - 383. Suppose l*h + 17832 - 5226 = 0. What is h rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 17.1. Let j = b - 5.1. What is the closest to 3 in 1, 0.4, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccc. Give prob of sequence cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 7*x - 7. Let l(c) = c + 13. Suppose -17*f + 18*f = -18. Let b be l(f). Let o(g) = -6*g**2 - 22*g + 22. What is b*o(q) - 16*y(q)?\nAnswer: -2*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + g**3 + 3*g**3)*(g + g + 0*g) + 2*g**4 + g**2 - g**2 + 23*g**2 + 22*g**2 + g**4 + 3 - 42*g**2.\nAnswer: 7*g**4 + 3*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -44 and -328716.\nAnswer: -328760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26, 6, -62, -3.3?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2180\/6)\/(5\/15). Let l = y + -514. Suppose 3*f - 3*m - 2694 = -l, -f - 3*m = -694. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 9*m**2 + 7*m + 16. Let c be d(8). Suppose -f - 2*f + 4*p + c = 0, -f + 20 = 3*p. Suppose -f = -q - q. Solve -3*y + q + 5 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 4*l**2 - l + 5. Let p be (-3748)\/(-18) + (-4)\/18. Let c be 1\/(-3) + p\/48. Suppose v = -2*x + 2*v + 10, -c*x = -5*v - 26. Give q(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b380 + 4?\nAnswer: -1b37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**6\/60 - 2*l**5\/15 + l**4\/24 - 3*l**3\/2 + 27*l**2. Is q(-5) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p. Let l(y) = 2021 - 10*y - 2021 + 2*y. Give a(l(t)).\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3741.00002703 + -3741. What is j rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**2 + 0*m**2 - m**2 - 3*m**2 + 2*m**2 + 0*m**2 - 18 + ((2*m + 0*m - m)*(-m - 2*m + 0*m) + 5*m**2 - 4*m + 4*m)*(-4 + 4 - 2).\nAnswer: -8*m**2 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 3, -3.7, 170, 0.3, -5 in decreasing order.\nAnswer: 170, 3, 0.3, 0.1, -3.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 9. Give i(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 9*v - 5*v. Is (66\/55)\/(v\/(-170)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/5*280\/(-84). Suppose -a*k = 2*o - 5*k - 16, -k = 3*o - 19. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 161408808.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 652280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y - 761 = 3*w, 3*w + 2307 = 3*y. What are the prime factors of y?\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10991, 10946, 10895, 10838, 10775, 10706?\n\"Answer: -3*y**2 - 36*y + 11030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440*a + 4105 + 8237 = -858 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 14*u = -34078. What are the prime factors of u?\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580*r = -p + 577*r + 10926, r = -5. List the prime factors of p.\nAnswer: 3, 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15316217\/444 - -34496. Calculate the common denominator of -85\/12 and s.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3303 - -10?\nAnswer: -3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvtttttttttttttttt. What is prob of picking 1 v and 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1047579, -2095154, -3142729?\n\"Answer: -1047575*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8a171 (base 12) in base 11?\nAnswer: -115875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-2 + -2 + 3 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + h + 23. Let m be q(-14). Suppose -535 + m = -5*f. List the prime factors of f.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 14041296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112472441*y**3 + 2483276*y**2 - 8*y?\nAnswer: -674834646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3781 + 18049 = 0. Suppose 7*m - i = 3*m + u, 8 = 4*i. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*a**3 + 16 - 17*a**3 - 19*a**3 in the form q*a**3 + b + n*a + z*a**2 and give b.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -47311900 rounded to the nearest 100000?\nAnswer: -47300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 5*v - 11. Let z(x) = -x - 7. Let t be z(v). What is the first derivative of t - 3 + 1 - 3*b**2 + 2*b**2 wrt b?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = b. Let l = 8 + b. Solve 0 = -l*m - m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3229 + 3251 + (-164)\/2?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 117 + -30. List the prime factors of t.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5*o + 3 + (-2 - 1 + 1)*(-113*o - 58*o + 75*o))*(-3 + 4 + 5 + (-6 + 3 + 1)*(3 - 3 - 2) + 1 - 5 + 2) to y*o + t and give y.\nAnswer: 1576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*l - 26 = 0, -4*h = 10*l - 8*l - 12. Solve 26 = h*o - y, o - 4*y = 6 + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -974665*j**2*t + 2*j*t - 183*j + t + 242 wrt j?\nAnswer: -1949330*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (630\/144)\/(14\/(-8))*(-3)\/15*192.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 7. Let p be l(5). Let y = 20 + p. What is the highest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24542 and 801121?\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*w + 34, -w + 5*t = -17 - 11. Let u be 8\/3*-2*(-15)\/20. Suppose 9*z - 15 = u*z. Is w smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 42 = -4*u. Solve 6 + u = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -3)*(-3 - -2). Suppose c = -3*f, -1 - 11 = -4*p + f. Suppose -60 = -p*g + 138. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4*s**4 - 15*s**2 - 22*s**2 + 40*s**2 as b*s**4 + d*s + h*s**2 + l + w*s**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 16.9 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/75*16 + 11\/6.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10913, 10916, 10919, 10922, 10925?\nAnswer: 10928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 49 + 6*z + 3*z + 9*z - 17*z - 131 to the form a + o*z and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455180 is divided by 220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 > 779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 366\/15 + -2*2\/10. Let f(t) = -34*t + 819. Let g be f(s). Suppose -2\/5*d**4 + 0 + 0*d**g + 0*d**2 + 0*d - 2\/5*d**5 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 2:26 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -26*b**2 + 2*b + 1. Calculate c(-1).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**0\/p)))**(-4\/23)*p**2*(p*p**(-2\/3)*p)\/p)**3 assuming p is positive.\nAnswer: p**(173\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w + w + 74 - 2*w.\nAnswer: w + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjjjjjjjjtjjj. What is prob of sequence tt?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 7477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, c: 5, o: 1, t: 2, h: 8, v: 1}. What is prob of picking 1 v, 1 i, and 2 c?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 153609184 to the power of 1\/2, to the nearest integer?\nAnswer: 12394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -2*k + 3*h + 20, 4*h - 17 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1009947293349 + -0.2.\nAnswer: -1009947293349.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51.5146 - -0.5146. Put -5, -1.4, 2\/7, k in ascending order.\nAnswer: k, -5, -1.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 + 6*s. Let c(j) = 5*j**2. Give b(c(d)).\nAnswer: -100*d**4 + 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2271779 and -5.\nAnswer: -11358895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(5\/7)*i**(-2\/21)*i**(-1\/3)*i*i**0)**6 assuming i is positive.\nAnswer: i**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - -88862?\nAnswer: 88869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/45 + 76\/36*7. Suppose 15 = -3*x, -3*x + s = 4*o - 98. Calculate the remainder when o is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5488*u**2 + u - 1. Let b be q(1). Let d be (b\/10 - 3) + (-5)\/25. Let t = d + 3679. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3364615213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 209\/20 - 41\/4. What is the closest to -7.81 in m, 2, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18b0 (base 15) in base 3?\nAnswer: -21022210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, 5417\/6, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 9 = -d, -2*r + 6*r + 8 = 4*d. Let o = -3 - r. Suppose 5*l - 66 = -4*f + o, 2*f - 8 = -l. Is l a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34675 + 74550. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = -18*a + 23*a. What is the least common multiple of 21 and a?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8319*f**4 + 1525*f + 4?\nAnswer: 99828*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5238301, 5238300, 5238299, 5238298?\nAnswer: 5238297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 2*m**2 - 4*m**2 + 3 - 3 + 2*m**2 + (1 + 5 - 4)*(-2*m**2 - 3*m**2 + 3*m**2) - 69*m**2 - 63*m**2 + 78*m**2 + (6*m + 5*m - 5*m)*(-3*m + 2*m + 0*m).\nAnswer: -64*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172 + -168. Calculate the remainder when 13 is divided by 15\/10*1*o\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -34, -114, -226, -370, -546, -754?\nAnswer: -994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 117 = -3*y, -2*y + g - 40 = -3*y. Suppose -447 = -y*s + 4455. What is the remainder when s is divided by 57?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 - 2\/(26\/273).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2. Let w(t) = -721*t - 1. Give c(w(x)).\nAnswer: -519841*x**2 - 1442*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -635 (base 9) to base 11\nAnswer: -431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 785 * 5022.\nAnswer: 3942270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*k - 6022 + 5758 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -11 - -10 - 3*-1. What is the third derivative of -4 + 4 + 5*a**2 - 33*a**5 - 33*a**c wrt a?\nAnswer: -1980*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3910076.4 rounded to the nearest 10000?\nAnswer: -3910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -2. Solve 0 = v*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2685359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2499966569?\nAnswer: 17, 139, 1057963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -9*r**3\/2 - 3297*r**2\/2 - 302499*r\/2 - 100467\/2 = 0?\nAnswer: -183, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.4 + -4?\nAnswer: 14.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 12:23 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3231618 weeks in microseconds?\nAnswer: 195448256640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = p + 4*p + 4, -5*h - 5 = p. Suppose p = -19*m + 25*m. Let b(g) = g - 5. Let a be b(6). Solve m = -o + 2 - a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2\/7*z + 1\/7*z**3 + 0 - 1\/7*z**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113140284.\nAnswer: 2, 3, 9428357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.99 (b) 2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (1 + 0 - 4). Suppose a = -q - 2 + 1. Sort 2, 4, q in ascending order.\nAnswer: q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67887 (base 9) to base 14\nAnswer: 12684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**4\/9 - 20*w**3\/9 - 44*w**2\/9 + 44*w\/3 - 8 = 0.\nAnswer: -3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -53 + 54.1. Let g = -1.2 + p. Which is the closest to 2\/7? (a) -3 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6 + 3)*(-4)\/6. Let v be (-6 - (d + -3))*-1740. What is v rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-4))\/(w**(-2)*w*w)*(w**(-3\/2))**(-2\/95) assuming w is positive.\nAnswer: w**(478\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 4*g + 5. Let c be w(-5). Suppose c = -0*h - 4*h + 40. What are the prime factors of (-4 + h)*(-2)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41662, -43638, -45612, -47584, -49554, -51522, -53488?\n\"Answer: j**2 - 1979*j - 39684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22\/14 + 75\/(-50). Let n be ((-2)\/6)\/(2\/18). Let v(w) = -w - 4. Let m be v(n). Is m at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c**2. Let z(h) = -147*h. Determine z(p(d)).\nAnswer: 294*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -41 (b) -0.3 (c) -0.4 (d) 0.7 (e) -17 (f) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -34*((-4)\/18 + 23\/(-18)). What is the third derivative of x*s + 0*s**4 - 7*s**2 - 19*s**3 - 50*s + 26*s**2 + s**4 wrt s?\nAnswer: 24*s - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -48049, -192375, -432991, -769891, -1203069, -1732519, -2358235?\n\"Answer: u**3 - 48151*u**2 + 120*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4222775288 to the power of 1\/3, to the nearest integer?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 1\/3 (b) 5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**7*r\/r**1*(r**(-18)*r)\/r**(1\/10) assuming r is positive.\nAnswer: r**(-231\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 334540 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -514*w - 634. Let o be s(-5). What is the highest common factor of 48 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -251 or -9991\/40?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -12510 + 2036. Let z = y - -209537\/20. What is the common denominator of -59\/45 and z?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6671 and 7077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6565746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 4:54 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 3. Suppose 2*m - a*s = 8 + 14, -5*m - 20 = 5*s. Let u be 0 + (-2)\/((-6)\/m). Which is greater: u or 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*m**4 - 3 - 3*m**4 + m**3 + 0)*(-m + 2 - 2).\nAnswer: -4*m**5 - m**4 + 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - 23?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3517 + -2683. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16944, 37470, 57996, 78522, 99048?\n\"Answer: 20526*b - 3582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-53 - -22 - -38).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -320.\nAnswer: -7\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9364b (base 13) to base 6\nAnswer: 5401313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/11 (b) -2 (c) 3\/8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:53 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 6. Let q = h + -15. Let t be (-2)\/4*2*q. What is the highest common divisor of t and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 332397 - -1560602. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 399\/3956 - 7974349\/3501060. Let p = -10\/177 + r. Find the common denominator of p and -95\/132.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-21 + 12 - 13) - (15 - 7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40\/47 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 17*y**4 - 72*y**3 + 47*y**2 + 342*y + 242. Let v(a) = 9*a**4 - 36*a**3 + 23*a**2 + 170*a + 122. Let f(p) = -5*r(p) + 9*v(p). Solve f(k) = 0 for k.\nAnswer: -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/11 and (22\/180 + 6\/(-27))*-109.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/438213 and 5\/1659?\nAnswer: 3067491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (-47)\/2 - -17\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 39*u + 255. Is 22 a factor of t(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 22*v**2 - 93*v - 52. Determine i(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2. Let o(g) = -26*g - 5 + 16 + 9*g + 13*g. Calculate o(y(a)).\nAnswer: 4*a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5351\/1980 - 1\/396. Calculate the common denominator of 99\/10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750470 divided by 14.\nAnswer: 53605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 4 = 4*n, 30 = 2*d + 5*n. Suppose -414 = d*m + 2*b, 5*m - m + 4*b + 336 = 0. Let v = m + 87. Solve -5*t = -10 - v for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 795898.\nAnswer: 2, 47, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 10362.\nAnswer: -29\/10362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-14*25\/3150)\/((-10)\/(-6))\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -0.8. Let v = 0.1 - -0.1. Let p = v - 0.1. Is p >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 244868 by 2.\nAnswer: 122434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14405 = 4*s + s + 4*k, -s + 2895 = -2*k. Suppose s = 3*j - 1810. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = -v - 7. Let a = -486 + v. Factor 0 + 4\/5*q**3 + 0*q + 2\/5*q**4 + 0*q**2 - 2\/5*q**a.\nAnswer: -2*q**3*(q - 2)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + (-28)\/12)\/(2\/9). Solve -w + 8 = o*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**3 - 3. Let m(k) be the second derivative of 1\/5*k**5 + 121*k + 0*k**4 + 0 - 2*k**2 + 0*k**3. Give 3*h(y) - 2*m(y).\nAnswer: 4*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-5031)\/(-180) + 29\/580.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5180, 9959, 14738, 19517, 24296?\n\"Answer: 4779*i + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 10 - 20. Sort -9, -3, 0, s, 4.\nAnswer: -9, -3, s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*n - 26 = 0, 0 = 3*k + 2*k - 5*n + 15. Let x = -7 - k. Let q = x - 4. Which is the second smallest value? (a) q (b) -4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**4 + 2495*p**3 + 71310*p**2 + 447680*p - 1200640 = 0.\nAnswer: -469, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2) + (2*sqrt(288) - sqrt(288)))**2*5.\nAnswer: -390*sqrt(2) + 1735","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3016779312?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 984353 a multiple of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 10:22 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u - 1. Let l(h) = h**2 + 5*h. Let p be l(-5). Is u >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1589*r**2 - 3567*r**2 + 23439*r**2 as y + n*r**2 + a*r and give n.\nAnswer: 18283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 299 + -4?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/((-1)\/1*6*15\/(-90)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17713.113 months?\nAnswer: 147.609275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102001202 (base 3) to base 9.\nAnswer: -42052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (3 - 4) - 28. Let h be ((-36)\/x)\/(-2 - 12\/(-9)). Let r(f) = -3*f + 6*f**2 - 4 + 1 - 4*f**2. Determine r(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*l + 44 = 0, l + 38 = 3*b + 5*l. Let t be (32\/b - 2)\/(6\/(-10980000)). What is t rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -427647, -853479, -1279311, -1705143?\n\"Answer: -425832*h - 1815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -18094*o - 1411. Let i(v) = -77*v - 6. Determine 1411*i(x) - 6*u(x).\nAnswer: -83*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*i + 1137, j - 2*j = -3*i - 235. What is the units digit of j - (0\/(-3) + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5127 is divided by 1673.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -35. Let s be 6 - 4 - (-3)\/q. Let d(b) = -b**2 + 6*b - 2. Determine d(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 8:22 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**2\/2 - 78095*b\/2 + 33656805 = 0. Calculate b.\nAnswer: -16438, 819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 3, 23, 8.\nAnswer: -1, 1, 3, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - -5 - (-2 + 6). Suppose 2*r = n + n + 10, r + n + q = 0. Which is the fourth smallest value? (a) -4\/3 (b) -5 (c) r (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 19. Suppose -18 = 2*c + c - 3*i, 0 = -3*c + 4*i - 19. Let g = c + o. Solve g*w - 8 = s, -2*s - 32 = -4*w - 6*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*m + 9 = 0, -z + 5*m - 12 = 5. Calculate the common denominator of (-4 + (-444)\/(-114))*(0 + z) and (93\/4)\/((-36)\/(-32)).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - m**2 + 4*m - 3. Let l be d(5). Calculate the greatest common factor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108.1 - 100. Let s = h - 8. Let w = -5.1 + s. Sort w, -4, 4.\nAnswer: w, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) -4 (c) -91040 (d) 2 (e) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-528)\/36 - 8\/6. Let m be (-7)\/(-448)*8 + (-1678)\/d. Which is greater: m or 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 621*h**2 - 118*h + 119. What is x(1)?\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 2*i**2 - i. Let q be m(-2). Sort -3, q, -1.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**5 + 0 + 0 + (-4*w + 6*w - w)*(-3*w**4 + w**4 + 3*w**4) + 139*w**5 - 20*w**5 + 833*w**5 + (-1 - 1 + 4)*(-w**5 - w**5 + 4*w**5).\nAnswer: 955*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135359 - -5236.\nAnswer: -130123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -u**4\/12 - u**3 + 15*u**2\/2 - 37*u. Let n be (-10 - (-4 - -3)) + 2. Determine s(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36840 + -0.6.\nAnswer: -36840.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -4\/5 (c) 2381 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -5 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 250200 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*k - 7*k - 146261 = 0. Calculate the greatest common divisor of k and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/sqrt(2)*4)\/(sqrt(450)\/sqrt(5)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1048089 and 8526?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13483 + 17745. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-33 + 14) - 18 - (-6 - 5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -13 - ((-39 - 45) + 76)) + (2 - 82)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -156*d**2 - 937*d - 4. Let t be p(-6). Put 3369, t, -2\/9 in descending order.\nAnswer: 3369, t, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 9*d**3 + 20*d**2 - 105*d + 5353. Is o(39) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z + 231 = 0. Suppose -2*r + 0*r + a - 52 = 0, 3*r - a + z = 0. Let k = -13 - r. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3 = -2*k, 0 = -3*k + 12*x - 7*x - 7. Let i(a) = 3*a**3 + 13*a**2 + 5. Calculate the remainder when 881 is divided by i(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79938017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - e8c0?\nAnswer: -e8bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5206 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 4. Let k(y) = y**2 - 2*y + 2. What is the remainder when 3 is divided by k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d*l**3*y + d*l**3 - 4*d*y - 15*l**3 + 14*l wrt l.\nAnswer: -30*d*l*y + 6*d*l - 90*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -18*k**2 + 266*k + 51. Give o(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 10616*a**3 - 6*a**2 - 3*a + 11362. Let x(w) = 8*w**3 + 2*w**2 + w + 1. Let j(s) = r(s) + 3*x(s). Differentiate j(v) wrt v.\nAnswer: 31920*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 257128. Let q(r) = 3*r. Determine q(m(s)).\nAnswer: -3*s**2 - 771384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 401 + -398. Suppose t*s + 6 = 0, -4*s + 36 - 44 = -5*v. Factor -70\/3*j**3 + v - 4\/3*j - 34\/3*j**2.\nAnswer: -2*j*(5*j + 1)*(7*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 0, -5\/2.\nAnswer: -5\/2, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0*q)**19*((q*q**0)\/q)**(-7))\/((q\/q**0)**45\/(q**(-2)\/(q\/q**1))) assuming q is positive.\nAnswer: q**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 1. Let o(f) = f**3 + 9*f**2 + 7*f + 10. Let l be o(-8). Let z be (-1)\/(-6) - 39\/l. Let a be x(z). Put a, -2, -1 in decreasing order.\nAnswer: -1, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*y + 272*y - 1166*y + 347*y + 279*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75 - -3168?\nAnswer: 30d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 150737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, m: 5, t: 1, d: 1}. Give prob of picking 1 s and 3 m.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 9*o - 4. Let i be g(7). Let d be 1\/(-2) - i\/(-4). Suppose -3*v - 4*s = d, 4*v - 5*s = -v + 20. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j + 73. Let y(s) = -4*s**2. Give y(k(i)).\nAnswer: -400*i**2 + 5840*i - 21316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c - 4*c + 2*c)*(-c**3 + 0 + 0) - 4*c**4 + 4*c**4 - c**4 - 4*c**4 + c**4 + 0*c**4.\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - 2*z**2 - 2*z**3 + 8*z**2 - 4*z**2 + 24 to the form s*z**3 + h*z + w + v*z**2 and give w.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from cbaox.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 - 6*o + 2. Let l be a(4). Let p(q) = -q**2 + 3*q + 2*q**2 + 2 - l*q. Let k be p(8). What is k rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4*v**3 - 23560*v**2 + 119834428*v - 116122435184 = 0.\nAnswer: -9404, 1757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence heee when four letters picked without replacement from {u: 2, h: 2, e: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o + 14. Let y be j(6). What is the second derivative of 6*d + 7*d**y - d - 4*d wrt d?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10611 or 10612?\nAnswer: 10612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/7)*n\/(n\/n**(-2)*n)*n*((n\/n**(-6))\/n)\/n*n*n\/(n*(n*n**(-2)\/n)\/n))\/((n**1)**(-3\/5)*((n\/n**(-1\/2))\/n)**(-15)) assuming n is positive.\nAnswer: n**(1087\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**5 + 400*l**4 + 6224*l**3 + 18240*l**2 = 0.\nAnswer: -10, -4, 0, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 894, 905, 930, 975, 1046?\n\"Answer: y**3 + y**2 + y + 891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 110*d + 1524. Determine a(-17).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - 0) + (-186)\/(-3) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 592776, 6, -15\/4 in descending order.\nAnswer: 592776, 6, 3, -15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.9 + -5. Let m = 0.3 + q. Which is the closest to m? (a) -0.3 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.025 - -0.515. Let g = p + -0.34. Which is the second biggest value? (a) 33 (b) g (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1997 + 302 - 718 = 127*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((1 - (-1 - 2)) + 3 + -16).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)*-2 + sqrt(38))\/sqrt(2)*-2.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 4 - 2)*(-1 + 0 + 0) - 4 - 3 + 6 - 1 + 1 - 2)*(165 - 88 - 50 + 21*s**2) in the form l*s + h + k*s**2 and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -1\/21*g**7 - 46\/3*g**3 + 0*g**5 + 0*g**6 + 0*g**2 + 0 + 182*g + 7*g**4. Find the second derivative of o(m) wrt m.\nAnswer: -40*m**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17070112 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 25. Let p = -0.31 - -2.41. Let g = p + -2. Does g = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 + 12889406799.\nAnswer: 12889406802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 10*l + 6. Let f be ((-30)\/(-75))\/(2\/30). What is z(f)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 12041.\nAnswer: -24\/12041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15159 and 6107?\nAnswer: 2986323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8704733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11\/8*u + 10 - 1\/8*u**2.\nAnswer: -(u - 16)*(u + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -6 - (-1 + -6). Let n = 44 - 39. Suppose 5*t = g*d + 6*t + n, 0 = -4*d - t - 5. Put -5, -2, d in descending order.\nAnswer: d, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 6) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 1870968*j + 11225804. What is d(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - f - 3. Let w be r(-4). Let h = 29 + -12. Calculate the greatest common factor of h and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.21 - -0.31. Let o = -2.92 - -3. Is z at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2138189, -2138181, -2138173?\nAnswer: -2138165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 66 = -14*l. Calculate the highest common factor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 4:51 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2017666 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20 - 20 + 5*a**4 + (-3*a**3 + 0*a**3 + a**3)*(-3*a + 4*a - 2*a) + 4*a**4 - 4*a**4 + a**4.\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -6*p - 551. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -997, -1991, -2985, -3979?\n\"Answer: -994*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 6*s**2 + 8*s + 10. Let g be f(-7). Suppose r - g - 1 = 0. Solve c - 5 = j, -8 = -r*c - j + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(189)*-2*2*6)\/(sqrt(768) + sqrt(3) + 1*sqrt(147)))**2.\nAnswer: 6*sqrt(7) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**2 + 1072*m - 1076 = 0.\nAnswer: -269, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**5\/90 + 89*u**4\/6 + 1064*u**3\/9 + 6*u**2. Factor k(j).\nAnswer: 2*(j + 2)*(j + 532)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*z**5 - 185*z - 29645*z**3 - z**2 - 7*z**5 + 29649*z**3 wrt z.\nAnswer: 1560*z**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 14910*y + 5311. Is p(44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 12*m = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 104, 169, 290, 485, 772, 1169?\nAnswer: 1694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 29, 3849, -0.026, 3 in decreasing order.\nAnswer: 3849, 29, 3, 2\/9, -0.026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/4, 2\/7, 5, 1\/61, 1\/32, -1\/3 in decreasing order.\nAnswer: 5, 2\/7, 1\/32, 1\/61, -1\/3, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165 - (-18)\/(-24)*(-64)\/(-12) is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/((-26875)\/(-86)) - (-454)\/(-50)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21.8 + -24. Let k = -1.9 - p. Sort -7, 0.1, k.\nAnswer: -7, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -96*x + 11*x - 73*x + 2604*x**2 - 2602*x**2. Let l(z) = z**2. Calculate v(l(i)).\nAnswer: 2*i**4 - 158*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*t + 8 = -175*t. Solve -t*r + 4*u = 2*u + 2, 5*u = r - 13 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*j + 10 = -2*k, -2*k - 3*j = 0. Does 10 divide 3\/(k\/(-4)) - -108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - 14*b - 5. Let z(l) = -2*l + 3. Suppose 3*d + 3 = -9. Let u be z(d). Is j(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -r - 0*r + 3*b, 0 = r + b - 6. Suppose -d - 4*d = h - 421, r*h = -4*d + 1748. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r - 5. Let d(i) = -2. Determine -4*d(n) + 2*o(n).\nAnswer: 8*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c = 3*h + 12, 4*h + 16 = 2*c. Let d(q) = q**2 - q - 1. Let z be (-2)\/4*(6 - 2). Let s be d(z). Solve s*i + 5*k - 5 = c, i = -4*i - k - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*l + 669999 = 698657 for l.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1302, -1294, -1274, -1236, -1174, -1082, -954, -784?\n\"Answer: j**3 + j - 1304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/21 - 3\/7. Let p = 9 - 8.8. Let o = p + -0.5. Which is the closest to i? (a) o (b) -0.2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1437 + 1550 + 1590 + 1526 - 6313 + s**2 - 21*s.\nAnswer: s**2 - 21*s - 210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263693947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 + -0.7628. What is y rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -251652 divided by -41942?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 64 = 18*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 207 + -0.0318506844.\nAnswer: 206.9681493156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-22)*1 - (2757780\/(-15840) + 174)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.8 + -61.2. Let c = -66.02 - l. Let k = c + 0.02. Sort k, 1, -0.3 in decreasing order.\nAnswer: k, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(637) + 1 + (1*sqrt(637))**2 + 2 + sqrt(637) + 3 + 3).\nAnswer: 70*sqrt(13) + 3220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/(1\/24). Suppose -2*z + 3*d + 0 - 15 = 0, 0 = z + 2*d - 10. Let l = g - z. Solve l = -3*r - 3 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3700 <= 4858?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 34255000 to the nearest 100000.\nAnswer: 34300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315 is divided by 51?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o\/(o*o**(1\/3)))*(o**(-16)*o)\/o assuming o is positive.\nAnswer: o**(-47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - 3.43. Let s = f + -0.5. Let d = -103\/91 - -9\/7. Sort s, d, -5 in ascending order.\nAnswer: -5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1257.00541 - 1257. What is w rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/5, 8\/3, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i - 127595 = -667233. What are the prime factors of i?\nAnswer: 11, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 - 2*y**2 + 13*y**2)*(25 - 24*y - 25)*(-17*y - 10*y + 20*y).\nAnswer: 672*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352226169?\nAnswer: 3, 67, 263, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*s**3 - 2*s**3 + 122*s**3.\nAnswer: 191*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46385436 and 21300.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2018*d**3 - 672 - 5*d + 124 + 292 + 2*d - 2*d wrt d?\nAnswer: -12108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 57 = r, -6*r = -3*r - 6. Let q(m) = 6 - 6*m + 10*m - 3*m. Calculate the smallest common multiple of q(5) and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 + 11274*g\/5 + 386568.\nAnswer: 2*(g + 177)*(g + 5460)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 17551 = 10229. What is n rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (16 - 34 - 1) + 22 - (-7 + -2)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 1*-5 - 0. Let o be (3\/(-6))\/(2\/(-12)) + 3. Suppose -n - 6*y - 9 = -y, 4*y = -2*n - o. Put w, n, -1 in decreasing order.\nAnswer: n, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y**3 - 12*y**3 + 9*y**3.\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -1\/4, -39, -2\/3, 2, -4, -0.0547?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1 + sqrt(2) - sqrt(2)) + -2 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:25 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 184 divided by -46\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-190)*(-7)\/(154\/55).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j = 0. Suppose -3*b - 4*p + 40 = 2*b, j = 2*p + 10. Let q = -19 - -53. Calculate the remainder when q is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + w = -w - 7, 0 = -2*g + w + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -111. What is the lowest common multiple of f and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 10:39 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k - 149 = 4*z, -55 = 2*z - 5*k. Let r = z + 116. Suppose 5*w = 184 + r. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2460 and 369?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 30 = -2*t. Let j(y) = 3*y**2 - 4*y + 1. Is j(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*m**3 + 0 + 4\/13*m**2 + 6\/13*m.\nAnswer: -2*m*(m - 3)*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*v = 17, 2*y - 2*v + v - 39 = 0. Suppose 3*s - 8 = -0*b + b, -2*s = 3*b - y. Solve 0 = -5*g + 2*u - 31, -3*g + 0*u - s*u = 3 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -342732 - -5?\nAnswer: -342727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -17*n - 139. Calculate s(-11).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 579*x**3*y**6 + 23*x**3*y**3 - 3*x**3*y**2 + 2346*x**3 wrt y.\nAnswer: 69480*x**3*y**3 + 138*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3769 is divided by 920.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6647)\/85 + (-8)\/10. Let f = v - -107. Let y = 8 + f. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 772267 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20))**2*-3 - ((sqrt(5)*-5 - sqrt(5)) + 2).\nAnswer: -62 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b - b + 4*b)*(-4*b**2 + 3*b**2 + 3*b**2) - 7*b**3 + 28*b**2 - 28*b**2)*(-4*b + 3 - 3) - 2*b**4 + 4*b**4 + 0*b**4.\nAnswer: 22*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3\/2, -2\/19968571 in descending order.\nAnswer: -2\/19968571, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19892712?\nAnswer: 2, 3, 7, 118409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ifiikikikikkfakkkfk.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2219.3128659 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14536?\nAnswer: 2, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6495*r - 511*r + 592368 = 695*r for r.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 22, 41, 66?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154967.\nAnswer: 353, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15.2 + 15.2. Put z, -16, -1\/2 in descending order.\nAnswer: z, -1\/2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5669*w - 5667*w + 667 = -25*z, z + w = -23 for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j + 0*j + 0*j + (2*j + 7 - 7)*(-3 + 3 - 2))*(-99 - 30 - 108) in the form x*j + s and give x.\nAnswer: 1422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11616 + -11583. Sort -2, -16, n in descending order.\nAnswer: n, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8332.51 and -1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 0*v - 2*v + 2*v + 2*v. Does 6 divide f(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2))**(2\/23)\/(w*((w**(2\/23)\/w*w*w)\/w*w)\/w*w**19) assuming w is positive.\nAnswer: w**(-463\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 1. Let n(p) = -5*p**3 + 4*p**3 + 6*p**3 - p**2. Let d be n(f). Which is the second biggest value? (a) d (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5228 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0*t)\/t**(1\/88))\/((t*t**(-4)\/t)\/(t\/t**(-35))) assuming t is positive.\nAnswer: t**(3607\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25939, 52291, 79057, 106237, 133831?\nAnswer: 161839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k*k**(-1\/3)*k))\/k*k)**0*((k\/(k**0*k))\/k)**(-2\/89))\/((k**(-2)\/k)**(-10)\/((k*k\/(k**4\/k*k))\/(k*k**(3\/8)))) assuming k is positive.\nAnswer: k**(-23747\/712)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3110220 (base 4) to base 6\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-111)\/42*-2 - 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23301 + 3?\nAnswer: -23232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -2 - (-6 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*j = 178*j + 76. Solve 0 = 2*b + 5*o + 14 + 6, j*b = -3*o - 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -642 + 641. Let i = -0.17 - -0.17. Sort -2\/5, i, a, -4.\nAnswer: -4, a, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372\/(-24552)*-30*1*14\/(-7).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h - 28 + 28 as r + n*h and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 3*s - 52 - 13, -s = 5*z - 261. Let o(n) be the first derivative of -z - 8*n - 52 + 103 - n**4. What is the derivative of o(v) wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82313 is divided by 128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -16348?\nAnswer: -16350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 4*g + 16, 5*s - 2*g + 0*g = -8. Solve s = -a - 3 + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 30269*v**2 - 30259*v**2 + 2*v.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 331*k - 4803. Determine y(15).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**4 + 8*a**3 + 396*a**2 - 1232*a - 3920 = 0. Calculate a.\nAnswer: -10, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7621\/2 + 3684. Is h less than -127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 240, 286, 332?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25049574 times 3?\nAnswer: -75148722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 4)*(-2*z**2 + 0*z**2 + 0*z**2) + 7*z**2 - 3*z**2 - 3*z**2)*(3*z**2 - 4*z**2 + 3*z**2).\nAnswer: -14*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -414*d + 413*d + 4, d + 8 = 4*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110 + 101?\nAnswer: 2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60, -255, -578, -1029, -1608?\n\"Answer: -64*j**2 - 3*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 3*n - 2*g, -5*n + 4*n - 4*g = -108. Let s = n + -104. Solve -y - 12 = -s*u - 5*y, -y - 5 = -u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 12. Let o = 4 - q. Solve 2*s + o*y = -2*s - 12, 12 = s - 3*y for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(4032) + sqrt(63) - sqrt(1575)*-5 - (((sqrt(84) + 1*sqrt(84) - sqrt(84) - sqrt(84))\/sqrt(2))\/(sqrt(726)*-2 + sqrt(726)) + 2))**2.\nAnswer: -816*sqrt(7) + 72844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (5 + (2 - 7) - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4613215 not equal to -4613216?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 294 and 882?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.2 + -20. Which is the nearest to -1\/3? (a) 2\/5 (b) t (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 651221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 + ((-18)\/(-8))\/((-15471)\/(-516) - (92 + -62))\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2474 times -2\nAnswer: -4948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84790 + 8.\nAnswer: 84798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*((w**(1\/14)*w)\/w)\/w*w\/w**(8\/5) assuming w is positive.\nAnswer: w**(-37\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4412163901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 1, c: 1, b: 1, d: 1}. Give prob of picking 1 b and 1 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(3*z**3 + 0*z**3 - 2*z**3) + (0*z - 3*z + 2*z)*(-14*z**2 - 26*z + 26*z).\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -330\/113 + -39708\/565. Let u = p - -1159\/20. What is the common denominator of u and -3\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -677.07 to the nearest 10.\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c - u + 4, -28*u - 16 = -32*u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1290 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -56*j + 1124. Let f be k(20). Solve -f*n - 13 = -21, 2*o - 5*n + 2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103103 - -23022?\nAnswer: 1132131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (133\/(-14))\/(2\/(-8)). Calculate the smallest common multiple of l*(-150)\/(-20)*(-2)\/(-5) and 22.\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022020 (base 3) in base 5?\nAnswer: 12301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15022 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15996)\/992 - (-5 - 11)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 - j**2 + j**2 + j**2 + 4 - 4 - j**2 - 2*j**2 + j**2 + (-j + 5*j - j)*(j - j + j))*(227*j**3 - 4473*j**2 + 4473*j**2).\nAnswer: 681*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - 4\/(-6)*3) + 5. Let c be 13 + ((-12)\/3 - -1). Suppose 2*a - 20 + 2 = 5*n, 3*a - c = -n. Solve -4*b - 14 = -v*x, -b + 4*b = -5*x + a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -3*t + 28. Let q be -1 + 0 + (6 - 3) + (65 - 2). Let h = t - q. Which is smaller: h or 9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, -9, -25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20 + -363404?\nAnswer: -363374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -24716b?\nAnswer: 247170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 6, 6*n - 4*n + 9 = q. Let h be 0\/7 - q - -68. Suppose 3*m - 21 - 18 = 0. What is the highest common divisor of m and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, w: 8}. What is prob of sequence wwv?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14428, -14429, -14430, -14431, -14432?\n\"Answer: -r - 14427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 23*i - 63*i**3 - 106 + 100*i**2 + 21*i - 4*i**4 - 4*i + 23*i**3 + 10 = 0.\nAnswer: -12, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2777, 0.3, -5\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 581574 and 5164931.\nAnswer: 216927102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 2*k - 2*n + 19, -k - n + 8 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 101*b**2 + 1113*b - 327. Determine l(111).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 13*s + 1. Let r be h(-14). Let j be (1 + -2)\/(-1) + 44. Calculate the highest common factor of j and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-15)*b**(-2\/17)*b*(b**(-18\/5)*b)\/b*b**(-2\/13)*b assuming b is positive.\nAnswer: b**(15612\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l = 10*r + 81*l - 25*l - 8, 5*r + 4*l = -2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556683 = -4357*x + 62011 for x.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 225 + -218. Solve 5*t - 3*r = i, 3*t - 6*r - 5 = -4*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.8 and -143679?\nAnswer: -114943.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*w**2 - 10*w**2 + w**4 - 5*w**2 - 4*w**3 to the form q*w**3 + v*w**2 + t*w**4 + d + b*w and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2126, -2, 3, 113 in decreasing order.\nAnswer: 113, 3, 1\/2126, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b. Let n(z) = -52*z. What is n(k(q))?\nAnswer: -52*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00710609 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -17. Let b be (-8 - -22)\/(d\/(-2)). Suppose 0 = b*t - 218 + 64. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, s: 4, v: 5, t: 2, k: 1, n: 2}. Give prob of sequence nkvs.\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddckcxcdddk. What is prob of sequence dd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 r when three letters picked without replacement from uuuurururuu?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q + 1410. Let m = 2674 - 2668. Calculate the greatest common factor of m and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 472 and 1233100.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/5741240?\nAnswer: -1\/5741240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (63\/(-18) - -2)*82\/3. Calculate the common denominator of z\/984*166*1 and 139\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-8))\/((-2)\/8). Let t be 7*6*m\/(-21). Is 15 a factor of ((-70)\/4)\/5*t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 - 37 + 47)*(-2*g - 2*g + 0*g) - g + g - 2*g in the form y + d*g and give d.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*c*z**2 + 182*c*z - 18639832*c - 955*z**2 - 2 with respect to z.\nAnswer: 74*c*z + 182*c - 1910*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - 5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - h - 118 = 3*v, -2*h = -4*v + 160. Calculate the highest common divisor of v and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 4*g**3 + 0*g**3 + 3*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-8)\/18 - (-3)\/(-9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 38 = -g. Suppose -4*k = -4*p + g, 7*k - 2*k = -4*p + 48. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 3*k - 3*k + 6. Let i(p) be the first derivative of 3*p**2\/2 - 17*p + 2. Give 6*i(d) + 17*w(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqoyy. Give prob of sequence soq.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d**2 - 263*d. Let y(h) = -14*h**2 - 790*h. Give -8*j(x) + 3*y(x).\nAnswer: -2*x**2 - 266*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q + 56. Let h be n(-27). Let a be 2\/(-1) + 0 + -34. List the prime factors of a\/(-3) + h\/(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107787997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**5\/12 - 17*y**2. Let c(s) = 3*s. Give c(f(z)).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5875 + 5?\nAnswer: 587a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 137004?\nAnswer: 1507044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((3*(1 + sqrt(99)) + -5)**2 + (5*sqrt(99)*-1*-3)**2)*-2.\nAnswer: -46335 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 27\/4544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 347.2\nAnswer: -345.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5445543 to the nearest integer?\nAnswer: 2334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 5. Let f(h) = 843*h**2 + 2*h + 5. Is f(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 455897728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33407904 by -48.\nAnswer: -695998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -101.03 - -11.23. Let y = -90 - d. What is the closest to 0.3 in y, -4\/3, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.5, -2\/9, -4, -7\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8389 - 21011 = -392*z - 196*z for z.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c + 0*c + 323 + 4*c + 0*c - 2*c in the form t + z*c and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/28, 99.3, -6, -1, -0.4 in descending order.\nAnswer: 99.3, 0.1, 1\/28, -0.4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8413*r + 8421*r - 16842*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/3)\/(22\/44).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(0 + (-2)\/(-504)). Let s = 511 - t. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s - 4225 = 2*s - 403*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (-59 - -2) - ((-4 - -4) + -12) - 4.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1555*d**3*i*k - 257*d**3*k + d**3 + 27*d**2*i*k + 504*d**2*i - d**2 + 3*d*i - d*k + 2*d wrt d.\nAnswer: -9330*i*k - 1542*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-10 - (-16 + -16 + 24))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*f - 5*s, -17 = -f - 4*s - 6. Solve 0 = -a + 3*a - 2*v - 12, -2*a - f = v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53276 and 66272.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/3)\/(-6 + -6)*-4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276 = -h + 20*v, 5*h - 386*v + 6 = -385*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2\/6297, 0.08, 0.05?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -43.\nAnswer: -5\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 25*v**2 + 7*v - 70. Let j(m) = -17*m**2 - 6*m + 69. Determine -4*f(g) - 5*j(g).\nAnswer: -15*g**2 + 2*g - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*2*-3)\/(sqrt(12)\/(4*sqrt(2))).\nAnswer: -24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 8:50 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 + 0.97.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111110000 - -101?\nAnswer: 100111110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 10:35 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/1*235\/(682440\/2112).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 408 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o*w**3 + 3*o*w**2 + 3*o*w - 8*o - w**3 - 426*w**2 - 39*w - 29 wrt w.\nAnswer: -18*o*w + 6*o - 6*w - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42453?\nAnswer: 3, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58471555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 61178 divided by -4\nAnswer: -30589\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbykbyybykb. Give prob of picking 1 b and 3 y.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 10*w + 8*w - 983*w**2.\nAnswer: -983*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12*(1 - 6\/9). Suppose -n*c = -3*u + 3, -5*c + 3 = -5*u + 8. Suppose -f = -c*f - 2. What is the remainder when 2 is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - i - 1. Let c be (-1 - (-6)\/4)*8. What are the prime factors of z(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, w: 6, b: 3}. Give prob of picking 3 w.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v + 13*v - 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 11 = -3*o, l - 2*l + o = -2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1709, -3418, -5127, -6836?\nAnswer: -8545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.6 + 11.54. Suppose 3*z = z + 2. Which is the closest to z? (a) -1 (b) q (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1)*w)**21\/(w\/(w*w**(1\/3)))**(-9) assuming w is positive.\nAnswer: w**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -412 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szsetgtp. What is prob of picking 1 s and 1 g?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2300966 and 5198.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.16 - 0.16. What is the fourth biggest value in -1\/6, l, -2, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:46 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3578850 by -108450.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 2:00 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14924256.\nAnswer: 2, 3, 155461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 47480000 to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/((-128)\/(-208)*65)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -21751, -21753, -21755, -21757, -21759?\n\"Answer: -2*v - 21749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1706924*y - 432848 wrt y?\nAnswer: -1706924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16847047?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - h + 12. Suppose 0*p = p. Suppose 2*g + 13 = b, p = 4*b + g - 4 - 3. Solve 3*q + b*r = 3, -3*q - 13 = -h*r - 2*r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 40976 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3*1))\/((-1330)\/(-67830))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 1:01 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209993 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6111871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -46*a + 45*a + 4*o, 0 = -a + o - 5. Solve 0 = -x, 4*k + a*x - 8 = 5*x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 2 = 2*g, w = 5*g + 75 - 92 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1480 and 115810.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/13)\/z)\/z**(8\/5)*(z\/z**16)\/z**(1\/32) assuming z is positive.\nAnswer: z**(-36993\/2080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y. Let i = 255 - 254. List the prime factors of p(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(847)*-1*5 + -3 + -1 + sqrt(847)) - (-2*1*-1*(sqrt(847) + 1 + sqrt(847) + sqrt(847)))**2.\nAnswer: -30472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -151, -265, -485, -847, -1387, -2141, -3145?\nAnswer: -4435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*t**2 - 367\/7 - 366\/7*t.\nAnswer: (t - 367)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 0*v + 5 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*s = -18*s + 505*s. Which is the fourth smallest value? (a) -0.08 (b) 25 (c) 2\/5 (d) 3 (e) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 + 4*s + 3. Let l be r(4). Suppose -4*a + h - 8 = -0*h, 16 = -4*h. Let x = a + l. Solve -2*o + 9 = 5*k - 11, x = 5*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*s - 3454 = 2*k, -k = s - 1729. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-16)*46*-106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -0*u. Let w = u - -1. Suppose h - 19 = -w*y, 72 = 5*h - 0*y + 2*y. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 3, l: 3, c: 5, a: 1}. Give prob of sequence cg.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85562 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.309291ml in litres?\nAnswer: 0.003309291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5352 or -13330?\nAnswer: -13330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.8 - -5. Let p = 1 + z. Let a = p + 1.1. Round a to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -762 + 783. Solve 2*l - o = 5*l - 13, 0 = -3*l + 3*o + u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**3 - 2*b**2 + 2*b**2 + (2*b - 3*b + 0*b)*(2 + b**2 - 2) + (-6*b**2 + 24*b**2 + 2*b**2)*(2*b + 0*b + 0*b) to y + p*b + z*b**2 + j*b**3 and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8 + 5109\/624)\/(2\/32). Solve 14*c - 12*c - 8 = -4*y, 0 = -o*y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = r - 2*m + 2, -3*m = -5*r + 43. What is the greatest common factor of r and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ungggqguqgga. Give prob of sequence ggq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12310924914*t**2 - 6155462452*t**2 - 6155462464*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8571451 is divided by 8571440?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 146 - 74 - 16*g**3 - 2*g)*(0 + 0 - g**2).\nAnswer: 16*g**5 + 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4\/6 - 2*k. Let h(d) be the first derivative of -47*d**2\/2 + 1544. What is h(b(y))?\nAnswer: -94*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2790 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 0*r + 1\/6*r**4 + 1\/10*r**5 + 0 - 5*r**2 - 1\/6*r**3 + 1\/120*r**6. Determine f(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, 3, 0.01, 0, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4130 is divided by 1375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 32*q**2 - 13*q - 36. Let v be f(-7). Let z = v - 594. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -11 - (0 + -19).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*4)\/(16\/24). Suppose 0 = -2*i - y, 0*a + 3*i + 34 = -5*a. Let b(f) = 3*f + 4. Calculate b(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 plus -1308693036?\nAnswer: -1308692795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1\/a**7*((a\/(a**(2\/11)\/a))\/a)\/(a*a**(2\/3)\/a*a))**43 assuming a is positive.\nAnswer: a**(-9718\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1704, -3819, -6222, -8913, -11892, -15159?\n\"Answer: -144*q**2 - 1683*q + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 12*q - 20. What is j(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 12:40 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 38 + 15*n)*(-4*n + 25*n + 25*n).\nAnswer: 690*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*s = -50, 5*a = 4*s + 35 + 157. Let i be 81*(3 + a\/(-15)). Calculate the greatest common divisor of 189 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j - j + j + (-4*j + 2*j + 4*j)*(-3 + 5 + 0) - 1 + 2*j + 1 + (1 + 1 - 4 + (3 + 2 - 4)*(2 + 1 - 2) + 0 - 1 + 3)*(0*j - 3*j + j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-23 + 19 + 5)*2. Solve -2*a - g + 4 = 0, -8*a + b*g = -13*a + 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 + 5*f. Let m be 2\/3*(-18)\/4. Let q(g) = 2*g**2 - 6*g + 1. Let k(l) = m*y(l) - 2*q(l). Suppose 58*n + 284 - 458 = 0. Calculate k(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1235*i + 76 = 1242*i - 176 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f + 5670 = -9*f - 2*y, 3*f = -2*y + 3402. What is the highest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + 5 + sqrt(320) + (sqrt(320) - (sqrt(320) + -1 + sqrt(320))) - (-2 + (-5 + -3*sqrt(320) - sqrt(320)) + -4)**2.\nAnswer: -5232 - 704*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -717 or 0.276?\nAnswer: -717","meta":{"dup_signals":{},"source":"comparison__pair_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: What is 611 minutes after 5:30 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 14 + 127 + 43)*(-p + 5*p + 0*p).\nAnswer: 584*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.1. Let z = -4.06 - -4. Let c = 0.36 + z. Sort -0.1, c, s in ascending order.\nAnswer: -0.1, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587258 is divided by 992?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2312 - -2317. Suppose 4*s - 6 = 2*s. Suppose 3*d - 2*x = 7, -p*d - s*x + 9 = -3*d. Solve n + 0 = d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 11:26 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 169\/18, 6\/209, -1\/5?\nAnswer: 169\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 14*s**2 + 18*s + 42. Let p be g(-15). Let z = 0.24 - -0.06. Let l = 1.148 - 0.148. Which is the closest to l? (a) 2 (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3222, -1, -410 in ascending order.\nAnswer: -410, -1, -0.3222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 3:56 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 3*y**2 + 2*y + 2. Calculate h(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2283442 by 33.\nAnswer: 2283442\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 49*l**2 - l + 1. Suppose 0 = -30*y + 147285 - 146535. Calculate the remainder when r(-2) is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -16*u**2 + 20*u + 5. Let j(k) = 39*k - 31*k**2 - 2*k**4 + 9 + 0*k**4 + 3*k**4. Let m(z) = -3*j(z) + 5*x(z). Find the second derivative of m(v) wrt v.\nAnswer: -36*v**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-14))\/(14112\/(-6272))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l = -114 + 88 - 865. Which is the closest to 1\/4? (a) 2 (b) -1\/3 (c) l (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/8*-1*24\/90. Which is the smallest value? (a) 0 (b) -5 (c) m (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 0*u**2 + 1\/3*u**3 + 0 - 1\/12*u**4 - 10*u. Solve f(i) = 0 for i.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 960512.3 decades to years.\nAnswer: 9605123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10692, -21923, -33156, -44391, -55628?\n\"Answer: -x**2 - 11228*x + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(-41)\/(m*m**2*m**(2\/9)\/m)*(m**(2\/9)\/m**(2\/3))\/((m**1\/m)\/m)**(-3\/19) assuming m is positive.\nAnswer: m**(-2498\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1343010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z**2 + 3. Suppose -2*j = 5*y - 18, 0*y - 5*j + 3 = 2*y. Let n be 52\/(-10) - y\/(-20). Let l(o) = -5*o**2 + 2. Give n*l(c) + 4*g(c).\nAnswer: c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 122, 130, 142, 158, 178, 202, 230?\n\"Answer: 2*k**2 + 2*k + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15946.8 plus 3?\nAnswer: 15949.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 13. Suppose -4*r = q - 13, -4*q + r = -d - 16. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 452 - 449. Calculate the remainder when 6 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 8*f**2 - 2*f - 15. Let i be p(-8). Let m(y) = 10*y + 1. Let s be m(i). Suppose s*a = 615 + 485. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 5:57 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 18*k + 12. What is the remainder when u(7) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60368 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(22)\/(sqrt(11) + 1*sqrt(11)) + 4 + -2*sqrt(2)*-1 + ((sqrt(140)\/(sqrt(7) - 2*sqrt(7)))\/(1*sqrt(1210)))**2.\nAnswer: 3*sqrt(2)\/2 + 486\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -108384 divided by -12?\nAnswer: 9032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*i**4 - 6433*i**2 - 6*i - 108073552.\nAnswer: -20*i**3 - 12866*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) - 32\/63. Let k = 18 + -9. Suppose -10*w = -7*w + k. What is the nearest to w in 2, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/128*268 - -57 - 476\/(-47).\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 62\/9 in -3, 5, -1\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1294813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 1) + 2 + 18. Let z(p) = p**3 - 7*p**2 - 8*p. Let m be z(8). Solve -5*j - 3 - w = m for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 + 316457*y**2\/5 - 5006017232*y - 976654750656\/5.\nAnswer: -(y - 158248)**2*(y + 39)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3.38 (b) -38 (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 238*i - 264*i + 156 = 0. What is the lowest common multiple of 1212 and i?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t = -30761 + 30495 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 6*u. Let j(a) = -80 - 41*a - 69 + 149. Calculate p(j(f)).\nAnswer: -246*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 554*z**3 + 19 + 54*z**3 - 572*z**3.\nAnswer: -1072*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -719637 + -204?\nAnswer: -719841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 9*p - 2192. Let y be (-64)\/224 + (p\/(-7) - 2). Which is smaller: y or 78?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10124646 divided by 6\nAnswer: 1687441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1311238 + 1?\nAnswer: 1311240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2035740 is divided by 371.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u - 0. Suppose -43 = -u*w + 4*r, 3*w + 16 = -3*r + 58. What is the remainder when 32 is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3981 by 298.\nAnswer: -3981\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407148499 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: Calculate ((2\/(-4))\/((-45)\/(-1125)))\/(25\/5).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3))**10\/(((g*g**(-1\/5)*g*g*g)\/g)\/g*g*g\/g**(2\/3)) assuming g is positive.\nAnswer: g**(-497\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.4 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*t - 27, s = 5*t + 26. Solve -m = 2*n + 3, n - m = 2*n - s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15735 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -957 - -1700. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.33 in -61, -0.4, 0.2, 0.01, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.5? (a) 0.3 (b) -2\/9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-9 - (12 - (10 - (12 + -65))))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 6*g**2 + 6*g - 3. Calculate i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 4, 3*z - 41 = -4*d. Solve z = -k - 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19561 = -11*p - 19396 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1403, -1446, -1517, -1616, -1743?\n\"Answer: -14*u**2 - u - 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 22 - (2 - -29)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4295070 is divided by 13995?\nAnswer: 12600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 7. What is q(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -z + 17277, -11*f + 5*z = -6*f - 28815. Round f to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + u = 3*u + 3, i - 4*u - 13 = 0. Suppose i - 3 = -d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -8*x - 5*o - 10, 0 = -5*x - o + 16. Solve 0 = -3*z + g - 12, 0 = -x*g - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 25 = 5*d, 9*d = -3*u + 5*d + 18. Let o(x) = -12*x**2 - 2. Let i(a) = 325*a**2 + 55. What is u*i(t) + 55*o(t)?\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30521 (base 6) to base 8.\nAnswer: 7761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - 7*u\/2 + 51\/4.\nAnswer: -(u - 3)*(u + 17)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 2:22 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -150 or -3192?\nAnswer: -150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(35\/(-7))*-5*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, d: 7, s: 4, h: 2}. Give prob of picking 2 h and 2 s.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 446?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86953\/4 + 21738. Let y = -8 - -7. What is the closest to k in 4, y, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371980 is divided by 347.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 10:57 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -79*m - 37. Let w(f) = -79*f - 38. Let z(o) = -4*w(o) + 3*x(o). What is the derivative of z(r) wrt r?\nAnswer: 79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5869 and -46961\/8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -3\/77, 0.037, 95 in descending order.\nAnswer: 95, 0.037, -3\/77, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -83*x**3 - 21*x**2 - x - 2. Let n(s) = s**3 - s**2 + s + 1. Let u(y) = -c(y) - 2*n(y). Find the third derivative of u(m) wrt m.\nAnswer: 486","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4 = -6, 0 = -z - 4*b + 15. Let f(c) be the second derivative of 6*c + 0 - 1\/20*c**5 + 7\/6*c**3 - 1\/2*c**2 + 1\/2*c**4. Calculate f(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 1 + 2*m - 6 + 0*m. Let u be w(-5). Let i = 11 - u. Solve 0*j - 4*j = 3*d - i, 1 = j + d for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -3 = 12536.879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 1)*(0 + 3 - 4)*(4*i + 1 + 4 - 2) to the form f + u*i and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 40993, -1\/15, -5\/2?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q + 35. What is the units digit of u(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(220) - -2*sqrt(220))*-3 - sqrt(220))\/(sqrt(20) + sqrt(180)*-1).\nAnswer: -25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 + -5 - (2 - 1). Let b be 1\/((-2)\/k) + 2. Suppose b = -2*r - 70 - 8. What is r rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 317, -4, -2, -1, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4063301 rounded to 2 decimal places?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - 14*s**2 - 14*s + 19. Is m(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950862614.\nAnswer: 2, 13, 29, 97007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 129231 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 142\/6 + 1\/3. Let w(b) be the first derivative of -b**4\/4 + b**2\/2 - 18*b - 53. Let h be w(-3). Calculate the greatest common divisor of h and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/12 + (-31087309)\/(-3498) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47185079 + 47185173.5943632. Let l = 67.594365 - h. Let g = -27 - l. Round g to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1550 = -60*f + 1570. Suppose -2*l - l = -15. What is the remainder when f is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53000410411 - 2?\nAnswer: -53000410413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**3 + 7*a + 6. Let v(t) be the third derivative of -t**6\/20 + 5*t**4\/6 + 17*t**3\/6 + 7*t**2. Determine -17*b(m) + 6*v(m).\nAnswer: -2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**3\/7 + 13*i**2\/7 - 613*i\/7 - 22 = 0.\nAnswer: -14, -1\/4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 15*s - 80. Let q be a(19). Suppose 2*w + 9 - 7 = 0. Sort w, q, 4, 1 in descending order.\nAnswer: 4, 1, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 - -3 - (-144 + -7 - -252)\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2)\/(p*p**(5\/2))*(p**2*p)\/p*p*p*p**(2\/19))**(-21\/5))**(2\/43) assuming p is positive.\nAnswer: p**(-882\/4085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*k - 1131 = 350*k for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*k = 76, 0 = -4*d + 4*k - k - 96. Let g be 12\/(-20) + d\/15 + 1. Let q be (-36)\/(-30)*((-12)\/(-8) - g). Sort -1, q, -5, -3.\nAnswer: -5, -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 145 by 29.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2713 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - -30. What is the highest common factor of 17 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 952051934 and 0.39228?\nAnswer: 952051933.60772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 41050 - 40937 = 5*u, -2*u + 35 = -3*z for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5*1 + 8976\/(-340). Do -21 and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i - 40. Let h(t) = -t + 1. What is 6*h(p) - w(p)?\nAnswer: p + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 8031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 255566449 less than or equal to 255566449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3450 and 920?\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.08 (b) 2 (c) -2 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 - (2 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1263 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 3, -5 in descending order.\nAnswer: 3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*l + l - 4*l)*(l - 5 + 5) + (-2 - 7*l + 2)*(-l + 1 - 1))*(-5*l + 0*l + 4*l).\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 10 + 7*a**2 - 5*a**2. Let p(w) = 2*w**2 + 10. Let f(r) = -2*h(r) + 3*p(r). What is the derivative of f(y) wrt y?\nAnswer: 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.514239 rounded to 2 dps?\nAnswer: 4.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, g: 11, o: 1, w: 5, s: 1}. Give prob of picking 1 q and 1 o.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 5)*(-37*q + 6*q - 12*q).\nAnswer: 43*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4681*c = -4798*c + 366678. Calculate the remainder when c is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (1 - -2)) + 24 + 16?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 u, and 1 y when three letters picked without replacement from uulouuyo.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (29439996\/(-10))\/((-615)\/(-125) - 5). Let c be 1 - 5 - 1 - v. What is c rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 4:25 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zftzfzytfzzztzkyf. What is prob of sequence zfzz?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 + 15. Suppose 15*m = 17*m + n. Find the common denominator of -74\/9 and (-354)\/(-45) - m\/12.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 64\/3 (b) -0.06 (c) -0.22 (d) -0.7 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, -3 in descending order.\nAnswer: 9, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 2*o - 4. Let v = o + 36. Let m = 115 + 13. What is the highest common divisor of v and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.192 and -920322024764.\nAnswer: -920322024764.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 125 (b) -1\/8 (c) -3 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246 = 7*w + 204 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -112*x + 105*x. Let q(m) = 25*m**2 - 4*m + 177. Let n(d) = -8*d**2 + d - 58. Let f(z) = x*n(z) - 6*q(z). What is the derivative of f(w) wrt w?\nAnswer: 36*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -5. Suppose -2*l - 2 + 4 = 0, 2*k - 71 = h*l. Calculate the common denominator of (k\/(-5))\/(162\/(-30) + 5) and 29\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + d**5 + 0*d**5 + (2 - 2 - d**4)*(-2*d + 2 - 2) + 83*d**2 + 39*d**5 - 83*d**2.\nAnswer: 43*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3799*a**3*g + 5*a**3 - 5*a**2*g - 49140*a**2 - 6*a*g - a - g - 24 wrt g?\nAnswer: -3799*a**3 - 5*a**2 - 6*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 39492926 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15103555, 60414208, 135931963, 241656820, 377588779, 543727840?\n\"Answer: 15103551*y**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 3*i**2 - i + 3. Let h be n(-2). Solve g + 20 = -5*r, h - 8 = 4*r - g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-48)\/(-30)*(-10)\/(-4). Find the second derivative of -v - 14*v**3 - 2*v**l + 14*v**3 wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u. Let w(j) = -115*j**2 + 16*j**2 - 143*j**2 + 18*j**2 + 0*j**2. Give s(w(n)).\nAnswer: 672*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/23534 - -2906383\/517748. Let w = 70\/11 - t. Suppose 5*u - 10 = -5*i, i - u + 1 = -3*u. What is the second biggest value in w, i, -0.02, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2046 is divided by 728.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 < -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30286?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25645 is divided by 5071.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*sqrt(88) + sqrt(88) + sqrt(88))*2 - sqrt(88))\/((sqrt(48)\/sqrt(2))\/sqrt(3)).\nAnswer: 4 + 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 1*sqrt(11)*-5).\nAnswer: -30*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 77978 and 1838706?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13943 = -3*o - a - 14035, 2*a - 116 = 4*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 490486278 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + (sqrt(112) - 3*sqrt(112)))\/(5*sqrt(100)) + -2)**2*4.\nAnswer: 32*sqrt(7)\/25 + 10112\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 824*i + 45 - 1652*i - 6*i**3 + 827*i to r*i**3 + d*i + k*i**2 + t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -438.61294 and -4.\nAnswer: -442.61294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 3:40 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21290.99022 + -21291. What is v rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -213*g. Let q(m) = -3*m + 5. Give n(q(w)).\nAnswer: 639*w - 1065","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 120 = -5*g. Let o = -19 - g. Suppose -o - 10 = -5*k. Solve -k*q + 6 = -6*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 5, -0.3, -306845, 1\/8, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 637\/3 greater than 211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9441845 and 364550?\nAnswer: 94418450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 1)*((3 - 3 - 6*l)*(5 - 3 + 0) + (-5 - 5 - 13)*(-2*l - l + 2*l)) to s + y*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30241522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5538251 is divided by 526.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2575160 divided by -340.\nAnswer: 7574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652 = -155*b + 3907 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 144. Let s be z(0). Suppose -k + s = -19*k. Let m(n) = -n**2 - 10*n + 2. Determine m(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 17, 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 251*l + 1245. Let y be z(5). Solve y = 3*s, 151*s - 152*s = 2*r - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5052232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**0\/c*c)**(-18)*(c\/c**(-2\/7))**(1\/9) assuming c is positive.\nAnswer: c**(1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63511 + -63511.069998. Let r = c - -0.07. What is r rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 13\/4, 1\/4, -33\/7, 14?\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 32*i + 149. Let h be ((-702)\/52)\/(-2 - (-13)\/8). Let n be v(h). Solve -p + 1 = -2*p + 4*f, f = n*p - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -3*v**2\/2 + 11*v - 219. Let c(g) = -3*g + 12. What is 5*c(j) - 6*l(j)?\nAnswer: 3*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -39.5. Let h = -9.44 + -0.56. What is the second smallest value in 3, 1, q, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - v**2 + (1 - 2*v**2 - 1)*(-1 - 2 + 2) + 984 - 984 + 6*v**2 - v to the form m*v + i*v**2 + t and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2*n + 5)*(-95849 + 95849 + 21616*n) as m*n**2 + s*n + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 7540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 52153443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 + 308b3b?\nAnswer: 308b45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461662 is divided by 3161?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -2 - (18 + (-2 - 2) - 1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 3*m - 8. Let f(k) = 2*k**2 + 7*k + 17. What is 6*f(z) + 13*x(z)?\nAnswer: -z**2 + 3*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 53532531 divided by 20487\nAnswer: 2613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = u - 3*m + 47, 9*u + 3*m = 5*u + 77 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1392 and -133\/6.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 take away 33964.78883?\nAnswer: -33722.78883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**2 + 5*b + 6 + 2*b**3 + 4 - 3*b to j + d*b + v*b**3 + c*b**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*l - 39*l + f = -15, -4*l + f + 35 = 0 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*c + 41. Suppose -u + 10 = q, -2*u + c = q - 6. Solve 2 - u = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*w, 7*f - 9*f = 2*w - 10. Solve 2*i = -5*r, 5*i - 2*i - 15 = f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 1. Suppose 2*i - 4*h = -h - 29, 5*i = h - 40. Let y = 14 + i. Let b(j) = 4*j + 4. Calculate y*d(u) - 2*b(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3223.535 + 3228. What is h rounded to 1 dp?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*s + 77*s + 1578 - 3097 = 2477 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*t**2 + 7*t**3 + 2 + 40*t**2 - 9*t - 130*t**2 + 50*t**2 as i*t**2 + x*t + v*t**3 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39189*h**3 - 120*h**2 - 66*h + 2 wrt h?\nAnswer: 235134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*j**3 - 6*j**3 - 6*j**3 - 2*j**2 wrt j.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 260 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3135835kg in tonnes?\nAnswer: 0.0003135835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j + 3. Let s(t) = -55*t**2 + t + 0*t + 57*t**2 - 2. Is s(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/310 and 72\/455.\nAnswer: 28210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1299.674l to millilitres.\nAnswer: 1299674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 1. Let y(p) = -13*p - 7. Let q(m) = -28*k(m) + 4*y(m). Is 6 a factor of q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 1925*v**2 - 4*v + 4. Let j be (6\/9)\/(1\/3). Let b be k(j). Suppose 5*f + 1451 - b = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7011058 and 24.\nAnswer: 16.8265392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 2261 = -8*v. Let m = v + -662\/5. Let s = -0.3 + -0.2. What is the closest to 0 in m, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -583 - -841. Suppose u = 4*k - k. Suppose -24 = -5*l + k. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 3250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -63, -3\/5, -61, -3\/7?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1089667511 to the nearest integer?\nAnswer: 33010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3*j**2 - 364*g**3 - 82*g**2*j**2 + j**2 with respect to j.\nAnswer: -4*g**3*j - 164*g**2*j + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2638 + 2638.004027. Round t to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c. Let w(a) = 138*a - 151. Let m(s) = 3*n(s) - w(s). What is the first derivative of m(u) wrt u?\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 799 + -801. Let k = -380 - -380.4. Which is the nearest to 2? (a) 0.2 (b) -1\/2 (c) k (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 653705137 is divided by 662.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -7*b. Let s be (-2)\/(-1) + 0\/1. Let a = s + b. Solve 9 = -a*y - y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -b + 3. Let r = -82 - b. Let s be ((-2)\/(-7))\/(9\/r). Sort 1, 4, s in descending order.\nAnswer: 4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 34 = l - 29, i + 1 = -l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -232 - -134023?\nAnswer: 133461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (152*t - 78*t - 71*t)*(-14*t - 4*t + 75*t) + 0 + 0 - 2*t**2 in the form l*t + k + q*t**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.036 + -0.864. Round p to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2496561 litres in millilitres?\nAnswer: 249.6561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-4))\/(6\/(-108)). Suppose c - 18 = h. Calculate the greatest common divisor of c and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 PM and 4:28 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnknnnnknn.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (0 - -4) + 1. Let t(v) = g - v**2 - 3*v - 1 + 0. Let n be t(-4). Which is greater: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 3 - 3 + 12 - 2*d as l*d + c and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3*s + 4)*(-4 + 1 + 1)*((2 - 2 - 1)*(0 + 2 + 0) - 10 + 4 + 4).\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 15*x + 3. Let s be t(-15). Sort 4, 5, s.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 542?\nAnswer: 92140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1714*n - 52303 - 64249 = 0 for n.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 522\/11, 2, 0.45 in descending order.\nAnswer: 522\/11, 2, 0.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 351, 699, 1047, 1395?\nAnswer: 1743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 6*b. Let w(a) = -3*a. Let n(q) = 4*p(q) + 9*w(q). Let f(h) = 3*h**2 - 2. Let l(s) = -2*s**2 + 6. Let g(t) = -3*f(t) - l(t). Determine g(n(x)).\nAnswer: -63*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*z - k + 74, 4*z = -5*k + 77. Does 6 divide (z\/8)\/((-12)\/(-64))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 11*r = -16*r - 15, 5*r + 20 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30748393.\nAnswer: 13, 17, 139133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, -1\/7, 3\/4, 4, 37\/7, -449?\nAnswer: -449","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4889 is divided by 155?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2. Let k(t) = -t**2. Let x(s) = s**2. Let b(g) = 6*k(g) + 2*x(g). Give m(b(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 732567023?\nAnswer: 732567023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 19 = -22. Suppose -7*q = -g*q - 52. Calculate the remainder when 21 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/47058313 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -18*h - 1. Let d(t) = -91*t - 6. Give 2*d(s) - 11*v(s).\nAnswer: 16*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/6*1602\/12460?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12928967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1. Let l(q) = q**3 + 16*q**2 + 17*q + 36. Let d be l(-15). Let v(j) = 16*j + 6. What is d*h(s) - v(s)?\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2005 + 2009. Let x(k) be the third derivative of -2*k**2 + 0*k - 5\/24*k**4 + 0 + 1\/120*k**6 - 1\/30*k**5 + 1\/3*k**3. Calculate x(y).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -7*f**5\/120 + 47*f**3\/3 + 6*f + 10. Let a(p) be the second derivative of l(p). Suppose 4*z - 5*z = -1. What is a(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of 5*j**7\/42 - 3*j**5\/4 - 13*j**2 - 33*j. Let h(q) be the first derivative of v(q). Find the third derivative of h(t) wrt t.\nAnswer: 600*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 5 (c) -10 (d) 0.1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -25, -29, -35, -43, -53, -65?\n\"Answer: -j**2 - j - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 155302 (base 6) to base 2\nAnswer: 11110001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49376.218 and 2.\nAnswer: 98752.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -19 (b) 1 (c) 96 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 10, 41, 92, 163, 254, 365?\n\"Answer: 10*i**2 + i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3460 divided by 5.\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a. Let n be d(-1). Suppose -36*y + 45*y = 2250. Factor 254 - y - 3*k - 3*k**2 - k**3 + n*k.\nAnswer: -(k - 1)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -0.1, 2\/5937, 2\/3, -1\/2?\nAnswer: 2\/5937","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*z + 2 = 5*n, 2*n + 4*z + 16 = 0. Let m(u) = u**3 + 11*u**2 - 26*u + 1. Let c be m(-13). Put n, -1, 20, c in increasing order.\nAnswer: n, -1, c, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823774 is divided by 51478.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 44\/3 (b) 2\/9 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f*n**2*q**2 + f*n**2*q - 21*f*q**2 - 7*f*q - 11*n**2*q with respect to n.\nAnswer: -8*f*n*q**2 + 2*f*n*q - 22*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 36*s**2 - 9*s - 31. What is the tens digit of o(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 3*l - 2620 = 0, -4*w + 3*l + 10480 = 0. Find the second derivative of -2620*r**3 - 80*r + w*r**3 - 14*r**4 wrt r.\nAnswer: -168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 10*c - 5. Let r(f) = -21*f + 11. Let i(y) = y**2 - 7*y - 47. Let d be i(12). Calculate d*b(t) + 6*r(t).\nAnswer: 4*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -7805222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -161 and 0.4.\nAnswer: -64.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*s - 5*s - 88*s - 158*s.\nAnswer: -186*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k*k*k\/(k*k**3\/k*k)*k*k*k))**8*(k**5)**(-14\/13))**32 assuming k is positive.\nAnswer: k**(-5568\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 4. Suppose -u*t = -t + 15. Is 3 - 0 - (t + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7371971.\nAnswer: 151, 48821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/42 and -199\/4034160?\nAnswer: 28239120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -31*w - 11. Calculate the remainder when 202 is divided by u(-2).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 48526 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a. Suppose 0 = x - 3 + 1. Let o(q) = q**3 + 6*q**2 - 6*q + 9. Let r be o(-7). Let s(u) = -r + x - u. Give f(s(y)).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 495 a factor of 480946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o + 0*o + 4*o - 8 - 4 - 15*o.\nAnswer: -12*o - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -197.2*1270\nAnswer: -250444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 68120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 44*q**2. Let j(b) be the first derivative of -7*b**2\/2 - 420. Give j(o(r)).\nAnswer: -308*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -852, -836, -748, -552, -212, 308?\nAnswer: 1044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.17138 - 0.12138. Sort w, -5, -4, -20, -2 in decreasing order.\nAnswer: w, -2, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2317962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from xjjxxjjjxjxxj?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 551027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**2 + 0 + 0 - k**2 + 0.\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*y + y = 215, 645 = 3*d - 3*y. Suppose 0 = 205*z - d*z + 40. Solve 0*v = -v - 4*t + 11, -2*v + z*t - 2 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s - s + s)*(10 + 8 - 7) - 2 + 174*s + 0 - 175*s as q + r*s and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5*l = 11, 4*l + 5836 - 5844 = 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36174996*f**5 - 7*f**2 + 263*f + 3602 wrt f?\nAnswer: 2170499760*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 100425500?\nAnswer: 100425504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + -614264?\nAnswer: -614277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:44 PM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 74 = -d. Let y = 42 - d. Suppose 3*k - y*s - 191 - 5 = 0, -5*s = 25. Calculate the remainder when k is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99690, -199678, -299666, -399654, -499642?\nAnswer: -599630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/21, 106054, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 10*z**2 - 99*z - 499. What is the remainder when t(-16) is divided by 140?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 151913 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -571793 (b) 3 (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.205 - -746.\nAnswer: 745.795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 4 + 8 - 5 - 3086*i + 2888*i.\nAnswer: -198*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4278 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 599*g + 84449. Let f be v(227). Let 3\/5*l**f - 7*l**3 + 4*l + 8\/5*l**4 + 0 + 4\/5*l**2 = 0. Calculate l.\nAnswer: -5, -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 69 + 4*x**3 - x**3 + 2*x**3 - 2*x**3 - 39 - 11*x**2 to q*x**2 + w + r*x**3 + c*x and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b + 4*b**2 - 4 + 2*b**3 - 5*b**2 - 1. Let r = 1 + -21. Let j = -17 - r. Let u(c) = 3*c**3 - c**2 - 5*c - 9. Give j*u(v) - 5*h(v).\nAnswer: -v**3 + 2*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 373832896554+0\nAnswer: 373832896554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 - -361?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1296 - -891. Let r = a - -467. Calculate the remainder when r is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - 104.2. Suppose -u = -3*u + 6. What is the smallest value in u, -3\/4, g?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6155.554 - -0.04667.\nAnswer: -6155.50733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (22 + (6 - 10))) + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d - 147 = 2*g, -3*g = -3*d + 207. What is the remainder when 15 is divided by (-3)\/(-6) - g\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/(4\/12). Let c be 2\/(-5)*(-6 + q). Sort -7, 4, c in increasing order.\nAnswer: -7, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.55234 minus -13?\nAnswer: 6.44766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10378*k - 4*k**2 + 5279*k + 5099*k.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i = n - 10, -4*n = 2*i - 12. Suppose -u + 170 = n*u. Let f = -32 + u. Solve -f = 3*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pojb when four letters picked without replacement from jzlbpljpjbpzoj.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 2 - (-4 - -3). List the prime factors of u\/6 - (-38)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -1\/30*c**5 + 0*c + 0*c**3 + 0*c**4 + 0 + 2*c**2. Let w(d) be the second derivative of 5*d**4\/12 + d. Calculate n(w(v)).\nAnswer: -50*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 + (193 - 102 - 127).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 21 + 11 = -7*y, y - 4 = -w. Factor 0 + 17\/6*d - 1\/6*d**y.\nAnswer: -d*(d - 17)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124574318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2 + sqrt(252) + (4*sqrt(252))**2 + -4 + (sqrt(252) - 1*(3 + sqrt(252))))*-4.\nAnswer: -16092 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or -5053\/1016?\nAnswer: -5053\/1016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 5*r - 2*r)*(-31*r**3 + 39*r**3 - 34*r**3).\nAnswer: -26*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -1 (b) -2\/21 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -0.092\nAnswer: 0.1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/18*9\/(-1). Suppose -f + 2*z + 2 = -5, -p*f - 34 = 5*z. Let h(r) be the first derivative of r**4\/4 + 4*r**3\/3 + 2*r**2 + 3*r + 4. Give h(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(13) + -1 + sqrt(13)) - (-5*sqrt(468) - sqrt(13))) + -1.\nAnswer: -2 + 33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 11*c - 15*c - 44772 = 0, 9 = -3*c. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -3*h + 124. What is the smallest common multiple of 134 and h?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6400 and 28701800?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-2*sqrt(200)*6)\/sqrt(4))\/(3*(1*sqrt(810) + sqrt(810))).\nAnswer: -2*sqrt(5)\/9 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 1. Let q(y) = -2*y**2 - 1. Let o(k) = q(k) + x(k). Let z(r) = -5*r**2. Calculate o(z(m)).\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*f**3*o*r*u**3 + f**3*o*r*u - 7*f**3*o - 6*f**2*o*r*u**2 + 2*f**2*u**2 + 3*f*r*u**3 + 2*r wrt u?\nAnswer: -234*f**3*o*r + 18*f*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 806999 is divided by 100872?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 131*r**3 + 409*r - 367. What is the first derivative of j(n) wrt n?\nAnswer: 786*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 854788 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - q - 13 = -31, 4*c + q - 63 = 0. Let s = -26 + 36. What is the smallest common multiple of c and s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (17 + -66 + 4).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36496, 292039, 985728, 2336659, 4563928, 7886631?\n\"Answer: 36516*a**3 - 23*a**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 0*x + 5*x)*(-2 + 10 - 44)*(9 - 27 + 11)*(6 - 2 + 0).\nAnswer: 2016*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -221211?\nAnswer: -221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**2 - 20*t - 10. Let g be c(-6). Suppose -v = g*v + 2*v. Let h be 5\/5*1*0. Solve 3*i - 2 = -k, -i + v*k - k + 4 = h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n**(-3)*n)**(-4)\/((n**2*n)\/(n*n\/((n**(-2\/19)*n)\/n))))**(-1\/3) assuming n is positive.\nAnswer: n**(31\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p - p**3 - 4*p + p + 0*p**2 + 2*p**2. Let h be i(2). Solve -4 + 0 = -h*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7919421 weeks in nanoseconds?\nAnswer: 478966582080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -59\/3. Which is the third biggest value? (a) 0 (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuofqoufuooufoqoooo. Give prob of picking 2 q and 1 f.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 675.831947 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -6*t + 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/138?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-33)*(-198)\/(-54).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7706\/(-15412)*(-4)\/130?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1975445072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 - -130135?\nAnswer: 130221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -75. Suppose -g*w - 6384 = 31616. Round w to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 77*z**4\/2 - 134*z**3\/3 - 114. Find the third derivative of k(q) wrt q.\nAnswer: 924","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3382 not equal to -3381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 2*y. Suppose 5*k + y*k - 260 = 0. What is the smallest common multiple of k and 4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3106\/63 - -192154\/3843. Let o = r - 2\/61. Which is the nearest to 0? (a) o (b) -4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -18*y**3 + 4*y**2 + 3*y - 7. Let r(l) = -12*l**3 + 3*l**2 + 2*l - 5. Let p(t) = 5*m(t) - 7*r(t). Suppose 2 = -w + 3*w. Let f = 0 + w. Calculate p(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -177.941 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196477?\nAnswer: 196477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 1, -6.77, -0.43, 5?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111605.2 micrometers in kilometers?\nAnswer: 0.0001116052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 605 = -63*j + 296*j - 2657. Solve 0 = -u - 15*b + j*b - 1, -5*u + 4*b = 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.129 in -5, 0.5, -4\/299?\nAnswer: -4\/299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5397 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14\/119 - 350\/85 - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 777 = s. Is (s\/(-4))\/((-10)\/40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 5:27 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**4 + 3*n**3 - n**2 - 3*n - 1. Let q(v) = 7*v**4 + 126*v**3 - 882*v**2 + 1810*v - 1194. Let d(y) = -6*c(y) - q(y). Solve d(f) = 0 for f.\nAnswer: -150, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 3, h: 4, z: 2, k: 3, t: 3}. Give prob of sequence tj.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1738 and 632.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 2\/3*n**3 + n**2 + n + 4 - 5\/2*n**4. Suppose 0 = -2*t - 3 + 1. Give j(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (201\/268)\/(8 - 217\/28). Factor -6\/11*g**r + 18\/11*g**2 - 12\/11*g + 0.\nAnswer: -6*g*(g - 2)*(g - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7a44 (base 13) in base 2?\nAnswer: -100001011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 1.000415, -0.4 in descending order.\nAnswer: 5, 1.000415, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1150 by -2.\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0*a + 2*a - 3 - 5*a + 2*a. Let o be y(4). Let d(b) = -b**3 - 8*b**2 - 6*b + 10. Let f be d(o). Sort 2, 0, f.\nAnswer: 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2745 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c + 8741 - 3580 = 73*c - 8126 for c.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2008 and 2761.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1687614 and 31974?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 1078*a**3 - 266*a + 1107. Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1*(1008\/60)\/(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2189374 + -8.88.\nAnswer: -2189382.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 4*l - 5*c + 7*c, -2*c - 4 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 757 = -4*o + 17537. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.9624 - 15. What is o rounded to three dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001111010110000 (base 2) to base 4.\nAnswer: 21322300","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4118274.\nAnswer: 2, 3, 228793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 1 = -v, v = -r + 13 - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4942900874 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from {i: 1, t: 8, e: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85696 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + 2 - 3 - 4 + 2*t. Let y = -98 + 103. Let d(j) = 877*j - 3 - y - 871*j. Determine -5*d(f) + 8*g(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2217 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6733*z**3 - 7102*z**3 + 20597*z**3 - 7476*z**3.\nAnswer: -714*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + a**5 - 2*a**2 + (-2*a**2 + 2*a**2 - 2*a**2)*(2*a**3 - 9*a**3 + 0*a**3) - 5*a**5 + 37*a**2 - 37*a**2.\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 20340278.67 to the nearest ten thousand.\nAnswer: 20340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 196 = 1435. Let q = 117 - m. Let h = 42 - q. What are the prime factors of h?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 200 = 16*s. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/10*5\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n - 88. Let u be f(-30). Let x(o) = o**3 + o**2 - o - 1. Let q(l) = 3*l**3 + 2*l**2 - 5*l - 3. Give u*x(i) - q(i).\nAnswer: -i**3 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16\/(-20))\/(4\/(-30)). Suppose 2*c - 30 = 5*b, 0*b - p = -2*c - b. Solve c*v = 5*x - 25, -x = 2*v + 2*v + 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13*i + 343. Let g be s(26). Let o = 39\/2 + -18. Put 1, o, g in increasing order.\nAnswer: 1, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-410)\/(-205)*(-6)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 138 - 53. Let l be (-1 + -6)\/((-5)\/k). What is the third derivative of 27*n**2 + l*n**5 - 131*n**5 + 3*n**2 wrt n?\nAnswer: -720*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.769623t in micrograms?\nAnswer: 8769623000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*q + 428, -442 = -4*p + 5*q - 2*q. Suppose 0*g = -g + 4*v + 32, -3*g + p = v. Let a = g - 0. What is the remainder when a is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**3 + 3*a**2 + 3*a + 3. Let v(w) = -4*w**3 + 2*w**2 + 2*w + 2. Suppose 126*g - 127*g = -6. What is g*v(h) - 4*s(h)?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 2*k**4\/3 + 17*k**3\/6 - 2*k**2 + 1625*k. Let x(m) = -m**3 - 7*m**2 - 7*m. Let o be x(-6). Is b(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 + 7*n\/4 - 3\/2.\nAnswer: -(n - 2)*(n - 1)*(n + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 - (3 - (0 + (-128)\/(-12))). Let f(i) be the third derivative of 0 - 7\/60*i**5 - l*i**3 + 0*i + 3\/8*i**4 + 1\/120*i**6 - 15*i**2. Determine f(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.209 (b) -0.1 (c) -1\/3 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 27*g - 727. Let v be f(-45). Suppose 18*q + 47 - v = 0. Suppose -1\/7*r**4 + 0 + 2\/7*r**3 + 0*r - 1\/7*r**q = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*w + 7, 5*s + 5*w = -0*w + 20. Let a = s - 4. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 8*g**2 - g - 2. Let b be l(-8). Suppose b*i = 2*i + 12. Solve 2*k - 5 = k - 3*w, k + 7 = i*w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 100010010010011010?\nAnswer: 100010010010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fea when three letters picked without replacement from masfmme?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*sqrt(9))\/sqrt(3) + sqrt(3) + sqrt(9)\/sqrt(3) + 0 + 1 + sqrt(363) + sqrt(363) + sqrt(363) + -5)**2.\nAnswer: -288*sqrt(3) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1203 and 7.\nAnswer: 8421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1701 and 4595373?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8471437?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 352 - 1046\/3. Calculate the common denominator of w and (-2 - 59\/(-7)) + 2.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11017 + -3?\nAnswer: -11020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, w: 5, z: 4}. What is prob of picking 1 m and 1 z?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/259730 and -101\/415568.\nAnswer: 2077840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -2\/17, -0.02378, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5\/36 + 137\/468. Let l(t) = t**2 + 8*t - 5. Let f be l(-7). Let r be (-3)\/f - 9\/12. What is the second smallest value in c, r, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - s**3 - 4*s**3)*(160*s - 180*s + 85*s + 3)*(5 + 5*s + 0 - 6*s).\nAnswer: 130*s**5 - 644*s**4 - 30*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*d - 2*d - 3*d)*(-6427 - 6515 + 12446) to the form k*d + n and give k.\nAnswer: -496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 3*r - 17 = a, 2*a + 3*r = -27. Let b = a - -11. Let h = -0.1 - -0.3. What is the third smallest value in b, 5, h?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*c + 199, 3*p - 2*p + c - 49 = 0. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3834 - 1928 = -761*d + 23690 + 26159 for d.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172523947 divided by -6.\nAnswer: 172523947\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25262 - 23822. Calculate the lowest common multiple of k and 160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 + -4 - 0)\/2. Suppose -4*q + 14 = -2*p, 0*q + 3*p + 17 = g*q. Let s = q - -2. Solve -s*j = j - 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15788*z - 799*z**4 - 3*z**5 - 11060*z - 816*z**4 wrt z?\nAnswer: -60*z**3 - 19380*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*h - 327 = 0, -3*b - 12*h + 15*h = -195. What is the greatest common factor of 4288 and b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3893 + -3891. Sort -8\/9, m, 1\/3.\nAnswer: -8\/9, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-16) - 450\/(-8). Suppose -2*b = -3*y - 4*b + d, 2*y - 52 = -5*b. Is y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhcwyyjxhhyxxwh. What is prob of picking 1 c and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. Let y be o(4). Suppose -n + 3 = y. Is 10 a factor of (0 - n) + (30 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 1 = 395*a - 394*a - 0*c, 0 = 4*a + 32*c + 148 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oovovovooogoovovv. What is prob of picking 1 o and 1 v?\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/19778850 and -167\/13800.\nAnswer: 79115400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2246088 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - sqrt(128) - 5*(-2*sqrt(2) - sqrt(2)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Let u be (1\/4)\/((-212)\/12 + 18). Factor -1\/2 + u*h - 1\/4*h**q.\nAnswer: -(h - 2)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31 and 713?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k = 39*k - 156. Let r = k + 2. What is the greatest common factor of r and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 4 = -a, -392306*t + 392310*t - 5*a = -2*a - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 16 + -27 + -1 + 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in 1\/6, -2\/7, 0.03, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 8*m**2 - 3*m + 11. Give n(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 2, p: 3, b: 1, f: 3, v: 1}. What is prob of sequence wfv?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 2, 93 in descending order.\nAnswer: 93, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.06 (b) 1 (c) 0.01 (d) -1 (e) -3053\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7239*n**5*o + 7*n**4*o**2 - 37722*n*o**2 - o wrt n.\nAnswer: -144780*n**3*o + 84*n**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 10*n + 23. Calculate the remainder when 53 is divided by y(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sh when two letters picked without replacement from asrwhswwwaswwasswss.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 184 - 159. Solve 10*f = 25 + p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(-2)*(171\/(-21) + 8). Let u(a) = -2*a - 1. Let f be u(2). What is the second smallest value in -0.34, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2917 divided by -2605?\nAnswer: -2917\/2605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - p - 305 = 0. Let n be (-4)\/(-18) + p\/(-9). Let x = 1 + n. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 35*k**2 - k + 1. Is t(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 5 + -14 - (-8 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*o + 8*o + 739*o**2 - 363*o**2 - 370*o**2 - 2 in the form d + l*o + w*o**2 and give l.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-61)\/(-183)*3\/(-9)*-9.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 9*q**2 + q - 6. Let t be a(9). Suppose -u = -5*s + t*s - 34, -3*s = u - 39. Let i = -4 + 28. Calculate the highest common factor of i and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 323*r - 59*r + 0*r**2 - 72*r - 192*r to f*r + y + u*r**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5603.97 + 5604. Which is the closest to 0.1? (a) p (b) 0.5 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2560*o**2 - 259212 wrt o?\nAnswer: 5120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 4:24 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100000010101101 (base 2) to base 4.\nAnswer: 130002231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - 1 - (-448)\/56. Let k(b) = 2*b + 3. Let f(q) = -2*q - 3. Calculate m*f(w) + 5*k(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 27566?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-18))\/(4\/3 + -1). Sort 58, 2\/7, b.\nAnswer: b, 2\/7, 58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*g*i**4*o**2 + g*i*o**3 + 3*g*i - 19310*i**2*o**3 + 17799*o**3 wrt i?\nAnswer: 60*g*i**2*o**2 - 38620*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*y = -4*y + 10, -5*k + 755*y - 753*y - 10 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjj when three letters picked without replacement from {x: 1, j: 2, p: 4, v: 1, r: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22679 is divided by 1202?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((9 + 1)\/(-30))\/(2\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57003 is divided by 28490.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -228 in increasing order.\nAnswer: -228, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 times 2865?\nAnswer: 48705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/(4\/10*-20*7\/56).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 + 8 = 2*u, -4*p + 8 = -4*u. Let v be (-22 - -2)\/(1 + u). Let c = 40 + v. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - m + 1. Let c be x(1). Let p be (c + 7)\/(9\/18). Suppose 7*z - p*z = -21. Solve -z*g = -5*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*t + 3906 = -52*t. Calculate the greatest common divisor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -7. Suppose -3*z = 0, -3*f - z = -8 - 4. Suppose -4*d - 24 = -f*b, -6*d = -4*d + 10. Put i, b, 4 in decreasing order.\nAnswer: 4, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 1. Let g be r(2). Suppose -5*h = -0*z - 2*z + 6, 10 = -g*z. Let l(a) = a**2 + a + 1. What is l(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/1056 + (-3)\/40*-5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 300450 or 300449?\nAnswer: 300450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-25)*j*j*j*j)**(-1\/11) assuming j is positive.\nAnswer: j**(19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 38 + 28. Solve 9 = -5*f - m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(91)\/(-1*sqrt(7)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4 + 2952*z**3 + 706524*z**2 - 626239064*z - 251881221390 = 0.\nAnswer: -647, 465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -666317 (base 10) in base 3?\nAnswer: -1020212000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5 = -t, 0 = -2*n + 2*t + 22. Solve 9 = -3*p - n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52787 at least as big as -266\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 658 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28.8 - -21. Let w = g + 7.7. Which is the fourth smallest value? (a) w (b) -0.4 (c) 3\/25 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*v**3 + 170422*v**2 + 3*v - 108073792?\nAnswer: -15*v**2 + 340844*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 69865051 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -71*b**2. Let i = -122 + 133. Let q(h) = 30*h - 5*h - 12*h - i*h. Calculate z(q(v)).\nAnswer: -284*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 193967733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 42, 106, 196?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tbybhh. What is prob of sequence hbh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 129\/9 + (-5)\/15. Let s be 2\/c*-2 + 204\/28. Calculate the greatest common factor of 84 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -3\/26 (c) 438.146\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 623226 and 30607.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-35)*380\/(-76))\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**3 - w**2 + 4*w + 10. Let q(z) = -z**3 + z**2 - z - 1. Let o(c) = 5*q(c) + v(c). Let y(x) = -x**3 - 7*x**2 + 2*x + 10. Let s be y(-7). Give o(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-7 - (2 + -3)) - 7 - -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/4)\/(v\/(v*(v\/(v*v**(-1\/29)\/v))\/v*v))*(v**(-2\/13))**(-8) assuming v is positive.\nAnswer: v**(3793\/1508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - m**2 - 2 + 6*m - 3*m. Let n be ((10 - 5) + -6)*-5. Suppose 10 = 2*y + 3*y - n*d, -4*d = 3*y - 13. What is w(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 268136351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 53, 117, 207, 323?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**2 - 5*b**2 - 4*b**2)*(-2*b + 2 - 2)*((b - 2*b + 0*b)*(3 + 4 - 5) + 1 - 1 + b) to p*b**4 + f*b + v*b**3 + u*b**2 + t and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-30)*(29\/(-12) + 2). Which is the closest to 8? (a) v (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 r when three letters picked without replacement from nnnnrnnrnn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + b**2 - b + 1. Let g be f(1). Factor -7*p**2 + 2*p**5 + 9*p**2 - 3*p**4 + g*p**5 + p**4 - 2*p**3.\nAnswer: 2*p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/6*(-5 + (-236)\/(-46)). What is the second biggest value in 2\/5, b, -44?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*t - 40 + 37 = 0, -3*r + 5*t + 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of x**5\/60 + x**4\/24 - 35*x**3\/6 - 6*x**2 + 5*x - 45. Calculate n(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = f + 3*f - 3*s, 0 = 3*f + 2*s + 10. Put -5, 2, f in increasing order.\nAnswer: -5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 14\/(-4)*(-3002)\/553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1160\/(-168) + 7)\/((-6)\/9). Which is smaller: l or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)\/((-465)\/(-231) + -2). What is the greatest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*z + 5 = 5*l - 384*z, 32 = 4*l - 2*z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4051 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*w + k - 1, 3*k + 6 = -3*w. Suppose -h = -2*h + 2. Let p(t) = h + 5*t - 1 + 0. Determine p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (419*v - 2847 + 2847)*(-4 - 6 + 0)*(0*v + 0*v + v) to g*v + l + x*v**2 and give x.\nAnswer: -4190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l + 4. Let r be n(-6). Let f be (6\/15)\/(r\/(-270)). Calculate the common denominator of -73\/12 and (-10)\/(-10) - f\/(-44).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 388.\nAnswer: -1164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2475811 and 46?\nAnswer: 113887306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 5:51 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 15*z**2 + 21*z + 98. Let t be y(-14). Solve -17*v + 21*v = t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.65743 (b) 3 (c) 1\/2 (d) -4 (e) 0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -227*z - 2835. What is g(-13)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 508*r - 14. Let c be z(2). Let f = 499 + c. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -22. Calculate the remainder when 28 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8399793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16893418 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-675)\/2200 + 4\/22)*-2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 8:31 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -40, -79, -124, -169, -208?\nAnswer: -235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*v**4 - v**3 + 268*v**2.\nAnswer: -3480*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 + 5 - 12 - 6. Let v = -2 - -5. Let j = -1 + v. Which is the nearest to j? (a) -0.5 (b) p (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 greater than or equal to 181\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 77057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 122\/7 - 1112\/63. Which is the smallest value? (a) s (b) 6 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21110200210211 (base 3) to base 2.\nAnswer: -1111001001001111001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**3\/6 + 185*b. Let o(y) = 1 - 2*y - 1. Give o(c(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2)*b**5\/b*b*b)**30*((b\/(b**1\/b))\/b)\/b**(2\/3)*b**(-4)*(b\/((b\/((b\/(b**1\/b))\/b)*b)\/b))\/b assuming b is positive.\nAnswer: b**(343\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -183*n + 182*n - n**4 + n**2 + n**4 + n**4 - 5*n**3 to the form p*n**2 + l*n + o + g*n**3 + z*n**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + (-6)\/(-10) - 19313\/(-6820) and 117\/140?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 10:23 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3273934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1694 = -z - 23*x + 20*x, 8413 = 5*z - 4*x. Is 57 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnxnjyjjnnxnjonxoon. What is prob of picking 1 n, 1 o, and 1 j?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40 - 40 - 15*h to the form g + a*h and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 1365 = -15*x. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:31 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(-5 + 5 + 7*v) - 4 + 1 + v - 3*v - 33*v + 49*v + 96*v.\nAnswer: 124*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v - 2. Suppose -4*w - 15 = -3*a - 48, 4*a - 12 = -4*w. What is the remainder when t(w) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1043784 (base 12) to base 11\nAnswer: 1810505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -348 + 365. Solve -2*o + 5*l - 24 = l, 4*o - r = -5*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -22. What is the remainder when 90 is divided by r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -35457077?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1242 + 1 - -6) + (1 - -1). Let u = -671 - t. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-1\/2))**(-1\/23))**(-2\/19))**(-3\/16) assuming i is positive.\nAnswer: i**(3\/6992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 1 + -3 + 2 + -9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341475 is divided by 166213?\nAnswer: 9049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 6*b**3 + b - 1. Let s(m) = 7*m**3 + 2*m - 2. Determine 3*f(o) - 2*s(o).\nAnswer: 4*o**3 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from lbbhbbbll?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-902)\/1640 + (-1)\/4. Are -0.088 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -9)*(-3)\/(-24).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1 + 1 - 2*p - 4 - p**2 + 9*p. Let d be k(6). Let r = 18 + -14. Solve -35 = d*y + y - 2*z, r*y - z = -25 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 156\/315 - (66\/(-10) + 7). Sort -5, d, 0.8, 1.\nAnswer: -5, d, 0.8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/33 - -103\/66. Let n = 0.03 + 0.17. Which is the second smallest value? (a) n (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 21 = -n, 0 = 3*n - 170*g + 174*g - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33999 - -34555.12. What is c rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 880859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 n, and 1 s when four letters picked without replacement from hznzhsl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.11, 3, 61, 0.3, -0.0317, -18, 1\/3?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-5))\/g**3)\/(g**(-1))**(-3\/16)*g**(1\/5)*g*g**(2\/11)*(g**(2\/7))**(24\/11) assuming g is positive.\nAnswer: g**(-31923\/6160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.7 - -2.4. Let l = 35\/4 + -9. What is the nearest to -6 in a, l, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from axxaaxaaax.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q. Let o(w) = 13*w. Let a(m) = -7*h(m) - 5*o(m). Suppose -v + 3*v + 12 = 4*s, s + v - 3 = 0. Let l(b) = 3 - s + b**2. Give l(a(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 568 a factor of 170158032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3 = 3*j, j + 0*l = -l. What is the third biggest value in j, -2\/91, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**2 - 7*a + 19. What is m(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 greater than or equal to 159222\/659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -118\/3*z**2 + 98*z + 2\/3*z**4 + 132 - 14\/3*z**3 = 0.\nAnswer: -6, -1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 3*f**4\/20 + f**3\/5 - 3*f**2\/10 + 133*f. Factor q(h).\nAnswer: 3*(h + 1)*(3*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 - 39*m**3 + 0*m**2 + 0*m**2.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 9. Let n be j(3). Suppose t - r - r - 4 = n, 1 = t - r. Let v be -4*2\/(-8) + t. Let g(q) = -9*q. Determine g(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.02 (c) 0.526 (d) 0.4 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s**2 + 38*s**2 - 18*s**2 + 247*s**2.\nAnswer: 297*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 86236107 to the power of 1\/3, to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = 0, -4*r - 4*t + t + 19 = 0. Suppose -5*k + 4 = -9*k - r*q, 0 = 3*k - 2*q - 2. Solve x + k*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**12\/(g**16*g)*g**(3\/8)\/(g*g*(g*g**(-26))\/g) assuming g is positive.\nAnswer: g**(155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*a + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2314582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c + 35*c = 44*c + 12469. What is the remainder when c is divided by 74?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6030 is divided by 194.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -80, -170, -294?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + 4*p)*(-3*p**2 - 2*p**4 + 3*p**2) + (-p**3 - p**3 + 0*p**3)*(2 - 2 + 3*p)*(-20*p + 44*p - 17*p - 2).\nAnswer: -44*p**5 + 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 91786 and -10741?\nAnswer: 102527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 180 = 2*k + 2*k, -180 = -4*k - 5*o. Suppose 4*h - 7*h = k. Let t = h - -21. Solve -t*a = -a + 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4932*v**2 - 24599?\nAnswer: -9864*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22 + -0.22. Let u = -4.4 - -3.4. Which is the closest to 2\/37? (a) u (b) 1\/7 (c) k (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -14)*1\/(-2). Let i be 5\/3 - (-4)\/w. Let q(y) = 2*y**2 + y - 1. Let f be q(i). Is 2 not equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4 = 2*o - 8, 3*o = -k + 3. Let a = -11 - -22. Calculate the remainder when a is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 904 and 320468?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 10*r. Let p(d) be the second derivative of 7*d**5\/60 - 89*d**2\/2 + 119*d. Let x(y) be the first derivative of p(y). Determine h(x(w)).\nAnswer: 70*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 36*j + 111. Determine x(-7).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i + 25 - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/20 - 3*b**4 - 1079*b**2\/2 - 289*b. What is the derivative of t(w) wrt w?\nAnswer: 3*w**2 - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 + 3*l - 22 + (0 + 0 + 1)*(-3 + 3 - l))*(4*l + 2*l - l) to v*l**2 + t*l + z and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 AM and 4:23 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.32 - -8.32. Which is smaller: 1.05 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -7\/20*k**5 + 7\/8*k**4 + 4 + 9\/4*k + 1\/24*k**6 - 15\/8*k**2 - 1\/6*k**3. Determine v, given that x(v) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304 + -300. Solve 0 = -3*g - g + s + o, -4*g - 4 = -3*s for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -111, -217, -431, -789?\nAnswer: -1327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 162257\/117 - 12455\/9. Factor -16\/13*x**2 - g*x - 20\/13 + 2\/13*x**3.\nAnswer: 2*(x - 10)*(x + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3*f = f + 10, 0 = -5*d + 3*f - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1928.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/968 and -12\/6643483.\nAnswer: 584626504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*p + p = -14, -3*q - 9 = -2*p. Is (-30)\/q - 5 - (1 + -189) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (205\/164)\/(2\/8). Solve -s*u + 14 = 3*j - 6, -j + 4 = u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -534151 - -778349. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3391, -8.\nAnswer: -8, 1, 3391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*v**3 + 2096600 - 2096600.\nAnswer: -15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 10*n**3 + 2354*n**2 + 3280*n + 936 = 0.\nAnswer: -234, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -153 (base 6) to base 7\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + 60\/(-9))*(-2)\/(-24). Which is the third biggest value? (a) 4\/9 (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 15085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26625427?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (21 - 26) + 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -12*r - 3. Let a be f(-2). Let o = -8 + a. Solve 5*j - 2*q + 23 = 0, 5*j + q = -13 - o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4225893*k**3 - 29*k**2 - 99834001*k - 1?\nAnswer: -25355358*k - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74764536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/14 + (-2)\/(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 271 and 0.1?\nAnswer: 27.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(9\/(-96))*10*((-288)\/120)\/(-12)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35412557.35 rounded to the nearest 10000?\nAnswer: -35410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (99\/(-4))\/(3\/12). Let g = 166 + p. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**5\/20 + z**4\/4 - z**3\/2 + 2*z**2 - 6*z. Let r be m(-3). What is the highest common divisor of 52 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(252) + sqrt(252))**2.\nAnswer: -72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j - 6. Let r(w) = -6294*w**2. What is t(r(v))?\nAnswer: -12588*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20979 to the power of 1\/2, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41580)\/3696)\/(555\/8).\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.5 (c) 4260\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 6*h - h - 12, -3*i = 2*h - 9. Suppose h*f + 192 = 3*f. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-19818)\/(-1989) - (-4)\/34?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = -23. Let j(m) = -1. Let n(r) = -r**2 + 2*r - 9. Let a(p) = -2*j(p) - n(p). List the prime factors of a(l).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 12*u - 5*u + 21 = 0 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60089, -60090, -60091?\nAnswer: -60092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12010000201012121 - 222?\nAnswer: -12010000201020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*v - 95, 3*k = 4*v - 0*k - 129. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6140?\nAnswer: 2, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 50, 116, 208, 326, 470?\n\"Answer: 13*r**2 + r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7)\/(l\/((l\/(l*l\/l**(2\/11)*l))\/l))*(((l*l**(-1\/2))\/l*l)\/l*l)**(-7\/6))**(-3\/2) assuming l is positive.\nAnswer: l**(3803\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39728 and 0.1.\nAnswer: -39727.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - k - 5*s = 0, s = -3*k - 12. Let n(m) = -1 - 8*m - 2 - m**2 - 4. Calculate n(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 28*x**2. Let u(m) = -108*m. Calculate h(u(v)).\nAnswer: 326592*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 31. Calculate the remainder when k + (-1 - (2 - 1)) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -387 + 386. Let a = -9 - -14. What is the smallest value in -4, a, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 1, 10.\nAnswer: 1, 10, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 15, -7 in decreasing order.\nAnswer: 15, 2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/4*(6 + -10) + (-65380)\/(-13356). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -22 - 16) + -6 + 21 + 14.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1584 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**2 + 15*z - 30. Let v be a(-15). What is v rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 29, 33, 37, 41, 45?\n\"Answer: 4*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1, 3, 2, -0.141 in descending order.\nAnswer: 10, 3, 2, 1, -0.141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -914*o + 920*o + 78 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - 22. Let w be ((-2)\/i)\/(6\/(-12)). Which is bigger: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11241 - -76568. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/(-300))\/(8\/(-4)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 54535 from -6555.\nAnswer: -61090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149*l**4 + 40*l.\nAnswer: -1788*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 12*m - 9. Let r(d) = -2*d - 13. Let o be r(0). Let z be f(o). Let p(a) = 47*a + 3. Is p(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55135\/33 - 1671. Find the common denominator of 496\/(-54) + (-7)\/(-1) and f.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l**3 + 30549*l - 30555*l + 0*l**2 + l**2 + 2)*(3 - 2 - 3).\nAnswer: -14*l**3 - 2*l**2 + 12*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0706 + 0.3294. Which is the nearest to -1? (a) 41 (b) t (c) 1\/3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/((-1596)\/(-288)) - 5 - (-11 - -2)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**4\/4 + w**3\/3 - 7*w**2\/2 - 25. Suppose 3*x + 13 = -c, -5*x = -c - 3*c + 33. What is the units digit of q(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 36.59 in 20, 60, 0.1, -1\/7, 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 13. Let t be i(-6). Is 3 a factor of (-2 + 0 - -1)\/(t\/(-17))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from yysyykzhskphhhkysyss.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -29.3, 2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -150777 divided by -2043\nAnswer: 16753\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2034650 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 7*t - 25, -2*t = 5*c. Suppose 5*w + 2*r = 6, 2*w + 6 = -64*r + 66*r. Solve 2*j + 7*l - 2*l = w, 4*j + c*l + 16 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0241 + 0.3241. What is the nearest to -70\/9 in h, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i + 4*i + 3*i. Let l(u) = 29*u - 10. Let p(m) = -72*m + 24. Let w(y) = -12*l(y) - 5*p(y). Give o(w(a)).\nAnswer: 36*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from {f: 7, j: 4, r: 4, e: 2, u: 2, o: 1}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0535 - -14.9465. Which is the second biggest value? (a) z (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2863\/2552 - -1\/319. Calculate the common denominator of c and 143\/60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 16*g + 4670. Let z be v(-52). Calculate the highest common factor of 808 and z.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from ssqpzqq?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6070303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + b2c577?\nAnswer: b2c573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 96663 + 64575. Let y = o + 190465. Suppose -1754 = 4*i + y. What is i rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 136\/3*t**2 + 32\/9 + 248\/9*t**4 - 182\/9*t - 6*t**5 - 452\/9*t**3.\nAnswer: -2*(t - 1)**4*(27*t - 16)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 380038667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 83*j**2 - 19 + 19 + (-4*j - j + 4*j)*(-j + j - 2*j) to the form p + i*j**2 + q*j and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/2 + 146*x + 291\/2 = 0. What is x?\nAnswer: -291, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -247 + 265. Let m be -5*i\/120*4. What is the biggest value in m, 9, 0.1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 25 = -5*x, -4*x + 20 = 2*q + 3*q. Factor -5*p**4 - p**2 - 15*p**3 + q*p**2 - 9*p**2.\nAnswer: -5*p**2*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 344085935?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4614 - 4614. Let j(l) be the third derivative of 7*l**2 + 1\/3*l**3 + p*l + 1\/60*l**5 - 5\/24*l**4 + 0. Let q(w) = w. Give -j(o) - 4*q(o).\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 138*z + 16485. Calculate n(-120).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 13 = r - f, 2*r - f = 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + -64. Suppose o + y = p, -4*y + 26 - 7 = o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 7 - 7)*(-2*h - 5*h + h) + 3*h - 6*h + 2*h to the form u*h + b and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1538649, -1538648, -1538647, -1538646, -1538645?\nAnswer: -1538644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Let d(f) = f**2 - f. Let u(w) = 3*w + 3. Let r(q) = d(q) + u(q). Let p be r(-2). Let n = p + -5. Determine j(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3532 + 15524?\nAnswer: 11552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4782 = 4*z, z - 1194 = 12*d - 14*d. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n - 2*r + 6, -3*n = -3*r + 3. Let f be -74*n\/42 - 2\/(-7). Let y(l) = 8*l**2 - 3*l**3 + l**2 + 4*l**3 - 4*l**2 - 7. Determine y(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100000001000110001111 (base 2) to base 10\nAnswer: -1053071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (93 - 93 + 27*s**3)*(2 - 2 + 2*s) + (-5*s**2 + 4*s**2 + 3*s**2)*(5 - 5 + 4*s**2) in the form b*s**4 + x + u*s**2 + q*s**3 + o*s and give b.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = x, -5*c - 20 = x + 6. Let u(w) = w**3 + 6*w**2 + w + 8. Let f be u(c). Suppose j = -a + 166, 2*a - 825 = -5*j - f*a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 614 = 196. Suppose i*l - 20*l + 6 = 0. Solve l*s = 2*s + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y - 2005. Let h = y + 174. What is the common denominator of -43\/18 and (-6)\/(-9) + h\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 11*x + 2*x - 5*x. What is the second smallest value in 6, 2\/3, 0.1, x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 43330 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 163.02 - 163. Let m = -19\/30 + 3\/10. Which is the third smallest value? (a) l (b) m (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 12*t**2 + 4*t - 12. Does 8 divide a(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*h - 46 = -h, -2*p + 12 = -5*h. Suppose -92 = -3*x + 4*q, 9 = -4*q - p. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 145*x + 423. Let z(n) = -43*n - 141. Give 3*w(h) + 10*z(h).\nAnswer: 5*h - 141","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*s = 62*s + 117. Let u(m) = 36*m + 148. Is 28 a factor of u(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45032 and 884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-26))\/((-5)\/(-10)*4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 103 * -0.81673.\nAnswer: -84.12319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3 + 2924*l**2 - 5840*l = 0. Calculate l.\nAnswer: 0, 2, 1460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 230\/87? (a) 0.2 (b) -8 (c) 7 (d) 4 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, p: 1, i: 1, q: 1, j: 1}. Give prob of sequence ip.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 4, 1\/6, -48373?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/1519 + -174649\/18228. Calculate the common denominator of (-2)\/(-10) - 209\/(-80) and d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**8)**(-6\/13))**(-15))**43 assuming v is positive.\nAnswer: v**(30960\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1464643000 to the nearest one million.\nAnswer: -1465000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b*w**2 + 2*b - 283*w**2 - 3*w + 87 wrt w.\nAnswer: -4*b*w - 566*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)*(w*(w**(-2\/9)*w)\/w*w)\/w*w**(1\/19)\/(w*w**(-11\/4)\/w))**(19\/3) assuming w is positive.\nAnswer: w**(-287\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/7 (b) 7\/3 (c) 1 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 plus 9051847559?\nAnswer: 9051847559.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 679 = -4*w. Does 35 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-72)\/(-96) - (-7)\/(-4). Let d be ((-31)\/(-3) + -2)\/(j\/(-3)). Solve -11*b + 16*b + d = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d20 (base 14) in base 9?\nAnswer: 3472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*w - 61*w - 1540 = -67*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007198439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*n - 6998, -2*n + 2812 = 2*u - 6*n. List the prime factors of u.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64591?\nAnswer: 64591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**2 - 6*j**2 + 15*j**2 - j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283229044.\nAnswer: 2, 7, 17, 193, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.1 - 10.1. Let d = a + 8.8. What is the nearest to 1 in -1\/7, -4\/9, d?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5 + 0*a - a + 0*a - 7*a. Let i(d) = d - 7. Let k be i(-10). Let w(h) be the first derivative of -23*h**2\/2 - 14*h + 1. Determine k*l(o) + 6*w(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-630)\/28)\/(2\/12). Is i less than -539\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2196 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-562)\/(-6) - 34\/51. Let u = h - 62. Suppose -255 = -2*b + u. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 2. Let b(a) = -5*a + 9. Let y = -3 - -5. Let s(k) = y*b(k) - 9*r(k). Let u(n) = 7*n**2. What is s(u(l))?\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.6 + 9. Put 0.2, g, 2 in decreasing order.\nAnswer: 2, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of h**6\/120 + h**5\/30 - h**4\/12 + 5*h**3\/6 + 7*h**2. Is 26 a factor of j(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o + 51 = -4*y, -3*y = -4*o + 269. Let m = o + -77. Let s be m\/2 - 82\/(-28). Which is the second biggest value? (a) -0.4 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3238*k**2 - 1051*k**2 - 1051*k**2 - 1120*k**2.\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -858*p**2 + p + 1. Let w be f(-1). Let i be ((-27)\/(-30))\/(w\/225). Let c = 2\/143 - i. Is -1 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 5*n**3 + 4*n**2 - 63*n - 4. Let d(a) = 11*a**3 + 9*a**2 - 127*a - 9. Calculate 4*d(k) - 9*w(k).\nAnswer: -k**3 + 59*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22 from -5881.\nAnswer: -5903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 27) + -36 - -46.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001437 rounded to 7 dps?\nAnswer: -0.0000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -269 + 2765. Is 64 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b + 3. Let c be a(-3). Let t be (-3832)\/(-32) - (1\/1)\/(-4). Let q be (3\/(-12))\/(c\/(t\/34)). Which is bigger: -1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*r = 71*r - 164*r + 34600. What is the remainder when r is divided by 688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-6)*5 + -4 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -447 + 449. Suppose u = -v*m + 1103, -4*m = 4*u - 4408 + 16. What are the prime factors of u?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*o**3 - 26*o**3 - 10*o**3 + (-5*o**2 + 8*o - 8*o)*(-2 + 2 - 4*o).\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 509033938 to the power of 1\/3, to the nearest integer?\nAnswer: 798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 160, 169, 192, 235?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)\/(((-42)\/558)\/7). Let a be 10385\/r*(-1)\/(-7). Let u = -47\/3 - a. Which is smaller: u or 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eapp when four letters picked without replacement from iapepppeeeeepeeepap.\nAnswer: 21\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 2. Let l be w(-3). Let g(u) = u**3 - 8*u**2 + u + 3. Let y be g(l). Solve -2*n + y = -4*f - n, -f - 5 = -n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1184 and 1295.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, 772, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2102 = 64*r - 2058. What is the remainder when r is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-252)\/(-20) - (-4)\/10. Suppose -10 = -n - 4*r, 2*n = 2*r + r - h. Let z be n\/(-2 - -1 - 1). Is z at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106911720 by 6801.\nAnswer: 15720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 13?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -25*y. Suppose 148 - 58 = 3*q. Let d(n) = -n. What is q*d(p) - s(p)?\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (608\/(-24))\/(72\/54).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*o**3 + 6*o**2 - 1590*o?\nAnswer: 444*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -41 (c) -0.2 (d) -3 (e) 49 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqlfqqfqh. Give prob of sequence qhlh.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 176, 248, 346, 482, 668, 916, 1238, 1646?\n\"Answer: 2*w**3 + w**2 + 55*w + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*370.1.\nAnswer: 5181.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 0*q**3 + 120*q**2 - 13*q - 10*q + 24*q - 3 to the form d + p*q**2 + o*q**3 + b*q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o - 1 + 6 - 18*o - 2*o**2. Calculate the smallest common multiple of 7 and h(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1204, 5, -4, -3, -2730 in increasing order.\nAnswer: -2730, -4, -3, 5, 1204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*q - 13*q - 20*q.\nAnswer: -25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o + 2249 = -238*o - 4987 for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 - 132 = -32*c + 143. Is c >= -90\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 18*l**2 + 13 - 54 + 15 + 22*l + 16.\nAnswer: -18*l**2 + 22*l - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efzwfezffzzzfzzz. Give prob of sequence wz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*w + 84 = 181*w. Let n = w - -591\/7. What is the closest to -2\/15 in -4\/3, n, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78.9 + 79. Let v = -5.07 - -0.07. Which is the closest to x? (a) v (b) -2\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 9*k + 73*k - 89*k + 0*k - 6. Let u(i) = 8*i + 7. Determine -6*t(x) - 5*u(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1\/15, 6, 0.4, -1.\nAnswer: -1, -2\/3, 1\/15, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 2*w - 19349 + 19354, 0 = 6*s + 2*w - 10 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n - 1. Let c(b) = 3*b - 1. Let j be 6\/8*52\/13. Calculate j*c(a) - 5*y(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 40 + 0*g + 43. Calculate s(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -g - 8*k + 3, -5*g - 2*k = -84. Let f be (4 + -4)*(-7)\/(-14). Suppose 0 = -6*d - f*d + g. Solve -12 = -y - d*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(396) + 3 + 1*(sqrt(396) + -2))**2.\nAnswer: 24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14294701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3c0da (base 14) to base 10\nAnswer: 148368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -z + 12, -2*y + 40 = -4*z - 0*y. Let h be (-36)\/z + 2 + (-2 - 0). Factor -h*t**2 - 1\/2 + 3*t.\nAnswer: -(3*t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1 + 25 - 15 - 5*j**3 - j. Calculate the remainder when t(-4) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000030057583 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1110101010000000000 (base 2) to base 8\nAnswer: -1652000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(sqrt(325) + -1) + sqrt(325) + 2*sqrt(325) + 3 + sqrt(325) + (sqrt(325) + 1)*1 + sqrt(325) + 1)**2.\nAnswer: 39329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1578)\/(-36) - 2\/(-12). Suppose -2*x + k = -0*x. Solve 0 = 4*b + b - 3*g + x, -3*b - 4*g - 19 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 19508300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -269 + 162. Does 18 divide (-5 - -4)\/(1\/k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2612*y**5\/3 - 14642*y**4\/3 + 14716*y**3\/3 + 23912*y**2\/3 - 5776*y - 3090 = 0. What is y?\nAnswer: -1, -515\/1306, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -201*w**2. Let s(p) be the third derivative of -p**5\/30 - 685*p**2 + p. Determine s(k(b)).\nAnswer: -80802*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*v - 10 = 0, -10*z + 9*z - 3*v = -9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 35 = 5*v, 2*d = 3*v - 11 - 11. Find the third derivative of -122 - 5*x**2 - 3*x**v + 122 wrt x.\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**4 - 5*t**3 - 2*t**3 + t + 0*t + 5*t**3 to n*t**3 + k*t + m*t**4 + q + p*t**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x - 93 - 9 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 25379.3214 to zero dps.\nAnswer: 25379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 4578575830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 7:57 AM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.954 - -0.046. What is the second biggest value in g, -3\/2, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 6:39 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**4\/24 + 13*j**3\/9 - 71*j**2\/12 + 23*j\/3 + 111. Let g(w) = 0. Calculate w.\nAnswer: 1, 2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199226651 to the power of 1\/4, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/90 and (-2112)\/(-3240) - (3 + -2).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -6. Suppose 3*a + 3*u = -0*a + 39, v*a + u - 26 = 0. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebeeebeeeeeeehbbheb. Give prob of sequence hh.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + l - 2*l + 4 - 4 + l - 2 + 2 - 2*l + (2*l - 6*l + 2*l)*(-2 + 6 - 2) + (-1 + 3 - 4)*(2*l + 0*l - 3*l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38065973 is divided by 59.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 3*z - 2*z)*(3 - 4 - 1) to f + i*z and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -622 and 13\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3226980 + v + 3226980.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 24 - 129. Let k = 50 - g. Let i = 119 - k. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.036 less than -115?\nAnswer: -114.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 8:15 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.3, -0.17, 1, -94 in descending order.\nAnswer: 3, 1, -0.17, -0.3, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5490 divided by -15\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5818346.\nAnswer: 2, 863, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 8:35 PM?\nAnswer: 7:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48979064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -1\/82?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-25)\/((-275)\/(-94)))\/((-3)\/(-44))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/(-78))\/((-78)\/12).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10502130 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 837.0757 litres?\nAnswer: 837075.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 8:44 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 772?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11450788 rounded to the nearest 10000?\nAnswer: 11450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 701, 1374, 2007, 2582, 3081, 3486, 3779, 3942?\nAnswer: 3957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 3\/3922?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -78. What is the remainder when c is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 3*n + 308857*n**2 - 308854*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 69, 196, 387, 642, 961, 1344?\n\"Answer: 32*i**2 + 31*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.604?\nAnswer: 1.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + g**2 + 5*g - 2. Let n be i(3). Let p be (2\/16)\/(18\/(-164 + 20)). Sort 4, n, 2, p in increasing order.\nAnswer: n, p, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-3)\/(-105))\/(4\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17108855?\nAnswer: 5, 1823, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102831826.\nAnswer: 2, 51415913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of u**5\/12 + u**4\/24 - 43*u**3\/6 - 24*u**2. What is the units digit of l(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 12*l + 12. Let a be v(-4). Let k be (a\/10)\/((-69)\/230). Determine r so that -4*r**2 - 17*r - 8*r**3 + 34*r - 17*r + k*r**4 = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j. Let r(f) = f + 5. Let s(n) = 2*n + 5. Let x(q) = -q - 1. Let t(i) = 2*s(i) + 2*x(i). Let z(l) = 8*r(l) - 5*t(l). Determine m(z(b)).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1312 is divided by 53.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1233 times 164.6\nAnswer: 202951.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-1) - (-35)\/(-3). Let m = i - -79\/6. Which is smaller: m or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 2)\/(100\/14). Let z = 2092931\/531150 - 4\/10623. Let m = c - z. Find the common denominator of m and -41\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5826 + 5825.981595. Let n = a + 0.019. Round n to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n**3 - n**2. Suppose 3*g = -2*v - 0*v + 5, -g - 1 = -2*v. Calculate j(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/16016 and 71\/1056.\nAnswer: 96096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156.92 times -0.36?\nAnswer: -56.4912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 less than -12092\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7\/6 + -3\/2. Sort x, 1, -4, -1\/4 in descending order.\nAnswer: 1, -1\/4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011819 rounded to five decimal places?\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p + 6. Let g(r) = -5 - 51*r + 2 - 2 + 60*r. What is -7*g(i) - 6*u(i)?\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457685 is divided by 152548?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/4)\/(-1*1\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 8:09 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhojb. What is prob of sequence joh?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let z = 0.6735 - -920.6265. Let n = z + -965. Round n to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 18181*b + 7372905. Give u(415).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 5051234?\nAnswer: 5051234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (11 + -2 + -2)\/1. Let u(i) = -6*i - 11 - i**3 + 13*i**2 + z*i + 0*i. What is the units digit of u(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -294, -8, -6, 4, 5 in descending order.\nAnswer: 5, 4, -1, -6, -8, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.48 + -1.21. Let y = -34.27 + g. Let z = y + 34.999958. Round z to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-2 + (-8)\/(-3)). Let y(x) be the second derivative of x - 1\/24*x**4 - 1\/40*x**5 + 1\/84*x**7 + 0*x**3 + 0 + 1\/60*x**6 + 0*x**c. Factor y(o).\nAnswer: o**2*(o - 1)*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23700 (base 8) to base 16.\nAnswer: -27c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (0 + 32 + -51).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-4739)\/21) + 9\/(-108)*-4. Solve -25*i = -22 + w for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3764960, -7530107, -11295254, -15060401?\nAnswer: -18825548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/17 + -65\/119. Let o = -65\/24 - -27\/8. Put o, b, -4 in descending order.\nAnswer: o, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*a = -390*a - 345*a - 16620 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*z - 10 = z, 3*z - 20 = -x. Suppose 5*d - 101 = -4*b, -20 = -b + x*d - d. Calculate the remainder when 10 is divided by (4\/(-12))\/((-2)\/b).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-27)\/72)\/(((-6)\/(-4))\/1))\/(105\/5460).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 541 + -536.67. Let k = 4.13 - f. Which is the third biggest value? (a) k (b) 0.01 (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.2113 - -0.0113. Let z = 5\/158 - 173\/474. What is the closest to z in -1\/2, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164108031.\nAnswer: 3, 54702677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Let r = -0.12 - -0.138. Let n = -0.418 + r. What is the biggest value in -5\/3, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168483283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 6 = g - 4*g + 5*g + 4*a, 3*g + 1826*a - 4121 = 1369 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 828028278 a multiple of 1386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/5 - 1628*l\/5 + 51072\/5.\nAnswer: (l - 1596)*(l - 32)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aacaaaaaaaacaacaaaaa. What is prob of picking 2 a and 1 c?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*-2 + 2 + sqrt(5) + 3.\nAnswer: -7*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*p - 2*r - 67, -4*p - 2*r = -28. Let c be (-2)\/6 - (-3)\/p. Let t = c - -5. Calculate the smallest common multiple of 4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-331 - 505 + 621)*(9 + 6 - 2*h - 14).\nAnswer: 430*h - 215","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 166 - -0.0563\nAnswer: 166.0563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -1\/30*x**5 - 9\/40*x**6 + 11*x**2 + 0 + 0*x + 0*x**4 - 19*x**3. Differentiate g(s) wrt s.\nAnswer: -81*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -3. What is the lowest common multiple of p and (8\/(-14))\/((-14)\/49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 13. Let x be k(8). Suppose 2*d - 4*q = -560000, x*q - 1400000 = 5*d + 3*q. What is d rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 27.84. Let z = b - 0.84. What is the nearest to 2 in 14, -0.4, z?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**10*o)\/o)**(-36)*o**(1\/8)*(o*o\/(((o*o**(2\/19))\/o)\/o))\/o)**(3\/35) assuming o is positive.\nAnswer: o**(-163239\/5320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005549955 rounded to 6 decimal places?\nAnswer: 0.000555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 6*i + 3. Suppose -3*j - 21 = -5*z, -2*j - 4 + 0 = 0. Suppose 3*k + 22 = z*g + 7, 4*k - 4 = 0. Does 2 divide s(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4*-6*sqrt(50)\/sqrt(2))\/(3*sqrt(30)\/(sqrt(36)\/sqrt(6))).\nAnswer: -40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 + 2.3. Let j = k - -3. Put 0, j, 1\/8 in decreasing order.\nAnswer: j, 1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -o - 301613 + 301623, 3*w + 2*o = -35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-330*(-15)\/750)\/((-4)\/(-50)*50\/40)?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 678506 + -1?\nAnswer: 678505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*d + 21 = 0. Suppose -2*g + 3*f - d = 2*g, 0 = 4*g - f - 3. Solve 0*s + 2*s = -4*m - g, 0 = 3*s - 4*m + 23 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/6)\/(22536\/4509 + -5)?\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 0. Let b = d - -4. Suppose 0 = -y + b. Calculate the smallest common multiple of 5 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -3*p**2 + 1\/60*p**5 + 0*p**4 + 0*p + 0 + 0*p**3. Let x(t) = -171*t + 347*t - 169*t. What is x(f(r))?\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/189 and -13\/621.\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2081*u = 2105*u - 264 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872)*2 + 4 + 1 + ((sqrt(1872) + (sqrt(1872) - sqrt(1872)*-2))*-1 + sqrt(1872) - sqrt(1872) - (0 + sqrt(1872) + 0)))**2.\nAnswer: -360*sqrt(13) + 16873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -450232 (base 6) to base 13.\nAnswer: -141c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 3 + 0*l**2 - l + 1\/6*l**3. Let y(c) = 21*c**2. Calculate v(y(b)).\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(544)*3*1)\/(2*sqrt(8)\/sqrt(256)).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/(9\/(-24)). Suppose d*z - 2 = 3*z. Find the first derivative of z*r**2 - 6 + 2 + 1 wrt r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*p - 191 = 0, -21*o - 68 = 69*o - 91*o - 6*p for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.48686 + -4.68686. Let s = -4.7 - -5. What is the third biggest value in x, 40, s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 675 - 678. Which is the nearest to -0.04? (a) h (b) 5 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f**3*n**6 - 3*f**3*n**2 - 1376*f**3*n - 2*f**2*n**2 + 21*f**2*n - 3898024*n**6 wrt n.\nAnswer: 240*f**3*n**3 - 467762880*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from ntgnuulunnttn.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 435661.8*54\nAnswer: 23525737.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5875 + 5897 - ((-1 - 80) + (1 - 0))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + 2. Let v be y(-13). Suppose -10*a = -13*a + v. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -95.5 (b) 126 (c) -657\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19914.21 centimeters?\nAnswer: 199.1421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 32055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + o**2 - 7*o - 2. Let v(z) = -z**2 + z + 2. Give -6*d(i) - 6*v(i).\nAnswer: 6*i**3 + 36*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 80*y + 1761. Let f be b(-22). Calculate the greatest common factor of 3 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - 19*v + 18*v + 3*v**5 + (-v + 2*v**4 + v)*(-2 + 2 - 3*v).\nAnswer: -3*v**5 - 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 1 - -3 - (-503 - 28). What is the highest common factor of i and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -626, -544, -402, -194, 86, 444?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2997904\/858 - 26\/429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*f**2 - 195\/2 - 35\/4*f.\nAnswer: 5*(f - 13)*(f + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 2. Suppose w = 4*y - 3. Let r(p) = -p**2 - 3*p. Let z be r(-4). Sort z, 4, y in ascending order.\nAnswer: z, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.25 to 1 dp.\nAnswer: -7.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(1*(-14)\/4)\/(3290\/(-1880)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 21. Put -0.2, 5, 0, r in descending order.\nAnswer: 5, r, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 95582, 191323, 287066, 382811, 478558?\n\"Answer: g**2 + 95738*g - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3, -5\/7, -1.9, -0.1194?\nAnswer: -0.1194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100*v - 30*v - 55*v)*(-2*v**4 + 0*v**4 + 0*v**4).\nAnswer: 370*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27918861?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, 1, 8 in descending order.\nAnswer: 8, 5, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/((-4)\/(64\/6)). Let u be (-1)\/b*2*-4. Let l be (3 + u)\/(-5 + 3). Let p(d) = -d + 1. Calculate p(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -134 + 1788. What are the prime factors of u?\nAnswer: 2, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -273403065 - -13?\nAnswer: -273403052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 5. Let j = -109172 - -109177. Let r = 5 + -10. What is the third biggest value in j, r, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/((-70)\/(-4)))\/((-888)\/185)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 106 + 30 = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1137882156?\nAnswer: 2, 3, 31, 751, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*i + 2 = -308*i + 2*o, 2*i + 5*o = 40. Solve -i*m + 10*m - 25 = 0, 3*w + 12 = 3*m for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 9*k - 6. Let x be a(6). Suppose -g = 2*g - x. What is the greatest common factor of 80 and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*s + 39*s - 3146 for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11033 + 743. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g**2 - g - 1. Let v(y) = -6*y**3 + 10*y**2 - 2*y - 8. What is -4*q(m) + v(m)?\nAnswer: -2*m**3 + 6*m**2 + 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 30938.\nAnswer: -185628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*c**2 + 4\/5*c**3 - 4\/5*c + 8.\nAnswer: 4*(c - 10)*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**3 + 2*u**2 - 2. Let d = 3 + 2. Let n(p) = 20*p**3 - 6*p**2 + 6. Suppose 2*z - 28 = -0*z. Give d*n(y) + z*q(y).\nAnswer: 2*y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -4 (c) 2806 (d) -1\/4 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from qiqqiiiiiiiiii.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*g = 30*g - 11277. Is g\/((-3 + 1)*(-14)\/28) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 3*f + 2*f + (-4 + 5 + 0)*(-8*f + 8 - 8).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -3*z + 3. Let k(d) = 5*d - 5. Let r(u) = u**3 + 12*u**2 + 11*u + 8. Let l be r(-11). What is l*c(s) + 5*k(s)?\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*s**3 - 3677*s**6 + 4*s**3 + 28575*s**2 - 27361*s**2 wrt s.\nAnswer: -441240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, 14, 866\/53, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 339937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32544 a multiple of 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - 13 - (959 - 968).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcscakf. What is prob of picking 1 a, 1 k, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 87. List the prime factors of g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*-2*3*5)\/(-2*sqrt(70)\/(sqrt(35)\/sqrt(5))).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18151.98 litres in millilitres?\nAnswer: 18151980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(81)\/sqrt(3))*-2)**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**2\/7 + 160*b\/7 = 0?\nAnswer: 0, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 11:03 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 28\/8 + 4\/(-24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 - u - 2. Let j(l) = -6*l**2 + 2*l - 11. Let k(b) = b**2 + b - 1. Let o(m) = -j(m) + 5*k(m). Give 6*o(a) + 17*p(a).\nAnswer: -2*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69 + -84)*(-7)\/(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5}. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -19044700 rounded to the nearest 100000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/2*m + 1\/8*m**2 + 19\/8.\nAnswer: (m - 19)*(m - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2\/3 - 52773*i + 15170976 = 0.\nAnswer: 288, 158031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 18 = -2*s. What is the units digit of (-4)\/18 - 256\/s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -26, -5 in descending order.\nAnswer: -2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)\/(j\/(j*j*j\/(j\/(j\/j**(-2)))*j)))\/(j**(2\/3))**(-3\/4) assuming j is positive.\nAnswer: j**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 greater than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 13*u + 267. Let c be x(-19). Suppose 0 = -4*j - 22 + 46. Let g be (-6)\/9 + 22\/j. Solve -2*z = g*z - c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 8468 and -6\/125 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*s = -43*s - 1115 - 453 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**6\/2 + f**5\/4 - 25*f**4\/12 - 5*f**3\/6 + 5*f**2 + 9*f. Find r such that i(r) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4127415*k**3 + 6619536*k wrt k?\nAnswer: -24764490*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 2 - 21 - (1130 - 1034).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-160)\/(-144)*(-4)\/((-9620)\/39).\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7247428739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4911000 rounded to the nearest 100000?\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7176320, 14352658, 21529022, 28705424, 35881876?\n\"Answer: 2*d**3 + d**2 + 7176321*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 58*m**3 + 8*m**2 - 30*m + 48. Is 21 a factor of o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2307*r**4 + 8*r**2 - 2033*r**4 + 4*r**2 + 1 wrt r.\nAnswer: 6576*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.4 + 0.4. Let f = 0.2 + -0.4. Let k = f - 0. Which is the second smallest value? (a) y (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -1 - (0 - 3)) + 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**5\/2 + 3*t**2 + 23*t - 25. Let h(z) be the first derivative of g(z). Differentiate h(c) with respect to c.\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - j**2 + 0*j)*(-j - 2*j + j) - 5*j**3 - j**3 + 3*j**3 + 254999*j - 254999*j + 3144*j**3 + (-j**2 + 3*j**2 - 4*j**2)*(2 + 2*j - 2).\nAnswer: 3139*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*u - 337*u - 38 = -m, m + 4*u + 34 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 979581, 1959646, 2939711?\nAnswer: 3919776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 55 + 50 = 0. Let o = u + -8. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + -3. Let v = -18 - p. Sort 0, v, -4.\nAnswer: -4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.137 + 0.09. Let y = 0.667 + p. What is y rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 17. Let h(u) = u**2 + 9*u + 15. Let b be h(f). Let s = -9 - b. Put 5, 0, s in descending order.\nAnswer: 5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 85*z - 35. Let q = 4106 - 4112. Let v(h) = -7*h + 3. Calculate q*c(o) - 70*v(o).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214822.\nAnswer: 2, 37, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 10, 6596, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, -10, -71, -178, -337, -554, -835, -1186?\n\"Answer: -j**3 - 14*j**2 + 28*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 1:55 AM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 - 16*n + 23. Let s be i(-9). Suppose 4*u + 8 = 4*o, -o - 3 = s*u - 5. Solve k + u - 16 = -5*c, 3*c = k + 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*x + 48. What is the derivative of -x*h**2 + 8*h**2 + 2 + h**2 wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/6 - (3 - 6)\/18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42, 96, 166, 252, 354, 472?\n\"Answer: 8*a**2 + 30*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 960?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + p**2 - 1. Let l(s) = 36*s**3 - 32*s**2 + 32. Give -96*c(j) - 3*l(j).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.02098 weeks to seconds.\nAnswer: 26623888.704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from sgpiv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 20. Let h = f + 16. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r*r**(-7)*r*r**(-8)*r**(-14)\/(r**(2\/7)*r) assuming r is positive.\nAnswer: r**(-191\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*x + 2 = -8, -3*x + 34 = -5*l. Let d(j) = 2*j - 3*j + 672 - 675 - 2*j. Does 12 divide d(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7695223301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 13, 0.9, -1\/6 in ascending order.\nAnswer: -0.5, -1\/6, 0.9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2600 + -1051. Let w = 8170037\/6 + -1365307. Let t = f - w. What is the common denominator of 79\/2 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 - h**2 + 28*h + 30. What is a(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 665169541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 11:40 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*h + 35562336 + 5544147. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 11 = -44. Let l(x) = -10*x + 4 + 6 + w*x**2 - 12*x**2. Let v be l(-10). What is the highest common factor of v and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 - (1 + -3) - -3. Suppose 4*s + c = 0, 4*r = 4*s - 2*s + 2076. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 357 + -318. Let s be 32\/208 + 3738\/j. Calculate the greatest common divisor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17 - 40?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -172*c**3 - 23*c**2 + 18*c + 3. Give t(1).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200 (base 5) to base 12.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -30183360 divided by -184\nAnswer: 164040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 9 = -l. Let a(j) = j**2 + j + 1. Let v(t) = -2 + 2*t**2 + 4*t - 7*t**2 - 7*t. Give l*a(n) + v(n).\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 a when two letters picked without replacement from {w: 7, r: 3, m: 3, a: 1}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14416052.\nAnswer: 2, 7, 514859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26*-0.27.\nAnswer: -0.0702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -262 in -2\/5, 3, -3\/92, 0.53?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43\/137 + 2295\/6439. What is the third smallest value in p, 1\/5, 0.4, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 0)\/((-2)\/62). Suppose h + 3*t = 2*t - 1, 0 = -5*h + 3*t - 45. Let r be (248\/10)\/(h\/(-30)). Calculate the greatest common divisor of u and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.81 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 - 25. Suppose 0 = t + v*t - 24. Suppose -45 = -f - 43. Solve -5*o - r - t = 0, -1 = -o - f*r - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -262, 124, 2 in increasing order.\nAnswer: -262, 2, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 109589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -20, 17*x - 18*x = -5*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/17, 805, 7, -2\/19, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-11.93764\nAnswer: -5.96882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 2*f - 1. Let n(b) = 8*b**2 - 22*b + 11. Let z(s) = -2*n(s) - 22*p(s). Let q(m) = -12*m**2. Give q(z(d)).\nAnswer: -432*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 + 468*p.\nAnswer: 2*p*(p + 234)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.2588.\nAnswer: 0.07764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*u + 68, 0*s + 4 = -s. Let k = u - 11. Sort k, -4, -5 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 30 = 7*l. Let s = l + 32. What is the least common multiple of 6 and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**3 - 14*z**2 - 28*z + 69. Let a(v) = 2*v**3 + 8*v**2 + 15*v - 35. Determine -7*a(r) - 4*j(r).\nAnswer: 2*r**3 + 7*r - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*p + 37 = -19, p - 81 = 4*f. Let v(y) = -2*y**3 - 40*y**2 + 2. Let j be v(f). What is the greatest common divisor of j and 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*d*i**2 + 3579*d*i + 938*d + 3*i**2 + i + 38 wrt i.\nAnswer: -68*d*i + 3579*d + 6*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002979128048 to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 50833*v. Let c(t) = 5629*t. What is i(c(z))?\nAnswer: 286138957*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (494\/390)\/(1311\/1150).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 7:39 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p**3 - 7*p**2 + 6*p - 7. Let j be (-72)\/(-40)*(-40)\/(-12). Let n(d) = -d**3 + 6*d**2 - 5*d + 6. What is j*i(h) + 7*n(h)?\nAnswer: 5*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 3*m - 34 = 0, 35*m = 3*l - 14*m - 398 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 475690934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -2 - (-12 + 10). Suppose g*r + 34 = 3*n - 161, 4*n - 235 = -3*r. What are the prime factors of n?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -55, -3, -0.8, 9 in descending order.\nAnswer: 9, -0.8, -3, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*u + 18, 5 = 3*x - 5*u - 14. Suppose m = 4*q + 19, -2*m = -0*q + x*q - 16. What is the remainder when m is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*a - 232, -j + 0*a + 76 = -a. Find the third derivative of 3*z**2 + 10*z**5 - 14*z**3 - j*z**2 - 8*z**5 - z**5 wrt z.\nAnswer: 60*z**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -38010, -0.1, 124?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113963\/57680 - -9\/11536. Let d = 1\/20896 + 32323\/10448. Find the common denominator of n and d.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/((s**(2\/9)*s*s)\/s)*s*s)**(1\/76)\/(s**(-10)\/(s**(-2)*s)) assuming s is positive.\nAnswer: s**(6181\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 45 = -3*y + 6*y, -4*y + 24 = 2*j. Calculate the remainder when 1662 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25193335.\nAnswer: 5, 19, 265193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, -25, 3, 0.4, -3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2032 and 149098.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3431, 27501, 92829, 220043, 429771, 742641, 1179281?\nAnswer: 1760319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -106, -222, -362, -538, -762, -1046, -1402?\n\"Answer: -2*b**3 - 102*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1\/3 (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*b + 4*o, -3*o = 4*b + o - 24. Suppose 4*a - b = 75. Find the common denominator of a\/(-66) + -2 + 2 and -41\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*s + 2*c + 2, -2*s + 1 = c. Suppose 0 = q - 4*q + a + 10, q - 10 = s*a. Solve 10 = -4*w - q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 9*y**2 + 9*y + 19. Let g be t(10). Let s be 2\/(-2 + 3) + -1. Calculate the greatest common divisor of s and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1583 - -1531. Let o(a) = 36*a - 1. Let n be o(-1). Let s = n - i. Calculate the highest common factor of s and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 483.9 + -462. Let v = 22 - c. Let l = 9 + -9.1. Put -4, l, -0.4, v in descending order.\nAnswer: v, l, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 16, r: 4}. Give prob of picking 4 r.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmxmmxzzmmmxkzk. Give prob of sequence kzmx.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*m - 61114583 = -17509530 - 1541204897. Let c be 5\/(-1) + 1 - -1. Let o be m\/9 - c\/9. What is o rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 520 - 1039\/2. Which is the fourth biggest value? (a) -1 (b) -0.4 (c) 8 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3885a (base 14) to base 7\nAnswer: 1115543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 295.8 + -81.5. Let l = 225 - j. Let n = l + -10.69943. Round n to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((24*p + 9*p - 13*p)*(-3 + 2 - 1) + 37*p + 123 - 123)*(0 + 3*p**2 + 0*p**2 + 0).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 1:47 AM?\nAnswer: 5:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*j - 5*j + 14*j. Let n(c) = 5*c - 9. Let m(r) = 4*r - 10. Let p(v) = -4*m(v) + 3*n(v). Give p(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 divide 97819213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 3. Let k be y(6). Which is smaller: -6 or k?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11507 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 9 - 2697*b.\nAnswer: -2697*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-462)\/(-20)*164\/861\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2345, 2338, 2319, 2282, 2221?\n\"Answer: -u**3 + 2346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-4)*912\/2128*(-20)\/(-255).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 - 8*u**3 - 15*u**3.\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 6*v**2 + v + 6. Let s be u(-6). Suppose s = -4*y + 20, k - 4*y = -y + 23. Let r = 72 - k. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347784?\nAnswer: 2, 3, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39682891?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 347031809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 6*d + 10*d - 60 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -81 by -4.\nAnswer: 81\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 21*a**2 - 11*a + 180. Determine i(0).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 736041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-3564)\/(-1152))*30\/(-200)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.063 + 0.063. Put m, 5\/9, 4, 0.2 in ascending order.\nAnswer: m, 0.2, 5\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-54094)\/215)\/((-16)\/17285) - 18\/(-48) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 9*w**2\/2 + 95*w + 46. Let h be y(-14). Is h greater than or equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*b = -97*b + 4. What is the lowest common multiple of 238\/35 + b\/20 and 203?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + 25?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 9 + 2)*(-54*j**2 + 57*j**2 - 55*j**2).\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18515 - 18495. What is the greatest common divisor of x and 10460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 26 = -74. Let s = -4 + 0. Put s, i, 2, 3 in descending order.\nAnswer: 3, 2, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/4384 (b) 1 (c) -10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -74*v - 227. Let q be j(-3). Suppose -x = n - 2, -4*n - 2 = -2*x - 4. Put 5, -4, n, q in descending order.\nAnswer: 5, n, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 20*l**3 - 4*l**2 - 10. Let a(r) = -r**3 + r - 1. Let i(u) = -10*u**3 + u**2 + 3*u. Let t(g) = 3*a(g) - i(g). Let p(o) = 7*t(o) - 2*w(o). Give p(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9167*f*r**3 - 4*f + 19*r**3 - 10863 wrt r?\nAnswer: -27501*f*r**2 + 57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.2, 5, 36, -16, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/24 (b) -0.3 (c) 0.3 (d) -0.303 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*r = 10. Suppose r*j = -3*i - i - 6, 0 = -4*i - 16. Suppose 5*l = j*x + 158, 2*l - 5*x - 91 = -l. Is l a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 6089563262?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**8\/420 + y**6\/120 - 4*y**3\/3 - 4. Let x(w) be the third derivative of l(w). Find the third derivative of x(h) wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4777 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q\/(q*q**3))\/q)**11*q\/q**0*q\/q**(-2\/15))**(-14\/13))**(-31) assuming q is positive.\nAnswer: q**(-200942\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 182 + -92. Let r(w) = -k + w + 90. Let s(g) = -24*g**2 - 22. Let y(c) = c**2 + 1. Let t(v) = 2*s(v) + 44*y(v). Give r(t(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2459.08 - -2459. Which is greater: y or -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 729 and 891.\nAnswer: 8019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.91 * -1.85\nAnswer: -3.5335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(0 - 1 + 2 - 2 + 2 + 2 + (-2 - 3 + 3)*(-1 + 2 - 3) + 2 - 1 - 4)*(-4*k**2 + 3*k**2 - 3*k**2).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09061 or 473?\nAnswer: 0.09061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - 9*p + 4. Let w be i(-8). Is 1\/4 - (-1413)\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**3\/5 - 76*z**2\/5 - 262*z\/5 + 68 = 0. Calculate z.\nAnswer: -34, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1935\/91 + 5\/364. Calculate the common denominator of w and 6\/27 + (-1414)\/(-36).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 2 = 5*q + 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/283478 and 5\/87224?\nAnswer: 1133912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 6. Let a = -22 + 34. Calculate the greatest common divisor of a and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*h - 55 = -415*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2129813*1\nAnswer: -2129813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 516*z**3 - 3*z**2 + z + 1. Suppose -x + 2*i = -2*i + 15, -2*x = -3*i + 10. Does 45 divide j(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -3*z - 8. Let a be 15 + (4\/5)\/((-8)\/40). Suppose -4*t - a = -5*k + 54, 5*k = 3*t + 60. Calculate the least common multiple of z and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -740\/7. Let i = 0.1 + 0. Which is the third biggest value? (a) o (b) -1\/2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence izzi when four letters picked without replacement from {i: 2, e: 2, z: 5, a: 8}?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 r, and 1 g when three letters picked without replacement from {j: 3, l: 2, b: 1, g: 5, d: 6, r: 2}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7842253 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + 200\/15)\/((-1)\/21).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Evaluate ((-642)\/(-330) - 2)*365 - -20.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15093 divided by 5031.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2929319051?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 125*n**2 + 29859*n - 1877142. Give t(63).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25937 - -1153. Round a to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74.4392 - 74.6292186. Let v = -0.19 - h. Round v to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10504769?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5)*v)**(-6)*((v\/(v*v*v**2)*v*v)\/v)**(-1\/2) assuming v is positive.\nAnswer: v**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28940380991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*h - 957 - 4653 = 0 for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, -61, -125?\n\"Answer: -64*m + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2 + 1. What is the hundreds digit of 2 + q - -3*42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {m: 5, v: 9, f: 4}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6381984*n - 531 = 6382161*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540518.\nAnswer: 2, 11, 79, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1805455*b**4 + 3282127.\nAnswer: 7221820*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 35\/(-50) - ((-64)\/20 - -4). Does k = 132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24852619?\nAnswer: 11, 2259329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*u**2 - 400 - 25*u**2 - 16*u**2.\nAnswer: 5*u**2 - 400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.288 + -2.288. What is the nearest to h in 4, -5, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(5) - (sqrt(5)*3)**2)*2.\nAnswer: -180 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -867245?\nAnswer: 867247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.4 (b) -7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -18. Let h = 21 - b. Let a be 1\/(-6)*(-9)\/(-6)*60\/90. Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -31, -72, -143, -250, -399, -596?\nAnswer: -847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*r - 15. Suppose -2*g = -4*m - 44, -3*g - 51 = -6*g + r*m. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 436*f**3 + 1392*f - 6*f**5 + 80*f + 2 + 5*f**5 - 5*f**4 + 4*f**4 + 7026*f**2 - 7028*f**2 wrt f.\nAnswer: -60*f**2 - 24*f + 2616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 14. What is the second derivative of -42*a**4 + 3*a - a + 47*a**b wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 11. Let z be i(8). Suppose 148 = z*o + 13. Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79028443?\nAnswer: 13, 41, 67, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.52431 rounded to two dps?\nAnswer: -5.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 33 + 0*r + 46.\nAnswer: r + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**3\/2 + 13934*x**2 - x\/2 - 13934 = 0.\nAnswer: -27868, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -20. Let c = 9 + v. Let y be 45\/(-2)*8\/c. What is the greatest common factor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18344369 is divided by 352775.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(80))**2*-6.\nAnswer: -51\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11\/112 (b) 2\/9 (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1795956 and 2622.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + x**2 - 1 + x + 3. Let h be q(-2). Suppose 2*w + h = -2*z, -6*z + 3*z + 3*w - 3 = 0. Put -1\/6, -5, z in descending order.\nAnswer: -1\/6, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2898259?\nAnswer: 7, 13, 31849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 145.5 + -145.8. Which is the nearest to 1\/2? (a) -2\/5 (b) -9 (c) h (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(-4)\/8*14. Let i be (-42)\/12*(x - -1). What is the greatest common factor of i and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 1 (b) -55 (c) -3 (d) 2\/3 (e) -2\/45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/19)*u)\/u**(-6\/5)*(u**0)**(-4\/5))**31 assuming u is positive.\nAnswer: u**(6169\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 10, 6, 0, 1209 in descending order.\nAnswer: 1209, 10, 6, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m + 22644 = -36*m. Let g = m - -1910. Suppose -6*x + 272 = -2*x. Calculate the remainder when x is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -0.04, -3, 1\/43, -0.2, 5 in decreasing order.\nAnswer: 5, 4\/9, 1\/43, -0.04, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 - 2*c + 1. Let g(f) = 7*f**2 + 4*f - 3. Determine 2*g(m) + 5*q(m).\nAnswer: -m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2*(sqrt(119) - (sqrt(119) + 2*sqrt(119))) - (-1*2*sqrt(119) + sqrt(119))))\/(sqrt(28)\/sqrt(100) + sqrt(112)*-2) + -2.\nAnswer: -15*sqrt(17)\/13 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(9*(-40)\/15*(-42)\/112)\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/6 + 14\/(-21)*3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18565386?\nAnswer: 2, 3, 7, 442033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26722.0027397 - 26722. Round m to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 48*b**3 + b**2 - 3*b + 2. Determine l(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 53. Let k = r + -58. Let m = k + 41.00119. Round m to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -838.300967 rounded to one dp?\nAnswer: -838.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u + 8. Let a be 0\/(182\/14 + -22). Let o(w) be the second derivative of -9\/2*w**2 + 15*w + 4\/3*w**3 + a. Give -6*o(x) - 7*z(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + (sqrt(425) - (sqrt(425) + -4 + -2*sqrt(425))) + (1*sqrt(425) + sqrt(425) - sqrt(425))*2 + (sqrt(425) + -2 + 4)*-1)**2.\nAnswer: 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 0.18 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 387*i - 228726. Determine v(591).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(200)*1 + -1*sqrt(200) + -2 + 3*(sqrt(200) + 0 + 1).\nAnswer: 6 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(54\/4) - (-592)\/333. Solve z*c = 6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 11:57 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*j**3 - j**2 + 4\/3*j + 0 = 0. What is j?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = -10*z + 543. Let d = -72 + z. Let k = 16 - 10. Calculate the remainder when d is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nooon. Give prob of picking 2 n and 2 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = -0*w, -30*y - 3*y - 3*w + 1224 = 120*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i - 10*i. Let r(j) = 11*j**3 - 3*j**2 - 5. Let s(b) = 2 - 5*b**2 - 4*b**3 + 2*b**2 + 4*b**2. Let c(q) = 3*r(q) + 8*s(q). Determine c(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/70337?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 + 3 = 0. Suppose -a*l - 31576 = -l. Is l\/(-30) - 10\/75 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11699, 23344, 34933, 46466, 57943, 69364, 80729?\nAnswer: 92038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -2*x**6\/15 - 23*x**3\/6 - 3*x**2. Differentiate u(l) wrt l.\nAnswer: -48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -4. Suppose 4*k + 72 = 4*f, -f + 0*f - c*k = -24. Suppose 21*v = 16*v + 110. Calculate the lowest common multiple of f and v.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**12\/(r*r**(19\/5)*r)*(r**(1\/7)\/r)\/(r**12\/r))**(-2\/31) assuming r is positive.\nAnswer: r**(396\/1085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) 1 (b) 1491 (c) 3\/4 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 1\/12*w**4 + 5*w + 0*w**3 + 0 + 0*w**2. Let j(y) = -1. Let u(f) = 4*f + 6. Let n(o) = 6*j(o) + u(o). Determine t(n(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12090 and 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15105299*t**2 - 16679215 wrt t?\nAnswer: -30210598*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 2*j**4 - 2*j**4 + (3 + 0 - 2)*(3*j**4 - 4*j**4 + 2*j**4) + (-4*j**3 + j**3 + 7*j**3)*(2*j - 4*j + 3*j) + j**4 - 3*j**4 + j**4.\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**2 - b**2 - 7*b**2 - 176*b - b**2 - 2*b**2 - 6 to the form j + h*b + p*b**2 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70\/21*1530\/(-700)*-14.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-40) + (-38)\/(-10). Suppose 5*n - 2 - 3 = 0. Put 3, n, v in increasing order.\nAnswer: n, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381451779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 305796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + 1*(-3)\/(-1). Suppose 4*f - 2*t = 36, f + a*t + 1 = -0*f. Is (-2)\/f - 400\/(-28) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/4674 and 17\/((-125460)\/852) - 4\/(-24).\nAnswer: 23370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*10*2\/4. Let y = 25080 - 25084. Put y, -30, n in ascending order.\nAnswer: -30, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 9) to base 8\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -1306939?\nAnswer: -1306924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1059+2\nAnswer: -1057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*sqrt(208)*-3*5)**2*-2.\nAnswer: -842399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -584 = 328*n - 332*n. What is the remainder when n is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4732 + -4729.6. What is the smallest value in 10, 5, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3762367316 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - t**3 - 5*t - 34 to the form y*t**2 + f + r*t + k*t**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18875 and 6290.9484.\nAnswer: -12584.0516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6 + 61\/3. Suppose -3*k - 5*y - 34 + 9 = 0, -4*y - m = -3*k. Suppose 0 = 2*q + 2*q - 8. Solve q*v = -k*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -115, -394, -857, -1504, -2335, -3350, -4549?\n\"Answer: -92*p**2 - 3*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121 - 118 - 146 + 339*b + 385.\nAnswer: 339*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**4 - 25902*f**3 - 723432*f**2 + 3308288*f = 0.\nAnswer: -12923, -32, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 212463 (base 8) to base 12\nAnswer: 35097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113102503 (base 6) to base 4.\nAnswer: -20002220013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-1)*(-4)\/((-48)\/(-117)). Suppose -3*s + 0*s = -b. Suppose -30 + s = 2*t. What is the closest to -1\/2 in 5, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -152*f + 152*f + 40*f**2 - 2*f**2 + 8*f**2 - 2*f**2 + (0*f + 3*f - 5*f)*(2*f - 5*f + f) to the form u + k*f**2 + m*f and give k.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16225024 and 20281280.\nAnswer: 81125120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86 - -94) + 11\/(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 1.745084.\nAnswer: -6.980336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/20)\/((-1)\/(-2)). Let n be 2\/4 + 19\/2. Let i = n + -19\/2. Which is the second biggest value? (a) i (b) 3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101110111101010010 (base 2) to base 9\nAnswer: 1312021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -10. Let f = y + -15. Let n = 4.1 + f. Which is the nearest to n? (a) 5 (b) 0 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 6*h - 87. Let m = h + 87. Let i = -2\/13 - m. Which is the smallest value? (a) 0.4 (b) 2\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -713.727276 rounded to one decimal place?\nAnswer: -713.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p + 28. Let d(k) = k**2 + k - 7. What is -5*d(a) - w(a)?\nAnswer: -5*a**2 - 2*a + 7","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 143028 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -a459 (base 11) to base 10\nAnswer: -13858","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*i**2 + 0 + 2\/3*i**4 - 4\/3*i**3 + 4\/3*i.\nAnswer: 2*i*(i - 2)*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x - 1560 = -63*x - 88*x for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.43, 0, -3 in descending order.\nAnswer: 2.43, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2))\/((-3)\/18). Suppose -m*x + 3031 = 292. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2980 and 59898?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -4*n + 52 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-36) + 34\/9. Suppose -2*v + c = -798, 3*v - s*c - 815 = 382. Let p be (-213)\/v - 3\/(-7). What is the second biggest value in -3, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-2)\/4*0. Suppose -2*z + a = -6. Solve 5*x - 15 = 0, 0 = -z*g + 3*x + 2*x - 21 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1091 - 432. Let z = 1338 - u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611747671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 9*k - 22)*(0*k + 9*k - 4*k)*(-k**2 - k**2 + k**2).\nAnswer: 45*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*-8*(-490)\/560.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 + (118 - 38) + -5 - (1 + -162).\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13456755000134 - 13456767564516.000154. Let s = t + 12564541. Let a = s - 159. Round a to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*s = 29*s + 24 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70931195 is divided by 400?\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g\/(g\/(g**(-1\/11)*g))))\/(g*g\/(g\/(g**(-10)*g))))\/((g*g\/(g\/g**(-17)))\/g**17))**(-6\/11) assuming g is positive.\nAnswer: g**(-2778\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -27\/215 (b) -2 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 - ((-1 - -3) + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 859965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.83594555 to two dps.\nAnswer: -6.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 809 - -552191570694.\nAnswer: 552191571503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93*j**2*p**2 - 285*j**2*p - j**2 + j*p**2 - 2086*j + 1474*p**2 wrt p.\nAnswer: 186*j**2 + 2*j + 2948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3\/7 - 8*j**2\/7 - 52*j\/7 - 40\/7 = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 2*h - 23. Let z be d(-11). Suppose -3*q = -9*q + z. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (11 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3 - 3. Suppose 44 = m - 2*q, z*m + q = 7*m - 247. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 divided by 9?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 6:45 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -108*v. Let n(d) = -6118*d + 12224*d - 6108*d. Determine n(q(w)).\nAnswer: 216*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2. Let d(h) = 5*h**2. Let w(m) = 2*d(m) + 11*v(m). Let g(q) = -10*q + 2. Calculate w(g(u)).\nAnswer: -100*u**2 + 40*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243495 + 788483 = i - 4*a, 3*a - 9 = 0. Suppose i = -13*p + 18*p. Round p to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 5*u**2 + 3*u + 1. Let a(g) = -g**3 + g**2 + 2*g + 2. Let o be a(-2). Let w be ((-12)\/o)\/(4\/20). What are the prime factors of y(w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1390 - -1390.003432. What is i rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -397298 (base 11) in base 2?\nAnswer: -10011000011111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6008389 and 3162310.\nAnswer: 60083890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3907, 7951, 11993, 16033, 20071, 24107?\n\"Answer: -f**2 + 4047*f - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2\/4 - 3*q - 1 = 0.\nAnswer: -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-33))\/((-1)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -1 - (-43 + 36) - (2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67324 and 11.\nAnswer: 740564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, k: 1, e: 3, f: 4, d: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6*l + 1. Determine m(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1475 (base 11) to base 7\nAnswer: -5350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 9.8. Sort 2\/19, s, 0 in ascending order.\nAnswer: s, 0, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13520 + -20?\nAnswer: 13500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 27*x**2 - 5*x + 13. Is k(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -932 bigger than -8378\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 191*k**2 - 7239*k + 210. Determine o(139).\nAnswer: -1319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41 + 36.8. Let v = x - -0.2. Let w = 3 - 2. What is the closest to w in 2, v, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m + m**2 - 39807 + 39807. Let w(h) = -5*h**2. What is w(s(b))?\nAnswer: -5*b**4 - 120*b**3 - 720*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/120 - ((-782)\/12 - 0). Let n = h - 21. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*q + 6 = 0, 3*q = -7*s + 11*s + 6. Let y = 12\/5 + -2. Solve 4\/5*b - y*b**2 + s = 0 for b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h. Suppose 4*b + 4 - 5 = -5*z, b - 3*z - 13 = 0. Let j be -1 + (-6 + b - -3). Let n(w) = w - 2*w + j*w. Calculate g(n(v)).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/18*-6)\/(328\/(-492)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31 + -30.7. Let m be (1\/(-5))\/((-4)\/(-10)). Which is the nearest to 1? (a) -2\/7 (b) m (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 319055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*f + 3*b, -5*f + 3*b + 18 + 4 = 0. What is the tens digit of 297\/4 + f\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5 + 13 = -w, -4*w - 4*l = 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = t - 3. Let d = 0 - 0.2. Let c = -0.7 - d. What is the closest to t in 0.4, -5, c?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 9. What is the second biggest value in -5, v, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 531*m**3 - 1202*m**3 + m**2 + 662*m**3 - 89*m in the form l*m**3 + x*m + i + u*m**2 and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*w - 23*w + 7 = -14, 14 = c - 2*w + 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*3924.\nAnswer: 15696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 315*n + 363. Let j be a(15). Suppose j*g = 5084*g + 1496. What is the greatest common factor of g and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + h = -2*h, 2*h = 5*a + 35. Suppose -55 = -2*v - 3. Let m = a + v. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1005 by 15.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a century in years?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e7238 - 2?\nAnswer: -1e723a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 8910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) 0.2 (c) 40 (d) -452\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**4\/12 + 3*p**3\/2 + 4*p**2 + 4*p. Suppose 4*s - 2*s - 11 = 3*i, -5*s - 53 = 4*i. Calculate d(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14913865 by -5.\nAnswer: 2982773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 840 and 13775020.\nAnswer: 82650120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2622481 is divided by 59?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -2*b**5 + 41*b**4\/8 - 3*b**2. What is the second derivative of v(d) wrt d?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1291 + 704 + 591 - 3*h**3.\nAnswer: -3*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-1*sqrt(108)*-2 - 6*sqrt(108)*1*5) + 3)**2 + -5.\nAnswer: -1008*sqrt(3) + 84676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of -6\/7*l**4 - 33\/7*l**2 + 3*l**3 + 3\/35*l**5 + 57 + 24\/7*l. Factor g(c).\nAnswer: 3*(c - 4)*(c - 2)*(c - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 9294976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 3*v - 486, -h - v - 631 + 754 = 0. What is the remainder when 478 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176.349 micrograms in nanograms?\nAnswer: 1176349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 19*s - 80. Let c be p(5). Suppose 0 = -3*n + 1 - 25. Let x = n - c. Solve y + 5*h - 4 = 17, 14 = -y + x*h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12448 divided by 570.\nAnswer: 6224\/285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 357747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1162 = 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5196715 to the nearest integer?\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 0*d**3 - d**3 - 1 + 2*d**2 + 3*d - d**3 - 3. Let i(x) = 27*x**2 - 10*x**2 - 8*x**2 + 11 - 8*x - 5*x**2 - 10*x**2 + 5*x**3. Give 4*i(g) + 11*p(g).\nAnswer: -2*g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*o, 8*o - 6*o + 376 = 2*r. What is the highest common divisor of 54 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 5:42 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.3, -188, 0.1?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -291406, -582872, -874348, -1165840, -1457354, -1748896?\nAnswer: -2040472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/(-25) + 6\/(-10). Suppose -5*y - 5 + 15 = 0. Suppose r*c - 13 = v - 1, -20 = y*v - 5*c. Solve 2*l + v*l + 6 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 17 = 2*p - 5, 5*p = 5*b - 15. Let s(a) be the second derivative of p + 2*a - 1\/6*a**3 + 9\/2*a**2. Let x(u) = 2. Give 2*s(q) - 9*x(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - ((-2 - -12) + 16 + -19).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -7)\/((-1)\/(-3)). Let k be (-4)\/b + (-94)\/(-18). Suppose -3*s + 57 = 2*m + 2*s, -k*m = -4*s - 60. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 1. Let d(w) = w**2 - 9*w - 9. Suppose 83*a - 585 = 80*a. Let b = a + -197. Determine b*d(u) - 18*k(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63.157 + 0.157. Let a = 42 - m. Let l = 104.99 - a. Which is smaller: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2 - 2*v - 4. Suppose -32 = -0*f - 4*f. Suppose 2*d + f = 3*d. Let g = d + 0. Let j(z) = 17*z**2 - 6*z - 11. Determine g*m(o) - 3*j(o).\nAnswer: -3*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + 3*s)*(-3*s**2 + 2*s**2 + 3*s**2)*(-7*s - 4 + 4) + 3 - 3 + s**4.\nAnswer: -41*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, 16, 31, 26, -5, -68, -169, -314?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 7*o = 24. Let g be 5 - o\/(4\/1). Let s = 0.3 - 0.6. What is the nearest to -1\/3 in s, 2, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -4 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1272 + 414 = -3*w. Let n = w + -184. What is the remainder when 65 is divided by (8\/(-12))\/((-4)\/n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-12)\/(-9))\/(-6 - 44\/(-6)). Suppose -z = w - 5*o + 3, -w - 5*o = -46. Solve 7*r - w = 2*r + 2*f, 0 = 5*r - 3*f - 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 664087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (3 - 32) - (-166 - -157)) + -11\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24900?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/15 - 33\/(-55).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r - 9 = -17*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5*u)\/(u\/u**(-1)))**(23\/2)\/(u**(1\/5)*u\/(u*u\/((u\/(u*u\/u**(3\/5)))\/u*u)*u)*(u\/u**(-1\/3))\/u**(-8\/7)) assuming u is positive.\nAnswer: u**(4801\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298690745?\nAnswer: 5, 59, 853, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2969404 to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (6 + (-4 - -2)) - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o**2 - 55*o - 110. Give b(25).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**4 - 4*u**4 - 2*u**4 + (-152 - 150 + 78)*(0*u + 0*u + u**4) to i*u + g*u**2 + p*u**4 + h + n*u**3 and give p.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 - (-243)\/12. Find the third derivative of -20*o**4 + n*o**4 + o**2 - 6*o**5 wrt o.\nAnswer: -360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - f + 9. Let o be g(-3). Let h = -2 - -8. What is the highest common divisor of o and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-7))\/(10*(-7)\/3528*-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 - 2*a - 6. Determine l(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -3.3, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 486 + g**2 + 485 - 371*g - 13491*g.\nAnswer: -g**3 + g**2 - 13862*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -20 - (1 + -8 - (-19 + 14)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106 = j - 317. Suppose 422*o + 1 = j*o. Solve -7*u + o = -6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004004543546 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -2*v. Put -4, v, 3 in decreasing order.\nAnswer: 3, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -7. What is the second biggest value in p, 1\/2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 597 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -0.3, -2\/3, 29, 0, 0.02?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/1*(-780)\/(-260)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -959 + 102. Let v = d + 909.1. Let y = 52 - v. Which is the nearest to -2\/13? (a) y (b) -3\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 10. Suppose -m + 2*m - b*t - 51 = 0, -3*m + 5*t = -141. Calculate the greatest common factor of 21 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75720.51847778 - 0.2.\nAnswer: 75720.31847778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 78 = 4*w, 3*o + 23 = 4*w - 54. What is the least common multiple of w and 9?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -15\/8, -1, 0, -1\/5, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*o**2 + 0)*(41 - 37 + 8*o + 152 - 3*o).\nAnswer: 10*o**3 + 312*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -129*f**2 - 26. Let o(h) = 43*h**2 + 9. Calculate -6*m(q) - 17*o(q).\nAnswer: 43*q**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = 1. Suppose g*x = 4*x - 8. Let n = 19 - x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -24. Let n(z) = -z + 1 + 4*z**2 - 4*z**t + 10*z**2 + 0*z. Calculate the lowest common multiple of n(1) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -8*b**3\/3 + 11*b + 17. What is the first derivative of m(x) wrt x?\nAnswer: -16*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121773912 by -7891.\nAnswer: -15432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -r - 12, 18 = 3*k + r + 3*r. Suppose -o + k*o + h - 79851 = 0, -4*h = 5*o - 79854. Round o to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 64.9 - 6.9. Let a = 0.1352 + 57.8848. Let j = a - c. What is the second biggest value in -0.4, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/(q\/(q**(-9)\/q)))*q)\/q)**(-10))**(3\/8) assuming q is positive.\nAnswer: q**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 3*q + 10. Let c be v(-3). Solve 3*n + c = 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 58*d = 86*d + 72, 0 = -5*t + 5*d - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 10. Let x be -3*((-33)\/9 - f). What is the tens digit of x + (-9)\/(18\/(-28))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 + 3)*(-3*u**3 - 11*u**4 + 9*u**4 + 5*u**3) as h*u**4 + w*u**2 + l*u**3 + a*u + b and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(6\/9 + 0). Let h(j) = -j - j**3 - p*j**2 + 4 - 3*j + 0*j - j. Let x = -12 - -7. Give h(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 3)*(-n - 2 + 2) + 9 + 12*n + 10 - 20 - 5 + 14*n + 5 to the form v*n + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((3 - (-5 + 14)) + (40 - -5))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*b**3 + 69044*b**2 + 4794367*b wrt b?\nAnswer: -162*b + 138088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 4*n - 1. Let r be (3 + 35\/(-10))\/(n\/(-6)). Solve 5*m - 3*v = 13, -5*m + m + r*v = -11 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 1, -65 in descending order.\nAnswer: 5, 1, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7700 + -7696. Solve 36 = s - f*o, -42 = -s + 3*o - 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 3)*(-5*p + 4*p - p) - 5*p + 5*p + 2*p - 4*p - 3*p + 5*p + (290 - 537 + 284)*(17 - 17 - 6*p) in the form s + g*p and give g.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 349*s + 198. Calculate w(-172).\nAnswer: -662","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21110?\nAnswer: 2, 5, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 2:13 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 448864793, 448864791, 448864789, 448864787?\nAnswer: 448864785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -95.2 + -8.8. Let q = 103 + s. Which is the nearest to 0? (a) q (b) -0.04 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13566 - 94572\/7. Is r != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*(2 + 10\/(-4)). Let l be 1\/(3 + 4\/8). Factor d*q - 2\/7 + l*q**2.\nAnswer: 2*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554995423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 178 + -183. Which is the nearest to -54? (a) 3 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2709)\/(-30) + (-3)\/(-15). Let x = t - 89. Suppose 2*i**2 + 13\/4*i + x + 1\/4*i**3 = 0. Calculate i.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9996095*d**2 - 6606284?\nAnswer: 19992190*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**5\/20 - d**4\/2 + 2*d**3\/3 - 3*d**2 - d. Let y be v(6). Let w be y\/8 - (-2 + 4). Which is smaller: 2\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2. Let y(l) = l - 2. Let h = 13 - 17. Let j(i) = i - 3. Let k(v) = h*j(v) + 6*y(v). What is m(k(x))?\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 170242097 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**3\/3 - 2*n**2 - 8*n + 1. Let k be u(6). Suppose k*l - 30 = -l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**3 + k**2. Suppose 4*o = 5*x + 29, -4*o + 4 + 5 = -x. Let v be h(o). Let t be 3\/((-12)\/8 - v). Solve 3*z = 5*z - t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41993163 to 4 decimal places.\nAnswer: 0.4199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - y + 1. Let w(l) = 4*l**2 + 4*l - 15. Let a(j) = -3*i(j) - w(j). Let c be a(4). Let t be ((-6)\/14)\/(1*1\/c). Is 0 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9214176 to the nearest ten thousand.\nAnswer: -9210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -21, 72.\nAnswer: -51, -21, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*r = -56*r - 36. Let y(t) = -3*t**3 - 3*t**2 - 2*t - 30. What is the tens digit of y(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161682 + 62368. Let u = h - 145407. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p = -40*p. Sort -1, -3, p, -5 in increasing order.\nAnswer: -5, -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*s - 4*m - 15, 5*s - 5*m = 40 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-3))\/(2\/18). Let v(r) = r - 3 + f + 0. Let z(g) = -9*g**2 + 7*g. Let h(k) = -4*k**2 + 3*k. Let b(i) = -7*h(i) + 3*z(i). What is b(v(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/7)\/(1458\/294 + -5). Calculate the greatest common divisor of r and 3948.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 158008376 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27405?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13736013491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/3*(-2)\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**3 - 84*x + 77*x - x**3 - 4 + 4 - 3*x**3 + (5*x**3 - 4*x**3 + x**3)*(-1 - 3 + 6) in the form v*x + g*x**2 + f + u*x**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11075197?\nAnswer: 7, 1582171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2510098*g**3*p**3 - 26*g**2*p**2 - 2119*p**3 wrt g.\nAnswer: 15060588*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1085 and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/5)\/g*g*g\/g**(1\/14))**(-23) assuming g is positive.\nAnswer: g**(-851\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -15*g + 130. Let c be -4 + g + 0 - 2. Determine q, given that 6*q**3 + 8*q**2 + 15*q - 11*q - q**3 + q**c = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*i - 6*i, 5*i = 5*l - 50. Let v be (4\/6)\/(l\/27). Suppose -15*s**3 - 10*s**2 + 19*s**3 + 2*s**v + 4*s = 0. Calculate s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-35284)\/24 - (-14)\/84. Let u = -1468 - y. Solve 0 + 2\/3*d**2 + u*d**4 - 2*d**3 + 0*d - 2\/3*d**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 10*h - 14. Suppose 4*f + 56 - 12 = 0. Let l be y(f). Let i be (-175)\/(-55) - 4\/(-66)*l. Solve n = -i*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 4. Suppose u = -11 - 0. Let a = 11 + u. Calculate b(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913156 is divided by 86?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = 517*n - 500*n. What is the remainder when 470 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**3*(z\/z**(2\/9))\/z)\/(z**(3\/5))**(-50) assuming z is positive.\nAnswer: z**(295\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 4*i + 4. Let k be r(5). Let n(o) = 14*o**2. Let c be n(k). Let u be 0 + (-32)\/c + 2. Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 151*s - 12154. Let z be f(81). Calculate the highest common factor of z and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 170, 341, 510, 677, 842, 1005?\n\"Answer: -x**2 + 174*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 558 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times -6?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((10\/(-1))\/(-20)*-643)\/((-2)\/4) is divided by 65?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -849 - -1634. Find the second derivative of 42*y**2 + 781*y + h*y - 1669*y wrt y.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 44\/132 - (-2)\/(-6). Suppose 9*l - 129 + 12 = h. Calculate the highest common divisor of 65 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16*(-8)\/((-448)\/41146)?\nAnswer: 2, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*x + 189*x - 21*x - 73*x.\nAnswer: 59*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 44 = 26*b. Suppose 0 = 2*y + 102 - 256. Calculate the remainder when y is divided by b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4817259 is divided by 682?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 20152 = -186934. Suppose -b = -11*i + 13189. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10 + (-4430)\/(-26200)*-71 + 4 + -2 and -73\/44?\nAnswer: 28820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p + 5. Let o(d) = d - 11. Let w be o(17). Suppose 0 = 2*g - 6 + w. Calculate the remainder when 24 is divided by v(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -858 - 13712 = -1457*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 - 3*m**3 + 2*m**3 + (4*m**2 - 4*m**2 - m**3)*(5 - 6 + 5) in the form b*m + c*m**3 + k*m**2 + h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051179 rounded to 3 decimal places?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v**3 - 2*v**2 + 4*v - 7. Let m(s) = -s**3 + s**2 - s + 1. Let j be 1 + -5 - (6 - 12 - -3). What is j*g(k) - 4*m(k)?\nAnswer: k**3 - 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -b + 3, -k + 9 = 3*b - 0*k. Suppose b*l - 2*d - 64 = 0, -d - 12 = -3*l + 50. Calculate the least common multiple of 6 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.25139774 - -4174.84013226. Let x = z - 4182. Let a = 0.093 - x. What is a rounded to four decimal places?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33197 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 314 - 312.11. Let t = 4.76 + v. What is t rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 4*a - 16 = -9*z, 5*z + 4*a = 31 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1323312 (base 4) to base 10\nAnswer: -7926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67662 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**2 + 4*r - 51. Let v(k) = 2*k**2 - 3*k + 52. Calculate -4*v(l) - 3*y(l).\nAnswer: -2*l**2 - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*l - 9. Suppose 0*x + 3*x + k - l = 0, 3*k = 5*x + 7. Let v be (-4)\/3*24\/(-16). What is the biggest value in x, -0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2. Suppose -4 = 2*k - 2*d, -3*k + 0*k = -d - 2. Let s(q) be the first derivative of 0*q - 8 - 2\/3*q**3 + 0*q**k. Calculate t(s(b)).\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*q**3 + 7*q - 7*q + (0 + 0 + 6)*(44*q**3 - 26*q**3 - 83*q**3).\nAnswer: -395*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46233 (base 9) to base 7.\nAnswer: -155553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-7))\/(i\/i**8))**44\/(i**3*i\/((i\/((i*i**(7\/6))\/i))\/i))**(-16) assuming i is positive.\nAnswer: i**(2228\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 + -0.28. Put g, 1\/9, 4 in increasing order.\nAnswer: g, 1\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 553, 547, 539, 529, 517, 503?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4917 is divided by 164.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 6*p + 13. Let t be l(-6). Suppose 15*v - 16 = t*v. Suppose c = -2*h - 3*c + 38, 5*c = -5. Calculate the remainder when h is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21151414*y**5 - 3*y**2 + 87*y - 528975.\nAnswer: 423028280*y**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*t**2 + 119*t**2 + 136*t**2.\nAnswer: 41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 5*y**2 + 2*y - 4. Suppose 4*z + h = 18, -3 = -5*z - 2*h + 18. Calculate the remainder when 22 is divided by c(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12323, -24633, -36933, -49223, -61503, -73773, -86033?\n\"Answer: 5*t**2 - 12325*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 801751?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 6. Let h be y(2). Solve -h*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6709*q + 6046*q - 43758 for q.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + 22. List the prime factors of u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 9:37 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avn when three letters picked without replacement from {r: 1, n: 1, g: 7, a: 2, v: 1, p: 5}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76823*s**2 + 46098*s wrt s.\nAnswer: 153646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1939*n - 5719*n + n**2 - 8*n**2 + 1925*n + 1855*n.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - 28\/(-7) - 1. Solve -5*u = -c*l + 10, -u + 5*l = -2*u + 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-11) - 20\/(-30))*(-4 + -5)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j*u**4 - 25*j*u**2 + 5*j*u + 6218*u**5 - 3*u**4 + 25*u - 7 wrt u?\nAnswer: -48*j*u + 373080*u**2 - 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 314*h**3 + 127*h**2 + 10*h + 9. Let d(m) = 158*m**3 + 64*m**2 + 6*m + 5. Let q(s) = -5*d(s) + 3*i(s). What is the third derivative of q(z) wrt z?\nAnswer: 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 71 (b) 2 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24848 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**3 + 1495*l**2 + 28145*l + 122045.\nAnswer: -5*(l - 317)*(l + 7)*(l + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31960 and 272.\nAnswer: 63920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhhh when four letters picked without replacement from {h: 7, u: 2}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 + 7*q - 2. Let i = 2 - 5. Let t(h) = -h**2 - 8*h + 3. Let m(j) = i*t(j) - 2*b(j). What is the remainder when m(6) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.21, 11.5, -8, -12, -0.3 in ascending order.\nAnswer: -12, -8, -0.3, 0.21, 3\/4, 11.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r + 65. Calculate q(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*o**2 - 77*o**3 + 41*o**2)*(-2 - 3 + 4).\nAnswer: 77*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 802 - 816. Find the common denominator of 14\/8*((-1360)\/(-35) + y) and -15\/26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*p - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 111*r**2 - 209673*r - 11334.\nAnswer: 3*(r - 1889)*(37*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 divided by -69?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83757 is divided by 3350.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(25*i - 6*i + 51*i + 3*i).\nAnswer: -73*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpgjpggpgccpgcccp. What is prob of sequence pppj?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101110110100011001011101110?\nAnswer: 101110110100011001011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22243916 and 9303.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**4 + 4*p - 2*p**3 - 1 - 2*p**4 - 4*p as b*p**4 + t*p**3 + s + g*p + d*p**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -33*n + 615 + 59. Calculate the lowest common multiple of n and 5704.\nAnswer: 74152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5143066.08 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6450 is divided by 1609.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -87, -4, -8, 2 in increasing order.\nAnswer: -87, -8, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.181105 nanometers in millimeters?\nAnswer: 0.000005181105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 75\/2 of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 3, -0.0217, 0.2, -7, 67 in decreasing order.\nAnswer: 67, 3, 0.2, 0.1, -0.0217, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - 46*x + 56. Determine w(21).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**4 + 4*w**2. Let k(h) = h + 12 + 9 - 28 + 7. Give -2*c(b) - 42*k(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -22861 and 73216.\nAnswer: 50355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sv when two letters picked without replacement from lcvjvms.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/17 - 654*u\/17 + 10260\/17.\nAnswer: -2*(u - 15)*(u + 342)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.16 - -0.16. Let a = y - -7.3. Let c = a + 0.7. Which is bigger: c or 1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31509330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -520, -2184, -4990, -8938, -14028, -20260, -27634?\n\"Answer: -571*y**2 + 49*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t**2 + 2*t + 1. Let m be g(-1). Put 1, m, 2 in descending order.\nAnswer: 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(15)\/sqrt(5) + sqrt(3) - (0 + sqrt(12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cddc when four letters picked without replacement from {d: 2, c: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 - 4 = -5*j, 2 = 2*j. Which is the biggest value? (a) w (b) -3 (c) 2\/7 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 7 - 1 = 0. Let x be (3\/4 - d)*4 + 9. What is the nearest to 1 in 0.3, x, -0.4, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/1*56\/((-2800)\/150)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77.9 - 83. Let b = v - -5.099845. Round b to 5 decimal places.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*k**4 - 845 + k**4 - k + 2*k**3 + 845 in the form t + q*k**4 + a*k + v*k**3 + r*k**2 and give q.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -4*s + 58. Suppose 3*v + 0*v = s. Let r(k) = k**2 - 13*k - 16. Does 14 divide r(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*n**2 + 13*n**2 - 304*n + 80*n + 14*n**2 + 2*n**3 as h*n**3 + m*n + i*n**2 + r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.098, 1\/4, 0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 13. Let g be x(-5). Suppose 0 = -3*t - g*a + 11, 2*t = t + 3*a - 11. What is the units digit of 11\/(t\/8*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/7)*v)**(23\/2)\/(((v**(-11)*v)\/v)\/v*v**(-2)\/v) assuming v is positive.\nAnswer: v**(220\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, -1\/2, 0.1, -0.2, 369, 0.22?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574408233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 584, 2, -4, 1, -5 in decreasing order.\nAnswer: 584, 2, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 456 and -20*(558\/(-45) + 1).\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5, -22, -83, -190, -355, -590?\n\"Answer: -2*b**3 - 5*b**2 + 2*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*s + 861 = 9*s - 30*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 7. Suppose 2*p = -4, -5*p + 32 = 5*d - 58. Suppose -21*w - d = -17*w. Determine o(w).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2. Let n(t) = 504*t**2. Calculate s(n(j)).\nAnswer: 254016*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/5 of a minute?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304)*1 + 2 - sqrt(304) - (sqrt(304) + 1)*-2)**2.\nAnswer: 64*sqrt(19) + 1232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -570*s - 100025 = 78*s + 98*s - 21695 for s.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17595.18 millennia?\nAnswer: 1759518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**3 - 11*l**2 + 35*l.\nAnswer: 6*l - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(342)*3)\/sqrt(9))\/sqrt(2))**2 + 3.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*n + 51 = 0. Let x be (60\/9)\/((-2)\/(-12)). Let h = x + n. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 12. Suppose -k*l = -n - 13, n = -3*l - 0*n + 1. Solve -3*c + l = -5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54782*q**5 - 251412*q**4 + 353296*q**3 - 149344*q**2 + 20448*q - 320 = 0.\nAnswer: 10\/559, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 63 + 63)*(4*d**2 + 60*d - 60*d) to the form y + z*d**3 + x*d + g*d**2 and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + ((-126)\/1530 - (-4)\/(-34)). What is the nearest to -1\/3 in 1, -2, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 15) in base 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -406 divided by -29?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -50 + 464. Let t(s) = -2*s**2 - 69 + m. Let u(q) be the first derivative of -q**2 - 1. Give u(t(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 23 = -5. Let a = k + -18. Suppose a = 4*s + 2*f - 16, 3*s = f - 2*f + 13. Let t(n) = n**3 - 5*n**2 - 4. Give t(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**6\/135 + y**5\/15 - y**4\/6 + 4*y**3\/27 + 86*y - 2. Suppose k(f) = 0. What is f?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.576 - -10.62. Let x = 0.83 + m. Let g = x + 0.126. What is the second smallest value in g, 3, -0.7, -0.4?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 b when two letters picked without replacement from {n: 2, b: 4, u: 4, i: 7, h: 1}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -p**3\/3 + p**2 + 3*p + 9. What is t(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445921 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10641, 12529, 14417, 16305, 18193, 20081?\n\"Answer: 1888*y + 8753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 1, 2, 498, -5.\nAnswer: -5, -2, 1, 2, 3, 498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17008707 (base 9) to base 6\nAnswer: 502215354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3978 < -2996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -1033 (c) 1\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 17.4 and -0.03206203834?\nAnswer: 17.43206203834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 17*o**2 - 26*o + 48. What is s(15)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 28*h + 1. Let a be o(3). Let w(q) = 13*q - 225. Let v be w(30). Let s = v - a. What is the highest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 191 - g - 7564.\nAnswer: -2*g - 7373","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.027 - -20.973. Let k = -6 - d. Let f = k - -27.052. Round f to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -18. Suppose 2*f - 18 = -f. Let v be (-50)\/f + 6\/w. Is -8 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1919*k**3 + 2015*k**3 - 1624*k**3.\nAnswer: 2310*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 3*z + 8. Let d be i(-7). Suppose -d = -t - 2*t. Let r = -403 + 405. Solve -r*x - 2*u - t = 0, 2*x + x = u - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**3 + 3*d**3 + 4*d**3 + (0*d - 4*d + 5*d)*(2*d - d - 2*d)*(d + 2*d - 5*d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547065 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.14 - -0.08. Put p, -0.3, 0.1 in ascending order.\nAnswer: -0.3, p, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-732)\/(-427)*42\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 3) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 75?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2430347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 3*u + 3*z, 2*u + u = -4*z + 65. Suppose 71*k = 62*k + 855. What is the highest common divisor of u and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.5 - 14.3. Let c = -19.799999851 - d. Round c to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 4*h + 2*h**2 - 12 + 2*h. Let s = 487 - 492. Calculate the remainder when w(s) is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8959167 and 32361.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15826 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 10643304 (base 7) in base 4?\nAnswer: 3210110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 49*v - 1. Let o be c(1). Let k be 2 + o\/(-15) + 2. What is the second biggest value in k, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -3. Let a = 6 - w. Calculate the remainder when a is divided by (-24)\/(-8) + (-1 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 5, 78731, -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/61? (a) 3\/2 (b) -4 (c) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k - 8. Let t be h(7). Let j = t + 4. Suppose -88 = -j*x + x. Calculate the remainder when x is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*j - 19523 = j, 0 = 3*v + 4*j - 11701. Let t = 3038 + v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -171\/7 or 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.2 - 19. Let d = 9 + j. Which is the third smallest value? (a) -1 (b) d (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 11) + 0 + (2 - 6) - 3\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 3*r = -537 + 510, -4*r - 8 = 0 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 468842.4 - 0.3.\nAnswer: 468842.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(17) + -1*sqrt(17))*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = w - 34, -4*p + 85 = -3*w - 3. Suppose 3*a + 5*y = 81 - 22, -p = -a - y. What is the least common multiple of -1 + 33\/(1 - 0) and a?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1832, -3666, -5500?\n\"Answer: -1834*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -643 + 1208. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - u - 45. Let y be (1\/u)\/((-10)\/(-20)). Which is the smallest value? (a) 0.5 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 1751*w + 16 = -1754*w, 0 = -3*b + w + 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and -4139172.\nAnswer: 455308.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (14562\/(-5663))\/((-6)\/8)?\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 AM and 10:36 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12565760?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrfmbrmmmrrrmfbrrfr. What is prob of picking 1 b and 1 m?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2000*627\/(-29260)*(-14)\/(-6).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 11283 = k, -26317 = -5*a - 2*k + 1868. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n - 4*m + 55 - 70, 5*n + 5*m = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/25 and 127\/590.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42173 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 564, 1206, 1944, 2778, 3708?\nAnswer: 4734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/144 and 119\/30?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 17*s - 24. Let m be v(-12). Suppose 0 = 3*o - 4*o + 4*p + m, -3*p = 3*o - 153. Calculate the greatest common factor of o and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35864235 and 495.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*c*g**4 - 1846*c*g + 324940*c - g**3 with respect to g.\nAnswer: -72*c*g**3 - 1846*c - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100012 (base 3) to base 9.\nAnswer: -1305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/124 + -231\/2108. What is the nearest to -2 in -0.1, r, -20?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1 (b) 3.396 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0 = -12. Which is the third smallest value? (a) -55 (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 1, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*d = -6*s + 972, 0 = s + 3*d - 241. Let m = 303 - s. What is the remainder when m is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3\/5, 2\/9, 3\/269, -0.4, 160 in ascending order.\nAnswer: -3\/5, -0.4, 3\/269, 2\/9, 7, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 17654?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8591\/(-220) - 11*7\/(-1540).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v**2 + 4*v + 7. Let g(u) = 6*u**2 - 11*u - 20. Let f(t) = -t + 7. Let m be f(-5). Let a be (-18)\/(-8)*8\/36*m. What is a*g(n) + 17*i(n)?\nAnswer: 2*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7594.\nAnswer: 2, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 3)*(-1 - 3 + 6)*(8*f - 2*f - 8*f + 5) as q*f + a and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 r when four letters picked without replacement from rddddrrdrddrdddd?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 16 + 16 = 0. Let q(w) = 26*w**3 + w**2 + 8*w. Let m be q(a). Round m to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 + 77. Suppose 105 = -8*f + o*f. Calculate the greatest common divisor of 285 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -425.6 + 427. Sort -0.2, -3, a.\nAnswer: -3, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15812331 is divided by 12866.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 7:34 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(32)\/(sqrt(24)\/sqrt(96)))**2*5.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from jnnjj.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.46 - -1.54. What is the second smallest value in 2\/9, 0.5, 3\/2, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11348*h**3 - 10*h + 2 + 11348*h**3 + 2*h - h**4 + 2*h**4 to s*h**3 + t*h + y*h**4 + x*h**2 + l and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 15. Suppose -q*m + 129 = -121. Let s = m + -15. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 + 14)\/1 + ((-4368)\/36)\/(-26)\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 3.4. Let h = d - 2. Let y = h + 4. Which is bigger: -1\/5 or y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3297 by -18586.\nAnswer: 3297\/18586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -142 - -145. Solve t*q + 13 = 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 - -896. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 - 3519*w + 10523. What is f(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/13 + 12*d**2\/13 + 192*d\/13 - 1280\/13 = 0. Calculate d.\nAnswer: -10, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 14*u**3 + 70*u**2 - 23*u - 19. Suppose -12*a + 0*a = 60. Let h(d) = d**3 + 2*d**2 - 1. Let r(w) = a*h(w) + k(w). Factor r(l).\nAnswer: (l + 7)*(3*l - 2)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -y + 10043 + 6446, -u - 3*y - 3285 = 0. Round u to the nearest one hundred.\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4535a (base 11) to base 7.\nAnswer: 362251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13153? (a) -9 (b) 2\/39 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/11 and -75\/218.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 577 + -552. Calculate the remainder when 648 is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 25*r**2 - 80*r + 83. Determine t(-28).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -16. Let o = -24 + 112. Calculate the greatest common factor of o and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (59 + -1 + 20 + -20 + -29 + 41)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yqyyqyyyyyyq. Give prob of picking 1 y and 2 q.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + 5*a + 3. Let j be y(-2). Suppose 0 = 5*z + 2*p + 7 + 18, -j*z - 30 = p. Let g(l) = -3*l - 7. Let u(s) = 2*s + 6. What is z*u(c) - 6*g(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 135210278042 + 1.17\nAnswer: 135210278043.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.354 times -0.3?\nAnswer: 0.1062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30557282, -30557283, -30557284?\n\"Answer: -n - 30557281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 9) in base 14?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2317 in -1\/4, -1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2700 is divided by 149.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + d + d)*(3*d - 8*d + 3 + 8*d).\nAnswer: -6*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.5 + -11. Let g = j - -1. What is the smallest value in 0.2, g, 1\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.2 (b) 1\/4 (c) -0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3592 + 3592 - 3*l)*(55 - 7 + 4).\nAnswer: -156*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 124900531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*h - 19 = 0, -6 = 4*m - 4*h + 2. Suppose -4*b = b - 5*d - 60, 2*b + m*d + 1 = 0. Solve -t = 2 - 3, b = -2*y + t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19043*3.\nAnswer: 57129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/8))**8*(j\/j**(3\/4))**38)**(19\/2))**(-2\/69) assuming j is positive.\nAnswer: j**(-133\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(124\/(-24) + 4) - (-180)\/315\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwlzqlo. Give prob of picking 2 q and 1 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.989 - 13. Let v = t + 0.111. Is 22 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397606788 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s**2 - 476*s + 244*s + 399*s**3 + 14 + 0*s**2 + 245*s wrt s?\nAnswer: 2394*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16c84 (base 15) to base 10.\nAnswer: 73699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -652699, -652686, -652673, -652660, -652647, -652634?\n\"Answer: 13*w - 652712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108908 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/4 of a minute?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/35 + -5 - -8.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 0*d)*(-5 + 5 - 2*d) + 9*d + 5*d**2 - 9*d.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1518 and 5244?\nAnswer: 57684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 5 + (-14 - 7 - -13).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1 + 9 - 5*a - 2*a. Let n be q(7). What is n rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Suppose 3*x = 2*x. Which is the second smallest value? (a) d (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 68862, 68857, 68852, 68847, 68842, 68837?\n\"Answer: -5*z + 68867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 7 = -4*j. Calculate the least common multiple of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -3*x**2\/2 - 6. Let h(p) = p. Determine 4*f(i) + 9*h(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 138283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2))\/sqrt(5))**2 + 3 - -1*(-3*sqrt(63)\/sqrt(3))\/sqrt(7).\nAnswer: -3*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*i = 14*i + 30. Suppose 16 = 4*x - 4. Calculate the highest common factor of x and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.11341915 to four decimal places.\nAnswer: -10.1134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4899 - -11961309?\nAnswer: 11961309.4899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25948\/7, 3, -4, 2\/13, 5, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 - 3. Let r be 2 - ((-120)\/(-6))\/5. Let s be f(r). Let c(g) = -g**3 + 4*g**2 + 3*g - 7. What is c(s)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 2, -12 in descending order.\nAnswer: 16, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19151616773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1294 - 0.5.\nAnswer: -1294.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3\/10 (b) -2\/15 (c) 0 (d) 1\/2 (e) 1\/8 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a + 16. Let q = 53 - 31. Suppose 0 - q = -2*o. Solve 1 + o = -a*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(2 + 7\/(-21)). Find w, given that -3\/5*w**4 + 1\/5 - v*w + 2\/5*w**2 + 2\/5*w**3 + 1\/5*w**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0092 to 4 dps.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = q - k, 15 + 8 = -3*q + 2*k. Let y = -41 - -27. Let n = y + 13. Which is the nearest to n? (a) q (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 352069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1957\/618 - ((-2)\/(-12))\/1. What is the third derivative of -i*h**4 + 112*h**2 - h**4 + 3*h**4 - 137*h**2 + 12*h**3 wrt h?\nAnswer: -24*h + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 19121662573297 and 1?\nAnswer: 19121662573296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -662150 divided by 850\nAnswer: -779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 + -8. Suppose -11*j - 36 = -234. Suppose -a - 5*c - j = 0, 0 = -4*a - 0*a + 2*c + 38. Calculate the lowest common multiple of a and f.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-7)*(-23)\/(31372\/217)\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1737, 897, -0.25 in ascending order.\nAnswer: -1737, -0.25, 3\/4, 897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/454176 and 59\/1447344.\nAnswer: 240259104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) -1954.7 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3. Let a be (-2)\/(-6)*(4 - 10). Let y = 36 - 33. Let p(w) = -w - 2. Determine a*q(g) + y*p(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -15*o + 11. Determine s(-2).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**2 - 1594*k + 105170. Give i(122).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, -10, -15, -20, -25?\n\"Answer: -5*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11991 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + -1 + 2)**2.\nAnswer: 14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(3\/5) - 4\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1173673*1.\nAnswer: -1173673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.6 * 7.\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 3) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27343 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**2 + 11490*c - 647075 = 0. Calculate c.\nAnswer: -2353, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1121, -2094, -3065, -4034, -5001, -5966, -6929?\nAnswer: -7890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*g + 70*g - 3242 = 5134 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 66*b - 6401. Determine a(97).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2065290, 4130599, 6195908, 8261217, 10326526?\n\"Answer: 2065309*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/3 - 1) + 9. Let s be (3\/((-30)\/f))\/(24\/30). What is the nearest to s in 1\/2, 0.2, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1161670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 - 0. Let o(k) = k**2 + 192*k + 3891. Let m be o(-23). Which is the smallest value? (a) m (b) -0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 2*k + 270 = 290, -3*k = 5*o + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3066*y + 257517. Determine x(84).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.052 (c) -0.06 (d) 0.04 (e) -0.4 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1851 + 274*i + 3699 + 10483*i - 1848 to the form n + r*i and give r.\nAnswer: 10757","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -552 (base 7) to base 13\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - z - 360 = -21*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - j + 5*j - 142, 0 = g - 2*j - 20. Suppose 54 = 5*v - r, -r + g = 3*v - 0*r. Let n = v - -10. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7402616 millennia?\nAnswer: 74.02616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 0*x**3 + 0 + 1\/40*x**6 - 3*x - 1\/112*x**8 + 0*x**4 + 1\/70*x**7 + 6*x**2 - 1\/20*x**5. Factor d(b).\nAnswer: -3*b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1756 and -6.3876?\nAnswer: -11216.6256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - g**2 - g. Suppose 0 = 2*p + 6, -s - 3*s + 2*p - 74 = 0. Let w be ((-52)\/s - 3)*-5. Determine n(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35 - -55. What is the lowest common multiple of o and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*v - j, 0 = 5*v - j - 9 - 4. Factor 4*t**2 - 3*t + 5*t - 2 - 2*t**v - 2*t**3.\nAnswer: -2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -3, -1, -433, -17, 3 in descending order.\nAnswer: 3, -1, -3, -17, -44, -433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.865 - 0.135. Sort 4, 0.1, -1\/4, k in descending order.\nAnswer: 4, 0.1, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*m + 27, -4*z - 45 = 5*m - 8*z. Let j = m - -17. Let t(d) = -6*d - 2. Calculate the remainder when t(-4) is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 177 - 102. Suppose -5*u + 75 = -0*s - 4*s, -5*u + j = -2*s. Suppose 0 = -5*x + u, 4*x + 3 = 5*w - 0*x. What is the remainder when 8 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.51, 1, 0.2, 0.03825?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p. Let f(k) be the first derivative of k**2 - 3 - 2*k**2 + 2*k**2. Determine f(x) - y(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*r - 0*v - 21, -v = -5*r - 27. Let h be 15\/(-25)*r\/1. Solve 2*o = -f, -2 = -5*o + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 + 28 - 4*f**2 - f**4 - 2*f + 8*f**2 - 7*f**2 to u*f + r*f**4 + b*f**3 + s*f**2 + d and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.362 - -0.15. Let v = 1.798 + -1.8. Let z = v - j. What is z rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-22))\/(-1)*((-204)\/(-1734))\/((-10)\/85)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4501?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7203 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 * 0.8\nAnswer: -0.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.8 (b) 2 (c) -4.7 (d) -5974\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3042, -6067, -9092, -12117?\n\"Answer: -3025*z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(2\/9)*f*f*f*f*f**(-2)*f)**12 assuming f is positive.\nAnswer: f**(188\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165126.\nAnswer: 2, 3, 13, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + -2*sqrt(18))*-1)**2 + 2*-1*sqrt(2) + sqrt(2) + sqrt(2) + 0 + sqrt(2) + -5.\nAnswer: sqrt(2) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -24287 = -170000\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 82, 97, 126, 175, 250, 357?\n\"Answer: x**3 + x**2 + 5*x + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.658755 rounded to two dps?\nAnswer: 13.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*l = -4726, -617 - 563 = -q - l. Calculate the remainder when q is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/4 - 3*t**3 - 4*t**2.\nAnswer: t**2*(t - 4)*(t + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 + 34*q**2 + 663 + 4*q**4 - q**4 + 8*q - q**3 + 656 - 1323 to the form z*q**4 + d*q**3 + s*q + g + m*q**2 and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-20))\/(-3))\/(3*2\/(-15)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/8156 and 71\/32?\nAnswer: 65248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 9:35 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v = -40. Let q be 360\/(-10) + 4*-1. Let x be (v\/q)\/((-99)\/(-15)). Is 1 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32936 and 368?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/15 and -49\/2770?\nAnswer: 8310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.16, 0.8, 1?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4721550 - -3?\nAnswer: -4721547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -155.7 and 124?\nAnswer: -19306.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 219118.8 nanometers to centimeters.\nAnswer: 0.02191188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - ((-70 - -100)*10\/12 - 16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 64 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**3\/4 + 30567*f**2\/4 - 1351257*f\/2 + 14680350 = 0. What is f?\nAnswer: 38, 51, 10100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1467 - -1494. Sort -4, f, 4 in increasing order.\nAnswer: -4, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5594*l**3*y - 23*l**2*y + 2*l*y**2 + 2*y**2 + 7782438 wrt l.\nAnswer: 16782*l**2*y - 46*l*y + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(2\/5)*f)\/f)**35)**(2\/11))**14 assuming f is positive.\nAnswer: f**(392\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2 - 24*y - 36 = 0. Calculate y.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(19) + -1))**2.\nAnswer: -16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -7\/8 (c) -1 (d) -1\/6 (e) -5 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 15*l**2 - 14*l + 3. Suppose -5*j + j + 175 = 3*m, 165 = 4*j + m. Suppose 5*d + 30 = -j. Does 2 divide c(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 821 = 3*r - 398, w = -5*r + 2017. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 399536*z**2 - 82*z**4 + 2*z**6 + 8*z**3 + 2*z**4 - 398089*z**2 wrt z?\nAnswer: 240*z**3 - 1920*z + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -9. Let b = p - -2. Put b, -0.3, -1 in descending order.\nAnswer: b, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 18 = 4*h, -5*h - 4 = -5*v + 6. Let i = h + 7. Let n(o) = -o - o + i*o. Let m(p) = p. Calculate m(n(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1166834 weeks in milliseconds?\nAnswer: 70570120.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r = -41*r - 41*r + 228. Solve 6 = 4*s + 3*f, -4*f = -5*s - 35 - r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074086?\nAnswer: 2, 13, 109, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(7) + -1) + sqrt(112)*2 - (sqrt(1008) + -2*sqrt(1008)*-1)**2) + -1*((sqrt(28) + -4 + 2 + sqrt(63))*-3)**2.\nAnswer: -10688 + 193*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-3 - (-8 - -3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 - 54*p + 17. Let i be k(18). Let f = 12 + i. What is the lowest common multiple of 8 and f?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 542705 (base 8) to base 9\nAnswer: 306220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -566*s**3 - 7*s**2 - 2 + 1102*s**3 + 2 - 539*s**3 - 15*s as l + d*s**2 + f*s + y*s**3 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -8*f - 7*f. Let g be 3 + (-2 - (0\/(-3) + f)). Solve -u - 4*u = -2*d - 5, -g*d - 5*u = -5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223.83 + 2.17. Let n = z - 227. Which is the nearest to -2\/5? (a) -4\/5 (b) n (c) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -15*r - 112. Determine c(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**3\/6 + s**2. Let l(k) = -2*k**3 + 11*k**2 + 456*k - 1401. Let w be l(3). Let j(u) = 4*u - 12. What is w*c(m) + j(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**4\/9 + 52*s**3\/9 + 8*s**2 - 720*s = 0. Calculate s.\nAnswer: -10, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plbppppbb. What is prob of sequence bppl?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0780679 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.51 - 0.51. What is the closest to 2 in 2\/7, w, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 less than 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 1. Let i(w) = -2*w - 3. Suppose 0*p = 2*f - 2*p - 2, -f = p - 1. Let n be f*(-1 - -2)\/((-1)\/1). What is n*i(a) + 3*b(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 3:25 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.27 or 118.8?\nAnswer: -12.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 8 = 7. Let d = -19 - -33\/2. Let f = d - -11\/4. What is the closest to -0.1 in l, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -f**5\/20 + 3*f**4\/4 - 7*f**3\/6 - f**2 + f + 3. Let j(o) be the first derivative of x(o). Is j(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.57 - -0.23. Let h = 0.04 + s. Which is the nearest to -2\/3? (a) -2\/9 (b) h (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33297700 and 85734?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*d + 12 = 0, 0 = -3*c + 2*d - 2 + 20. Let n(x) be the first derivative of -x**3 - 3*x - 575. Let y(q) = 6*q**2 + 7. Determine c*y(f) + 14*n(f).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(468) + sqrt(468)*-1 + 5)*-3)**2 + 1*2*(sqrt(208) - (sqrt(208) + -1))*6.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186972?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -505, -1178, -2017, -3022, -4193, -5530?\n\"Answer: -83*b**2 - 424*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in eleven halves of a micrometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-1\/2)\/(j**(-3\/10)\/j))\/(j\/(j\/j**(2\/9)))**(3\/2))**4)**1 assuming j is positive.\nAnswer: j**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 720562363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 - 46.99999971. What is x rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4066383 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjmu when four letters picked without replacement from {u: 2, z: 1, j: 1, m: 2, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 10 - 34. Calculate the highest common factor of 1 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**3 + 3*r - r**3 + 3*r**3 + (0*r**2 + 2*r**2 - 3*r**2)*(-r + r + r) + (3 + 7 + 3)*(-2*r**3 + r**3 + 2*r**3).\nAnswer: 14*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -250. Let k = 16 - r. Suppose -9*i - 2*a + 22 = -7*i, -3*i + 32 = 4*a. Calculate the greatest common factor of i and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-15))\/(1\/5). Let x be 3\/(-12) + (-2)\/(-8). Suppose x*k - k = 0. Which is smaller: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1403900 and 1684680?\nAnswer: 8423400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-4) - (-46)\/8. Suppose -y*l = -10*l, s + 4*l = 23. Suppose -4 = z - s. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 816.51 (b) 2 (c) -5 (d) -2 (e) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4\/9 - 2*m**3\/3 + 2*m\/9.\nAnswer: -2*m*(m + 1)**2*(2*m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-144)\/108*(-6)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 10*m - 792 = 0. Suppose 7*g - 6*g - p = m, 2*g - 392 = 3*p. List the prime factors of g.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldu. What is prob of picking 1 d and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/82650 and 34\/1045.\nAnswer: 909150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34748.47 litres to millilitres.\nAnswer: 34748470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.18 - 7.82. Let h = 3 + w. Which is the second biggest value? (a) h (b) 0.4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11754145 is divided by 3407.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*2\/6)\/((-9)\/(-63)). Let p(b) = 10*b - 70. Let r be p(o). Solve 3*i + v = 14, 0 = -4*i - 2*v + 20 - r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 5303, 18666, 44879, 88226, 152991, 243458?\nAnswer: 363911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1103391632*g*k - 2415*k + 150316 wrt g.\nAnswer: 1103391632*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.2. Let h be 2 + 12840\/44 - 1. Let n = 293 - h. Which is the closest to i? (a) -2 (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93.01 + 1.99. Let p = -35.5 + 130. Let j = p - w. Which is the third smallest value? (a) j (b) 0.2 (c) 3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8172?\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11 - 7 + f + 1. Is z(11) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 0, 4, -12 in decreasing order.\nAnswer: 10, 5, 4, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49974294.\nAnswer: 2, 3, 19, 31, 79, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**0*t)*t**(-5))**37 assuming t is positive.\nAnswer: t**(-185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of -f**6\/120 - 2*f**3\/3 - 8*f. Let w(p) be the second derivative of s(p). Let g(y) = -3*y**2. What is g(w(j))?\nAnswer: -27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 508032*m**2 - 21507534711*m - 43017101574.\nAnswer: -3*(m - 84673)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208 and 161408.\nAnswer: 161408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 2, w: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 76, -1, -4 in increasing order.\nAnswer: -5, -4, -1, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a + 2*a)*(90*a**3 - 35*a**3 - 48*a**4 + 47*a**4).\nAnswer: -a**5 + 55*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - -57. Let u = k + 63. Suppose u*p - 2*x - 365 = 0, 3*x - x = 0. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2930743561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*g + 11 = 0, -5*m = -4*g - g - 15. Let o be (-42)\/(-12) - (-2)\/4. Suppose -4*f = -3*f - o. Which is greater: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -1) + (-26 - -2). Let d = 36 + z. Let k = d - 5. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(3)*-1) + sqrt(19) - (-1 + sqrt(76)))**2.\nAnswer: -4*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5304, -5317, -5336, -5361, -5392?\n\"Answer: -3*j**2 - 4*j - 5297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**4 - 4*m**4 + 5*m**4)*(416 - 1191 + 5*m - 475 - 616).\nAnswer: -5*m**5 + 1866*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32*n**3 + 39*n - 17*n - 12*n - 9*n to k*n**3 + j + h*n + b*n**2 and give k.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(-2\/3))\/(u*u*u\/(u\/u**(-2\/43))*u*u))\/(u*u*u**19\/u*u*u*u*u**(1\/5)))**19 assuming u is positive.\nAnswer: u**(-328681\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**7\/504 - s**5\/30 + 7*s**4\/12 + 2*s. Let b(c) be the third derivative of u(c). Find the first derivative of b(v) wrt v.\nAnswer: 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17395827 and 146.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 2 = -5*k - 68 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*x - 5, -8*x - 8 = -4*x. Solve -m - 2 = b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 482082 = -5*b + 132208, 3*b = 4*l - 614338. What is l rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 5*o**2 - 4*o + 22. Let w be a(5). Solve 15 = -5*h, 3*p + h + 6 = w*h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h - 14*h**3 - 12*h + 0*h.\nAnswer: -14*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 562 = -5*n - 18. Let m be (-97)\/2 + 1\/(-2). Let h = m - n. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9362174, -9362170, -9362166, -9362162, -9362158?\n\"Answer: 4*w - 9362178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -17\/106?\nAnswer: -17\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*k**3 + 75 - 11*k**3 - 15*k**3)*(k + 2*k + 0*k).\nAnswer: 3*k**4 + 225*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1479 rounded to three dps?\nAnswer: -0.148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006087609514 to six dps.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3949792.873 + 467.\nAnswer: -3949325.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((6*sqrt(1700)*2 + 1)**2 - (-3 + -2*sqrt(1700))**2*-3).\nAnswer: 600*sqrt(17) + 265232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from bviv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-67)\/((-6030)\/(-472788)))\/(0 - 1\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*t*w**4 - t*w**3 - 102*t*w - 80*w**4 + 131*w**2 wrt w?\nAnswer: -144*t*w - 6*t - 1920*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 = 268*q - 263*q. Let x be 2*q + -1 + 3. What is the highest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010010100110000 (base 2) in base 14?\nAnswer: 39344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tlhhbbhlntlhgnngtgh. What is prob of sequence lln?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -489*m - 126. Does 12 divide o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 664*m**4 - 632?\nAnswer: 2656*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/7)\/(11\/(-77)). Let n(i) = -3*i. Calculate the remainder when -32*(-4)\/(16\/l) is divided by n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/10 and 48\/462065.\nAnswer: 924130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102) + sqrt(102) + sqrt(102)*-3 + sqrt(102) + sqrt(102))\/sqrt(6) - (sqrt(17) - -2*sqrt(51)\/sqrt(3)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 5. Let v(g) = -g + 6. Let m(a) = -6*s(a) + 5*v(a). Let r(c) = -4*c**2. Calculate m(r(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278898228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 137330339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 457 times -9\nAnswer: -4113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/(-260))\/(1\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 42*x - 153. Let g be t(41). Let d be 14\/35 + (g\/15 - 1). Let a(u) = 2*u**2 + 4*u - 4. Let k be a(3). Calculate the greatest common factor of k and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 2:50 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**5\/3 - 13*p**4 + 346*p**3\/3 + 860*p**2 + 1182*p - 351 = 0.\nAnswer: -13, -3, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2375)\/875 + 5\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105976 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1373 to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 4*v + 12. Find the first derivative of -1 - p - v - p - 1 wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1233)\/(-63) + 2 + (-8)\/14. Suppose -12*v = -9*v - l. Does 6 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y + 2. Let q(c) = c**2 - 8*c + 2. Let f be q(6). Suppose -2*a = -0*a - 28. What is the smallest common multiple of k(f) and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 - (-49 - -88 - 21)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 1\/2 (c) -6 (d) -3300 (e) 1 (f) 4 (g) 19\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hthtttthhhhtttht. Give prob of sequence tth.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = q - 133, a = 2*q - 139 - 112. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n - 1. Let j(m) = 10*m + 3. Give 5*c(o) + j(o).\nAnswer: 5*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/g**1)\/g)*g\/g**(-3\/7))\/(g**(-2\/5)\/g**(-5)))**25 assuming g is positive.\nAnswer: g**(-205\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*d + 18. Suppose -4*p - 6 = w - 17, 4*p - 3*w + d = 0. Let y(b) = 2*b**3 - 4*b**2 + 4*b - 2. What is y(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -3*k + 4*u - 224, 0 = 5*u + 15. Let j = 118 + k. Solve -4*l = -r - j, 0*l + 19 = 3*r + 5*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25\/125 + (-27)\/(-15). Solve 3 + 3 = p*w + 3*b, -3*w + 2 = b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 3:40 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -0.00519\nAnswer: 0.001038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.634 - -0.336. Let z = -0.03 - o. Sort z, 1, -5 in descending order.\nAnswer: 1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17132.8 - 16737. Round t to the nearest 10.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(68) - (sqrt(68) - (sqrt(68) + (sqrt(68) - (sqrt(68) - sqrt(68)*1))*-2))) + sqrt(68) + sqrt(68)*2*3))\/(4*-2*(sqrt(100) - sqrt(4))*2) + -4.\nAnswer: -4 - 3*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102833?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -g. Let r = 10 - g. Suppose -r*q + 7 + 9 = 0. Solve -1 - q = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/(-550))\/(8\/(-32)*-5).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let j(c) = 52*c - 65. Let h(a) be the second derivative of a**3\/6 - a**2\/2 + a. Let k(t) = -65*h(t) + j(t). What is w(k(o))?\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*z - 15 = -4*n, -2*n - 4*z = -12. Suppose 4 = -2*w - 2*u - n*u, w - 5*u - 16 = 0. What is the least common multiple of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 6*x**2 + 2*x - 2. Let m be b(6). Let j(a) = a - 19. What is j(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/3 + 146*o**2\/3 - 308*o = 0 for o.\nAnswer: 0, 7, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 7*g**2 + 9*g - 3. Give u(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 2*d + 8. Let j be r(2). Sort 3, j, 16 in descending order.\nAnswer: 16, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(11) - sqrt(77)\/(-2*sqrt(7))))**2 + sqrt(11) + sqrt(66)\/sqrt(486) + (4 + -1*sqrt(1331) + -1*sqrt(1331))**2.\nAnswer: -1574*sqrt(11)\/9 + 21635\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145520.\nAnswer: 2, 5, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 20\/4 + (1 - -3)\/(-4). Suppose -28 = -n - 5*b, -45 = -d*n + n - 2*b. Let w = 15 - n. Solve 0 = w*i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21\/42)\/(11\/(-88)) - -2*2. Are 158\/563 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.4 - -6. Let l = 73 + -79.7. Let g = l - f. What is g rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**3 + 3*k**2 - 3*k + 3. Suppose 17 = -5*g - 3*n, 0 = -3*g - 9*n + 4*n - 23. Let v be (g + 0)*(-10)\/5. Is y(v) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rjrrrjrrgrrrrrg. Give prob of sequence rjr.\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 48. Suppose 0*f + k = 2*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744 = -254*v + 3106 + 2210 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 18*j**5 - 788*j**4 - 403556*j**3 + 5649408*j**2 - 18903934*j - 4484284 = 0?\nAnswer: -137, -2\/9, 7, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 4*w**2 + w + 2. Let z = 12 + -15. Let t be -7 - (0 - (-2)\/(-1)). Let n = z - t. What is x(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175536 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-2))\/((-5)\/(-30)). Let m be p - (-4 - (-42)\/9)*-9. Solve -m*s = 1 + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02 - -0.42. Let n = v - 6.4. Let t = -7 - n. Which is the second smallest value? (a) 0.4 (b) 2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95588241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**2 + 475*j + 67. Calculate m(-79).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + 4.96. Let d = 3.5 + -3.3. Let s = 148 + -587\/4. What is the nearest to d in -1\/5, s, a?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -12*y - 1. Let s(a) = -a. Let u(z) = -g(z) + 6*s(z). Give u(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 34489?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1197 - 0.5322195308.\nAnswer: -0.6519195308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 120 = z - 4*j, j + 249 = 4*z. Calculate the remainder when 495 is divided by z.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 5:05 PM?\nAnswer: 10:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-2))\/(((-945)\/(-20))\/7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -79289 - 4?\nAnswer: -79293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 203*n**3 - 426*n**3 + 228*n**3 + 5*n.\nAnswer: 5*n**3 + 5*n + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 1 = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2389910 rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 754 and 286462.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -4*r**3 - 4*r**2 + 9*r + 5. Let p(f) = -7*f**3 - 8*f**2 + 17*f + 10. Let c(v) = 3*p(v) - 5*w(v). Give c(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 32 = 6*z. Suppose -z*f + 5 = -3*f. Sort 9, -4, f.\nAnswer: -4, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(85))\/((sqrt(5) + sqrt(20))*-5).\nAnswer: -8*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -72*g**2 + 1014*g - 82. Let l be q(14). Solve 4*i + 50*j - 54*j + 4 = 0, -i = 2*j - l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1901? (a) 0.2 (b) -1 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64778471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9834, -39331, -88492, -157317, -245806, -353959, -481776?\n\"Answer: -9832*m**2 - m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4\/4 - 171*j**3\/4 - 759*j**2\/4 + 1539*j\/4 + 1647 = 0. Calculate j.\nAnswer: -4, -3, 3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)*n*(n\/(n**(-2\/17)*n))\/n)\/(n*n\/((n**(2\/5)*n)\/n))**(-12) assuming n is positive.\nAnswer: n**(1387\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 114882 to the power of 1\/2, to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 250382?\nAnswer: -250380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2118950 or -2119025?\nAnswer: -2119025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 32*u - 4 - 2.\nAnswer: 32*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 371843 (base 9) in base 14?\nAnswer: 5bb50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 6:13 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.021 and 106.2.\nAnswer: -2.2302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (4 - 1 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(5184))\/(sqrt(3) - -2*sqrt(243)))\/((sqrt(150) - (sqrt(150) + -4*sqrt(150)*2))*-2).\nAnswer: -3*sqrt(2)\/380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.83 - -0.17. Let p = -43.0038 + m. Round p to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m*m**(-2\/3)\/m*m))\/(m*m*m*m*(m\/m**(7\/3))\/m))\/(m**(1\/2)\/m)**(-27) assuming m is positive.\nAnswer: m**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -9. Suppose -s = -g + 5, 4*s - 3*g = 5*s - i. Let d = -2860 + 2860.5. Sort s, 0.3, -1\/2, d.\nAnswer: s, -1\/2, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/3 + (-190)\/(-15). Suppose 7*t = 3*t + u. Suppose t*s - 3 - 9 = 0. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/28)*((p*p**(-1\/37))\/p)\/p)\/(p**(-13)*p*p\/((p*(p*p\/(p**(7\/6)\/p))\/p)\/p)) assuming p is positive.\nAnswer: p**(33697\/3108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2661, -10698, -24069, -42762, -66765, -96066?\n\"Answer: 2*b**3 - 2679*b**2 - 14*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33474 and 1428?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 973 - -70. List the prime factors of o.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - 7*p + 3. Let a be z(-7). Suppose a*l + 2*l + 10 = 0. Let f = 4 + -7. Which is bigger: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -x + 1. Suppose 19 - 49 = -x*d. What is the remainder when 3 + -4 + d\/(-3) - -50 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 671725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 78*k**4*s + 3*k**3 + k**2 - 9*k*s + 2 wrt k?\nAnswer: 1872*k*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-2))\/((-6)\/8). Suppose -32 - t = 2*n. Let q = n - -31. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/6 - 521*b**3\/6 + 1026*b**2 - 12248*b\/3 + 16288\/3 = 0. What is b?\nAnswer: 4, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*h = 65391 + 130965, 2*h - 147267 = 3*u. Let c = u + -420911. What is c rounded to the nearest ten thousand?\nAnswer: -470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8749811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*r**2 - 45*r**2 - 72*r**2)*(-4*r**2 - 2*r**2 + 5*r**2)*(-2*r - r + r).\nAnswer: -176*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20400 and 163875?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 - -144. Suppose 9*v - i = 11. Solve -4*f = 3*z - v*f - 14, -f = -2*z + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*k + (-4*k - 2*k + 5*k)*(3 - 2 - 4) + 1 - 1 - 3*k + 0*k + k - 2*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-1\/7)*h*h**(2\/5)*(h\/h**(1\/4))**(11\/2))**(23\/6) assuming h is positive.\nAnswer: h**(41101\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -38. Let z = r + -130. Let c = 108.00000315 + z. Round c to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 9*f - 20, -4529*y + 4533*y - 2*f = 3*f + 39 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + r = -o - 39, -5*o = -3*r - 99. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 15 = d. Let r = d + 20. Let q = 213 + -2345\/11. Sort r, -3, q.\nAnswer: -3, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 9386995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52.1 + -52.21. Is y at most as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1696 - l**3 - 4*l**3 - 43993*l + l**3 + 43995*l.\nAnswer: -4*l**3 + 2*l + 1696","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/425 and -119\/35950.\nAnswer: 611150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + ((-4)\/2)\/(-1). Suppose u = -b*u + 27. What is the highest common factor of u and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 414*t. Let o(f) = -2*f. What is o(h(v))?\nAnswer: -828*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g - 1, 3*o = -5*g + 139. Suppose -n + o = -21. Is 20 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 47. Let x be (-2)\/4*-8 + 6\/j. Suppose 4*p + x + 1 = 0, -s = 2*p - 99. What are the prime factors of s?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -347, -356, -355, -338, -299?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2, 7, -0.88, 2?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2545*o + 2545*o + 8*o**2.\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 9:49 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25941 + -25945. What is the biggest value in 76.2, n, -2\/3?\nAnswer: 76.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 6*b**2 + 5*b - 1. Let j be v(-4). What is the highest common divisor of 88 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence il when two letters picked without replacement from {g: 2, i: 3, j: 1, l: 3, c: 3, e: 1}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 1 - (41 + -18 + -65)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102010001 - -11?\nAnswer: 102010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*j - 8*g + 13 = 335*j - 58, 13 = 5*j - g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161794*s**6 + 868*s**4 - s**3 + s**2 + 11444*s + 2364 wrt s.\nAnswer: -19415280*s**3 + 20832*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66 - 32 - 35 - 7*s)*(17*s + 6*s - 3*s) to x + k*s**2 + h*s and give k.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 8*a = 333. Calculate the remainder when a is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32021 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6216 - -34504. What are the prime factors of n?\nAnswer: 2, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(4\/(-8)) - 0 - -34. Let t = 4 + i. Calculate the common denominator of t and -71\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 6*x - 2. Let h(y) be the second derivative of -y**4\/3 - 7*y**3\/6 + 3*y**2\/2 - 520*y. Give -6*b(i) - 5*h(i).\nAnswer: 2*i**2 - i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 5*q + 94. Let z = 58 - q. What is the remainder when z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6596747?\nAnswer: 1129, 5843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -12 (b) -1\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -604 by -16427.\nAnswer: 604\/16427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**2 + 4*q. Let m be s(-5). Suppose 0 = o + 4*o - m. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/1587 and -103\/690.\nAnswer: 15870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 24 = 11*k. Suppose -3*x = 5*b - 8*x - 65, 38 = k*b - 5*x. What is the remainder when 25 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16623*d - 518 + 518)*(0*d - 2*d + 0*d) in the form q + h*d**2 + m*d and give h.\nAnswer: 33246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*h**2 + 154*h - 154*h as s*h**2 + w + c*h and give s.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/7 (b) 244 (c) 1\/11 (d) 2 (e) 1 (f) -170 (g) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -228, -844, -1876, -3330, -5212, -7528?\n\"Answer: -h**3 - 202*h**2 - 3*h - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1202 + 1205. Solve k + 8 = -o*q - 4, -2*k + 3 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 23. Let d(u) = u**2 + 2*u + 2. Let o be d(-3). Suppose x + o*n = -12, 4*x + 3*n + n = 0. Which is the nearest to 0? (a) x (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 r when three letters picked without replacement from {c: 5, r: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379 = -l - h, 5*l - 4*h - 41 - 1899 = 0. Suppose -844 = -4*v + l. What are the prime factors of v?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - i - 1. Let s(z) = -17*z**4 + 21*z**2 - 4*z - 4. Let c(w) = -4*g(w) + s(w). What is the third derivative of c(d) wrt d?\nAnswer: -408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**6\/2 + 2*m**2 - 6. What is the second derivative of i(y) wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.106 and -294291540.\nAnswer: -294291539.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4851)\/(-18) + 4\/8.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*3)\/(sqrt(32) + 1*sqrt(32) - sqrt(32)) + (-6*sqrt(32) - sqrt(24)\/sqrt(3)) + ((sqrt(216) + sqrt(24))\/sqrt(12)*1)**2.\nAnswer: -43*sqrt(2)\/2 + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5255309*m**2*x + 36390510*m**2 wrt x.\nAnswer: 5255309*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*x*x**(-7)*x*x)\/x)\/x)\/x*x)\/(x\/x**7)*(x*x**1)**(-23))\/((x**2\/((x\/x**(-2\/9))\/x))\/(x**2*x*x\/(x*x**0))) assuming x is positive.\nAnswer: x**(-394\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22544.14957 - -0.14957. Let c = 22545.00045 + w. Let d = -1 + c. What is d rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d**2 + 59*d**2 - 5 - 30*d**2.\nAnswer: -2*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 253.75 - -505\nAnswer: 758.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2975832 divided by -743958\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {q: 2, d: 8, z: 1, s: 2, k: 1, c: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -2 - 2 - (-2*40 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + (3 - 2 - 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k - 3. Let z be w(7). Let s = -8 - -8. Suppose z*m - 5*m = s. Which is smaller: m or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 2 + 7 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2690*a**2 + 2688*a**2 - 5374*a**2.\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45315749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 1 - sqrt(17))*3)**2 + -2 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b + j + 18 - 33, 0 = 3*b + 2*j - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2248, -4426, -6604, -8782, -10960, -13138?\n\"Answer: -2178*b - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - d - 8. Let x(b) = 3*b**2 - b - 9. Determine -6*r(c) + 5*x(c).\nAnswer: -3*c**2 + c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 3. Let p be i(-5). Which is greater: p or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c + 309 = -12*c + 368 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 8. Let z be h(-11). Let a = z + 17. Suppose 5*y - a = -2*u, 4*u - 3*u = -2*y + 6. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -121*d + 1. Determine w(-1).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -505 and 54?\nAnswer: -27270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109915461 to the nearest integer?\nAnswer: 10484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 109495151 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13662 + 4993 = -642*b - 33981 + 5770 for b.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r - w + 26, 5*r + 2*w = 34. Let z be (r + 120\/(-18))*(-46 - -1). What is the highest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 39. Let w be z(-10). Suppose -54 = -4*s - 3*t, 5*s - 3*t = 52 + w. Suppose 3*b = 27 + s. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (549 + 554 - 1107 - 18*k)*(-1 - 5 + 4).\nAnswer: 36*k + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 10:03 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/2)\/((-3528)\/(-3024)). Let p(f) = -65*f - 207. Give p(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 3 + 3 + (4 - 1 - 1)*(2 - 2 + 2*z) - 4*z + 3*z + 2*z - 5*z + 2*z - 4*z)*(-74 - 112 - 193) to g + p*z and give p.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 249*f - 249*f + a + 2, 40 = -2*f - 0*f - 22*a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 + -5 + -6 + 9\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*l + 2*k**2 - 555*k*l + k + 3*l + 1620 wrt k.\nAnswer: 2*k*l + 4*k - 555*l + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1147 + 2425. Suppose 10*s - x = 4*s. List the prime factors of s.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -7. Let p = 1 + c. Let u = 0.03 - 0.13. What is the nearest to 1 in 3, p, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 110, 85, 38, -37, -146, -295, -490?\n\"Answer: -n**3 - 5*n**2 - 3*n + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 568, -4, -12, -11, 3, 5, 0 in decreasing order.\nAnswer: 568, 5, 3, 0, -4, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 779 = 4*j + 7*z - 2*z, 5*j + 5*z - 970 = 0. What is the second derivative of -4*n**3 + j*n**3 + 4*n - 8*n wrt n?\nAnswer: 1122*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l**2 - 10*l + 15. Let p be u(2). Suppose 2*h - 962 = -5*f, -3*h + p = 5*f - 911. Is 194 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3461 or -3436?\nAnswer: -3436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 22 - w**2 + 23.\nAnswer: -w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**2\/5 - 298354350*u + 37089715901634375 = 0.\nAnswer: 248628625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = 47*n + 835 + 854 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**5 - 186*q**4 - 364*q**3 = 0?\nAnswer: -91, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p**3 + 81*p**2 + 89*p + 10. Calculate s(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -559*t**3 + 282*t**2?\nAnswer: -3354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57 or -3.6?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3515 (base 9) to base 4.\nAnswer: 220232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 + 14*u + 80. Let n(y) = 5*y**3 + y**2 - 63*y - 320. Determine 2*n(z) + 9*s(z).\nAnswer: z**3 + 2*z**2 + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 0*q**2 - q**2 + q + 0*q**2 + 5. Let f = 35 - 35. Determine t(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7*c - 580 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 398 divide 698741536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 97626*k**2 - 1 - 502909*k**2.\nAnswer: -600535*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (15 - 37) - 24.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2529 is divided by 840.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or 2.894?\nAnswer: 2.894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011 + -11001110111101?\nAnswer: -11001110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*m - 8. Let f = 6 + -1. Put f, m, -4 in descending order.\nAnswer: f, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32.31, 1320, 0?\nAnswer: -32.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdkk when four letters picked without replacement from {e: 2, f: 2, d: 1, k: 4, g: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 13*c - 18*c + x, 0 = -x - 7. Sort c, 6, 69 in ascending order.\nAnswer: c, 6, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 9*z - 4. Let o be p(0). What is the smallest value in o, -1.2, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5117 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/15)\/(3\/(-15)). Find the second derivative of 301*y**4 + 390*y**4 - y**2 - 90*y - 631*y**r wrt y.\nAnswer: 720*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/312 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1086315.11 to the nearest one hundred.\nAnswer: 1086300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3320760 from 140.2.\nAnswer: -3320619.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/11, -3, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6a4 (base 15) to base 9.\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 12:33 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3397 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -64188 divided by -447?\nAnswer: 21396\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 273 - 290. Let y(q) = 6*q**2 + 66*q - 21. List the prime factors of y(t).\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -26, -51, -76, -101, -126?\n\"Answer: -25*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 2*g = i - 11, 0 = 5*i - 4*g + 11. Let u be (0 + (i - -6))*1. Suppose 4*k + 3 = -13. Sort u, 5, k in increasing order.\nAnswer: k, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34104 (base 6) in base 15?\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12789 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 71*x + 3963. Calculate the common denominator of 29\/3909 and t(37).\nAnswer: 3909","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/((-33)\/(-3))*11.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*z**4 - 101*z**2 - 82*z**3 + z**2 + 2 - 19*z + 9*z**4 + 82*z**3 wrt z.\nAnswer: 24*z**2 - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f + 48811 = 48139 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dde when three letters picked without replacement from {d: 5, e: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11244105 (base 6) to base 3.\nAnswer: 122200200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**3 - 3*p**2 + 2. Calculate the remainder when 113 is divided by k(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401328 divided by -2787?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccsscc. What is prob of sequence cssc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.07*-1075592\nAnswer: 1150883.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - p**2 - p**2)*(-7158*p + 7158*p - 1189*p**2) + p**4 - 3*p**4 - 4*p**4.\nAnswer: -2384*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**2 - 2854*g - 5700 = 0?\nAnswer: -1425, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2897 + -19?\nAnswer: 2878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggg when three letters picked without replacement from hhghhhhhggg?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.857489ms in minutes?\nAnswer: 0.00043095815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25 or 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1073525049 to the nearest integer?\nAnswer: 1024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21, 22, 75, 144, 235, 354, 507, 700?\n\"Answer: u**3 - u**2 + 39*u - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23702*k**2 - 1971.\nAnswer: -47404*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -39, -69, -101, -129, -147?\n\"Answer: f**3 - 10*f**2 + f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 2*q - 3*q + (-3 + 1 + 1)*(-2*q + 5*q + 2*q).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -815, -1635, -2461, -3299, -4155, -5035?\n\"Answer: -y**3 + 3*y**2 - 822*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**6\/10 - 73*t**5\/20 + 218*t**4\/3 + 73*t - 3. What is the third derivative of h(g) wrt g?\nAnswer: -72*g - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.52 - -11.02. Sort -3\/25, 3, i in increasing order.\nAnswer: -3\/25, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -624 = -57*o + 49*o. Let j(z) = 4*z**3 - 2*z**2 - 5*z + 4. Let p be j(4). Let s = p - o. Calculate the greatest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -225342 rounded to the nearest one thousand?\nAnswer: -225000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 13*z**2 - z + 18. Let f be w(13). Suppose 2*a - f*a = -12. What is the third biggest value in a, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u - u + 3*u)*(2 - 4 + 1) + 3 - 2*u - 3)*(2*u + 3*u - 3*u).\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*a + 18 = -174*a + 48 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -8.5. Let r = -0.5 + l. Let x = -0.12 + 5.12. Put x, r, 1\/4 in descending order.\nAnswer: x, 1\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeemeemeemeeee?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5486 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 5554 in descending order.\nAnswer: 5554, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6451.71427 rounded to the nearest one hundred?\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(1\/9*9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrxxssxxv. What is prob of picking 2 s and 1 r?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 726818 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 305863150 divided by -105835?\nAnswer: -2890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1911 - -1917. Let p = -0.28 + -0.02. Let r = -0.2 - p. What is the third biggest value in -5, a, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/10)\/(7 + (-17303)\/2475) - 4. What is the greatest common factor of 1872 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53572805 is divided by 478?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 5*a - 32, 5*j + 3 = 15*a - 18*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27227017 rounded to the nearest ten thousand?\nAnswer: -27230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + sqrt(931) - sqrt(931))*4 - -3*2*sqrt(931)*6)**2 + -3.\nAnswer: 1206573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 24 in increasing order.\nAnswer: 0, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*k**3 - 9*k - 8*k + 17*k + 283*k**3 - 147*k**3 - 76*k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 6. Let l be f(-6). Suppose -d + l*d = 12. Let v = -4 - d. Calculate the lowest common multiple of 4 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/((-24)\/102)*(14 + 0). Suppose 3*r = q + 383. Suppose m - 55 = 2*a, -r = -5*m + 5*a + 73. What are the prime factors of m?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84442 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -352, -539, -742, -967?\nAnswer: -1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 10*h + 3*z - 6 = 0, -5*h - 5*z + 10 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 557089567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -672*u**3 + 620*u**3 - 1602*u**2 + 1608*u**2.\nAnswer: -52*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87, 137, 195, 261, 335?\nAnswer: 417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 607 + -605. Put -4, s, 266 in decreasing order.\nAnswer: 266, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.09, 4, -3, -0.02426?\nAnswer: -0.02426","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 6*l + 8. Let m be q(7). Let k = m + 95. Suppose -4*g = -k + 3. Calculate the remainder when 42 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + m)*(2 - 1 - 3)*(2 + 0 + 1) as n + v*m and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**4\/20 + l**3\/5 - 2*l**2\/5 + 679. Suppose n(b) = 0. What is b?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from geggegiiwggieg. What is prob of sequence ig?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26305410044358 - 26305410044358 - 2*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3620, -1540, 4098, 15070, 33152, 60120, 97750, 147818?\nAnswer: 212100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(2\/31))**45 assuming z is positive.\nAnswer: z**(2880\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 27*r. Let y(q) = 7*q**2 - 6*q. Let u(l) be the second derivative of 5*l**4\/3 - 8*l**3\/3 - 3*l - 13. Let f(m) = -3*u(m) + 8*y(m). Calculate v(f(d)).\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -50625495.6 + -0.050354.\nAnswer: -50625495.650354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 401, 545, 689?\n\"Answer: 144*t + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/12 and 103\/124?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45223?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1651*p + 24865400 = -1637*p. Round p to the nearest 10000.\nAnswer: 1780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2421, 2, -4, -1, -6 in descending order.\nAnswer: 2, 0, -1, -4, -6, -2421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**2 + 6*w**2 + 2*w - 3*w**2. Let d(f) = -3*f**2 - 7*f. Suppose -4*t - 9 + 17 = 0. Let q = t + -9. Calculate q*o(p) - 2*d(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5*h + 120 = 0, -4*z - 3*h + 1429 = 1389 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 + 36. Let t be 10\/15*y\/(-2). Let c = 3 + t. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14441149 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 417216 + -218213. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -24.156. Let h = -0.056 + b. What is the second smallest value in h, -0.2, -14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(2*c + 0*c - 3*c + (1 - 2*c - 1)*(1 + 3 - 5) + 0*c - 3*c + c) + (5 + 1 - 2)*(-2*c - c + 2*c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(10\/9))**(-1\/5)*(y*y*(y*y*(y\/y**(-5))\/y*y)\/y*y)\/(y*y\/(y*y\/(y*y**(1\/3))*y*y)*y) assuming y is positive.\nAnswer: y**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -732 at least -1463\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -49*s. Let l be w(-5). Suppose -2*k - 2*k - 5*x = -187, -5*k - 4*x = -l. Let t = k - 2. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11724326321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 10:49 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/20808 and 53\/4896.\nAnswer: 83232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156*y**5 + 8*y**4 + 4*y**3 - 44*y**2 + 27*y + 1.\nAnswer: 9360*y**2 + 192*y + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6546057cm in micrometers?\nAnswer: 6546.057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**8*w)\/w**(-11)*(w*w\/w**(3\/7)*w)\/(w\/(((w**(-20)*w)\/w*w)\/w)) assuming w is positive.\nAnswer: w**(11\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/53 - 96\/265. Which is the closest to o? (a) -4 (b) 1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451060069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 + 2 + -4 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 238682122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/8 + 341729*l**2\/8 + 29199290155*l\/8 + 788131733427\/8.\nAnswer: (l + 27)*(l + 170851)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -11. Let k = -14 - s. Suppose -23 = -3*n - 4*t, 3*n + 4*t - 5 = k*n. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -9 + 18 + 17 + -7. What is the highest common factor of 38 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*0.063193056.\nAnswer: 0.126386112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -101, -4 in descending order.\nAnswer: 1, -4, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -957*y + 11. Let t(c) = -1911*c + 24. What is -4*t(g) + 9*v(g)?\nAnswer: -969*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(3 - 64\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*j + f = -24, 5*j - 127 = -2*f. Suppose 0 = 23*t - 29*t + 264. Let w = t - j. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.057, 0, -1065, 5 in ascending order.\nAnswer: -1065, 0, 0.057, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 7*m**4\/12 + 5*m**3\/3 - 16*m**2 - 2*m + 52. Let d be w(3). Solve 59*y + 8 = d*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26088565 by 2.\nAnswer: 26088565\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 5 - j - 7)*(58*j - 165*j - 241*j).\nAnswer: 348*j**2 + 4176*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -652631, -1305276, -1957921, -2610566, -3263211, -3915856?\n\"Answer: -652645*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12945*d**2 + 13263*d*p - 1032799711*p wrt d?\nAnswer: 25890*d + 13263*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 532074 a multiple of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -2*o + 276. Let f(z) = 60 - o*z - 54 + 13*z. Determine f(6).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -421 at least -71193\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 4. Let p(m) = 3085513*m**2. What is r(p(k))?\nAnswer: -6171026*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 50, 19, -38, -133, -278, -485?\n\"Answer: -2*f**3 - f**2 - 14*f + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/10*(-8)\/((-8832)\/230).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5 + 2*o**3 + 6*o**2 + 6*o - 3 - o**3. Let r be j(-5). Let f be r\/(-6)*0 - -1. Calculate the highest common divisor of f and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3436*o*x**2 - 2*o + 1065*x**2 - 7*x wrt o.\nAnswer: 3436*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - d**2 + d - 1. Let w(i) = i**3 + i + 1. Let a(j) = -7*j**3 + 6*j**2 - 11*j + 2. Let n(r) = a(r) + 4*w(r). What is 6*l(y) + n(y)?\nAnswer: 3*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105608842.\nAnswer: 2, 239, 220939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 11*m**2 + 12*m - 12. Let x be g(10). Suppose x*q = 3*q + 195. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1014663.2 to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + (sqrt(66)\/((sqrt(96)\/sqrt(2) + sqrt(48))\/sqrt(8)))**2 + (((-2*sqrt(198))\/sqrt(6))\/sqrt(3))**2.\nAnswer: 199\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 436 divided by 5.\nAnswer: 436\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u. Let h(y) = -9*y. Give h(n(b)).\nAnswer: -90*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 - -91. Suppose 2*x - 198 = -j*x. What is the greatest common factor of 11 and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 377 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 - -19b?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-36)\/(-4185))\/(2\/(-3))?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**5\/20 + 5*l**4\/12 + 2*l**3\/3 + 12*l - 4. Let b(d) be the first derivative of q(d). Factor b(n).\nAnswer: n*(n + 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11654654 and 7416598.\nAnswer: 81582578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*m - 50 + 25 + 25 - 162*m as x*m + g and give x.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 4*f + 2 - 7*f + 12*f + 7*f + (-3 + 1 + 0)*(6*f - 2*f - 3*f) - 11*f - 4 + 4.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/7))**(-1)\/(o**0*((o*o**(1\/12)*o)\/o)\/o))**(-34))**(1\/4) assuming o is positive.\nAnswer: o**(-289\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24607.38m in centimeters?\nAnswer: 2460738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*j = -150, j + 0*j = 3*d - 90. 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: Express ((-a + 2*a - 2*a)*(-2 - 2*a + 2) + 4*a**2 - 3*a**2 - 2*a**2)*(1502*a - 522*a + 1896*a) in the form x*a + d + z*a**3 + s*a**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/(-50)*15\/(-12)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z. Let d be 0 + (-195)\/(-10) + 2\/4. Let f(j) be the first derivative of -j**2 + 11 - d + 6. Calculate f(p) + s(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90\/11 or 18\/343?\nAnswer: 18\/343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 17a0?\nAnswer: -17a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ak when two letters picked without replacement from kannnanpynyy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 6:18 PM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(171) - (sqrt(171) + -2)) - 2*(sqrt(171) - (0 + sqrt(171) - sqrt(171)))) + 3*(sqrt(171) + 0 + 3))**2.\nAnswer: 6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -326 - 5*b**2 - b + 307 + 5*b**2 + b**2 to y + a*b + l*b**2 and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/6767291?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + f. Let o be 21\/(-14) - 11\/(-2). Suppose -4 = -o*t - 0. Let s(h) = -7*h**2 - 6*h + 2. What is t*s(c) + 5*w(c)?\nAnswer: -2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4bb37b + -14?\nAnswer: 4bb367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a - 56, -8*p + 0*a + a - 4 = -12. Solve -10\/3*j - 10 + p*j**3 + 15\/2*j**2 - 5\/6*j**4 = 0.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33726 + -33726.2. Let h = -5.3 - -4. Which is the nearest to v? (a) h (b) 0.2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*q + 79*q - 8*q**3 - 5.\nAnswer: -8*q**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01310436 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2. Let o(p) = 65*p. Let c(b) = 33*b. Let s(y) = 13*c(y) - 6*o(y). Determine s(j(n)).\nAnswer: 78*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.51 - -2.61. Let d = 0.1 - u. What is the second biggest value in 1, d, 0, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h + 2414. Let b(z) = z - 1197. Give 13*b(u) + 6*q(u).\nAnswer: u - 1077","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 29*(-418)\/(-44)*(-26)\/(-247)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let k = 158 - 156. Let s(x) = 93 + k*x - 41 - 45. Give s(d(g)).\nAnswer: -4*g + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-16)\/72 + 677453*6\/378?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from crgww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 695787335 by -5.\nAnswer: -139157467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a meter in millimeters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 8*g - 5. Let k(n) = -n - 1. Let c(j) = k(j) + y(j). Let f(m) = 16*m. Let w(v) = 14*v - 1. Let b(p) = 4*f(p) - 5*w(p). What is -5*b(r) - 4*c(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 273 by 91.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*r = -618*r + 1207*r + 330 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -9 + -2 + 9.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*z - 2619, -13*t + 12*t - 4*z = -880. Calculate the greatest common factor of t and 1116.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**47*(g**9*g)\/(g*g**(2\/15)\/g) assuming g is positive.\nAnswer: g**(86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h + 16*h + 12*h + 230*h**3.\nAnswer: 230*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -484, -564, -644?\n\"Answer: -80*q - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*g - 6 + 0 = 0, 1 = 2*x + 3*g. Let i(n) = -n**2 + n + 1. Let d(j) = -2*j - 2. Determine x*d(s) - 8*i(s).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1211022000 (base 4) to base 5.\nAnswer: 101224321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173 by 3.\nAnswer: -173\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1756?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34404907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = q, 33*p = -4*q + 37*p + 16 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, c: 5}. What is prob of picking 4 x?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152481?\nAnswer: 3, 7, 53, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of 41249.3 and -4353.\nAnswer: 36896.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38449097 a multiple of 646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 23933236 divided by -314911\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 5 + 4*i + 7 + 6*i. Let s(x) = -x - 1. Let n(w) = -j(w) - 12*s(w). Let y(k) = 3*k. Give n(y(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3265134 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-36) + 23\/6. Let w = r - -2. Calculate the greatest common divisor of 18 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1066*g**2 + 1063*g**2 + 5*g**3 - 2129*g**2.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.11 - -0.31. Let u = -1 - m. Is -0.12 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10 = 0, -17 = -3*l - 5*y + 20. Suppose -7 = -l*q + 65. Solve -4*x + q = 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3633 by 3.\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g - 24*g + 250 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u + 25. Let t = -6 + 13. Let y = t + u. Solve m - 2*c = -c, y*c = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437987 = 5844*x - 63621 - 144078 + 558652 for x.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1 + 0 - 1 + 2*p**2 + 2*p. Let s be g(2). Let l be s\/4 + 2\/4. Solve l*q - 3*k = -15, -3*k + 2*k = -5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25556 + -25555. Which is the third biggest value? (a) l (b) 0.06 (c) 2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + (-64)\/(-50))*(-730)\/(-155855). Is o at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z. Let m(w) be the third derivative of w**4\/24 + 6*w**2. Determine n(m(g)).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 47. Let b be 4\/(-26) - 148\/w. Let v be (-160)\/(-30) + 1\/b. Which is smaller: 3 or v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 2*n + 58, -3651*n + 243 = -3648*n - 4*b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(64)*-1 - sqrt(4)))**2 + (sqrt(98) + 4)**2 + -3.\nAnswer: 56*sqrt(2) + 2777\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278824 = 94*i + 10*i. List the prime factors of i.\nAnswer: 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15672 = -5*n - 5*p + 15442, 2*n - 4*p - 159 = n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let r(q) = -36*q - 2. What is -28*n(c) - 2*r(c)?\nAnswer: 16*c + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -22.06. Let y = -0.06 - g. Let z = 13 + -15. Which is the nearest to y? (a) 0 (b) 0.1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (7 - (-36)\/(-3))*951\/(-15) is divided by (-1 + 2)\/((-2)\/(-128)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017561 to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*i - 2*k, 1214*k + 3 = -11*i + 1216*k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -170 + 345. Calculate the greatest common divisor of g and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -204918227 and -1813.\nAnswer: -204920040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5545 divided by -2\nAnswer: -5545\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -127909839\nAnswer: -1\/42636613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 360008 = -5*o + 4*i, 4*i = 5*o - 1800008. Round o to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.6 + -0.0803.\nAnswer: 6.5197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.447 years to millennia.\nAnswer: 0.005447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/4 + 587*m**4\/4 + 8579*m**3\/4 - 587*m**2\/4 - 2145*m = 0. Calculate m.\nAnswer: -572, -15, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*s**2*x**3 + 197*s**2*x - 2*s*x - 541*x**3 - 2*x**2 + 8*x wrt s.\nAnswer: 14*x**3 + 394*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 10. Let n = -9.5 + m. What is the second smallest value in 0, n, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b45b + -3077?\nAnswer: 83a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 3:35 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-200)\/(-6))\/(25480\/(-195) - -131)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(176) + sqrt(11)) + (sqrt(11) - (sqrt(11) + (sqrt(11)*2*-2)**2)) + -4.\nAnswer: -180 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + b + 5*b)*(-4*b + 5*b + b) - b**2 - 2*b**2 + 2*b**2 - 1 - 98*b + 98*b - 23*b**2.\nAnswer: -22*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4410*d**6 + 1058*d**2?\nAnswer: -529200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -1216 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-30)\/105*7*-1. Suppose 0 = -l - l + 2*v + 100, 105 = q*l - 3*v. What is the greatest common divisor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*s*w**2 + 9214*s*w + 423*w**2 + 366*w wrt s?\nAnswer: 3*w**2 + 9214*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**2. Let o(j) be the second derivative of -23*j**4\/12 + j**2 - j - 21. Calculate z(o(w)).\nAnswer: -1587*w**4 + 276*w**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*(2 - 6\/(-4)). Suppose 3*t - w = 2. Solve -t*o + 6 - 3 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -341 or -76336\/223?\nAnswer: -76336\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 174?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 5*g = 4*k + 4, -132*g - 8 = -130*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1019086 is divided by 337?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 - h**4 - 6*h**4)*(2*h + 2*h - h) + (3 + 2 - 4)*((4 - 2 - 1)*(2*h**5 + 2*h**3 - 2*h**3) - h**5 - h**4 + h**4).\nAnswer: -32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*l + 3 = 0, -2*k + 3*l + 6 = 2*l. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((3*sqrt(2448)*-4)**2 + sqrt(2448)) + -4*sqrt(2448)*1 + -5.\nAnswer: -24*sqrt(17) + 705019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1645\/(-45) - (-8558)\/(-3501).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23722186 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 greatest common divisor of 55059186 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v + 212. Determine p(2).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 891140 = 2*k + 891115, -5*k + 49 = 8*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -12880, -12892, -12904, -12916, -12928?\n\"Answer: -12*l - 12868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0*a**2 - 6 + 15*a**2 to the form p*a + w + v*a**2 and give v.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/132*-2*15\/40?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 99, 220, 451, 828, 1387?\nAnswer: 2164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**20\/z**10)\/(z**(-17)\/(z\/(z*z**(2\/23)))) assuming z is positive.\nAnswer: z**(619\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = q + 3, o = -3*q - 2*o + 15. Solve 0 = 2*s + g - 9, q*g + 3 = -2*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/295 - -1748\/3245. What is the closest to v in 2\/15, -1, 0, -2\/17?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -2\/15, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 + 83*m**2 - 95*m**2 - 2*m**3 + 2*m - 40 as c*m**3 + a*m**2 + k*m + l and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = 4*r - 40, 4*r - 54 = -5*x. Calculate the highest common divisor of x and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/753, 3.21, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z + 5*z**2 - 1068*z**3 + 7*z - 5*z**2 + 336*z**3.\nAnswer: -732*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2589496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 962 and 10764.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11, -53, -125, -227, -359?\n\"Answer: -15*f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.88706 minutes in microseconds?\nAnswer: 5153223600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -861*f + 303*f - f**4 + 282*f - f**4 + 5*f**4 - 3*f**2 + 276*f**3 = 0.\nAnswer: -92, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22417\/97900 - 1\/8900. What is the common denominator of a and 6\/55?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.99 + 0.01. Let t = u + 2. Put 2\/7, t, 4 in increasing order.\nAnswer: 2\/7, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/15)\/(a\/a**(4\/5))*(a\/(a\/(a*a**(2\/9)*a)))**(-36) assuming a is positive.\nAnswer: a**(-1204\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -689 - -1353\/2. Let z = -26\/33 - 155\/22. Calculate the common denominator of m and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19184749 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/((t\/(t\/t**(-6))*t*t)\/t)*t)\/t))\/t)**(1\/24)*t**(1\/40)\/t**9 assuming t is positive.\nAnswer: t**(-369\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23534857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 102 + 39 = b, 2*v = -v - 2*b + 39 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034903844 rounded to five dps?\nAnswer: -0.0349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3214*h - 224. Is g(2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**3 + k**2 - k. Suppose 2*g + 1 = 3*g. Let o be v(g). Find the third derivative of 2*r**o + 5*r**3 + 8*r**5 - 6*r**2 - 5*r**3 wrt r.\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-7)\/((-35)\/(-4)))\/18)\/((-12)\/750*10)?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2868, -5734, -8600?\nAnswer: -11466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (473 + 127 - 44)*(-4 - 7*l**2 + 4)*(3*l + 1 + 1 - 4*l).\nAnswer: 3892*l**3 - 7784*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3077527?\nAnswer: 17, 181031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 5*n + n + 2*n**2 - n - 1 to x*n + a*n**2 + d and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(2\/5))*d)**47\/(d**(1\/4))**(-1\/21) assuming d is positive.\nAnswer: d**(27641\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -10. Suppose y - 10 = z. Is 12 a factor of 3 + (-5)\/z + 82\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -r + 638, -r + 5*f + 310 + 283 = 0. Suppose -2*z - 5*z = -35. Suppose r = i + z*i. Is 31 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/((-7)\/((-14)\/(-4)))*-26. Let l = 89 - h. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -13*o**4\/12 - 9*o**2 + 14*o - 8. Let a(y) be the first derivative of l(y). Differentiate a(b) with respect to b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -16*b - 46. Let t be x(-3). Suppose 0 = l - 99 + 19. Suppose 3*a - l = -14. Solve 0 = -2*g - 4*k + a, k = t*k - 3 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 309, 370, 433, 498, 565, 634?\n\"Answer: h**2 + 58*h + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**2 + 66*a + 725. What is c(-9)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2819.13 * 43.6.\nAnswer: -122914.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -165, -1, 5, 4933, -14?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 5*s**2 - 3*s + 3. Let j be h(-4). Is 173*9 - (j - 33) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-90))\/((-20)\/(-12))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8710129, 17420219, 26130307, 34840393, 43550477, 52260559?\n\"Answer: -o**2 + 8710093*o + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 7*g**2 + 26*g + 86. Let c be s(-10). Calculate the greatest common factor of 819 and c.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19199824783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Suppose 2*z + 2*u = 18, 0 = 2*z - 0*z + u - 18. Suppose v = 3*q - z. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -172 greater than -255022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -164518635 divided by -15845?\nAnswer: 10383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*28260.2.\nAnswer: 395642.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 10:21 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 7367460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -141455235 (base 7) to base 6\nAnswer: -530231410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, p: 2, a: 10}. What is prob of sequence za?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 43.7\nAnswer: -218.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 3. Let j be a(-6). Suppose 2*b + 5 = 3, -j = -3*p + 3*b. Let c be ((-120)\/75)\/(14\/(-35)). Is p less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54526*d**3*n**3 + 301*d**3*n + d*n**2 + 55770021*n**3 wrt d.\nAnswer: -327156*d*n**3 + 1806*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - 4*a + 4*a)*(0*a**2 - 5*a**2 + 2*a**2) - 5*a**3 + a**4 + 5*a**3 + (0*a + a - 3*a)*(-2*a**3 + 5*a**3 - 2*a**3).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 372*z**3 + 4*z**2 + 9*z + 7. Let u(d) = 183*d**3 + 2*d**2 + 4*d + 3. Calculate -4*k(x) + 9*u(x).\nAnswer: 159*x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**4 + 51503*c**3 - 21*c**2 - 1131?\nAnswer: 48*c + 309018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4005 divided by 5?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.425573 rounded to 1 decimal place?\nAnswer: 15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402478599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*s**4 - 60195*s**3 - 37271715*s**2 wrt s.\nAnswer: 360*s - 361170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2658 less than -2666?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(9\/(-3) - -2). Suppose x = 2*b - 0*b + 18. Let a = -4 - b. Solve -7 + 27 = a*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1.557, -5\/6, -6\/29, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 2\/1489, 4?\nAnswer: 2\/1489","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 1. Suppose 5*u - 12 = 3. Suppose c + 2 = u*c. Let q(m) = -4*m - 20. Let b(g) = 4*g + 15. Let f(x) = -3*b(x) - 2*q(x). Give c*f(k) + 2*r(k).\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-98)\/84)\/(2\/(-12)). Suppose -w + 12 - o = 0. Let t(l) = -l**2 + 5*l - 4. Give t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + q**3 - q**2 + 89 + 0*q**3 - 92 + q. Give u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56249 - -1519459\/27. Is u less than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11971.05 + 11976. Which is smaller: -1\/3 or d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 2*x**2 - 4*x + 8. Determine n(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 308 + 0*y - y - 306. Let a be 40\/2*(-12)\/16. Let k be r(a). Calculate the highest common factor of 153 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120162\/31 + -3876. Let d = 383674\/799645 + -2\/3685. Let n = r - d. What is the third biggest value in 3, -7\/4, n?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 4 - (16 + -23) - (-7 + 10).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7083 times 0.5?\nAnswer: 3541.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -686443.7 + 244.\nAnswer: -686199.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -12*k. Let v(t) = -2*t - 2. Let b(f) = -2*f - 3. Let r(q) = -2*b(q) + 3*v(q). Determine 39*r(j) - 6*s(j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q**2 - 57*q - 1. Let v(w) = -3*w**2 - 12. Determine x(v(z)).\nAnswer: 117*z**4 + 1107*z**2 + 2555","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188*l**3*n - l**3 - 862*l*n wrt l.\nAnswer: 1128*l*n - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*f - 110, 4*f = 7*h - 3*h - 116. Let i = 8 + -5. Suppose -h = -i*m + 33. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843352 a multiple of 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klkllll. Give prob of sequence lkll.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*j = 84 - 180 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 7*h + h**2 + 0*h**3 + 1\/3*h**4 + 0. What is the first derivative of u(s) wrt s?\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 903 divide 1478592969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -173 + 89b3?\nAnswer: 8840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*h + 81*h - 3*c = -15, 4*c + 4 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, j: 6, f: 7}. Give prob of sequence jlj.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2338*x + 549437. Calculate b(235).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (13 - 382)*(-56)\/126. Solve 162*a - w*a = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11811506?\nAnswer: 2, 7, 843679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 11803*f**2 - 5*f - 4. Is 13 a factor of w(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(30) - sqrt(120))*2)\/(sqrt(10) + -3*sqrt(90)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:38 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 242558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4506, 2425, 13976, 30147, 50938, 76349, 106380?\n\"Answer: 2310*j**2 + j - 6817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 - 414?\nAnswer: -335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from vvppmrrvivvmvvmmivmv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 2*c + 4, 0*c = 3*c + 5*h - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**3 + 213*k**2 - 888*k + 900 = 0. What is k?\nAnswer: -75, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 3*n**2 + 18*n - 36. Let j(g) = -2*g**3 + 3*g**2 + 6*g + 6. Let l be j(-1). Let s be c(l). Solve 4*p + 0 = s for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41876956, 41876955, 41876954, 41876953?\nAnswer: 41876952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/3 - 1\/(-3). Let y = 15 + q. Let a(l) = 3*l + 11. Let v(w) = 134*w + 133*w - 398*w + 132*w + 4. Give y*v(o) - 3*a(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 708 = 714. Calculate the remainder when 48 - 8\/(-4) - i is divided by 2 - 3\/(3\/(-26)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 - 81. Let h = 4\/25 + -37\/75. Let y be (-21)\/18 - (-2)\/3. What is the third smallest value in y, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -231 - -267. Are 1\/5 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -12*f + 3645. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 792.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 + 9 + 4 - 17*y + 1. What is the remainder when x(11) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 59. Let a = 3 - g. Let s = a - 18.06. Are s and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 14 = 2. Solve 0 = 4*d + c - 24 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32430 is divided by 100.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-72)\/8 + -5).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 12:29 AM?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 19*u**2 - u. Let m be (4\/5)\/((-19)\/95) - -269. Let j(s) = -136*s**2 - 128*s**2 + m*s**2. Give j(r(a)).\nAnswer: 361*a**4 - 38*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6499 - -6498.8. Let s(n) = -n**3 + 6*n**2 - 5*n + 5. Let v be s(5). What is the third biggest value in 2\/13, 0.19, m, v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -38, -57, -76, -95, -114?\n\"Answer: -19*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.12372 and -134.604?\nAnswer: -16.65320688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pojpw. Give prob of sequence pow.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 20. Let j be (3 - i)*(-697)\/1. Let f = 1218 + j. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 40379352413 + -40377992107.999925. Let r = s - 1360337. Let t = r - -32. Round t to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhs when three letters picked without replacement from {h: 4, l: 2, x: 6, s: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1737008, -3474058, -5211110, -6948164, -8685220, -10422278, -12159338?\nAnswer: -13896400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 30 = 5*p, -4*d = p + 3*p - 8. Suppose -3*f + k + k - 1418 = 0, d*k + 2355 = -5*f. List the prime factors of f\/(-14) + 6\/21.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 9*m - 4. Let x(c) = -8*c**3 + 2*c**2 - 1. Let z be x(-1). Let w be y(z). Let n be 4\/(-14) + w\/(-14). Put 2, 4, n in descending order.\nAnswer: 4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.6, -3, -2\/8657?\nAnswer: -2\/8657","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 + 0.0624. Let j = n - 0.019. Round j to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u - 1874 - 755 = 0. Let h = -165 - u. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 178330067 - 4651.\nAnswer: 178325416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4941 divided by 5\nAnswer: -4941\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2. Let k(i) = 25*i**2 + 57*i - 2. What is k(f(l))?\nAnswer: 225*l**4 + 171*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5\/2)*t**6)\/((t\/t**(-1\/2))\/(t*t*t**(1\/6))) assuming t is positive.\nAnswer: t**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w + 211 + 259 - 722 + 252 + w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/6 + 14*m\/3 + 31\/2 = 0 for m.\nAnswer: -3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 208, 310, 412, 514?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -9. List the prime factors of v*2\/8*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in months?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 4\/3, -8\/17, 2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 346? (a) 68 (b) -2\/11 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220 - 12?\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/20 and 79\/1136.\nAnswer: 5680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbbbbjjbbjbbbbbbbbbb. What is prob of sequence bjb?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**3 - 151*l**2 + 305*l - 153 = 0.\nAnswer: -153, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.89 + -0.11. Let i = 2 + -2. Let o = i + 3. What is the second biggest value in o, -2, y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11051 - 55009\/5. Let k = g + -50. Which is the closest to 3? (a) -0.1 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(245)*-2 + sqrt(245))*1 - (sqrt(245) + (sqrt(245) - 3*(sqrt(245) - (sqrt(245) - (sqrt(245)*2 - sqrt(245)))))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4475533 (base 10) to base 11\nAnswer: 2587597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -o**2 - 21. Let c(n) = -2*n. What is m(c(y))?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2*4.06.\nAnswer: 17.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*a + 84 = 0, 4*m - 3*a - 200 = -74. What is the highest common factor of m and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -21*o. Let j(w) = -w**2 - 7*w + 18. What is the remainder when d(-3) is divided by j(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -30031410?\nAnswer: -30031412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let m = k + -2.9. Let w = m + -0.1. What is the third biggest value in 5, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(2) + -3 + ((2*sqrt(16))\/sqrt(8))**2 + 1 - (sqrt(80)\/(sqrt(8)\/sqrt(2) + sqrt(4)) + sqrt(20))\/(sqrt(10)*-3*-2).\nAnswer: -17*sqrt(2)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3862801*s**4 - 3*s**2 - 2*s + 28021760 with respect to s.\nAnswer: -15451204*s**3 - 6*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g - 46*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 18. Suppose -g = -5*n + 4*g + 30, 2*g = 4*n - m. What is the third derivative of 79 - 10*l**n - 4*l**3 - 79 wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605451 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from cghxahxhxgxxxra.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 18 - -9?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 72*f**2 + 71*f + 959. Let m be b(70). Is -3873 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 3*v - 3. Let n be x(-2). Let l be -2 + 1 + 6 + n. Suppose 10 = l*m + m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 - 4*c**2 - 4*c - 6. Suppose 0 = -3*d + 8*d + 4*z + 26, -3*d = -5*z - 14. Let v = -2 + d. What is f(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -455263.9 to the nearest ten thousand.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 76 = 12. Let q be 304\/(-1 - -3)*-1. Let p = -72 - q. Calculate the highest common factor of p and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19, -42, -95, -190, -339, -554?\n\"Answer: -2*c**3 - 3*c**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*b + 24668 = 10998 + 9658 for b.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 2971*i + 16 - 54 + 16 + 2973*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 + 0.8. Let h = -2 + 1. Let x = -30.4 + 30. What is the nearest to 0.5 in h, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, -32, -69, -110, -155?\n\"Answer: -2*p**2 - 27*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggoejwjgoemgogg. What is prob of picking 1 e and 1 o?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (7 + 3 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933811918?\nAnswer: 2, 13, 83, 432721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 10 (b) 2\/7 (c) -2 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13472 and -0.3.\nAnswer: 13471.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1 + 46\/((-8)\/(-4))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kzkz when four letters picked without replacement from zzkkkkkkkz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3924553623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -2\/1743351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44290*u**2 - 22343*u**2 - 22155*u**2 - 700*u**6 wrt u?\nAnswer: -84000*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113 divided by 21?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3 + 6967*a**2 + 12754*a + 3 wrt a.\nAnswer: -12*a + 13934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-16)\/c**(-2\/7) assuming c is positive.\nAnswer: c**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300 - 2*v**2 + 299 + 3*v**2.\nAnswer: v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2338 + -2341. Let t be 1\/(-3) + 87\/(-9). Sort t, -4, o in descending order.\nAnswer: o, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 8*s - 145. Suppose -g = -4*n + s, 4*n - 3*g - 44 = -7*g. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from jvjek.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*w = -39*w - 164 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14621, 15669, 16707, 17729, 18729?\nAnswer: 19701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q + 45 = 132 + 137 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -485 at least 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - 2)\/((-18)\/(-48)). Let y = v - -10. Suppose n - 11 = -y. Solve h + n = 4*g - 2*h, -5*g = 4*h - 19 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 - 14*l + 4. Let h be b(-7). Suppose 4*i = h*q - 0*q, 0 = i + 3*q - 4. What are the prime factors of 13\/(1\/1*i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g + 3. What is the remainder when 42 is divided by i(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**29*a\/(a**1\/a))\/(a**20*a\/a**(-3\/4)))**(-2\/87) assuming a is positive.\nAnswer: a**(-11\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2190157441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2 - 8*k - 8. Let w(i) = 16*i**2 - 41*i - 41. Let h(l) = -11*v(l) + 2*w(l). Let a(r) = -3*r**2 + 17*r + 17. What is 6*a(p) - 17*h(p)?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 24 - (-4 + 12\/3). Let a(g) = 54*g + 6. Let o be a(3). What is the highest common factor of v and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wiww when four letters picked without replacement from wwfif.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 9 = 3*z, -9*g - z = -4*g + 11. Let t be (0 + 0)\/(1*-2). Which is smaller: t or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -9. Let g be (-21)\/4 - (-3)\/12. Let u = g + 8. Solve u*n = -f, -5*n - 23 = -3*d + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 15*o - 32. Let d be -1 + (-4 - -4)\/4 + -3. Does 6 divide p(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3 - n**3 - 15*n - 2*n**3 + 7*n**2 + 4*n. Let h(x) = -x**2 - x. Let t(a) = -2*h(a) + p(a). Factor t(q).\nAnswer: -3*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -70, -266, -652, -1294?\n\"Answer: -11*a**3 + 4*a**2 - 7*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3447 is divided by 38.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*k - 193, -3*l - 5*k + 37 = -290. Suppose 9*x = 13*x - l. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.2669395 millennia?\nAnswer: 3203.274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*h**3 - 12*h - 6*h**3 + 12*h.\nAnswer: -150*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 2)*(4*p**2 - 38*p**2 - 64*p**2 + (4 + 0 - 2)*(2*p - 2*p + p**2)) to the form n*p**2 + k*p + h and give n.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.2 - 3.7. Let u = t + 32. Let o = u + -0.8. What is o rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckckcskskcccskk. What is prob of picking 3 c and 1 s?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -7651*f + 30603. Give v(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/3 + (-2489)\/(-3). What is o rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -3. Let j(v) = 7*v + 1 + 7*v - v + 8 - 2*v**2. What is the smallest common multiple of j(7) and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c**3*q + 41516779*c**3 - 2*c + 455141168*q wrt c?\nAnswer: 6*c**2*q + 124550337*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5, -5*x - k = -0*k - 26. Suppose 4*r - 3 + 11 = 4*m, x*r + 19 = -4*m. Let v(o) = -106 + 47 + 60 + 5*o. Give v(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*p - 127 = -4*v, -4*p = -12. Suppose -5*o = -4*j - v, -5*j = -2*j + 6. Let n(u) = 6*u - 4. Does 18 divide n(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 36527*c**3 + 4*c**2 + 4*c - 9. Let x be i(6). Suppose -3*s - 7889997 = 3*r - 2*s, -3*s - x = 3*r. Round r to the nearest 100000.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 19 - 14. Suppose -o*k + 2*t + 80 = -2*t, 4*t + 32 = k. What is the remainder when 2 - 45\/(-1 - 0) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**3 + 2 + 10*y**2 + 66*y - 184*y - 2*y**3 - 5*y**2 + 97*y to the form w + j*y**2 + g*y**3 + t*y and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 6:32 PM?\nAnswer: 2:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 112 divided by -14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 762*f**3 - 745*f**3 - 29 + 21 as m*f**2 + v*f + i + l*f**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(19))*5 - (3 + (-1 + sqrt(19) - sqrt(19)))) + (sqrt(190) + sqrt(190)*-2*6 + sqrt(190))\/(sqrt(810) + sqrt(810) + sqrt(810)*-2 + sqrt(810)).\nAnswer: -22 + 35*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4568*i - 570*i = 143343 + 139247 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 909 - 908.9998872. Round u to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 70 + 100 = 0. Put -5, 0, 1, m in decreasing order.\nAnswer: 1, 0, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 15. Suppose u + 4*u = 50. Let h = u + l. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*y - 34 = -170 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2102074, -4204131, -6306188?\n\"Answer: -2102057*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (98\/(-20))\/((-44)\/(-55)) and -53\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n**4 - 152459124*n**3 - 200995898*n**2?\nAnswer: 48*n - 914754744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11685668, 23371342, 35057016, 46742690?\n\"Answer: 11685674*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3\/6 - i**2 + 2*i. Let r be u(-7). Calculate the greatest common divisor of r and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjjm when four letters picked without replacement from jvgmmjvvvvjjvjgpmvj.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2443.7 + -2444. Which is the nearest to r? (a) 188.3 (b) 2\/21 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1983621405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppcppppppopcpop. Give prob of picking 1 p, 1 o, and 1 c.\nAnswer: 44\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*h + 33184 = 5*r, h = -5*r + 55309. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -60. Suppose -4*r + o = 3*v, 3*v + 3*r = 105 - 42. Solve 3*c - 8*c - v = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 661 by -4381.\nAnswer: -661\/4381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12*u**2 + 2*u - 2. Let k(l) = 6*l**2 - l + 1. Give 7*k(z) + 4*y(z).\nAnswer: -6*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 16*w - 13. Let h be n(1). Let d be 1\/(3\/(-21) - 6\/7). Sort 1, h, d, -7 in descending order.\nAnswer: h, 1, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.064902 in -1, 0.1, -32?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - r + 30 = 2*r, 5*q - 4*r = 14. Let j = 4 - 5. What is the units digit of 58\/q + j\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 869374*r*y**3 - 24*r*y**2 + r*y - r + 93*y**3 + 2*y**2 + 70*y - 8 wrt y.\nAnswer: 5216244*r + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23443977 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/1*16\/(-40). Let x(w) = 2 + z*w - 7*w**2 + 9*w**2 - w**2. Give x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3)\/h**(-3\/2)*(h\/(h**(2\/13)\/h))\/(h*h**(2\/7)*h*h))\/((h\/(h*h**(-2))*h)**(-10)\/(h**(-2\/5)\/h**(1\/4))) assuming h is positive.\nAnswer: h**(48067\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 3*m + 36, 0 = y + 20*m - 391 + 477 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35124*a*j**2 + 2*a*j - 1189803*a - 3*j**2 wrt j?\nAnswer: -70248*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257 is divided by 76?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1933*a**2*r**3 + 973*a*r**3 - 2*a*r wrt a?\nAnswer: 3866*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*w + 21, 12 = 3*w - 2*p + p. Suppose 3*v = n + 13, 0*n + w*n = -3*v + 21. Find h such that -2\/5*h + 0 - 2\/5*h**n = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5253, -5252, -5251, -5250?\n\"Answer: i - 5254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**4\/4 + 107*a**3\/2 + 2785*a**2\/4 - 750*a = 0. What is a?\nAnswer: -200, -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -115 and 29.3669.\nAnswer: -85.6331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one quarters of a day?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -61*c - 650. Let r = -75 - -113. Calculate the remainder when r is divided by v(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*t**5 - 219*t**4 + 1077*t**3 - 633*t**2 - 9*t = 0. Calculate t.\nAnswer: -3, -1\/72, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -2, -1, 1.6 in descending order.\nAnswer: 1.6, -3\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*s - 5 = 96*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.376024g in tonnes?\nAnswer: 0.000001376024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1015354 * 5\nAnswer: -5076770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174163 = 21591*y - 19138*y for y.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*q - 9122, 40947 = 9*q + 800*l - 801*l. Calculate the remainder when q is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/298106322 and 95\/351696.\nAnswer: 2384850576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -9 + 7 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 + 4)*(-4 - 2*t + 6 - 1) to the form b + q*t and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -50 bigger than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 611 - 532.43. What is y rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*h = -2*g + 76, 0 = g + 5*h + 4. Calculate the remainder when 150 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 6*j - 7. Let t be x(-4). What is the derivative of 3 + 7*i**4 - 20*i**2 + 20*i**2 + t wrt i?\nAnswer: 28*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 19963230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6675 - -6679. Solve 2*s + y*p + 4 = 6, s - 3 = -p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 6 + 12)*(1 - 2*m - 1 + m + 1 - 1 + (-2*m + m + 2*m)*(1 + 4 - 3) - m + 2 - 2 - 27 + 4*m + 17 - 5*m).\nAnswer: 22*m + 220","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5)*60\/(-2))\/(-22).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + b + 10 = 2*u, 5*b = 4*u - 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-100)\/30 + 10)*(-12)\/5. Let h = 818 - 815. Sort 13, z, h in ascending order.\nAnswer: z, h, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, -1, 18, -4 in descending order.\nAnswer: 18, -1, -3, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 1. Let h(a) = -30*a + 5. Let m(d) = -h(d) - 6*z(d). Let n be m(1). Let b = n - 25. Calculate the least common multiple of b and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-60)\/(-10))\/((-128)\/16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*q = -2*q - 20, 2*q + 12 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -41 + -1b5?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236651.\nAnswer: 89, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 7*b**2 - 5*b - 6. Let n be g(6). Let z = 4 - n. Solve z*p - 13 = -5*l, 3*l = l + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2668 and 1150430.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1230 + -828. Calculate the remainder when t is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a hour in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7564 and 8.\nAnswer: 7572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 6*t**2 - 6*t + 2. Determine i(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**2\/3 - 21226*k\/3 - 3486140 = 0.\nAnswer: -10095, -518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-five halves of a kilometer?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 4*l - 1. Let q(d) = -1913 + 966 + 946. Calculate -q(k) - v(k).\nAnswer: k**2 - 4*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -12, 23 = -u - 5*t + 12. Suppose 20*d - 24688 = u*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 3*z**2 - 14*z + 65. What is f(6)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180259*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**5 - 16*o**5 + 0*o**5 + 1)*(2 - 4 - 1) + o**5 - 4*o**5 + o**5.\nAnswer: 46*o**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + 11 + (-22 + 76 - 4) + (13 - 0).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 20 = 5*o. What are the prime factors of (-4 - -15) + o\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 65*y = 379456. Is y a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-22)\/u**1 assuming u is positive.\nAnswer: u**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1136180002*v**3 + 34850235*v**2 - 11*v.\nAnswer: -6817080012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-720)\/(-25))\/12*5\/(-90)*2?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10161 and 6.\nAnswer: -10155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0.5 (b) -1\/106 (c) -235 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*r + r + 15597 = 0, -3*s + 11688 = 4*r. What is the thousands digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -12*w**2 - 4373. Let b(g) = -21*g**2 + 9. Give v(b(s)).\nAnswer: -5292*s**4 + 4536*s**2 - 5345","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -907, -613, -323, -37, 245, 523, 797?\n\"Answer: -2*o**2 + 300*o - 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 297\/65 + -49\/13. Which is the fourth smallest value? (a) -5 (b) -0.01 (c) v (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38900 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 770 + -784. Put 3\/5, -1\/11, 0.4, s in decreasing order.\nAnswer: 3\/5, 0.4, -1\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*(-4 - (-1)\/(25\/(-440))). Suppose 84*l - 75*l - w = 0. Let i = -49 + 76. What is the smallest common multiple of l and i?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1918 and 10?\nAnswer: 9590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.04, 2, -5, -2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.31629 days to seconds.\nAnswer: 6248127.456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3793744 to the power of 1\/3, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*k + 3795 = 0, -83 - 696 = -i + 4*k. What are the prime factors of i?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:18 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8095\/6 or -1348?\nAnswer: -1348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/(-33) + 3787\/770 and -77\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (840*p + 342*p + 39*p + 219*p)*(-2*p**2 + 0*p**2 + 0*p**2).\nAnswer: -2880*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*r - 1. Let u = -20437 + 20435. Sort -0.2, u, r, -10\/9.\nAnswer: r, u, -10\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 373 - 1644 + 776 for m.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*w - 297*w + 384*w.\nAnswer: -149*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 3*l**2 + 10*l + 5. Let d be x(-5). Suppose -3*c + 34 = d*j, -6*c + c + 5*j = 10. Solve 0 = 7*q - c*q + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -24. Suppose -y*w = -69 - 3. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972)*-2*-4 - ((sqrt(972) - (sqrt(972)*2 + sqrt(972) + sqrt(972) - sqrt(972))) + 5)**2) + -3.\nAnswer: -3916 + 504*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 234 divided by 1\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 18*m + 25. Suppose 2*o = -3*o + m. Suppose 0 = o*u - 20 - 115. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 653653 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 19 - 8) + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.6862 minus -330?\nAnswer: 354.6862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2130 (base 4) in base 6?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t**2 + 5*t + 2. Let p be f(-1). Solve -14 = 5*c + p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 2:48 PM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 10*y - 13. Let t be r(-10). Let z be t\/(-3) - 6\/18. What is the third derivative of 34*f**4 - 9*f**6 - 34*f**z + 9*f**2 wrt f?\nAnswer: -1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1200312 (base 5) to base 8.\nAnswer: 52705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 119.8732 millilitres?\nAnswer: 0.1198732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/(sqrt(55)\/sqrt(5)) - -2*sqrt(4)*2)\/(sqrt(50) - (4*sqrt(2450) - sqrt(2450))) + -3.\nAnswer: -3 - sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1.24, -2\/11, -1\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -7 (b) -0.5 (c) -36432\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -292920.17539 and 0.3?\nAnswer: 292920.47539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4\/5 - 314124*a**3\/5 - 8221252728*a**2\/5 - 71667353319952*a\/5 + 215372228406816.\nAnswer: -4*(a - 15)*(a + 26182)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k**3 - 6*k**2. Let f be 30\/26 - 1 - 80\/13. Let y be 2 + (2 - (5 + -1)). Let v(u) = 19*u**3 + y*u + 0*u + 13*u**2. Give f*v(i) - 13*g(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 21*l**3 - 8*l**3 - 11*l**3 - 3*l**3.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78909?\nAnswer: 3, 29, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -11) + -11 - (-2 + 11) - 20?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65818, 2, 28 in increasing order.\nAnswer: -65818, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 9*i + 2 - 2*i + 0)*(-3*i**4 + 2*i**4 - 16*i**4).\nAnswer: -119*i**5 + 17*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256.916*0.1.\nAnswer: 25.6916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 81*f. Let u(k) be the first derivative of -k**2 + 235. Determine u(j(z)).\nAnswer: -162*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14241 + -13?\nAnswer: 14225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -50, -3 in ascending order.\nAnswer: -50, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2836315 (base 9) to base 7\nAnswer: -16153622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 530 - 528. Let i be (-8)\/20 + 96\/540. Let f = 8 - 13. Which is the closest to f? (a) 0.3 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1637, 1122, 619, 134, -327?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 - j**2 + 2*j + 2. Let z(b) = 3*b - 54. Calculate the remainder when v(-2) is divided by z(19).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g*n**6 + 47057*g*n**2 - 80*g - 6376418*n**4 wrt n?\nAnswer: -240*g*n**3 - 153034032*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 8:27 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8121, 7997, 7873?\nAnswer: 7749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8 and -4.58.\nAnswer: -12.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -1134681?\nAnswer: -1134677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c + c + 2*c - 4*c + 2*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-26) + (-2200)\/(-1456) - (-2)\/(-4). Let q(h) = -h - 6. Let m be q(-7). Which is the nearest to s? (a) 3\/8 (b) m (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*f + 4 + 4 = 0, -5*y + 3 = -2*f. Let r(x) = -x + 1. Give r(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0, -1\/2, 0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35310 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 6*b. Let g(n) = -3*n + 2*n + 2*n. What is x(g(u))?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t**2 + t - 31. Let a(g) = -g**3 + g. What is a(q) + s(q)?\nAnswer: -q**3 - 3*q**2 + 2*q - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3661\/18164 - -240\/239. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n\/(n\/n**(-1\/5)))*n)*n**(-2\/17))\/((n**(-1\/3)*n)\/n)**(10\/11))**(-23) assuming n is positive.\nAnswer: n**(65458\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -235255.562 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -134, 3\/4, 0.2, 7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*q = -25*q + 129*q + 19600 for q.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 168209.5599 rounded to the nearest 100?\nAnswer: 168200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 436.38869 to one decimal place.\nAnswer: 436.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*t - 408, 4*t - 520 - 307 = -3*m. Suppose 4*q = -c + 218, 0*c + 2*q = c - t. Calculate the common denominator of (-4)\/(-6) - 371\/c and -37\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 108. Suppose 4*j + v = j. What is the units digit of 1*(-3)\/9*j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -98 = 2590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -142390*r**4 + 8*r**3 - 10148639*r.\nAnswer: -1708680*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1561085417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 491 - 491. Let r be 0 + a - (-36)\/(-63). Sort -6, -0.05, r, -5.\nAnswer: -6, -5, r, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1142765602?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l\/(l**14\/l))\/l)\/l)\/l**(-2\/53)*(l*l\/l**(-1\/9))\/l**(-1))**(-43) assuming l is positive.\nAnswer: l**(181546\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 + 172. What is the smallest common multiple of 8 and z?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1606*q + 22794. Determine f(14).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -465.1, 0, 0.2, -6\/5, -1, -1\/4 in increasing order.\nAnswer: -465.1, -6\/5, -1, -1\/4, 0, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76207 * -0.4.\nAnswer: 30482.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n. Let o be (-36)\/27*(-2 + (-39)\/(-6)). Let j(a) = -182*a. Calculate o*j(w) + 154*z(w).\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 11:07 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/8)\/(1\/(-1)). Let v = 20.7 - 106.7. Let x = -88 - v. Which is the biggest value? (a) 2 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/4, 33 in increasing order.\nAnswer: -1\/4, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43543 and 472?\nAnswer: -20552296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmy when three letters picked without replacement from qmmqmqqqqqqmqy?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + ((sqrt(891) - (sqrt(891) + (sqrt(891) - 1*sqrt(891)) + sqrt(891))) + 2 + -1 + 1)*-4*6.\nAnswer: -40 + 216*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (33456\/(-2788))\/(18\/14)?\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -255 - -254.9. What is the closest to 2\/3 in b, 1, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.29 - -1.3. Let s = r + 7. Let x = 0.49 + s. Which is the third biggest value? (a) -2 (b) -1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 178 + -179. Suppose 4*z - 227 = 1. What are the prime factors of z\/12 + b\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 4*i - 1 = 18, 6 = -2*m + 3*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*o = 101 - 531. Suppose -4*k = -7 + 23. Sort 1, k, 5, o in descending order.\nAnswer: 5, 1, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmuu when four letters picked without replacement from {m: 1, u: 2, b: 1, g: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 15*y - 12*y = 315, -4*s + 4*y = -1228. Find the second derivative of -s*j + 239*j + 110*j**2 + 29*j**2 wrt j.\nAnswer: 278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4 - 0.7. Let v = h + 4.3. Let l = 3.94 - -0.06. Sort l, v, 0.5.\nAnswer: 0.5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z - z + 8392. Let u = 1918 - z. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 - -104. Let m(y) = 2*y - 9. Let f be m(q). Round f to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 8213172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -5*t - 7. Let v be d(-1). Let p(i) = -i**2 - 3*i. Calculate p(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from maguiqi. Give prob of picking 1 q and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 15) to base 2\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188111 - 66400. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and 62.4?\nAnswer: 1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.5 + 5. Let r = -1 + t. Let i = 0.0568 + 0.2432. Which is the nearest to -0.2? (a) i (b) -2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*z**2\/9 + 438*z + 188.\nAnswer: -2*(z - 282)*(7*z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -17*w + 88. Let c(q) = -25*q**3 + 7 + 21*q**3 + w*q**2 + 3*q**3 - 3*q. Let x = -32 + 38. Calculate c(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 546.817 litres to millilitres.\nAnswer: 546817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 206*u - 1585. Let t be q(-8). Do 1\/198 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 7:14 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - x**2 - x + 1. Let g(o) = -1176*o**3 - 569*o**2 - 2*o + 2. Let c(q) = g(q) - 2*t(q). Find the third derivative of c(f) wrt f.\nAnswer: -7044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*(-2)\/(2\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 86248180 to the power of 1\/2, to the nearest integer?\nAnswer: 9287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, l: 5, g: 1, a: 8}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 324 - 160. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7268 in -15, -22\/7, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743959 is divided by 866?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/f**(1\/5))\/f**(16\/3) assuming f is positive.\nAnswer: f**(-38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(u - 3*u + 0 - 1)*(5*u**4 + 64*u**2 - 64*u**2).\nAnswer: -10*u**5 - 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38)\/3*-2*21\/14. Calculate the highest common divisor of 646 and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7989104 to the power of 1\/2, to the nearest integer?\nAnswer: 2827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(505\/126 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3225*u + 222518. Calculate s(69).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s**2 - 8*s - 8. Suppose 4*g - 6*g - 16 = 0. Let u(p) = 18*p + 1 + 4 - 4*p**2 - 13*p. Calculate g*u(w) - 5*f(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 81 - 433996\nAnswer: -433915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m. Let o(v) = -2*v - 4*v + 5*v + m*v. Let c(i) = -i**2. Determine c(o(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 23 = -5 + 352. Calculate the greatest common divisor of d and 1161.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2155 - -348. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - 2*n + 2. Let a(q) be the second derivative of -q**4\/4 + q**3\/6 - q**2 - 443*q. Let g = -7 + 5. Give g*t(z) - 3*a(z).\nAnswer: z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 g when four letters picked without replacement from ggggggggtgggggtggg?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 67464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 24 times -419.5407\nAnswer: -10068.9768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/12 and 15705\/(-4680) + 0\/(-2) + 4?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181764813?\nAnswer: 2609, 452957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19200*h + 19043*h = -7222 for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*w - 41*w + 25*w = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -9. Let n = 0.0983 - 0.0283. What is the smallest value in 9, n, o?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -261*k + 1505. What is f(5)?\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-9\/5)\/(n*n**(-2\/17)*n)*n**(-6\/13)\/(n*n**(-1\/39)) assuming n is positive.\nAnswer: n**(-16967\/3315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {l: 10, i: 6, v: 1}.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2 + 25*i - 21. Give m(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 2:10 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28351\/3 - 9539. Let q = h + 89. Sort q, 2, 6\/11 in increasing order.\nAnswer: q, 6\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51452 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/4 - 21\/14. Let j = n + -8. Suppose 4*l + 0*l - 8 = j. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 210 + 7*j**2 + 15*j**2 - 2*j**2 + 275*j**3 - 19*j**2 with respect to j.\nAnswer: 825*j**2 + 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from gcvgcgvgycycvgc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 4. Suppose 0 = 3*b - 5 - f. Suppose 2*j - z = 7, 2*j = z - b*z - 13. Solve 3*r + 11 = -j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3807 and 550.\nAnswer: -2093850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {k: 3, g: 7, w: 1, c: 4, n: 2}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9573*k*t*w**2 + 3*k*t*w + 64*k*t + 178*k - 508*t*w**2 - 2*t*w + 94*t - 37*w**2 + 2 wrt w.\nAnswer: 19146*k*t - 1016*t - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -181800000 to the nearest one million.\nAnswer: -182000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 18. Suppose -4*u = 2*l - d, 5*l - 4*u + 9 = -27. What is the nearest to 2\/3 in 5, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41568131419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -3*x**3 - 12*x**2 + 15*x + 7. Let n(y) = 4*y**3 + 12*y**2 - 16*y - 8. Let g(h) = -5*j(h) - 4*n(h). Is 15 a factor of g(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2821309?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98.2 + 713.8. Let j = p - 812. Which is the second smallest value? (a) j (b) 2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) -38523 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 17179 = 3*c, 2*y + 2*y = 5*c + 13751. What is the least common multiple of 20 and y?\nAnswer: 34340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/114 + (-230)\/6. Let u be 22\/6 + w\/57. Solve 0*x + u*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**2 - 119*l + 4. Let y be (34\/2)\/(73 - 74). What are the prime factors of v(y)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2 - 6*m - 6. Let w(a) = -54*a + 1455. Let v be w(27). What is q(v)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(4*r - 4 + 4) + (0 + 0 + 2*r)*(2 - 3 + 7) + r + 14 - 14 + (-2*r + 3*r - 3*r)*(-2 + 4 - 1).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147716 (base 11) to base 12.\nAnswer: b0b98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -4515.\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**2 - 1. Let w(j) be the first derivative of -5 + 0*j - 2\/3*j**3 + 0*j**2. Calculate w(i(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2. Let f(p) = -9*p - 4*p - 4*p + 3*p. Determine y(f(t)).\nAnswer: 196*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69294?\nAnswer: 2, 3, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 25*y + 45. Determine a(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1247 - -1250. Let p = -2.131 - -2.03. Which is the second smallest value? (a) i (b) -1\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m**2 + 21*m - 22. Let a be g(-11). Let b = a + -63. Calculate the remainder when b is divided by (-14)\/(-1) - (-8 + 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/117*-42)\/(168\/36*(-3)\/(-7)).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 2*v - v)*(3*v**3 - v**3 - 7*v**3) + (-4 + 4 + v**2)*(2*v**2 + v**2 - 4*v**2).\nAnswer: -16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 60353\/84968 - -1\/4472. Let a = l - 4\/19. Find k, given that a*k**3 - 1\/2 + 3\/2*k - 3\/2*k**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 853, 814, 775, 736, 697, 658?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 12515053?\nAnswer: 12515051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(960))\/(sqrt(12)*2 - sqrt(3)) - (2 + -4*(sqrt(500) + 1)**2)).\nAnswer: 496*sqrt(5)\/3 + 4004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*k - 6 + 6)*((-2 + 0 + 7)*(-k**2 - 3*k + 3*k) + 9*k**2 - 2 - k**2 + 5).\nAnswer: 51*k**3 + 51*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j**3 - 1661*j**2 + 68879*j + 11526.\nAnswer: (j - 226)*(j - 51)*(6*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - j + 768 = 0, 0*j - 5*j + 752 = -u. Is u\/(-6)*(3 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 7) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000761318 rounded to five dps?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001017736378 rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 194314227 is divided by 296.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.1185 years in millennia?\nAnswer: 0.1811185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 8:48 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6*w = -2*w - 20, w - 33 = -5*h. Calculate the lowest common multiple of 2 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93744 and 17088.\nAnswer: 33372864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 19*(-155)\/(-697965)*1817\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 + 3*y**2 + 0*y**2)*(-3 + 0 + 1)*(14*y - 19*y - 13*y) + 180*y**2 + 186*y**3 - 359*y**2 + 176*y**2 to z + h*y + m*y**2 + j*y**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*y + 10. What is the tens digit of ((-24)\/y)\/((-4)\/(-20))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*k + 4 + 14, 3*k + 3 = 0. What is the second derivative of 2*p**4 - 102*p + m*p**5 - 70*p + 18*p wrt p?\nAnswer: 200*p**3 + 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 17*z**2 - 15*z - 22. Let b be h(16). Let v(c) = c**2 - c - 6. Let o be v(b). Let l be (-8)\/o + 94\/18. Solve u - 8 = l*a - 3, 5*u = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - 85. Let t(j) = 0*j - 4 + 2 + 5*j + d. Suppose 1 + 1 = -l. Calculate t(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1315 - -0.1?\nAnswer: 0.2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30002 + -2?\nAnswer: -30010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-114)\/4*(-12)\/9. Suppose 6*j - 78 = 3*j. Let n = x - j. Solve -3*a - 5*z + 4*z = n, -4*a = 2*z + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 5:09 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72 * -22.\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1552 divided by 3741.\nAnswer: 1552\/3741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:01 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 7:38 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 17 + 7 + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87302, 89321, 92698, 97439, 103550, 111037?\nAnswer: 119906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22579059 or 1\/4?\nAnswer: 22579059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiiiiizi?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 divided by 10?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 10687*x + 94 = -10690*x, 2*z = 3*x + 98 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 978*(-2 + 1 - 0). Let n = -15669\/16 - x. Calculate the common denominator of -53\/12 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40318986 to the nearest integer?\nAnswer: 6350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -396098 less than or equal to -396099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/8 + 61*k\/8 + 399\/4.\nAnswer: (k + 19)*(k + 42)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53150509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-10) + (-32)\/40. Solve u + g*v + 2 = v, -3*u - 5*v + 26 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.46 - -10.63. Round i to 1 decimal place.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/189 and -67\/324.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (34\/8)\/((-4)\/(-16)). Suppose 16 + a = 3*q. Calculate the remainder when 20 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -2, -2\/33, -1.6, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -50. Solve 0 = y - 3 - 1, q*j + 3 = 2*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9705840?\nAnswer: 2, 3, 5, 37, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -106 divided by 108516\nAnswer: -53\/54258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 2 = 2*f, -3*b + 6*f = 5*f + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5772*h**4 - 38*h - 102?\nAnswer: 69264*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -2 + -3)*4\/(-12). Let v = f - 1. Let k be (1 - v*6)*(-30)\/25. Sort 3, -5, k.\nAnswer: -5, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times 0.143\nAnswer: 0.0858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -20*((-2)\/(-14))\/(20\/(-70))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktlilmc. What is prob of sequence lil?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-264)\/1503*(-4)\/(-3). Let d = 2\/167 + t. Let y = 38 - 37. Which is smaller: d or y?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 556 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14842339.\nAnswer: 997, 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*m**4 - 2*m**3 - 46754*m - 11495016?\nAnswer: -24*m**3 - 6*m**2 - 46754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 2*n**2 + 3*n - 2. Let y be q(3). Which is bigger: y or -40\/33?\nAnswer: -40\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2 + 2892827*h = 0. Calculate h.\nAnswer: -2892827, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 424 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -3*k + 15, 3*k - 6*k + 15 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 2\/33, 1.1, 2\/7, 0.041, -0.2?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 12, -372*n + 53 = -5*l - 369*n for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-78)\/90 - -1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*z - 3 - 173*z - 1 + 9 - 3 to the form f*z + q and give f.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-273)*(-7)\/(-1)*-1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 21*m. Let t(n) = 97875 - 97875 - 189*n**2. What is v(t(w))?\nAnswer: -3969*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 98.3724 hours?\nAnswer: 5902.344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55440 by 90.\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 1848.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**3 - 64720*t**2 - 452855*t - 776220.\nAnswer: -5*(t + 3)*(t + 4)*(t + 12937)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (87 - (99 + -25)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.5614 + -14.5614. Sort m, -3, -165.\nAnswer: -165, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2248, 10690, 25342, 46198, 73252?\n\"Answer: -y**3 + 3111*y**2 - 884*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 9*s - 210 = 0. Suppose -772659 - 326661 = -s*q. Let u = q - 5863161\/80. What is the common denominator of u and -39\/14?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -187842.\nAnswer: 187842.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-3))\/((-1)\/(21\/14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 21. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q. Let g(w) be the second derivative of -w**4\/12 + 4*w. Give g(p(f)).\nAnswer: -81*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 - 95. Suppose 19 = -s*y + 27. Let u(l) = -l**3 + 9*l**2 - 7*l + 4. Calculate the remainder when u(y) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 8 = -4*a - 2*x, 6*a - 27*a + 24*a + 3*x = -12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -168*a*w**4 + 2513*a*w - 547*a - 763 wrt w?\nAnswer: -672*a*w**3 + 2513*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47615460 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 514*n - 509*n - b, 4*b = n + 26 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24015760693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 59. Calculate the smallest common multiple of 66 and s.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4))**(-15) assuming k is positive.\nAnswer: k**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269949?\nAnswer: 3, 89983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(76) + sqrt(76) + ((sqrt(76) + (sqrt(76) - sqrt(76)*-2))*1 - sqrt(76)))\/(4*sqrt(1764)))**2.\nAnswer: 76\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-9 - (-20)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/39*-3*54\/(-24)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -25dc2?\nAnswer: -25dc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1182818142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-18) + 2*4\/(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15484 - -15483. Let u(n) = 3*n**3 - 6*n**3 + 2*n**3. Let f(z) = -4*z. Calculate g*f(t) - u(t).\nAnswer: t**3 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**5 - 513*g**4 - 1995*g**3 + 74205*g**2 + 77592*g - 149292 = 0. Calculate g.\nAnswer: -13, -2, 1, 11, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -220*i + 804. Calculate p(5).\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-10)*(f**(-4\/7)*f*f)\/f)\/(f\/(f\/(f*f**(-2\/21)*f)))**(-14\/5))**(-7\/6) assuming f is positive.\nAnswer: f**(89\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) + 2*sqrt(99))*-6)\/(sqrt(1296) + (sqrt(1296) - sqrt(1296)*2) + sqrt(1296)) + (((-3 + sqrt(396))*-4 + sqrt(396))*3)**2.\nAnswer: -46673*sqrt(11)\/12 + 33372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 7:17 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 1 (b) 3 (c) 1\/4 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 9*p**2 + 9*p + 11. Let u be i(-8). Suppose 0 = 2*r + k - 498, r + k + 498 = u*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101*2424\nAnswer: -244824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.05082g to kilograms.\nAnswer: 0.06805082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1.822?\nAnswer: 5.466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 93, 163, 271, 423, 625, 883?\nAnswer: 1203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 548651 or 548681?\nAnswer: 548681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 1, -1\/4, 7, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 39 = -37. Let i = -26 + h. Let t be i\/10*160\/6. Solve 4*r = 4*x + t, 2*x + 30 = -x + 5*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-1 - (3 + -3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45609 + -31656. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b - 48. Calculate the highest common factor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5 + 844*c**4 - 39477*c**3 + 468908*c**2 - 430276*c = 0.\nAnswer: -889, 0, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 600\/16*4\/5. Suppose x + k = -5*x. Let o(i) = i**3 + 6*i**2 + i + 4. Calculate the remainder when 69 is divided by o(x).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.2 (b) -3\/5 (c) 0.3 (d) 0.062\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22064?\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-888)\/(-296)*2\/(-28)\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1619930224007 and 5.\nAnswer: 5.1619930224007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - 25 - (-2 + 0)) + 52 + -14?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25021 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 >= 2051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33073 - -33072.981055. What is v rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 4*p + 3. Let v be f(5). Suppose 0 = 3*b - v + 2. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 21276.\nAnswer: 21276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0598 + -15.7002. Let r = d + 16. Let k = r + -0.24. What is the closest to k in 0, 0.4, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3 + 5 + 3 - 4 - 11*t. Let c be q(5). List the prime factors of c\/(-2)*1\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7246*h**3 - 176*h + 1288*h**3 + 243 + 348*h - 187*h wrt h.\nAnswer: 51204*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 21*v**2 - 4*v - 26. What is the remainder when z(-3) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = -3*f, 3*y - 12 = 5*f - 2*f. Let x(p) = -p**2 + 3*p. Give x(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 5*f + 1 = 0, 5*s + 86*f = 83*f + 8. Let z(x) be the first derivative of s - 4\/21*x**3 - 4\/7*x**2 + 12\/7*x. Solve z(g) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 15*k**2 + 15*k - 10. Let y be (-312)\/(-22) + (-1)\/22*4. Let f be n(y). Solve q + f = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 43.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -1819*x - 1692. Give i(-1).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.136 - 0.736. What is the nearest to 0 in r, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/11 (b) -9\/61 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1097, -2191, -3285, -4379, -5473?\nAnswer: -6567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1120, 2211, 3288, 4351, 5400?\nAnswer: 6435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -5*v + 5, 4*p - 1 = 3*p - 4*v. Suppose -3*o - u = -22, -2*o - 4 = p*u - 10. Solve m + 5 - o = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15774 is divided by 464.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 1 (c) 91 (d) 0.45 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 7*h**2 - 22)*((3 - 1 - 1)*(-h + 2 - 2) - 4 - h + 4 - 298*h + 412*h - 289*h).\nAnswer: 1239*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 11:45 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 - (1 + -13 + 4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 712 a factor of 52769455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 3\/2, -10415, -1\/3, -36\/55?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3833 = -19*m - 157. Let h = 214 + m. Which is the second smallest value? (a) 0.4 (b) 0.1 (c) h (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 24?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, w: 4, z: 2, h: 1, m: 3, t: 1}. Give prob of picking 1 z and 1 h.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -3*l**2 - 2*l. Let k(r) be the first derivative of r**2\/2 + 10. Let i(c) = 3*d(c) + 6*k(c). Let m(b) = 2*b**2. What is m(i(f))?\nAnswer: 162*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 125620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 29833823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(55) - (sqrt(55) + sqrt(55)*1 + sqrt(55))))\/(4*sqrt(396)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 - 3*c**2 + 7*c**2)*(7*c**3 + 37*c**3 - 6*c**3).\nAnswer: 38*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7889066 divided by -15.\nAnswer: 7889066\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/13728 and 109\/24.\nAnswer: 13728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9 (b) -2 (c) -3\/5 (d) -77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -20*v**2 + 38*v - 4. Let b(y) = 4*y**2 - 8*y + 1. Give 14*b(c) + 3*t(c).\nAnswer: -4*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -8 - -12 - 1*-7. Suppose 193 = h*z - 49. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 8*g + 42. Calculate l(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/(-1872))\/(2\/24).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 22, 33, 44?\n\"Answer: 11*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28870, 57693, 86510, 115321, 144126, 172925?\nAnswer: 201718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 13*s - 78. Calculate w(-11).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 443 = 4*d - 3*d. Let x = d - 232. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3451 - 3149. Calculate the lowest common multiple of a and (5 + -1)\/((-2)\/(-5)).\nAnswer: 1510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14223 (base 7) in base 16?\nAnswer: -f30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 396 = -12*a. Put a, 5, 2 in decreasing order.\nAnswer: a, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:00 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -28*v + 2. Let r(s) = 2*s**2. Calculate r(d(n)).\nAnswer: 1568*n**2 - 224*n + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 130972 divided by 160?\nAnswer: 32743\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 965.\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207025 is divided by 68996.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22965 - 0.2701. Let g = 5 - 4.5. Let q = g + d. What is q rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14336 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 8 - 0. Let l = -5 - t. Suppose 4*m - 41 = j + 3, 2*m - 8 = -l*j. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 5 (b) 4 (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n = -5*c + 583, 5*c - 4*n = 581. Suppose 6*p + c = 3*p. Let t = 90 + p. Calculate the greatest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*l**3 - 3*l**2*u**2 + 84967*l**2 + 14*l*u**2 + l*u - 6058*u**2 - 20*u wrt l?\nAnswer: 60*l - 6*u**2 + 169934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - y + 8 = 0, -14 = q - 2*q - 4*y. Suppose -q*f + 11*f - 40 = 0. Let v be 1\/6*f\/(-6). Which is the third smallest value? (a) v (b) 0 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.042271 tonnes in nanograms?\nAnswer: 8042271000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-14)*(10 - 2). Let w = 18725 - 18729. Which is the biggest value? (a) w (b) 4 (c) o (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 111*c**3 - 71 wrt c.\nAnswer: 333*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 4, 2, -4, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 89839.65 millennia?\nAnswer: 898396.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idlnhhdit. Give prob of sequence dnd.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 39.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -269*o + 273*o - 15, -m - 3*o + 12 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 3:42 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 0.5 (c) 0.1 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*4*(-2 - (-3255)\/(-12))?\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 23.85. Let c = o + 0.35. What is the closest to 1 in 0.3, 2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*v = -463 - 47 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b + 32 = 17*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, f: 2, c: 4, t: 1, o: 3, a: 2}. Give prob of picking 1 c, 1 t, and 2 a.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 39 (base 14) to base 9\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -43\/4, -9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 79*d**5\/4 - 749*d**4\/8 - 1266*d**2. Find the second derivative of g(m) wrt m.\nAnswer: 2370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15.5 from 46735053.\nAnswer: 46735037.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -n**4\/24 + 191*n**2. Let k(p) = 7*p - 13. Give k(v(r)).\nAnswer: -7*r - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c = -2916*k + 2921*k - 351, -3*c + 42 = -2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 544102516 to the power of 1\/2, to the nearest integer?\nAnswer: 23326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4218 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4.23. Let s = k + -0.213. What is s rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -3*n + 3*n - 2*n**2. Let w(c) be the first derivative of -13 + 0*c**2 + 0*c + 8\/3*c**3. Calculate s(w(b)).\nAnswer: -128*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -31.\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 2*o + 2908, -2684 - 3162 = -4*j - 2*o. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3))\/((-13)\/((-273)\/14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + -6 - (-5 - 6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/57 and 52\/37031?\nAnswer: 111093","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 + 2. Let o be f(-5). Let x = 250 + o. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.51 + 0.09. Let t = -356298.39832 - -356310. Let m = f - t. What is m rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 25*f**3 - 32 + (2*f**2 + f**2 + f**2)*(-6 + 6 + 2*f) - f**3 - 2*f**2 + 2*f**2 to d*f**2 + r*f + a*f**3 + y and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 6*k**2 - 7748*k - 38620. Determine g(-5).\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-2))\/((-6)\/((-432)\/30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 8 = 2*a. Let r = a - -1. Is r\/4*-10*8 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + -16 - (8 + 5 + -34 + -44)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.744644556 take away 874?\nAnswer: -874.744644556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 235, 311, 459, 703, 1067, 1575, 2251?\nAnswer: 3119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 11:10 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 40. Suppose 7*j - x = 69. What is the lowest common multiple of 2\/(2\/(-1)) + 8 and j?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, 0.5, -3\/2, 0.3, 4 in ascending order.\nAnswer: -3\/2, 0.3, 0.5, 4, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 15 = -w. Suppose l = -3, l + 0 - w = -4*c. Calculate the common denominator of -111\/10 and (-186)\/(-27)*c\/4.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + 14286*u - 85638. What is p(6)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-258)\/(-24))\/43*1\/2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -15*1\/6*2. Let u(t) = -t**3 - 4*t**2 + 3*t - 5. Let p be u(l). Let i(d) = 6*d - 46. Let n be i(7). Put -2, p, n in ascending order.\nAnswer: n, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 + -0.55. Let n = -0.007 + 20.007. Let t = n + -20.1. Which is the closest to 0? (a) -2\/3 (b) p (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 18\/1307 (b) -9 (c) 0.2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 25*v**2 - 2*v - 2. What is f(-1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g**2 + g**2 - g**2 + 5*g**2. Let y(p) = 12*p. What is w(y(l))?\nAnswer: 288*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 405 - 416. Let j(b) = b**3 + 13*b**2 + 23*b + 5. Give j(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -4 + 2 + 119. Let s = -12 - -545. Let j = s - o. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of a**7\/210 - 7*a**6\/90 + 8*a**5\/15 - 2*a**4 - 71*a**3 - 148. Let d(i) be the third derivative of c(i). Solve d(l) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vavaaavvavvvaaaavvv. What is prob of sequence av?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4\/7 (b) 1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbb when three letters picked without replacement from {n: 10, b: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a - 7*a + 4*a + 8. Let d be z(0). Does 16 divide (-78)\/d*(-4 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-5) + (-14)\/(-10). Let p(a) be the third derivative of 17*a**5\/60 - a**3\/6 - 651*a**2. Calculate p(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.4 and -5534200 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3150 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, 139, 2, -5, 14, 1 in ascending order.\nAnswer: -5, 1, 2, 3, 9, 14, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9528762 minutes to hours.\nAnswer: 0.01588127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 85004, 85028, 85054, 85082, 85112, 85144?\n\"Answer: k**2 + 21*k + 84982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2698699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -24, -35, -44?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/88 and 3\/136.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41.85 - -41.85006842. Round o to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 65.9427 micrometers?\nAnswer: 65942.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91.61359 millilitres to litres.\nAnswer: 0.09161359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -3, 7.\nAnswer: -36, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26.6 - 0.4. Let t = -492571 + 492544.0029. Let q = l - t. What is q rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1096.2522 + 0.2522. Let a = 1097.154 + v. Let n = -0.034 + a. What is n rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/7 and -4\/1035?\nAnswer: 7245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*s + 30*s + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 + 3)\/(-1 + 2). Let f(g) = 4*g**2 - 40*g + 84. Let t(b) = -b**2 + 10*b - 21. Let q(c) = 2*f(c) + 9*t(c). Let z(x) = 2*x - 4. What is p*z(w) - 2*q(w)?\nAnswer: 2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - 0) + (-234)\/(-9). Let u(o) = o**3 - 11*o**2 + 12*o - 16. Let n be u(10). Solve 0 = n*z - 3*h - 1 + 20, -2*z + 5*h - a = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k + 2*o = -30*k + 5, -4*o - 3 = -3*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 21926 = -6*p. Let a = p - -20754. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 163?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 - 10001?\nAnswer: -1100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-197)\/1023 - (-28)\/154. Let g(u) = -3*u**2 + 10*u. Let w be g(3). Which is the smallest value? (a) w (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 414, 406, 398?\n\"Answer: -8*o + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, -1\/3, 0.451, 23?\nAnswer: 0.451","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1a2a (base 15) to base 9\nAnswer: -7684","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n + 34 = -98 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - ((-2)\/(-9) - 1808\/36). Differentiate -33 - 6 - 14 - f*i + 13 with respect to i.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -3*k**4\/20 + 2*k**3 - 33*k**2\/10 - 42*k - 2038. Factor d(o).\nAnswer: -3*(o - 7)*(o - 5)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05151369 to five decimal places.\nAnswer: -0.05151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.355 - -1.155. Let w be ((-1)\/22)\/((-2)\/(-8)). Let c = -251 - -248. What is the fourth smallest value in 2\/3, c, u, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.3721 - 3.3721. What is the closest to -1\/2 in -4.8, 5, y?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47845 by -1.\nAnswer: 47845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 - -138. Let h be 3\/(n\/60)*(-63)\/(-18). Let k(t) = -t**2 + 11*t - 10. What is k(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157883 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 2*a**2)*(1 - 1 + 2*a) + 129801 + 15073*a**3 - 259657 + 129856 as x + p*a**3 + y*a**2 + t*a and give p.\nAnswer: 15077","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 48*q**2 - 3*q + 3. What is the hundreds digit of m(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 - 10*q + 11*q)*(-6*q + 9*q - 4*q - q**3) + 7*q**4 + 0*q + 0*q.\nAnswer: 6*q**4 + 2*q**3 - q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/14 - (-38)\/20. Let o(m) = -m**3 + 4*m**2 - 2*m - 2. Let t be o(2). Let g = 0.7 + -0.3. Which is the nearest to f? (a) t (b) -0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*q + 40 = 0, q + 51 = 4*g + 13. Let o be 6*(-3)\/(-45) - (-176)\/g. Which is greater: 17 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l + 38. Determine v(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 3:39 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from {s: 5, f: 3, p: 1, z: 6}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 15, 82, 245, 552, 1051, 1790, 2817?\n\"Answer: 8*s**3 + 11*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 439794 by -954.\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.17452? (a) -0.3 (b) 0 (c) 1\/11 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -9. Let h be (9 - 0)*3\/r. Let j be (10\/7 - 0) + -1. Which is the third biggest value? (a) j (b) h (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**6 - 13*b**5 + 660*b**4 + 29760*b**2.\nAnswer: 240*b**3 - 780*b**2 + 15840*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, i: 2, c: 12}. Give prob of sequence ikic.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5872*k**3 + 3*k**2 + 461*k + 2.\nAnswer: 35232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2529 - 1449. Is m a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -39 - 58 - 39 + 281*i + 118. What is the hundreds digit of m(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 137760.\nAnswer: 137759.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 288273 and 0.4.\nAnswer: 115309.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 740154409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 + 243*c**3 - 2*c**2.\nAnswer: 243*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 4 = -5*x. Let q(k) = x + 4*k**2 - 5 + 0*k**2. Let f be (-4)\/8 + (-7)\/14. Calculate q(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 3 + -5)\/10. Let v = -3 - -2. Which is bigger: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(5*a + 5*a - 8*a) + a + 2 - 2.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 143053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*u**4 + 376*u + 81555?\nAnswer: -132*u**3 + 376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21281277 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -1\/2, 2\/7, -2\/3, 2\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 184796456 a multiple of 1333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1914)\/(37 + -8) - ((-3)\/(-6) + 84\/(-8)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -125 and -125 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 5*h**2\/2 + 100*h - 146. Calculate the lowest common multiple of 5 and o(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*k + 875 + 4429 = 377*k for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 51 (c) 3 (d) -5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**3 + 10*v**2 + v - 6. Let w(a) = -a**3 + a**2 - 1. What is p(u) - 6*w(u)?\nAnswer: 2*u**3 + 4*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 11:23 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100*n**5 + 1008*n**4 - 4*n**2 + 4163029*n wrt n.\nAnswer: 2000*n**3 + 12096*n**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12.3 times -97396\nAnswer: -1197970.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a decade in years?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**7\/2520 - d**5\/120 - d**4\/8 + 3*d**2. Let v(i) be the second derivative of u(i). Find the first derivative of v(f) wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 3*l + 12 = 2*o, -1 = -o - l. Suppose 3*z = -4*p + 1, o - 2 = -2*p - 3*z. Suppose 2*w + 2 = w. Sort p, w, 2 in decreasing order.\nAnswer: 2, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*4\/8*-2 - -3. Suppose -10880 = -n*i - 5*q + 1091, -i + 3009 = -2*q. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6044406142.\nAnswer: 2, 29, 47, 2217317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 69209*p + 45. Let g be w(-5). What is g rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2400 - 2417. Let j(m) = 7*m + 118. Give j(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 - t**2)*(-t**2 - 4*t**2 + 4*t**2)*(-2*t + 0 + 0).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 339\/((-5)\/((-3450)\/45)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3009 divided by 58\nAnswer: 3009\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -5*k + 26, k = 4*v + 3*k - 6. Which is the second smallest value? (a) v (b) -0.3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*((l*l**(-4\/11)*l)\/l)\/l)**(3\/19)*l**(1\/3)\/(l\/l**20) assuming l is positive.\nAnswer: l**(12185\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20250458 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -309379*d**4 - 213477 wrt d.\nAnswer: -1237516*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 126740464 divided by -24944?\nAnswer: -5081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521 + 531 = 5*m. Suppose -m*q - 3533635 = -4*i + 6126377, -5*q - 24150015 = -5*i. Round q to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 0, 56, -4, -1392 in increasing order.\nAnswer: -1392, -4, 0, 13, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14.2 + -1.2. Let h = z + -17. Let b = h - -3.99977. What is b rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1035004112?\nAnswer: 1035004115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/3175144 and 29\/124?\nAnswer: 3175144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*h**2 + 72*h**2 - 27*h**2 + 79*h**2 - 163*h**2.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -17) + -22 + 69 + -10 + 25 + -9\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + p + 0 = 33, -24 = -3*d - 4*p. Suppose 0*b = -3*b - d, -4*c - 4*b - 12 = 0. What are the prime factors of -3 - (15*-1 + c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80)\/8)\/((-4)\/1)*(-74)\/20*4.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d - 5. Suppose 0 = -3*j + 5*p - d, 0*j - 6 = -2*j + p. Let r = j - 0. Solve -6 = -r*n + 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18377393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebb. Give prob of sequence eb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 36. Let l be 51\/j + -3 - 0. Let n = 0 + -2. Put -0.5, n, l in decreasing order.\nAnswer: l, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191 - -194. Let m = 0 + -6. Put -3, c, m, -2 in ascending order.\nAnswer: m, -3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-35)*(-835800)\/(-12736)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -1 + -5 - 1) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 28 + 18. Calculate the remainder when v is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, -2, -23174, -41 in increasing order.\nAnswer: -23174, -41, -2, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810695 - 335326 - 2960957 + 4112710*g - 5734*g**2 - 17*g**3 - 11*g**3 + 30*g**3 = 0. Calculate g.\nAnswer: 1, 1433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**3\/2 + 12*j - 11. Let p(m) be the first derivative of o(m). Let f(h) = -3 - 3*h - 10 + 13. Calculate p(f(g)).\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -28922*w + 45. Let v(m) = -14461*m + 23. Let c(i) = -6*r(i) + 11*v(i). Let q be c(-3). What is q rounded to the nearest 1000?\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f**2 + 28*f + 496. Calculate b(-10).\nAnswer: 1316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*x**2 + 117*x**2 - 32*x**2 - 27*x**2 - 38*x**2.\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7)*-1*-3 + 2*sqrt(847) + sqrt(847) + -1*(sqrt(7) + -2)*-1))**2*6*1.\nAnswer: -31968*sqrt(7) + 2070792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -37034 divided by 1271\nAnswer: -37034\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -148678*n**4*p - 12*n**4 + 2*n**2*p + n**2 - 106*n*p + 3*n + 94*p wrt n.\nAnswer: -3568272*n*p - 288*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50232 and 5704?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1585 = 8*h - 311. Round h to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -9, -3*p - 4*j = -0*j - 42. Suppose -x - 4*z = -2*x - 3, -3*z = -6. What is the highest common divisor of p and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 15*y + 2. Let t be g(-5). Suppose 4*n = 5*c - 18, -3*c = -0*n - t*n - 12. Solve -3 = 2*h + c*l - l, -h - 3*l = 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*c = -l + 203*c - 3, -5*l + 53 = -2*c. Solve 0 = l*s - 1 + 37 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -303 from 75.\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26214, -26217, -26222, -26229?\nAnswer: -26238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76843 and 26?\nAnswer: 153686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 515.\nAnswer: 3605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5*f = 18, -4*f - 7 = -3*w - 8. Sort w, 2, 6 in ascending order.\nAnswer: w, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -678 divided by 2?\nAnswer: -339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/8)\/((-15)\/8). Which is greater: 2\/7 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/115 - 216\/805. Let i = 16 + -16. What is the nearest to i in 1\/6, r, 0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7353 - 7353.0000009167. Round f to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(sqrt(119) - 1*sqrt(119))*1)\/((-2*sqrt(112) - sqrt(112))*3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 49, 111, 173, 235?\n\"Answer: 62*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0325 from 36406.\nAnswer: 36405.9675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2197*q - 4*t + 292 = -2175*q, 5*t = -q - 6 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 - -35. List the prime factors of (2\/a)\/((-14)\/6104).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 9360, 9315, 9270, 9225, 9180, 9135?\n\"Answer: -45*l + 9405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**3 - 11*h**3 - 8*h**3 + (4*h + 3*h - 6*h)*(3*h**2 + 4*h**2 - h**2) - h**3 - 3 + 3 in the form r*h + v + i*h**3 + c*h**2 and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 PM and 1:32 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117221.\nAnswer: 13, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + 11. What is the least common multiple of 190 and x?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -129*d**2*y**3 + 32*d**2 - d + 2*y**3 - 6*y wrt y?\nAnswer: -774*d**2*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*n**2 - 137*n + 137*n in the form u + j*n + i*n**2 and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/20)\/(27\/(-90)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 79952399.7 to the nearest ten thousand.\nAnswer: 79950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 68711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9905042327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 744 = 5*x, 0*x - x + 509 = 2*q. Suppose 6*g = 23 + q. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4592, 9187, 13782, 18377?\nAnswer: 22972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127315?\nAnswer: 5, 25463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-15)\/(-18))*-10. Let f(j) be the third derivative of j**6\/120 - j**5\/5 - j**4\/12 + 5*j**3\/2 + 22*j**2. Let m be f(c). Are -8 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 819*y - 63 = -820*y, 294 = -5*s + 2*y. What is the nearest to -0.1 in 1\/8, s, -2\/3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 729*q**3 - 812 wrt q?\nAnswer: 2187*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1797 + 1805. Let p(f) be the third derivative of 1\/8*f**4 + 0*f**3 - o*f**2 + 0 + 0*f. Let q(x) = -4*x**2. Give p(q(i)).\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s - 5*g - 3 = 0, -9 = 4*s + 5*g. Let d be (3 + 2 - 5) + s. List the prime factors of (-73 - -2)*d - 4.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 2 + 18*i**2.\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -7*z**4 + 5*z**2 + 2365*z + 11210. Differentiate j(t) wrt t.\nAnswer: -84*t**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**3 - 4*d**3 - 2*d**4 - 3*d**4 + 9*d**2 - 9*d**2 - d**4 + 4*d**4 - 5*d**4 + (-d + 0 + 0)*(-d**3 - d**3 + 3*d**3) + 4*d**4 - 4*d**4 - d**4.\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -178. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*u**2 - 487*u**2 + 63 + 213*u**2.\nAnswer: -2*u**2 + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 - 612\/5. Which is the third biggest value? (a) 0.1 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*m*v*w**4 + 11*m*w**4 + 25*m - 4*v*w + w**2 wrt w.\nAnswer: -48*m*v*w + 264*m*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:00 AM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, -1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnjpnnqqrqpqnr. Give prob of picking 1 n and 1 j.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27856 is divided by 506?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00017412696 rounded to 7 decimal places?\nAnswer: 0.0001741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -124*x**3 - 9*x**2 - 12*x - 2. Let k(z) = -z**3 + 8*z**2 + 10*z - 120. Let g be k(7). Calculate the remainder when q(g) is divided by 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*r = -106*r - 279013. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 32527\/360 and 91 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dmmmmmemzmmmme. What is prob of sequence ez?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 12841*y + 320980. What is g(-25)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 205942 times 0.4\nAnswer: 82376.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h + 12*h**4 + 3 - 6*h**3 + 2 + 10*h. Let u(g) = -12*g**4 + 7*g**3 - 7*g - 4. Let j(l) = -7*r(l) - 6*u(l). What is the derivative of j(d) wrt d?\nAnswer: -48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2123 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**2 - 3*y**2 - 121*y**3 - 7 - 16*y**2 + 122*y**3. What is j(21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 8:16 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/4274 and 15\/22.\nAnswer: 47014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.65712 centimeters to millimeters.\nAnswer: 696.5712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.2 (b) -2 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 48 = 3*r, m - 9 = 5*r + 5. Let q be ((-1)\/(-4))\/(m\/(-33)). Let x = -0.19413 - -0.17413. What is the nearest to x in q, 4\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -409 by 123.\nAnswer: -409\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 1108*o - 1105*o + 10, 4*q = -3*o - 50 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 - 4*v - 4. Let b(u) = -u - 1. Let d = 6 - 7. Let o(t) = d*z(t) + 4*b(t). Let p(x) = 3*x. What is o(p(y))?\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 4 - 7 + 4)*(-4 - 2 + 1).\nAnswer: -5*s - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 19*z. Let w(l) = -33*l. Let s(a) = -7*o(a) - 4*w(a). Let p(c) be the second derivative of 5*c**3 - c. Determine s(p(y)).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17770 and 240?\nAnswer: 426480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374, 353, 332, 311, 290, 269?\nAnswer: 248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96290366?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide -14133*2\/(-18) + 6\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 785.4825 millimeters in nanometers?\nAnswer: 785482500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + a = -1482 + 275, 5*j - 1510 = a. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 1.9\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(720) + -2*sqrt(720)))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20031021 (base 4) to base 7.\nAnswer: -166662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 309, 2214, 7529, 18006, 35397, 61454, 97929?\nAnswer: 146574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - c - 2 - 9)*(-2*c + 4*c**2 + 8*c + 6*c + 1).\nAnswer: -4*c**3 - 48*c**2 - 109*c - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 2, i: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5393*w + 2106*w + 64*w.\nAnswer: 7563*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2773, 4223, 11227, 18245, 25283, 32347, 39443, 46577?\nAnswer: 53755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -50.4, 1, -0.5, -136?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 3*z + 3*z)*(-4 + 0 + 2)*(12*z - 22*z + 9*z)*(1 - 1 + 3*z**2).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -26009.89 to the nearest ten.\nAnswer: -26010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -3. Let g = 174 + -173.5. What is the third smallest value in g, t, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 + 587921?\nAnswer: 587959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**8\/1680 + o**4\/8 - o**3\/3 + o. Let p(x) be the second derivative of q(x). Differentiate p(k) with respect to k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014074336 to 6 dps.\nAnswer: 0.001407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fnffiinivi. Give prob of picking 1 n, 2 f, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89337.38 days in milliseconds?\nAnswer: 7718749632000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1985 - -1984.91. Which is the fourth smallest value? (a) -0.4 (b) -6 (c) u (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8931622t in grams?\nAnswer: 893162.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90660305.\nAnswer: 5, 19, 954319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115829895*g**3 - 82801*g - 2 wrt g.\nAnswer: 694979370*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/51 or -0.014?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 230 + -6899\/30. Let r(a) be the third derivative of -t*a**5 + 0*a - a**2 - 1\/12*a**4 + 0*a**3 + 0. Suppose r(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - u = 20, 3*u = -0*x + 4*x + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -387.9457 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 8:54 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x**2. Let q(j) be the third derivative of -j**4\/6 + 9*j**2. Determine c(q(f)).\nAnswer: -32*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from huugyugheeuugu. Give prob of sequence geeh.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64785 + 92283. Suppose -10*i = -4*i - v. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 6:44 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence md when two letters picked without replacement from ddmdmdd?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 0*l + l - 3*l - 2*l - 24 + 5*l. Let m(h) = h**2 + 0*h**2 + h**2. Calculate m(k(p)).\nAnswer: 2*p**2 - 96*p + 1152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4082 greater than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123\/238 - -3\/34. Which is the closest to 1? (a) -0.17 (b) -2\/17 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/34 (b) -4\/7 (c) -59.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201102 (base 3) to base 12.\nAnswer: -885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -898 + 906 = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*v - 25. Let h = v + -8. Is -2\/15 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 - 37*f - 332. Let n be u(-21). Solve n*t + 9*j = 4*j - 17, 2*t + 5*j + 21 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(7\/2)\/(j*(j\/(j\/j**0))\/j*j))**(-4)\/((j**(3\/2)*j*j*j\/(j\/(j*j\/(j**8\/j)*j)))\/(j**(-2\/3))**(-36)) assuming j is positive.\nAnswer: j**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.060312 + -0.060269709. Round n to seven dps.\nAnswer: 0.0000423","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 188 = -5*u. Suppose 5*c + 4*i - u = -7, 4*i - 16 = -c. Find the second derivative of n**c - 5*n + 3*n - 3*n + 5*n**4 wrt n.\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from {d: 2, w: 1, p: 1, z: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181141?\nAnswer: 181141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/6)\/(14\/21). Let y be -3 + 1 + (-7)\/(-4). Which is the nearest to y? (a) -0.2 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 13*l + 53. Let w be x(-11). Suppose 28 = 3*b + w. Which is bigger: 2\/99 or b?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 0*b + 0 + 4\/3*b**3 - 1\/60*b**5 - 5\/12*b**4 + 3*b**2. Let w be m(-9). Solve 3*u + 5*x = -w, 0 = -u - 2*x - x - 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 126, 145, 166, 189, 214?\n\"Answer: w**2 + 16*w + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2344678070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-568)\/40 - -14 - (-2)\/35\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -11 + (-15 - -20) + -10 + 1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-31)\/7 - ((-578)\/(-119))\/(-17). Is u not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279106567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006543227 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6*k*k**(17\/6)*k*k*k assuming k is positive.\nAnswer: k**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-80)\/(-1000)*20\/36. What is the third biggest value in 0.1, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1296661, 2593318, 3889975, 5186632, 6483289, 7779946?\nAnswer: 9076603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -275620 to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62504.8715 rounded to the nearest 100?\nAnswer: 62500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 242 - -491. List the prime factors of a.\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -55, -72, -99, -142, -207, -300, -427, -594?\n\"Answer: -z**3 + z**2 - 13*z - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/10*1*(-10)\/(-35). Let -k*a + 36\/7*a**2 - 6\/7 - 3*a**3 = 0. Calculate a.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -27 + (-27 - -29) + -13?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -307, -462, -617, -772, -927?\nAnswer: -1082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -51388?\nAnswer: -51388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-69 - -67) + -1 + 1 - (25 - 25 - -29)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000608474515 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 72635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.1. Let p = 0 - 21. Let z = 17 + p. Sort z, 5, d in descending order.\nAnswer: 5, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) -3 (c) -1 (d) -452 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -76, -206, -320, -412, -476, -506?\n\"Answer: c**3 + 2*c**2 - 143*c + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.6658 to the nearest integer.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7*p - 301 = -5*y, 0 = 2*p - 4. List the prime factors of y.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.8 (b) -0.5 (c) 0 (d) -3\/40 (e) -11\/4 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2797*b*g**2 + 2*b + g**2 - 1288*g - 1 wrt g.\nAnswer: -5594*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -48 + 17*a + 106 - 46 + a**3 - 18 - 25 - 17*a**2. Give b(16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-133)\/57)\/(2\/(-18))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -77256 (b) -14 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 6, -4 = -v - x + 2*x. Suppose v*j + 5*k - 474 = 109, 0 = -3*j + 5*k + 912. Is 23 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 41*a - 46*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tto when three letters picked without replacement from {t: 9, k: 2, o: 2}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**3*f - c**3 - 5*c**2*f + 128822*c**2 - c*f - 6*c - 33*f - 6587 wrt c?\nAnswer: 18*c*f - 6*c - 10*f + 257644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.4857 + -0.5143. Put 1\/3, i, 4, 3 in decreasing order.\nAnswer: 4, 3, 1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from veveveeevv?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 185, -4, 2\/7, 4, 100, -2\/15 in increasing order.\nAnswer: -4, -2\/15, 2\/7, 4, 100, 185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112*k**5\/5 + 88*k**4\/5 + 23*k**3\/5 + 2*k**2\/5.\nAnswer: k**2*(4*k + 1)**2*(7*k + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 593*b - 493*b - 2100 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmm. What is prob of picking 4 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from usyusuywwsdyywy?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 16) in base 10?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1359 + 1362. What is the nearest to -44 in m, -2\/9, -2\/11, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -3\/8*r**4 - 34*r - 21*r**2 + 0 + 0*r**3 + 1\/20*r**5. Let g(s) be the first derivative of n(s). Factor g(u).\nAnswer: 3*u*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1639*y**3 + y**2 + 40*y + 3267*y**3 - 1632*y**3 as n*y + w*y**3 + t + x*y**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbrjruzujrzjrujzuuz. What is prob of picking 1 u and 2 r?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75540.6 - -75541. Let v be 8\/44 + (-37)\/22. What is the closest to -1 in 0.5, v, 7, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2170963?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-2*sqrt(8)*1)\/(sqrt(48)\/sqrt(192)))**2*6.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/2772 + (-6474)\/(-231)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19447?\nAnswer: 19447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - 35. Calculate c(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 - 2*v**2 + 6*v - 3. Let o(g) = 5*g**3 + 5*g**2 - 13*g + 7. Let b(y) = 7*c(y) + 4*o(y). Let i be b(5). Let t = i + 97. Does 14 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -160, -382, -698, -1108, -1612, -2210?\nAnswer: -2902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1367 + -6834\/5. Which is the second biggest value? (a) h (b) -2\/23 (c) 0 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150271 - 89064. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 18 = -3*v, 3*m - v = 4*v + 1. Let a(g) = -6*g - 4. What is a(m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 - 4. Let j be y(-2). Let o = 0 + j. Solve -o*f - 2*a + 4 = 0, -5*f - 1 = -5*a + 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18337220 by -5.\nAnswer: 3667444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215234396.\nAnswer: 2, 13, 89, 46507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6916786 divided by -3458393?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + 95 + -3 + 5 + 6 + 6 + -10.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cscssanssrrc. Give prob of sequence ranr.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025814028 rounded to 5 dps?\nAnswer: 0.02581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 210784 and 24898860.\nAnswer: 199190880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 - 281*f**2 - 18809*f - 172. Calculate l(190).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*q + m + 4*m = -9, -4*q - 64*m - 3 = -63*m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*h - 4, -11 - 9 = -5*a - h. Let u = a + -3. Suppose t - 18 = -u. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1.4185037.\nAnswer: -2.8370074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 712328.\nAnswer: 3\/712328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16593154 and -0.1.\nAnswer: 16593153.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, t: 2, h: 6, q: 6, r: 1}. Give prob of picking 1 t and 1 r.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.967165um?\nAnswer: 0.000000000967165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**4 + 2*n**3 + n - 1. Let b(i) = 1784*i**4 + 9*i**3 - 204*i**2 + 4*i - 5. Let s(a) = -b(a) + 5*o(a). What is the third derivative of s(x) wrt x?\nAnswer: -42696*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24.36? (a) -1 (b) 24 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 10 = 2*h, -2*h + 16 = 3*l - 2. Let g = -30 - -13. What is the remainder when (-6)\/15 + g\/(-5) is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**4\/4 - 7*m**3\/3 - 5*m**2\/2 + 7*m - 2. Let v be k(-6). Find the common denominator of -63\/20 and v\/(-5)*(-3390)\/(-84).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 344376990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 5*n**2 + 2*n. Let r be m(-4). Let h be (-3)\/(1 - -2) - -25. Let p be h\/(-3)*1*-8. What is the highest common factor of p and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*y + 3*y + 0*y)*(3 + 3 - 4) + (y + 2*y - 5*y)*(-1 - 2 - 3) as n + w*y and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(567)*2))\/(-2*sqrt(216)*2) + -1.\nAnswer: -1 - sqrt(5)\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/72 and -47\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 9:33 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -29770 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -1 + -6)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3669594679 to the nearest integer?\nAnswer: 60577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - 2*r - 4*r)*(-2*r + 2 - 2) - 3*r**2 + 4*r**2 - 4*r**2 + (0*r + 0*r + r)*(2*r + 0*r + 0*r) + 3*r**2 + 1 - 1 + r**2 + r**2 - 5*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 783 and 27?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 68*w**2 + 95*w + 625. List the prime factors of x(-8).\nAnswer: 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 3*h**2 + 243*h + 243.\nAnswer: -3*(h - 9)*(h + 1)*(h + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*353838.\nAnswer: -353838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -38*k**2 - 2434*k - 2406. Let q(b) = -11*b**2 - 811*b - 803. Let y(t) = -10*q(t) + 3*r(t). Suppose y(u) = 0. Calculate u.\nAnswer: -1, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2. Let h(v) = -1 - 13 + 5 + 113*v + 8 + 31*v. Give h(d(j)).\nAnswer: -144*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -412 + 413. Suppose 1 = s - o. Solve -5*a - y - 18 = 0, 0*y - s = 3*a + 5*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = 2. Let w be (1 - -2 - 33)\/d. Suppose -2*m - m + w = 0. Solve 2*u + 9 = m*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/(i\/i**(7\/6))))*i*i**(2\/49)*i)\/((i\/i**(-17)*i)\/i**(1\/17)) assuming i is positive.\nAnswer: i**(-78637\/4998)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23503974 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 35*f**3 - 2*f**2 + 2*f - 38. What is b(0)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.7 + -3.2. Suppose g - 6*g = -15. Let d be 3\/(-8)*8\/(-30). Sort d, g, o in ascending order.\nAnswer: o, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 534 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 223.9 + -224. Let d = -36 + 57. Put 0.1, j, d, 3 in ascending order.\nAnswer: j, 0.1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 2388*x - 33632. Give y(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.428 + -0.572. Sort 6, g, 0.03.\nAnswer: g, 0.03, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 208*k**3 - 3084*k**2 + 5328*k.\nAnswer: k*(k - 12)*(k - 2)*(k + 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**2 - 4. Let t(r) = 14*r**2 + 7. Let k(l) = 4*t(l) + 7*u(l). Let d(v) = v. What is d(k(x))?\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129\/(-195) + 62 + (-52800)\/858.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**5\/7 - 12377*i**4\/7 + 37125*i**3\/7 - 37123*i**2\/7 + 12374*i\/7 = 0. What is i?\nAnswer: 0, 1, 12374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4365862 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18*(12141\/133)\/(-71). Factor -j*q**4 + 0 - 6\/7*q + 2\/7*q**2 + 6\/7*q**3.\nAnswer: -2*q*(q - 3)*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-1)*8\/(-12). Let x(k) = 2*k - 4 - 1 + u. Suppose 14 = 5*v + 4. Give x(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15041352 rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422 + 469 = 33*r. What is the lowest common multiple of r and 291?\nAnswer: 2619","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -222*s - 11440 + 2697 - 4799 for s.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*r = 350 - 26 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177391, -354915, -532439, -709963, -887487?\nAnswer: -1065011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44.26 - 43.26. Sort 0.2, z, -21\/19 in ascending order.\nAnswer: -21\/19, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 714276 is divided by 3417?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 17 = 5*g. Let v(s) = 9*s - 11 + g*s - 6*s + 3*s. What is the tens digit of v(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*c + 45, -290*a + 602*c - 606*c + 894 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -217060.\nAnswer: 19\/108530","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 802943633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-10)*(16\/(-22))\/(-4).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 1?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14571, 29139, 43707, 58275?\nAnswer: 72843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (41531\/34)\/(7\/14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63621 is divided by 1327.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 1\/24*c**5 + 1\/4*c**4 + 1\/360*c**6 + 0*c**2 + 1\/3*c**3 - 2 + 0*c. Let v(g) be the third derivative of m(g). Give v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2776 equal to -2775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 2122*j - 4243*j - 3*j**3 + 2122*j - 7*j**3 to t*j**2 + h*j + m*j**3 + y and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 42*f + 10 = -38*f, -f + 1 = u. Suppose -36 - 36 = -u*x. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-one quarters of a millennium?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 4. Let h(x) = -x**2 - 12*x - 19. Let f be h(-10). Let g be n(f). Suppose v - s + 5*s = 159, 0 = -4*v + g*s + 579. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (-6*(0 + sqrt(612)))**2 + 2 + (sqrt(1377)*2)**2).\nAnswer: 110152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.05 - -0.03. Let q = 0.029 + -0.209. Let z = q + s. What is the nearest to 1\/3 in z, -3, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*c + 10*c - 2*c**2 - 2*c + 5 wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 402068265 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -214412 (base 11) to base 9\nAnswer: -571816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8608 divided by -5\nAnswer: 8608\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -3*g**8\/28 + g**4\/6 - g - 7. Let x(a) be the first derivative of t(a). Find the third derivative of x(i) wrt i.\nAnswer: -720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 2. Let x be o(4). Let y(g) = -g - 12. Let v be y(-19). Let j = v - x. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 244\/5 - 1469\/30. Which is the nearest to 2\/9? (a) 0.3 (b) 2 (c) 0.8 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2340.53 + 30.47. Let r = k - 2352.97. What is r rounded to 0 decimal places?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28930794.6 to the nearest 1000.\nAnswer: 28931000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from npoap?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -210121202210 (base 3) to base 11\nAnswer: -270810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*l - n, -8 = 222*l - 477*l + 253*l + 2*n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4140542 divided by 295753.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*l + 0*l**3 - 4*l + 2*l**2 - l**3 to f*l + j*l**3 + v*l**2 + p and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 3\/4, -37\/7 in decreasing order.\nAnswer: 3\/4, -1\/4, -37\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*p = 204057545 - 204055970 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185000, 370005, 555010?\nAnswer: 740015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**2 + 1. Let l(h) = -7*h**3 - 7*h**2 - h. Let q(i) = -6*i**3 - 6*i**2 - i. Let c(o) = -5*l(o) + 6*q(o). Let b be c(-1). Determine j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**3 + 61404*s**2 + 49119*s - 12280 = 0.\nAnswer: -12280, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 - 27.3. Let d = 61104 + -61107. Which is the second biggest value? (a) -1\/4 (b) d (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2 + 4541*v - 86640.\nAnswer: (v - 19)*(v + 4560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + v + 0*v + 4*v - v - v + v + 2*v - 2*v + (-1 + 1 - 5)*(6*v - 4*v + 0*v) + 10*v + 58 - 58.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 683, 1378, 2093, 2840, 3631, 4478, 5393?\n\"Answer: 2*f**3 - 2*f**2 + 687*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let a be b(-6). Let y = 2624\/77 - 208\/7. What is the common denominator of (-870)\/72 - 4\/a and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -39364, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71054813*c**4 + 52569022*c?\nAnswer: 852657756*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -96 + 91. What is the remainder when (-246)\/(-15) + 0 + (-3)\/v is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16270475 + -122?\nAnswer: 16270353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -100000001010011 (base 2) to base 6\nAnswer: -204123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 11, 11, 7, -1, -13?\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/2)*p**(10\/3)*p\/(p*p**(-17)*p*p*p)*p**(-5\/7) assuming p is positive.\nAnswer: p**(677\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(12)\/sqrt(4)*-3)**2 - sqrt(480)\/sqrt(10)).\nAnswer: -81 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*c + 49 = -6*c, 4*t + 3*c - 30 = 0. Suppose t*d + 6 = 12*d. Solve -4*l = 5*k - 1, 0 = -4*l + d*l - k - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t + 9*t - 32*t**2.\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 51. Find the second derivative of -21*k**5 + 26*k + 5*k**5 - s*k**5 wrt k.\nAnswer: -640*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*g = 5 - 54, -p = -4*g + 41. Let z be p + -4*(-1 + 0). Let d = z + 65. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2594, 10351, 23266, 41333, 64546, 92899?\n\"Answer: -c**3 + 2585*c**2 + 9*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*sqrt(75)*2 + sqrt(75) - -4*(2 + sqrt(75))) + -5)**2.\nAnswer: 30*sqrt(3) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 - -62d5d4?\nAnswer: 62d61c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.8088575 to 2 dps.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000101754 to 6 decimal places.\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 146697.16 rounded to the nearest one hundred?\nAnswer: 146700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -37 + -89c85?\nAnswer: -89cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 3a3?\nAnswer: -3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 11. Solve 11 = v*c + 36 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-8)*(-24)\/9. What is the third derivative of 2*y**3 - p*y**3 + 0*y**2 - 4*y**2 + 17*y**5 wrt y?\nAnswer: 1020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**4\/4 - 12*m - 13. Let l(c) be the first derivative of k(c). Let r(n) = -n**2. Give l(r(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p + 15. Let s(u) = 15*u - 31. Give -5*l(w) - 2*s(w).\nAnswer: 5*w - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 589 divide 109890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/380 and -17\/60?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 4 - (-4)\/(-2). Let b = u - -5. Solve 2*x + b = 3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5342902\/3 or 1780966?\nAnswer: 1780966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 61337.3932 to the nearest 1000.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 10.94. Let t = -5.94 - p. What is the smallest value in t, 1, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(441))\/(-1*sqrt(27)\/sqrt(3)))\/(6*sqrt(2268)*-2).\nAnswer: sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3514 is divided by 1137?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/43 + 140\/387. Sort 2\/11, 0.6, a.\nAnswer: 2\/11, a, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 6. Suppose 4*a + 2*p - 230 = 0, -3*p - 118 = -k*a - p. Is 22 a factor of (-5 + 7)\/(4\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23235484 to the power of 1\/2, to the nearest integer?\nAnswer: 4820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i + 37 = 4*b, -432*b + 437*b = 2*i - 16 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 414)\/3 + (-3 - 0). Let q = 420 - i. Let r = q - 190. List the prime factors of r.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.27511623 to one decimal place.\nAnswer: 27.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-632 + 632 + 16*f)*(3*f - 2*f + 0*f)*(-2*f + 3*f**2 + 2*f).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i = -1625. Let r = -11 - -17. Suppose i = 5*h - 5*j, -5*j + 345 = -h + r*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9852465 by 2733.\nAnswer: -3605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a42 (base 15) to base 16.\nAnswer: -1637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 254, 393, 538, 689, 846, 1009?\nAnswer: 1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**3 + 4*t**3 + 4*t**4 + (-4*t + 3*t - t + (-t - 1 + 1)*(6 - 2 - 3) + 2*t + 0 + 0)*(-t**2 - t**3 + t**2).\nAnswer: 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5442 and 2742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1181147846, 2362295691, 3543443536?\n\"Answer: 1181147845*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -7, -4, 5639?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 158 = 2*o, 3*w - o = 4*o + 125. What is the remainder when w is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323576 (base 9) to base 8.\nAnswer: 570642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 733, 0.2, -135\/23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 0*x + 0*x**3 + 0*x**4 - 59*x**2 - 189 + 194\/5*x**5. Find the second derivative of w(g) wrt g.\nAnswer: 2328*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -704177 divided by -406?\nAnswer: 704177\/406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83341*l**3 + 166775*l**3 + 0*l - 83766*l**3 + 0*l.\nAnswer: -332*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 23953813 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 62, 128, 252, 452, 746, 1152, 1688?\nAnswer: 2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12136\/(-10320) + (5\/8)\/((7425\/420)\/33).\nAnswer: -2\/215","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2520.3228 to the nearest integer.\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2.5. Let n = -0.109 + -69.891. Let j = n + 69. Which is the nearest to j? (a) p (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*j + 111*j - 165*j - 3996 for j.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -1\/9, -1\/18, 4 in ascending order.\nAnswer: -6, -1, -1\/9, -1\/18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/((-1500)\/72))\/(33\/15)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*n - 40*n + 61021417. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15231 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 495218 times -8\nAnswer: -3961744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -807472, -1614950, -2422440, -3229948, -4037480, -4845042?\nAnswer: -5652640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526135*i + 368630*i + 90371*i + 153776*i.\nAnswer: 1138912*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 25*k - 954. What are the prime factors of h(63)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7*f - 10 = -2*f, -2*g = -2*f - 4. Let d be (-3 - -7) + 1 - (11 - 1). Put g, d, 5, -7 in increasing order.\nAnswer: -7, d, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -809 - -471. Let p = v - -674. What is the tens digit of p\/10 + (-2)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 1 = 0, -4*p + 4 - 1 = 5*b for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*i - 0*i - 7, -3*i = -4*f + 23. Suppose s + f*s = 30. What is the least common multiple of 25 and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 - 2727*o = 0. Calculate o.\nAnswer: -909, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11780880 and 3438?\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 15*o**2. Let i(g) be the first derivative of -2*g**3\/3 - 36. What is k(i(u))?\nAnswer: 60*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -99 in 0.12, 1, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49524 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 203 and -19979643.\nAnswer: -19979440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004121 to 4 dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -l - 2*q, -3*q = -4*l + q + 8. Sort 1, 3, l in ascending order.\nAnswer: l, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -152827*c - 2139548. Give w(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1257, 1252, 1245, 1236, 1225, 1212?\nAnswer: 1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**5 + 3*l**5 - 4*l**5)*(33 + 17 + 1) + 3*l**3 - 3*l**3 + 4*l**5.\nAnswer: 55*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -1. Let l = i - -22. Suppose 5*w - 4*v + 6 = 0, 11*w - 6*w + 8 = 2*v. Which is the second biggest value? (a) w (b) l (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*t - 11. Let u = -392 - -388. Let v = -0.45 - -0.55. Which is the nearest to v? (a) u (b) t (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0251507 to four dps.\nAnswer: -0.0252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 828 and 157596?\nAnswer: 472788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -505 - -283. Let w be l\/(-15) + (-2)\/(-10). Factor 6*r**4 + 12*r + 24*r**2 + 5*r**4 + w*r**3 - 8*r**4.\nAnswer: 3*r*(r + 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = t - 14, -2*t + h + 53 + 0 = 0. Suppose 0 = 3*s + 3*s - t. Suppose 5*g - 21 - 36 = b, 0 = -s*g - 4*b + 36. Is g greater than 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + -10.6. Let d = i + 10.91. Let q = d - -0.19. Which is the third smallest value? (a) 4 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304310 (base 6) in base 15?\nAnswer: -7306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001369 to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/7 + 1152*s**3\/7 - 10200*s**2 + 1174496*s\/7.\nAnswer: -2*s*(s - 508)*(s - 34)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/(-15) - 3)\/((-99)\/180).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 to the power of 1\/2, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.1, 89, -136, -0.4 in ascending order.\nAnswer: -136, -3, -0.4, 0.1, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62 and 175561.9.\nAnswer: -10884837.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(931)*-2.\nAnswer: 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqquuuqqqqq. What is prob of picking 2 u and 1 q?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.2 + -1. Let l = i + 0.8. Let w = l - 1.3. Are w and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqkvoll. What is prob of sequence qkvq?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 32 divided by 1\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 20 + 12 - 58 + 2*m + 19. Let y(r) = -r + 1. Give -j(i) - 3*y(i).\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/527027 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + -1d?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 + 7*g**4 + 2*g**3 + 2*g - 8*g**4 + g**2 to r + v*g**4 + k*g**2 + c*g**3 + y*g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9147 + 4053. Let m be c\/4 - 24\/(-16). Let j = -505 - m. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f*s - 46270*f + 1295*s**3 wrt s?\nAnswer: 2*f + 3885*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-22)\/55 - (-32)\/5 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**14\/h*(h*h**(-10))\/h)**38\/(h**(3\/2)*h**(-1)\/h)**(12\/13) assuming h is positive.\nAnswer: h**(1488\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1050 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18726, 38932, 59142, 79356, 99574, 119796?\nAnswer: 140022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 31612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 6:40 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000026729 rounded to six dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 963636 to the power of 1\/2, to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 122128 (base 9) to base 3\nAnswer: 10202010222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -5*o + 10. Let z(a) = a**3 + 22*a**2 + 21*a + 7. Let d be z(-21). Determine g(d).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -48*a - 4. Let n be u(4). Let v be ((-22)\/(-4))\/(4\/22 - 51\/306). Let p = v + n. List the prime factors of p.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59778 to the nearest one hundred.\nAnswer: -59800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.270685712532 + -3.\nAnswer: -3.270685712532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lng when three letters picked without replacement from {b: 1, n: 4, l: 3, g: 2, o: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 0 + (-6 - -2). Let c(t) = t**2 + 3*t + 6. Let z be c(m). Calculate the highest common divisor of z and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 - -5.11. Let w = -3.1 + -0.9. Let m = w + i. What is the closest to 4 in -2\/3, 0.2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-62)\/124 + -309*(-3)\/(-6). Sort -2, q, -3 in descending order.\nAnswer: -2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9672 - -2?\nAnswer: 9674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67884675*r - 67884675*r + 3*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.564726 smaller than -1.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 - 8*b - 9. Let v be s(-3). Solve -v*r - 14 = 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48, 61, 72, 81, 88, 93?\n\"Answer: -d**2 + 16*d + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*u - 127, -2*b + 2*u + u - 60 = 0. Let l = -40 + b. Let n = -38 - l. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/9)\/((44\/(-10))\/(-11)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 496.41 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 0 + 0 + 2 + 2 - t**2 - 6*t. Let l(z) = -2*z**2 - 11*z + 7. Let j(x) = 4*l(x) - 7*p(x). Factor j(h).\nAnswer: -h*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a factor of 7190920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**15*((j**(-6)*j)\/j*j)\/j**(-4) assuming j is positive.\nAnswer: j**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 26*m**2 + m - 1. Let d(t) = -757*t**2 + 5*t + 907. Let c(a) = -2*d(a) + 10*h(a). What is the derivative of c(s) wrt s?\nAnswer: 3548*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*p - 32 = 0, 2*p = -t + 180068 - 180066 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 2*s - 60. Is (-12)\/((-5)\/s*-2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3144592 less than 35.3247?\nAnswer: -3144556.6753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, z: 4, j: 4, x: 4}. What is prob of picking 1 x and 3 z?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450653.\nAnswer: 7, 17, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 7*w + 1. Let n be 0\/15 + w*2. Suppose -n*f = 6*f - 1768. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -j + 5*j. Calculate the remainder when (j - (-2 - -5))*8 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k**2 + 2*k + 7. Let c(y) = 5*y**2 - y - 6. Let v(q) = 7*c(q) + 6*g(q). Let s be v(5). Solve -4*l = -s*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-7\/2)*q**(-2\/41) assuming q is positive.\nAnswer: q**(-291\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1688361076136 and -0.3?\nAnswer: 1688361076136.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o - 8 = 0. Is 6 a factor of ((-34)\/(-5))\/(o\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 1456672920?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/(-18) + 10\/45. Suppose -w - 3*a = 7, -w - r*a + 1 = -2*w. Let z be (-6)\/w - 3\/(-6). Solve 10 = -4*v + z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 90.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 80\/(5\/4225000*-1). What is h rounded to the nearest one million?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 9:09 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -865*l**3 - 2*l**2 + 1. Let y be p(1). Let i = y - -1507. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -188.141 + 1.041. Let m = -188 - y. Let s(n) = n**2 + 6*n + 5. Let k be s(-5). Which is the nearest to -2\/5? (a) 5 (b) k (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -495 by 15.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/((((r**(-2\/5)*r)\/r)\/r)\/r*r))**(-9))**(-1\/85) assuming r is positive.\nAnswer: r**(9\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, l: 2, j: 1, y: 1, h: 2}. What is prob of picking 1 s and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375600 is divided by 187789?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 416*s**2 + 10*s + 111. Is w(-25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-8 + 5) - 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 15 = -0*v. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17421094 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2509 - -491. Let u be ((13 - 10) + 0)*(-1913)\/(-3). Let n = w - u. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76433197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*s + 16 = -t - 521*s, 3*s + 15 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 o, and 1 t when three letters picked without replacement from {t: 4, o: 8, y: 2, j: 1}.\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1210 or -1185?\nAnswer: -1210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a minute in milliseconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.4988 to two dps.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2490 = 34*f - 2286 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 6:12 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12672 and 16064.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 33, 45, 65?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**3 - 2*c**2 - 8182*c + 89816 with respect to c.\nAnswer: -6*c**2 - 4*c - 8182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1.2, -9, -1\/7, 2\/19, -5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 18 - 7 + 45 = 5*m, 3*h - 4*m = -37 - 45 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -30. Let g be 2*(2 - 10\/6). What is the nearest to 1 in 0.3, g, y?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 2*h + 162. Suppose -o = 5*z - 12 + h, o - z = -7. Sort -3, 1, 4, o in ascending order.\nAnswer: o, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v - 1. Suppose 3*r + 3*g = -3, 5*r + 3*g + 9 = 2*g. Let f(u) = -u + 4. Suppose n - 2*n - 2 = 0. Let a be ((-2)\/2)\/(-1) + n. Give a*f(z) + r*x(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(143)*-2)\/(sqrt(110)\/(sqrt(50)\/sqrt(5))) - (-5 + (3*((sqrt(156) - -3*sqrt(156)) + sqrt(156)) + sqrt(156))\/sqrt(12)).\nAnswer: -18*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**4\/8 + 4*n**3\/3 - 5*n**2. Let i(x) = -5*x + 15. Let t(s) = -6*i(s) + 11*j(s). Differentiate t(b) wrt b.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u - 3. Let r(m) = -2*m + 2. Suppose -2*v + 9 = 5*l - 25, -3*v = 5*l - 41. Let w(q) = v*r(q) + 3*s(q). Differentiate w(f) wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n + 2*n + 0*n)*(-2*n + 2*n**2 + 2*n)*(-3*n + 4*n + 2*n).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-370*l + 92*l - 154*l)*(-1 - 2 + 1).\nAnswer: 864*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**6 + 3302*g**4 - 50418*g**2 wrt g.\nAnswer: 360*g**3 + 79248*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20 + 6 + -3)*1. Let o = -13 - y. Suppose -177 = v - o*v. Does 19 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/7 (b) 4 (c) -2\/27444205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 1, -0.012, -273642?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 2*k**2 + 4*k + 8. Let o(h) = -3*h - 3. Let d = 8 + -2. Calculate d*o(w) + 5*j(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -11*l**4\/24 + l**3\/6 + 3*l**2. Calculate the remainder when g(-2) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6315 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*p - 32, 5*g + 54 = 4*p - 0*p. Let r = p + -7. Solve s - 5*s = -3*l - r, -l = -5*s + 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 491\/6. Suppose 0 = 17*n - 16*n + 12. Let i be 4\/3*n\/(-88). What is the smallest value in -4, 3\/4, i, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4108 (base 16) to base 14.\nAnswer: 60d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 21 = -5*l, l = -2*b - b + 11. Let o(a) = 44*a - 7. What is the tens digit of o(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**3 + 0*p**3 + 0*p**3 + 10*p + 46*p**3 - 10*p + (0 + 3 - 5)*(p**3 - 5*p**3 + 2*p**3).\nAnswer: 51*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-4 - 6) - 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*g = 32, m - 4 = 3*m + 4*g. Let q be -1*2089\/(-6) + (-1)\/m. Suppose q = 23*r - 17*r. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -676?\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - 26 - ((-9 - -5) + -1 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = i + k, -4*k - 12 = -i. Solve q + 3 = -5*f, -i*q - 2*f + 4 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/15 + 33\/10. Find the common denominator of 16\/27 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*v**2 - 102*v**2 - 3 + 3.\nAnswer: -17*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76677 and 3111.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i**2 + 5*i**2 - i**2 + 2*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 317164243 minus -0.49?\nAnswer: 317164243.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 11:58 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/11 (b) -2\/121 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1621 (base 12) in base 7?\nAnswer: -10426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/34740 and -57\/850.\nAnswer: 2952900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6156)\/627 + 10\/1. Let y(w) be the first derivative of -f*w + 2 + 1\/22*w**4 + 2\/33*w**3 - 1\/11*w**2. Factor y(x).\nAnswer: 2*(x - 1)*(x + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*s - 0*s - 5*u, -3*u + 12 = 0. Let v be 10 - (-165 - -13) - (s - 0). Which is bigger: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -57 + 51, 8 = 2*z - 4*i. Let t(r) = -r + 1. Let w(y) = -5*y + 5. Let a(p) = -3*t(p) + w(p). Calculate a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1040 - 52. Let k = d + -367. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785428 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -43\/5, -3, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*p**4 + 5*p**3 + 45*p**2 - 20*p - 20 = 0. Calculate p.\nAnswer: -2, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 16*m + 3. What is w(5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 308*f**2 - 956*f**2 + 333*f**2 + 310*f**2.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227919 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*-2*-1 + sqrt(104) + sqrt(104))*-2)\/((-1*-1*sqrt(24))\/sqrt(3)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 72 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -336102030 * 0.3.\nAnswer: -100830609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - r - 102, r = -0 - 2. Let w = b - -20. Let h be w\/(5 + -3 + -1). Solve t + 0*t = h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 262910*y**2 + 25*y + 24. Is u(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - p - 12. Suppose -4*a - 6*q + 48 = -2*q, 4*a - p*q = 76. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -957925, -957914, -957897, -957874?\nAnswer: -957845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1953 is divided by 487?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635961 at most as big as 1636031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22397146 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 1 - -13 - 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**3 + 5*o**2 + 4*o. Calculate a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -165*y. Let d(f) = -12*f**2. Determine p(d(a)).\nAnswer: 1980*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 7*d**2 + 7*d + 4. Let q be i(-6). Let v = 71973 + -71979. Sort -5, q, v, -1 in descending order.\nAnswer: -1, q, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 404, 859, 1352, 1883?\n\"Answer: 19*h**2 + 398*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15285 + -15285.0006076. What is b rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 = -7. Let s(k) = -k**2 + 2*k + 4. Let d be s(w). Let l be (5\/(-2))\/(d\/(-4)). Solve -3*b - 3*r + 11 = r, l = 2*r for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 8 - -7 - (-1 + -1 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/6*6 + -3. Suppose -y*h + 2*h = -72. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 45*k + 5 + k + k - k + (2 - 1 - 3)*(-3 + k + 3) + 4*k - 3*k - 3*k + 3*k - 4*k + 3*k - 6*k + k + k - 5 + 5 + 2*k.\nAnswer: 42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -36815, -73639, -110471, -147311, -184159, -221015?\n\"Answer: -4*h**2 - 36812*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 126385, 126352, 126319?\n\"Answer: -33*v + 126418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 1\/(-7)*42\/(-18)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o\/((o*o**(-1\/6)*o)\/o))*o)\/o**(-1\/8))**(1\/44)*((o\/o**2*o)\/o*o*o**5)\/(o**(2\/7)\/o*o)**(-49) assuming o is positive.\nAnswer: o**(20135\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*r**3 - 77*r**3 - 83*r**3 - 77*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 458 + 453 = 6*h, -5*r = -4*h + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 11 = -5*u + 9, 14 = 3*r + u. Suppose r*x + 0*x + z = 715, 0 = 4*z. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107281.2 + 0.02.\nAnswer: 107281.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 5. Solve 5*y - 1 = 4*a, y - 5*a = -3*y + w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.7 + 16. What is the nearest to 3 in -0.3, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 106, 229, 400?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*d - 48 - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 13436.9.\nAnswer: -6718.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 7) in base 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(17 + (-702)\/66) - 12\/21?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.79663 millennia to centuries.\nAnswer: 347.9663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 8. Let n = g + 1. What is the third biggest value in n, 2\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(12) + sqrt(300)))**2*2.\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -1. Let w(v) = v - 7. Let k(m) = w(m) - 3*y(m). Let c = -5 - -3. Let j(q) = 9 + 8 - 43*q**2 - 4*q + 42*q**2. What is c*j(h) - 9*k(h)?\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1)\/(-2))\/((-7)\/(-1232))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.08 (b) -0.1569 (c) 59 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*o, 3*w = w + 3*o - 3. Let k be 2\/w + 14\/(-3). What is the least common multiple of 7 and 37\/3 - k\/6?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10334383 is divided by 1291795.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -2*w - 2*r - 4, -4*w + 5*r - 83 = 0. Let b = w - -31. What is the least common multiple of b and 2\/10 + 145\/25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 9:49 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkk. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/(-6) - (6975\/450 - 15\/2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/6 + 15*h**3\/2 + 71*h**2\/3 + 16*h.\nAnswer: -h*(h - 48)*(h + 1)*(h + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + (24 - (-22 + 78) - -65)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 + 76644241.818.\nAnswer: 76644225.818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 b when three letters picked without replacement from {d: 9, o: 2, b: 4, h: 4}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 2 - (-2 + 3). Let n be g\/154 + 6\/33. Let p = 42 - 296\/7. What is the nearest to -1\/6 in -1\/6, n, p?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*o + 275655 - 846255 = -16*o. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-4) - (-81)\/(-108)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*y + 2*w, 0 = 2*y - 14*w + 12*w + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2174156 - -103.2133156. Let u = 257 - 360. Let v = l + u. Round v to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51 + 51 + 7*c**2)*(1 + 2 + 0).\nAnswer: 21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - 0)\/((-786)\/2358)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74 - 64. Suppose 5*x + 0 = 25. Suppose 68 = x*i + 13. Calculate the lowest common multiple of g and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57944 rounded to three decimal places?\nAnswer: 0.579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1000 and 2440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 + 0*d**2 + 0*d**2. Let z(i) = i + 2. Let x(q) = 4*q + 7. Let h(o) = 4*x(o) - 14*z(o). Calculate p(h(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32618.\nAnswer: 2, 47, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 620231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -56.\nAnswer: 5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -646367, -646529, -646691?\n\"Answer: -162*k - 646205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**5\/5 + 17*u**4\/5 - 1499*u**3\/5 + 16471*u**2\/5 - 2414*u - 30056\/5 = 0.\nAnswer: -52, -1, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2. Let z(p) = 2*p. Suppose -2*j - 1 - 13 = 0. Let c(q) = 2*q + 0*q - 3*q. Let a(s) = j*c(s) - 2*z(s). Give m(a(l)).\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 685500933?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 89?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t*t*t**(-3))\/(t**(-4)*t**(-1\/3)) assuming t is positive.\nAnswer: t**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c3 - 7c681?\nAnswer: -7c954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*u - 16 = -5*f - 79*u, 13*f - 3*u = 15*f + 44 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 213408.182 - 213589. Let m = i + 181. What is m rounded to 2 decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m - 18. Let s be 3 + -1 - -12 - 1. Let k(y) = -15*y - 1. What is the remainder when k(-1) is divided by f(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*g**2\/8 - 6583709*g\/8 + 94053\/4 = 0.\nAnswer: -188106, 1\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*t + 14 = 6*t, 0 = -3*u + 3*t. Suppose -4 = -u*c + 4. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1687*h**6 - 157*h**3 + 114*h**2 - 1916*h.\nAnswer: -202440*h**3 - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -373 + -23?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in seventeen sevenths of a week?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(2430) - (sqrt(2430) + sqrt(2430)*-2*5)))\/((sqrt(20)\/sqrt(2)*5 + sqrt(10))*1*-2).\nAnswer: -75*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 4*o + 2. Let h be (34\/6 + -8 + 3)*-9. What is n(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*h = 30, -6*h = s - h - 22. Suppose -s*x + j = 0, -3*x + j - 1 = -3. Let b(o) = 6 - o**x - 2 + 0*o**2 + 0*o + 5*o. What is b(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 3\/5, 0, 8, -14\/141, 2?\nAnswer: -14\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2977*k + 133959. Calculate w(-45).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, 6, -0.3, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -189 - -569\/3. Which is the closest to 35? (a) 2\/5 (b) -4\/7 (c) -3 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 42*k**2 - 10*k + 2520. Calculate b(-40).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 507926 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259499374?\nAnswer: 2, 129749687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*m + 25*m + 68 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -158, -160, -162, -164, -166?\n\"Answer: -2*d - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9349223.\nAnswer: 13, 29, 24799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 827 and -8.\nAnswer: 819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + -1*6 + 2. Let x = -6 - c. Suppose x*n - 5*n = -80. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/120 and 71\/246?\nAnswer: 4920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 8*p - 4*x - 15, 2*x = -5*p + 15. Let j(d) be the first derivative of 0*d - 5\/3*d**3 - p*d**2 - 1\/4*d**4 - 7. Give j(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -316, 3, 4 in decreasing order.\nAnswer: 4, 3, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) - (-1*sqrt(684) + sqrt(684) + -3)**2 - -6*(sqrt(684) + -1).\nAnswer: -15 + 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -a - 0. Let k = 93 + a. Calculate the highest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141911153 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 130920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 259*b**2*m**3 + b - 3*m**3 - 11*m**2 wrt b?\nAnswer: 518*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 150 (base 10) to base 7\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -6*r. Let d be (3 - 5)*(r - 1). Solve 0 = 3*y + 1 + d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23050103 (base 6) to base 3.\nAnswer: 1022212221110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3555 by 5053.\nAnswer: 3555\/5053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*d**2*f**2 - 8*d**2*f*w**3 + 2*d**2*w**2 - 181*d*f**2*w - 3*d*w**3 + f**2*w**3 wrt d?\nAnswer: -44*f**2 - 16*f*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/5 - 11763*v\/5 - 9420.\nAnswer: 3*(v - 3925)*(v + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/32 and -81\/8.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 - 28 = -2*f + 2*n, -f = 2*n - 48. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 7 = b, 4*b + 4 = -5*w + w. What is the tens digit of 1 + -1 - (-61 + b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - m + 10 - 16 = 0, m + 9 = -2*y. Let q = 3.0206 + 0.0094. Let a = -0.03 + q. Put a, 5, y, -2 in ascending order.\nAnswer: y, -2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 6. Let b be w(10). Suppose -m + 39 = 5*n, -4*n - 281 = -b*m + n. What is the highest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 66 = -2*t. Suppose 5*j - t = -h, -h = 2*h - j - 2. Suppose -4 = -v - h. Solve 2*x + 5*f = 3*x, -v*x - 2*f = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -1 + -13 + 7 + 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 707.1679 grams?\nAnswer: 707167.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957777 is divided by 4093?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**4 + 53772759*o**3 + 740478036*o**2 wrt o?\nAnswer: 48*o + 322636554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 11*i + 735. Suppose 3*w - 6*w = -i. Calculate the highest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 = n, -2*x - 2 = -2*n - 0. Suppose -3*l + n = -14. Calculate the smallest common multiple of 10 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.93+-29\nAnswer: -24.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*m + 363*m = -5*w + 45, 3*w + m - 20 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -472 + 1?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115*(-1 + 18\/22 - (-132119)\/111793).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**3 - 15*r**3 + 2*r**3 + (-3 + 3 + r**2)*(-1 + 1 + r).\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10486458 a multiple of 2235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 202 + 89)*(5*w - w + 2*w).\nAnswer: 1914*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 3:16 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by 54.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 133*s**2*v**2*z - s**2*v**2 + 1408*s**2*v*z - 13*s*v + 806*s + 62*v**2*z wrt s.\nAnswer: 266*v**2*z - 2*v**2 + 2816*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 888.4883mg?\nAnswer: 0.0000008884883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 906952 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/999 (b) -0.2 (c) 3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4))\/((-1)\/(-8)). Let u(f) = -f**2 + 7*f - 5. Suppose 3*d - 20 = 4*w, 2 = -2*w + w. What is the smallest common multiple of u(b) and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 8:33 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 125071965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -10\/3*b**3 + 0*b**2 - 5\/4*b**5 - 138 - 10\/3*b**4 - 1\/6*b**6 + 2*b. Factor s(y).\nAnswer: -5*y*(y + 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6348338 to the power of 1\/3, to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 10*b - 6. Let r be k(11). Suppose -20 - 10 = -r*d. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 5\/4 (b) 3\/8 (c) 0.5 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102374\/33 + -3103. Calculate the common denominator of f and -32\/33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 450 = 439*g - 409*g. Solve 38*v + g*v = -10*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.986 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16306.29001 rounded to zero decimal places?\nAnswer: -16306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((-6*(sqrt(108)*-2 - sqrt(108)) + sqrt(108) + sqrt(108))*-1 - -3*2*sqrt(108)*4) + 1)**2.\nAnswer: 192*sqrt(3) + 27649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/17)*m*m**4\/m)\/(m**(2\/7)\/m)**26)\/((m**(1\/4))**32\/(m**(1\/3)\/(m\/((m*m**1)\/m)))) assuming m is positive.\nAnswer: m**(5279\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 338674*k**2 + 5*k - 10559615?\nAnswer: 677348*k + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5*v = -15, -4*v = 28*m - 20*m + 56 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1470)\/525*(-2 + -8).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2268)\/1176*14\/12)\/(2\/8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*b**2 - 129*b**3 + 130*b**3 - 79*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 24. Let m = -26.2 + l. Round m to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.35 * -1346.3.\nAnswer: -471.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of q**4\/3 - q**3\/2 + 5*q**2\/2 + q. Suppose z + 2*b = 11, 3*b + 2*b - 20 = 0. What are the prime factors of i(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a century in years?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*f + f. Let z(h) = 82*h - 8. Let k be z(-6). Let q be k*34\/(2\/f). Round q to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 538, 749, 636, 199?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 10 = 2*b, 2*h + 0*h + 3*b - 22 = 0. Let d = 133468 + -66726. Is d\/91 - 6\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/4 + 5)*-24. Let r(w) = -2*w**3 - 24*w**2 - w - 14. Let v be r(l). Let s = 2\/95 + 79\/760. Which is the nearest to -1? (a) v (b) s (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/3*6\/(-1). Let d be (4\/3)\/(l\/(-6)). What is the derivative of -2 + 2 + d + 2*w wrt w?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, -4, -14, -26, -40, -56?\n\"Answer: -l**2 - 5*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15*1*70\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132761 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 7*b**2\/2 - 4*b - 1. Does 8 divide w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - -8. Suppose -4*y = 2*m + n, 6*m = 3*y + m + 4. Let u(i) = i**2 + 9*i + 11. Is u(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249 and 1.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18419 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 3, -25, -75, -153, -265, -417?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 633739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1877 - -40?\nAnswer: -1837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22839 by 23.\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) -5 (c) -0.1 (d) -341 (e) 64\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2. Let m(v) = 20*v**2. Calculate o(m(d)).\nAnswer: -800*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14)*(-70)\/30.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 617\/14 + -89\/2. What is the smallest value in 5, 1\/2, q, -1\/17?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/7 - 26*v**2\/7 + 104*v\/7 + 128\/7.\nAnswer: -2*(v - 4)*(v + 1)*(v + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 27*o - 21. Let r be (-1)\/(-3) + 2 + (-51)\/(-9). Let g(k) = 5*k - 20. Let d be g(r). Is t(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*x = -42. Let n(f) = 2. Let u(q) = -q + 1. Let s(b) = -n(b) - 2*u(b). Let r be s(x). Solve 2*j + r = 3*g, 2*g + 0 = j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3577\/4 - -18203\/20. Let p = -31\/2 + z. Let i be 5\/3*(-4)\/(-5). Put -0.1, p, i in decreasing order.\nAnswer: i, p, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 6*c - 2*c - 226, 0 = -4*z - 20. Let i be (-27)\/c - (0 + (-9)\/2). Suppose 5*p + 4*r - 10267 = r, -i = -r. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrbqrrrbnnnnrnqrb. What is prob of sequence rnbq?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -134878.5.\nAnswer: -40463.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349319181?\nAnswer: 3, 29, 47, 85429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 326458 or 9?\nAnswer: 326458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/25 and -17\/45?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/12)\/(3\/(-4)). Let z = -118 - -116. Which is the third biggest value? (a) -1\/5 (b) z (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**5 + 249*f**4 + 1047*f**3 - 249*f**2 - 1044*f = 0.\nAnswer: -4, -1, 0, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.5 + -13.5. Which is the nearest to 54? (a) w (b) 3\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 4*a**2 - 2*a + 2. Let o(c) = c**3 + 10*c**2 + 10*c + 12. Let u be o(-9). Let b be p(u). What is the highest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 2*x**2 + 9*x**2 - 7*x**3.\nAnswer: -7*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 13) + 53 + -15?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 19 + 9)*(-5*o + 2*o + o)*(2*o**2 - 3*o**2 - o**2).\nAnswer: 164*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-2 + 5) + 2. Suppose -2*a = -2 - t. Suppose c + 95 = 2*i, -6*c + 9 = -a*c. What is i rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i. Suppose -3*k - 2*h + 14 = 0, -5*k + 6 + 11 = -3*h. Suppose i = -k*a - 0*a + 4. Calculate the greatest common factor of a and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0 + (1 - 7 - 40)*(-5 + 1 + 3))*(-4*h - 25*h - 6*h) to the form w + v*h and give v.\nAnswer: -1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7259 - 1129. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -211 + -1017043?\nAnswer: -1017254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q + 5*q + 3*q)*(4 + 0 - 2) + 43708 - 43708 - 891*q to b + u*q and give u.\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3dd22c (base 15) to base 6\nAnswer: -143515053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*m + 10, m + 1 + 27 = 5*s. Let z(l) be the third derivative of l**5\/12 - l**4\/3 + 2*l**3\/3 + 62*l**2 + l. What is the units digit of z(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 16 + 10 = 0. Let m be (-1)\/2 + (-54)\/(-4). Let x be 1 + -3 + m\/6. Does s = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -219*h + 12503. Let q be 0\/(-2) + -1 + 1. Let b = q + 3. What is the remainder when d(57) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5705 (base 11) in base 16?\nAnswer: -1d53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*a - 26, -2*o + o = 4*a + 14. Let p(i) = -10*i**3 + 2*i - 1. Is p(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/1439?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c4 - e3?\nAnswer: e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 3*t + 4. Suppose 3*p - 7*p + 16 = 0. Let s(z) be the second derivative of -z**4\/4 - 2*z**3\/3 - 5*z**2\/2 + 24*z. Determine p*o(r) + 3*s(r).\nAnswer: -r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, v: 15}. What is prob of sequence vmvv?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -3*z + 4*a, 2*z = -a + 14. Let k = z - -1. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -102 from -188.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l**2 + 9*l + 44. Let c(d) = 7*d**2 - 10*d - 38. Let m(f) = 6*c(f) + 5*v(f). Give m(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 6*u**3 + 10*u**2 + 3*u + 5. Let b be a(9). Let v = -93949\/18 + b. Calculate the common denominator of v and (-426)\/80 + (-4)\/(-20) - 0.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2754128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 89.592\nAnswer: -17.9184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-3\/13))\/v**10*v\/v**12*v*v**(-9) assuming v is positive.\nAnswer: v**(-367\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 4293292?\nAnswer: 47226212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/179 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/143 or -1888?\nAnswer: -1888","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70 - 48. Let u = -124 + 202. Let n = u + -76. What is the lowest common multiple of n and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/16, 5, -2, 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71020?\nAnswer: 2, 5, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*-2*(-20)\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 55\/10)\/(1*(-3)\/82774) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18476\/15 + 1238. What is the common denominator of j and 52\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 55 - -46?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 165 = 4*j. Let m = 14 + -30. Let f be ((-22)\/8)\/(2\/m). What is the highest common divisor of j and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 368 - 367. Is m > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 5:22 AM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1265\/25)\/1 - 4\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120195 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -352 times 24\nAnswer: -8448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - -106. Suppose -4*c + 99 = k, 4*k - c - 89 = 3*k. Let j = k + s. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3*(-171)\/(-6). Let k = f - 41\/6. Factor -2\/3*x**5 + 0*x + 0*x**2 + 0 - 8\/3*x**4 - k*x**3.\nAnswer: -2*x**3*(x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide (2 - 7\/(-2))\/((-199)\/(-95122))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of u**2*v**2 - 29*u**2*v - 25*v**2 + 5*v wrt u?\nAnswer: 2*u*v**2 - 58*u*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-835)\/35 - 7)\/(15\/(-140)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - -110?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 26*k - 157. Suppose 0*o - 13 = -2*o + f, -3 = -3*f. Let d(w) = w**3 - 6*w**2 - 2*w. Let u be d(o). What is the greatest common factor of k and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 7*a - 3. Let n be 27\/4 - 9\/12. Let s be c(n). Solve 5*b + 3*b + 3 - s + 2 + 6*b**2 = 0 for b.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 227081310?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000192473656 rounded to five dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 266*r**2 + 64*r + 1034. What are the prime factors of q(-13)?\nAnswer: 2, 3, 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 7) to base 15\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + ((sqrt(228) - ((sqrt(228) + 2*sqrt(228) + sqrt(228))*-5 - sqrt(228))) + sqrt(228) - sqrt(228)))\/((sqrt(72)*2)\/sqrt(6))*-5.\nAnswer: -115*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 179 + -118. What are the prime factors of q?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 30. Let v = 12 - 12. Suppose v*y - p = -y. Solve -2*o + 2*f = 0, -y*f = 4*o + 11 - 32 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000492053338 to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*b - 0*b. Suppose -b*w - w = -30. Suppose 0 = -5*p + 98 + 2. What is the greatest common factor of w and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 5 + 0 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 8:48 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71569*p**4 - p + p + 71569*p**4 - 38 - 3*p**2 + 263*p**6 wrt p.\nAnswer: 31560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*i**2 + 32*i**2 + 11*i**2 + 11*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*c - 707 = -65*c. Differentiate c*z**4 + 539 + 2*z**3 - 550 - 4*z**4 wrt z.\nAnswer: 388*z**3 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85918 and 3451?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 119\/(-42) - 1\/6. Let v be (-4)\/(19\/(-21) - -1). Is 19 a factor of (-854)\/v + 1\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 259 is divided by 244.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 180039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 769969610*x + 29642660016177605.\nAnswer: 5*(x + 76996961)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 + -198. Let k(g) be the first derivative of m*g + 2 + 1\/3*g**3 - 7\/2*g**2. What is k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5507 divide 468563313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 + 5*k + 119. Calculate the remainder when p(0) is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 5:42 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33)\/5 - 28\/70. What are the prime factors of 1143\/21 + 2 - 4\/m?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 139 - 101 = -0*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -45*n - 11. Is x(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 48\/7 of a week?\nAnswer: 69120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10733621377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 4228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2984, -965, 7\/6?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7 = r + 16, -2*t + 43 = -3*r. Let w = r + 3. Let g be -2*3\/(12\/w). Solve h = -h + 5*b + 27, 25 = -g*b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -45, -19, 45, 147, 287?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*u = 69*u, 10 = 3*a - 5*a - 3*u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -8*g**7\/21 - 2*g**6\/15 + 12*g**5\/5 + 11*g**4\/3 + 4*g**3\/3 - 53*g. Let h(k) = 0. What is k?\nAnswer: -1, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/23, -1.67 in ascending order.\nAnswer: -1.67, 2\/23, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 4*h + 3. Let l be i(7). Suppose l = m + 2. Suppose 2*a + 0 = m. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -d - 3*d, -4*f = -5*d + 3. Let b = 5.9 - 6. Let h = -1703\/7772 + -60\/1943. Sort h, f, -1\/26, b in decreasing order.\nAnswer: -1\/26, b, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 11*q - 19. Let f be j(-3). Which is the smallest value? (a) 19 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562.82 rounded to the nearest 10?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Let d = 3 + q. Suppose 0 = d*u + 15, 3*i - 3*u - 39 = -0*u. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nt when two letters picked without replacement from tntt?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77622990?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2642341417?\nAnswer: 2642341417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 1 + 3. Let o(h) be the first derivative of 1\/6*h**3 + 1\/4*h**2 - t + 0*h. Suppose o(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 9:23 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -786, 3, -499 in increasing order.\nAnswer: -786, -499, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-615)\/12)\/((-21)\/28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*sqrt(304)*4 - sqrt(304)) + 6*5*-3*sqrt(304) + -2)**2.\nAnswer: -760*sqrt(19) + 2743601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 + 1026*o**3 - 1026*o**3 - 13*o**4 with respect to o.\nAnswer: -52*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -354730, -354728, -354726?\nAnswer: -354724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -114*g - 1450 - 590 + 672 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 + -0.1. Let q = -0.2 - v. What is the biggest value in -3, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 8*a**2 - 13*a - 1. Let w be p(-6). What is the third derivative of 6*s - 37*s**w + 21*s**2 - 55*s**2 - 6*s wrt s?\nAnswer: -2220*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*k = -105. Suppose -2*z - 3*z = -k. Suppose -s**2 + 12*s - 1 + 9 + z*s**2 + s**3 = 0. Calculate s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 51504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19832151 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*((161\/(-21))\/(-23))\/(-34)\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2045 + -2833. Are -2360\/3 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 15 + (0 - -76)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4358951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8338 + 8331. Which is the second biggest value? (a) f (b) 1\/4 (c) 1\/2 (d) -2\/23 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 4\/27, -0.034, -2\/7?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 44*b + 481. Let v be t(-18). Solve v*d = 40*d - 27 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-2 - (18 + -8)) - 2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 + 20*k - k**2.\nAnswer: -k**2 + 20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -17*u + 68. Let q(s) = -4*s + 17. Let z(o) = 2*d(o) - 9*q(o). Let p be z(8). Put 1, p, 0 in descending order.\nAnswer: 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662080558 to the power of 1\/2, to the nearest integer?\nAnswer: 25731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 40777.75 millilitres in litres?\nAnswer: 40.77775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/52 - 1876\/(-26). Let i = 32 - t. Let g be i\/30*6\/4. Is g >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2924500 to the nearest 10000.\nAnswer: -2920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f + 34. Let r(t) = 14*t + 51. Let c(l) = 8*g(l) - 5*r(l). Suppose -3*n - 36 = 21. Let i = 6 + n. Let q(v) = -v - 8. What is i*q(s) - 6*c(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 60*j + 56*j = 6, 0 = -2*d + 4*j + 24. Solve 20*h - d = 29*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x - 4. Let t be p(0). Suppose 213 = -5*m + 1203. Let v be m\/(-1573) + t\/22. Do 1\/2 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**4 - 2*f**2 - 5 + 5 - f**4 + f**4 - 2*f**4 + (0*f**2 + 2*f**2 - f**2)*(0*f**2 + 2*f**2 - 4*f**2).\nAnswer: -3*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 799534, 799641, 799750, 799861, 799974?\nAnswer: 800089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/4*6\/(-21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42 (base 7) to base 13.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 39*t - 147. Calculate the remainder when 257 is divided by b(34).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + -1. Let x = -0.16 - -1.26. Let n = x + p. Put 2\/5, n, -0.3 in decreasing order.\nAnswer: 2\/5, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 907, 1610, 2377, 3250, 4271, 5482, 6925?\n\"Answer: 7*r**3 - 10*r**2 + 684*r + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u = 11. Suppose -5*a = 1 - u. Solve 5*x - 28 = 4*o, 3*o + a = -0*o - x for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46479 and 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3350974778794 and 0.04?\nAnswer: 3350974778793.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-4) + (-3)\/(-12). Calculate the greatest common divisor of h and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (185337\/24)\/(-3) + (-18)\/(-144). What is the units digit of (-26)\/((n\/(-258) - 6) + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 34*l = 279 + 62. Solve 28*y + l = 39*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.6295 - 6.68. Are p and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - n + 1 + 6 = 0, 4*n = 5*a + 1. Suppose -a*y - 6 = 0, -v - 5*y = 2*v + 16. Let c be (v - 0) + 2 - 0. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 4*z + 2. Let r be (60\/(-33))\/(-10) - (-862)\/(-22). Suppose 5*u - 227 = 3*a, 0 = -3*u + 2*u + a + 47. Let i = u + r. Determine m(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*z - 6 = 0, -n + z = 5*z + 1. Let m(f) = -f**3 + 8*f**2 - 5*f - 12. Let h be m(n). Let l = -3 + 4. Solve 3 = h*o - l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2401133415 - 5?\nAnswer: -2401133423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 6. Suppose 4*c + 4*f = l*c + 12, 8 = -2*c + 3*f. Solve 4*z - 11 = 3*m - c, 0 = -m - 2*z + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 23*f**2 + 6*f - 5. Let b be i(1). Let l = -17 - -10. Let s = l + b. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 7)\/8 + 1\/2. Sort -0.06, 5, j in decreasing order.\nAnswer: 5, j, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 11:54 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.6425 - -48.9. What is g rounded to one decimal place?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3098*b - 35. Is f(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 5*f + 13, 83*f - 84*f = 4*u - 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 6*k - 3. Let o(j) = 3*j**2 - 13*j + 6. Calculate -7*b(i) - 3*o(i).\nAnswer: -2*i**2 - 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 6:43 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1299 - 1299 - n + 0*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, r: 2, s: 1, b: 7}. What is prob of sequence rsc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133340 - 18667713\/140. Let h = -1420 + 11345\/8. Calculate the common denominator of h and w.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 15) to base 10.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(456)*5*-5 + sqrt(456))\/sqrt(8))\/(((sqrt(3) - sqrt(12)\/sqrt(4)) + sqrt(3) - sqrt(3) - sqrt(3))*-6 + sqrt(12)*-4).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4961996 by -4.\nAnswer: 1240499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.08 (b) 25 (c) -5 (d) 83\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13632 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.94 in 1728, -0.07, -0.4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 7. Let w(d) = d. Let a(g) = 2*f(g) + 6*w(g). Let m be a(-7). Suppose 9 = s - 3*l, 4*l + m*l + 6 = s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p**0\/p)\/p)**40\/(p**(-1\/5)*p**(2\/3)\/p) assuming p is positive.\nAnswer: p**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*p - 1266 = 21*p + 8534 for p.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1045382?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 66, -26, 758, -3 in decreasing order.\nAnswer: 758, 66, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97500.8 nanometers in meters?\nAnswer: 0.0000975008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -3\/4, 5\/4, 0, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35.05 - -33. Let p = -2.45 - u. What is the smallest value in 2.2, 1\/4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*t**3 - 37 + 124 - 99*t**3 - 107 + 20.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rlrrglrrlg. What is prob of sequence rrlr?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1783756435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -116*c - 45 + 202*c**2 - 151*c**3 + 55 + 55*c**3.\nAnswer: -2*(c - 1)**2*(48*c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17350, 17350, 17340, 17314, 17266?\nAnswer: 17190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 8*s**2 + 34*s + 17. What is i(-12)?\nAnswer: -967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8a - -9c89?\nAnswer: a046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*g*l**2*z**2 - 48*g*o**2 - l**2*z**2 - 2*l*o**2*z + l*z**2 + 261*o**2*z**2 with respect to g.\nAnswer: 19*l**2*z**2 - 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 303160 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/6 + 4782*s**4 - 274467641*s**3\/6 + 437958432359*s**2\/3 - 873951280874*s - 3059949523148\/3 = 0. Calculate s.\nAnswer: -1, 7, 9562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -33. Let d be 1008\/(-20) - 2\/x. Let l = d + 132. What are the prime factors of l?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -0*w - 4*w + 186, 2*y - 5*w = 204. What are the prime factors of y?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75 - 53) + 61 + -152.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - ((-5740)\/(-656))\/((-10)\/16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 + 1.2063.\nAnswer: 1.1063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 0)*((-1 - 5) + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83542.\nAnswer: 2, 41771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18336, 33022, 47708, 62394, 77080?\nAnswer: 91766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 546\/70*((-22)\/(-396))\/(1\/((-280)\/4))\nAnswer: -91\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-100)*(-10)\/6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104585 divided by 6?\nAnswer: 104585\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*p + 2*h - 10, -5 = -2*p - h. Let z = -1 - -3. Solve p*u = 2*u - z for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 41545\/175 + (-4)\/10. Suppose -24*g + 25*g = z. Calculate the greatest common divisor of 395 and g.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l + 5 - 5 - 2 - 2*l + 2 + (2 - 6 + 3)*(l + 0*l - 3*l) - 3*l - l + 5*l + 0*l + 4*l - l - 1905*l + 2604*l - 1408*l in the form x*l + k and give x.\nAnswer: -707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -365.7 + 365. Let y = 684\/7 - 98. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 536389 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**4)*y*y))\/y**(-6))\/(((((y**(1\/7)*y*y*y)\/y)\/y)\/y)\/y**2)*(y**(-1\/2))**(-11)\/(y**(5\/2)*y*y\/(((y\/y**(4\/5))\/y)\/y)) assuming y is positive.\nAnswer: y**(72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -15545135?\nAnswer: -15545130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -12*n - 5. What is u(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 28. What is the tens digit of s(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Suppose 0 = -4*v - 24, -9*i + 32 = -14*i - 2*v. Sort -5, h, i, 0 in descending order.\nAnswer: h, 0, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dbdd. Give prob of sequence ddb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1970298 by 2.\nAnswer: 985149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -2*b**5\/15 - 2*b**4 + 2*b**3\/3 + 34*b**2\/3 - 16*b + 33. Solve l(z) = 0.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 + 8. Let i be 3 + (-3 - -3) + -9. Let o = i - y. Which is the second smallest value? (a) -3 (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 560 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3631\/2527 + -3\/361. Which is the nearest to 0? (a) q (b) 2 (c) -0.1 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*k - 0 - 1, -3*i + 5 = k. Let j(c) = 2 - 2 - c**2 + 5*c + c**i - 3. Let v be j(5). Round v to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95902419 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/3*(52 + -10). Let r = 142 - d. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6707 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/192*16*(18\/(-20))\/((-24)\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:04 PM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5991709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10688662039 + 10688661966.99999911. Let i = -72 - j. What is i rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 4:39 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 8*l - 1. Determine x(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 318581?\nAnswer: 318581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + 1.8. Let t = -0.3 - v. Let w = 3.85 + t. What is w rounded to one decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262ab6 (base 13) to base 8\nAnswer: 3405171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -866 - h - 5*h + 867 as t + p*h and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -12. Let r = n - 2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f. Let d(i) = 1793*i**2 + 44*i. Calculate p(d(b)).\nAnswer: 1793*b**2 + 44*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = 2*a + 17, 2*a + 4 = 0. What are the prime factors of 78\/(-195) + 2877\/s?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxvvvxxxxvxxv. Give prob of picking 3 v.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**3\/3 + d**2 - 3*d + 4. Let b(w) = -w + 2. Let a be b(0). List the prime factors of i(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4087143 and 4087152 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4460)\/12*21\/(-56). Let o = y - 139. Which is the closest to -1\/24? (a) 2\/5 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 597, 613, 649, 711, 805?\nAnswer: 937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0 - 4 = 0. Suppose 5*o + 4*m = 37, m - 29 + 4 = -3*o. Solve -23 - q = -o*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4551765469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15514987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2. Suppose 360*n - 370*n = -20. Let m(q) = 138 + 51 + 14*q**n - 13*q**2 - 54 + 122. Calculate m(v(w)).\nAnswer: w**4 + 257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 415 and -232.70279737.\nAnswer: 182.29720263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 3. Let h be w(6). Let p be h\/(-2)*88\/(-33). What is the second derivative of k**4 + 14*k**p + 9*k + 2*k wrt k?\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + 2. Let k be (-40)\/s*(-6)\/4. Suppose -5*d = -4*l + 11, 0 = -l - k*d + 1 + 7. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y**3 + 48*y**2 - 9*y - 28. Give b(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/1*(5 + -2). What is the smallest common multiple of 5 + -2 + 3 - 0 and ((-21)\/(-4))\/(i\/48)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = -5*n. Let f(x) = x + 1. Let s be f(n). Suppose u - 2*c = -4*c + 14, 5*u + 5*c = 45. Solve -4*d = -s + u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.464 + 0.5038. Let k = -0.04 + c. What is k rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -150155.2496 + -6.469.\nAnswer: -150161.7186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 0*s + s + (-2 - 2 + 2)*(-3 + s + 3) - 5 + 34*s - 39*s + 157*s in the form q + z*s and give z.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 43. What is the greatest common divisor of o and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-123 - -142) + (4 - 2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22041988 rounded to 5 decimal places?\nAnswer: 0.22042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*x - x + 0*x**4 + x**4 + 0*x**3 - 2*x**3 + 7*x**4 in the form b*x**4 + q + f*x**2 + a*x**3 + v*x and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b1 - 2?\nAnswer: 2af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 6, -11*s + 8*s = -3*u + 27. Solve 18 - 24 = -u*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000211687322 rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -49. Let q(v) = 3*v + 1. Let y(k) = 7*k + 2. Determine m*q(w) + 4*y(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15580 (base 11) in base 4?\nAnswer: -11113211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2 (b) 5 (c) 1\/9 (d) 110 (e) 7441\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -658024, -1316049, -1974072, -2632093, -3290112, -3948129?\n\"Answer: g**2 - 658028*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 + 832*n\/3 - 64478\/3.\nAnswer: -2*(n - 313)*(n - 103)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -109, -906, -3071, -7288, -14241?\n\"Answer: -114*z**3 + z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*q + 29*q - 990 = 33*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -693, -1026, -1359, -1692?\nAnswer: -2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20308055 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1316 and 37412?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -285 + 0.091.\nAnswer: -284.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24be (base 16) to base 11.\nAnswer: 7081","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 435010 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*q - 2838. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 110 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12b9d1 (base 14) to base 11.\nAnswer: -401a39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/938 and 55\/419741.\nAnswer: 56245294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 1:03 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q**2 + 375*q - 5070. Give r(13).\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 32429519 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.38, -0.258, -0.05.\nAnswer: -1.38, -0.258, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2079849069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 482704741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 22*f + 5. Let i be b(11). Suppose -3*q + 5*q = i*x + 44, -4*q = -3*x - 88. Calculate the greatest common factor of 77 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {w: 3, v: 9}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-5)\/(165\/84). Is -0.1 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173509.\nAnswer: 167, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66243 - -66240. Let p(w) be the second derivative of -w**5\/20 + 4*w**3\/3 + 2*w**2 - w. Give p(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.387833 rounded to 1 decimal place?\nAnswer: 23.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjzjzjzjj. What is prob of picking 2 z?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 - 80. Let s be ((f - -3) + -1)*135\/20. Let q be (-8)\/28 + (-254)\/(-7). What is the highest common divisor of q and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-400)\/75*6\/(-4). Let r be -1 + s\/(-1)*3\/(-6). Solve -r*n + i = 2*i, n + 4*i = 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4593.748km?\nAnswer: 4593748000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 12*c**2 + 19*c - 7. Calculate f(10).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15134383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/(-3)*(-630)\/7. Let m = 89 - z. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**8\/560 + m**7\/140 - m**6\/120 + 2*m**3\/3 - 3. Let v(w) be the third derivative of x(w). Let v(y) = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62300?\nAnswer: 2, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and (-2)\/12 + (8 - 147\/(-126)).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 697 (b) 0.1 (c) 41.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2292 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 212 and 20?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**4\/7 + 114*b**3\/7 + 324*b**2 + 17496*b\/7 + 34992\/7 = 0.\nAnswer: -18, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 15 + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 11) + (0 - -7) + (-32 - -28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04876452866 to four dps.\nAnswer: 0.0488","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11049865 divided by 12.\nAnswer: 11049865\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 419278687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -18, 9, 58, 135, 246, 397, 594?\nAnswer: 843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -d - d. Let t be (10 + 5)*1\/d. Suppose t*q + 0*q + 109000000 = 0. Round q to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - k - 12 = 0, 1598*w + k + 15 = 1594*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 2*j - 10, -178*j - 6 = -180*j + 4*p for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*o + 5 = 0, -i - 4*o = -0*i + 5. Suppose -4*z + i*m = -1330, -8 = -0*m + 4*m. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from bnkckckkck?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15819 and -0.201.\nAnswer: -3179.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 14, 9 in ascending order.\nAnswer: -1, 3, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.2. Let g = t - -15. Let z = g - 14.8. Put 0, -5, z in increasing order.\nAnswer: -5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 283333*p**3 - 3*p**2\/2 + 4*p - 4. Let x be c(-4). What is x rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(2450)*-1*-4)\/(sqrt(1210)*-1*5))**2.\nAnswer: 4704\/605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69626121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -12. Suppose t*f = -2*k + 5, 5*k - 3*f = -8*f + 5. Suppose 2*m - 4 = k, -m + 0*m = -l + 16. 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: Let l be (234\/(-15))\/(2\/(-10)). Suppose l = 4*d + 2*g, -4*g = -3*d - 2*d + 78. Let k = 25 - d. Is k at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3325596 and 111?\nAnswer: 123047052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742989082 to the power of 1\/3, to the nearest integer?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**3\/3 - 21*r**2\/2 - 523*r. Give w(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142730*o + 5*o**2 - 7*o**2 + 71216*o + 71514*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33898 bigger than 33899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**2*s + 216*m*n*s - 2*m*s + n*s + 4*n - 4 wrt m.\nAnswer: 4*m*s + 216*n*s - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 81*z - 9070. What is m(112)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 4*j**3\/3 + 44*j**2 + 84*j - 240. Factor h(n).\nAnswer: 4*(n + 1)*(n + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -27647 equal to -5442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)\/(o**(-2\/77)*o) assuming o is positive.\nAnswer: o**(-460\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 + -76 + -6 + 16 + -17?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + -19. Let v = x - 24. Let b be 2*v*1\/(-2). Solve -l + 8 = -b*j + 26, -4*j = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 - 2*j + 2. Let f be (-12)\/(-2)*(-2)\/(-4). Let s(w) = -3*w**2 + 2806*w + 2*w**2 - 2809*w - w**2 + 3 + 6*w**2. Determine f*t(i) - 2*s(i).\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 + 3*t**2 + 6*t + 7. Let i be c(5). Let g = i + 22. Let v(y) = -y**2 - 5*y + 1. Let p be v(-5). What is the highest common divisor of p and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -12*c + 5 - 6 + 3*c. Let o(j) = 8*j + 1. Determine 6*g(v) + 7*o(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 681?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3888.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 divided by 3?\nAnswer: 142\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 48.15367 to the nearest integer.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/42 and -41\/342.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 27\/(-36)*(-2060)\/(-206)\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20981 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 10400*q**3 + 16*q**2 + 8*q + 40. Let p be l(17). Round p to the nearest 1000000.\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 744\/7 + -106. Let t = 8 + -12. What is the smallest value in 6, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/250 and -69\/3400.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -182*r**2\/5 - 778*r\/5 + 124\/5.\nAnswer: -2*(7*r + 31)*(13*r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.6 and -3.5992?\nAnswer: -30.95312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415750502 to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 410899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60197 is divided by 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 7*h**2 - h - 5. Let x be -19 + 15 - 1*3. Let n be l(x). What is the hundreds digit of ((-165)\/2)\/((-1)\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 848 + 73f8?\nAnswer: 7c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - g + 19 = 0, 0*j + 2*j = -4*g + 4. Calculate the lowest common multiple of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21394.7ug to grams.\nAnswer: 0.0213947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-105*k + 6545 + 29*k - 6554)*(0 + 0 + k) as d*k**2 + m + z*k and give d.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 16*w - 288. Let n be (-153)\/(-2)*1\/(9\/w). Let k = n - 130. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.4 - 3.15. Let w = -0.75 - v. Is w bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 873.6975cm?\nAnswer: 8736975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, b: 1, n: 1, a: 1, f: 1}. What is prob of sequence bnbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/(-100))\/(12\/(-215)).\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22177614919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10296*f**2 - 5*f - 4019468.\nAnswer: 20592*f - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(sqrt(126) - sqrt(126)*1))\/(sqrt(7) - -1*sqrt(7)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14225196 a multiple of 246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.331 less than -61470195?\nAnswer: -61470194.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:40 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3523477 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 10. Let w be n(-8). What is the third derivative of 3*a**2 + a**w + 0 + 2*a**5 + 0 wrt a?\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-84\nAnswer: -16.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 190*j**3 - 164*j?\nAnswer: 1140*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 15*n - 145. Let s be b(10). Solve -s = 8*c - 9*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 times 1.86?\nAnswer: -33.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1102*q**3 - 647*q?\nAnswer: -6612*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -609*i**6\/10 - 1684*i**3 - 1099*i - 1. Find the second derivative of m(f) wrt f.\nAnswer: -21924*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 480 and 6.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l*n**2*t**2 - 544*l*n**2*t - 22*l*t**2 - 89*l*t - 2520*t**2 + 2*t wrt t?\nAnswer: -4*l*n**2 - 44*l - 5040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -6 - (19 - 15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*h**4\/7 + 778*h**3\/7 + 14558*h**2\/7 + 60192*h\/7 - 10440\/7 = 0. Calculate h.\nAnswer: -30, -29, -6, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8098 (base 10) to base 14.\nAnswer: 2d46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z - 19*z - 10*z + 76*z - 14*z - 20*z - 8*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*u**3 - 7\/3*u**4 + 0*u + u**5 + 4\/3*u**2 = 0. Calculate u.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6221660225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -5268*j + 75403. Determine w(14).\nAnswer: 1651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {n: 1, b: 3, s: 4, c: 1, g: 2, w: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/2592 and -7\/789480.\nAnswer: 9473760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11657 + -8308. What are the prime factors of x?\nAnswer: 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0.08, 2\/19, 6 in decreasing order.\nAnswer: 6, 2\/19, 0.08, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1661933 divided by -237419.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635 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: Suppose 4*h = 2*h + 2. Let b be -3 - 0 - h*-3. Is 0 + b - -1*43 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30406, 29594, 28782, 27970, 27158?\nAnswer: 26346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 15*r**2 + 19*r + 7. Let x(n) = 4*n**2 + 5*n + 2. Let d(u) = 6*q(u) - 22*x(u). What are the prime factors of d(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10100 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 21 - 3 = 3*h, 24 = 5*h + y. Suppose 4*d - 68 = -0*d - 3*p, -h*d + 74 = p. Calculate the greatest common divisor of d and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l. Let r(m) = -2*m**2 - 2*m + m - 1 + 2*m. Suppose f - 1 = 2*k, -8*k + 4*k - 6 = 2*f. Calculate k*d(s) - r(s).\nAnswer: s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4266*d**5*n**2 + d**5*n + 34*d*n**2 + 2*d*n + 13*n wrt d.\nAnswer: 85320*d**3*n**2 + 20*d**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 9:11 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 1 = 2*j + 2*v, 0 = -2*j + 2*v + 32. Calculate the greatest common divisor of 91 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 11*h - 16. Let c be (10\/6)\/((-5)\/(-15)). Suppose 11 = c*u - 14. Let a be f(u). Calculate the highest common factor of 126 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 0 - 1)\/1. Let c be ((-16)\/2*-6)\/b. What is the highest common divisor of 72 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124 + -109. Calculate the highest common factor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 5.9. Let b = f - 1.1. What is the biggest value in 0, b, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + ((-4)\/(-1))\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9238 - 6220. Does 144 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 3.67791416\nAnswer: -18.3895708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - -1 - 8881\/1245. What is the closest to 0.1 in j, 4, -22\/5, -5\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (1 + (-106896)\/32)*(-3 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 3. Let k be a(-3). Let p = -8 - -13. Solve 0 = -5*l + 4*c - 5, p*c + k*c - 25 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 6.2. Put q, 0.4, -3 in ascending order.\nAnswer: -3, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54011388 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/75 and -28\/25?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/60 + r**2. Let o(b) = -5*b**2 + 4*b. Let y(m) = 8*m**2 - 7*m. Let v(p) = 7*o(p) + 4*y(p). What is g(v(s))?\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9912 divided by 6?\nAnswer: 1652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1936648 and 602.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 10*v - 4. What is h(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**3*o + 301*b**3 - 96*b**2*o**2 wrt o?\nAnswer: -b**3 - 192*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008251133 rounded to 4 decimal places?\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0*u - 4*u = 0, 2*u + 10 = 3*j. Let d(y) = 0*y - 5 + 5*y - 2*y + j*y. Let q be d(4). Solve -f - 3*p = 12, -2*p + q = -7*p for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -9*f + 8. Give h(9).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(10\/1) + 35\/(-1575)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403719 less than 1?\nAnswer: -1403718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(168\/(-105))\/8*11\/3.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1560 - -4118. Let b = -1686 - w. Is (b\/(-8))\/((-1)\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -74?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*c + 78*c = -84*c - 14, -4*v + 4 = 3*v - 2*v - 0*v + 8*c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1212.42 and 1413806.\nAnswer: 1415018.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23179, -49166, -75153, -101140, -127127, -153114?\n\"Answer: -25987*n + 2808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 4*m**2 + 3*m - 206. Let n(x) = -x**2 + x - 1. Give -6*n(k) + 2*w(k).\nAnswer: 2*k**3 - 2*k**2 - 406","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65\/2 + -33. Suppose -27 = 3*p + 5*b, -2*b - 4 = 2. Let o be p + 5\/2 + -2. Put 1\/11, k, o in descending order.\nAnswer: 1\/11, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l + 2. Let a(x) = 51*x - 35. Let m(c) = a(c) - 4*y(c). Is m(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-15))\/((-31)\/((-4185)\/(-18))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*z + 12. Let t = z + 89. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13658 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4*l = 3*j - 2, 0 = -l + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is dadc (base 15) in base 5?\nAnswer: 2440312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2903413 = -145*y + 8137310 + 3459422. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -45*r**2 + 772*r - 134. Calculate h(17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from eurrr.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 10:46 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -12\/5, 2\/19, -5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 40*n**2 + 79*n - 138. Give m(-42).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*d + 8*d - 3*d + 3*d as i*d + u and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/3*k**5 + 5\/3*k**4 + 0 + 0*k + 4\/3*k**2 + 8\/3*k**3 = 0 for k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 7202*r**3 - 7192*r**3 - 2*r**2 + 14362*r**3 + 126*r to p*r + h*r**2 + u*r**3 + y and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (1 - ((-2 - 1) + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28566*w**5 - 9*w**4 - 16*w**2 + 62193689*w wrt w.\nAnswer: -571320*w**3 - 108*w**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4110? (a) -2 (b) -1 (c) -36 (d) -3 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 221 + -200. Suppose 0 = -2*h - 3*h + 310. Calculate the remainder when h is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 79 = c, 5*k - 59 = 2*k + 4*c. Suppose 3*y - 3*o + 0*o - 9 = 0, -5*y = -3*o - k. Solve -y + 20 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102 - 102.1. Which is the nearest to n? (a) -2\/5 (b) 0.7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.4 - 6.6. Let t = s + 0.4. What is the nearest to 0.1 in 5, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, h: 2, s: 1, f: 2, v: 1}. Give prob of sequence havh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18868 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/5))**(1\/2)*i**(-6)*i**3\/i*(((i**(-2)\/i)\/i)**(-22))**22 assuming i is positive.\nAnswer: i**(9659\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 8*a**2 + 12*a - 3. Let y be m(6). Let z(j) = -j + 2. Determine z(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*p - 16, -3*n - 1 - 11 = 3*p. Let i be (6\/(-5))\/(-3) + n. Let v = 22.3 + -22. Sort -1\/4, i, v.\nAnswer: -1\/4, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -22, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-25))\/((-2)\/(-40)). Suppose -3 = -2*f - 4*u + 3, 2*f - 5*u = 6. Solve -5*m = -20, -h + f*m + n = 5*m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 37. Let y be w(0). Let i = -15 + y. Let k = i + -17. Solve n = k*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78658 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 682698*b - 2730808.\nAnswer: (b - 682702)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35357840 divided by 2452.\nAnswer: -14420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - -0.264?\nAnswer: 43.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -12. Suppose 0 = -4*f - 12. What is the closest to -1 in f, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 9:44 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/77 + (82 - 85)*(-152)\/21\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 8 = -2*s, -1019*f + 9 = -1014*f + 2*s for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*z + 90, -168*u + 73*u - z + 28 = -97*u for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/4 (b) -2351 (c) 257 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2312, 2292, 2258, 2210, 2148, 2072?\nAnswer: 1982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 6, 46, 112, 210, 346, 526, 756?\nAnswer: 1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*h - 3*h + 4*y, -25 = -5*y. Suppose -3*d - 589 = 4*l - 0*d, h*l = d - 722. Let b = l - -271. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-13\/5)*(v\/(v\/(v**(3\/10)*v*v)*v*v*v))\/v*v assuming v is positive.\nAnswer: v**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 358830 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 28 = -61785*a + 61786*a, 4*a = 2*o - 40 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*r - 69*r + 24*r - 215*r.\nAnswer: -286*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 30*t**4 + 120925*t**3 - 383240*t**2 - 40265*t + 302550 = 0?\nAnswer: -4034, -5\/6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 2*v**2 - 2*v. Let g be x(3). Let y = g - -15. What is the least common multiple of 4 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 8:50 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 2590, -3, -1, 125 in decreasing order.\nAnswer: 2590, 125, 6, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-30))\/((-4)\/(-40)) - -2. Sort 0.2, -1\/4, c, -1\/11.\nAnswer: -1\/4, -1\/11, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, 0.06, 2.18844?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/24)\/((-3)\/(-12)*-1). Which is the smallest value? (a) -3 (b) -1\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-3 + 595\/10). Let f = -49 - u. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*x + 108*x**2 - 91*x**2 - 38*x - 58*x**2.\nAnswer: -41*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18571289369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*z**2 + 201612567*z + 86405382.\nAnswer: 3*(z + 9600598)*(7*z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -17*q + 55\/2*q**2 + 2 + 361\/4*q**3 - 250*q**4 + 100*q**5 = 0.\nAnswer: -2\/5, 1\/4, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 127, 774, 1851, 3358, 5295?\n\"Answer: 215*u**2 + 2*u - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 114 and 15523.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2. Let k(o) = -930 + 305 + 50*o + 314 + 311. Calculate g(k(t)).\nAnswer: 7500*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 2*q**2 - 3*q. Let p(h) = h**3 + 4*h**2 - 22*h - 3. Let i be p(-7). Calculate the remainder when (-56)\/(-2)*i\/4 is divided by t(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4\/15 + 242*o**3 - 25898*o**2\/5 - 7875158*o\/15 + 529948 = 0.\nAnswer: -1835, -38, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 897 + 196.2. Round m to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200313231 (base 4) in base 13?\nAnswer: -49389","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.21000022 - 0.21. What is y rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = b + b. Let r be b\/5 + 9\/10. Suppose 3\/2*m**2 + r*m**3 + 3\/2*m + 1\/2 = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 12. Let f be z(-3). Let p be f*((-66)\/18 - -5). Solve -4*i = -4*b - 28, 2*b - p*b + 4 = 4*i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 9*r**2 - 5*r - 8. Let f be o(8). Let h = f + -9. What is the derivative of -2*n - n + h + 0*n wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8, -2, -16, -28, -32, -22, 8, 64?\n\"Answer: a**3 - 8*a**2 + 7*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, a: 4, n: 6}. Give prob of picking 1 t, 2 a, and 1 n.\nAnswer: 108\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l\/(l\/l**3)*l)\/l*l)*l*l))\/l**(1\/5))**(3\/5) assuming l is positive.\nAnswer: l**(27\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 282816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 8215*j**2 + 3052680*j + 3060900.\nAnswer: 5*(j - 1074)*(j - 570)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 0.4617?\nAnswer: -0.9617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -267, 1, 5 in ascending order.\nAnswer: -267, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 15 = o, 0 = 5*o - 2*z - 3*z. Let a = 13 - 3. Solve -a - o = -3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197532 a multiple of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -468c?\nAnswer: 4690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 8:23 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -43 + 46 + (-1)\/(8\/22). Which is the smallest value? (a) -0.4 (b) o (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11\/152 (b) -110\/7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 22 = u + 2*k, 3*k + 52 = 4*u. What is the remainder when u is divided by (-16)\/(-3) + ((-70)\/(-15) - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, -389, -10, -3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = k + 17, 0 = 3*m - k - 4*k - 25. Suppose 0 = -m*i - 2 + 7. Does 13 divide (-3 - (i - 3))*-43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 600?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 229868, 0, -4, -2 in decreasing order.\nAnswer: 229868, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000082873733 to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238*l**6 - 46*l**4 + 2811*l**2 - 24*l?\nAnswer: 28560*l**3 - 1104*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 20) + -6641 + 6768?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 1 + 2*m + 0)*(0*m**3 - 3*m**4 + 0*m**3).\nAnswer: -3*m**5 - 3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 103\/6 - (-1)\/(-6). Suppose -3*p - 133 = -4*k - s, 0 = -3*k - 3*p + 66. What is the remainder when 127 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -6. What is the remainder when 2\/s + (-1855)\/(-21) is divided by ((-1530)\/(-68) - 20)\/((-1)\/(-10))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13987 and -22?\nAnswer: 307714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -68293 (base 11) in base 16?\nAnswer: -18216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 + (-46)\/(-40)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 12 = -2*b, 5*u + 0*u = -2*b + 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872018 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1645577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-5)\/450*-10.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*n**2 - 54*n + 43*n + 28*n + 2)*(0 - 5 + 4) to the form x*n + d + h*n**2 and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 7320000 to the nearest one hundred thousand.\nAnswer: 7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 9*c + 7. Let z be s(-8). Let k(m) be the second derivative of -m**3 + m**2 + 40483*m. Give k(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -5 - (-15 - (24 + -32)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1944*u**3 + 3168*u**2 + 1230*u - 50.\nAnswer: 2*(6*u + 5)**2*(27*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 135056 divided by -4\nAnswer: -33764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 467841 is divided by 156.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -174 + 176. Which is the closest to 7? (a) y (b) 0.1 (c) -4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + 1 - 6*f - 2*f)*(-f**3 - 2*f**3 + 4*f**3).\nAnswer: -3*f**4 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2. Let f = -1 - -3. Let x(o) = -5*o + 2 + f + o - 3*o**2. Let v(t) = -5*t**2 - 7*t + 7. Let j(c) = 4*v(c) - 7*x(c). Determine s(j(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -1\/3 (b) 2 (c) -5 (d) 0.2 (e) -1923\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 957.1744 kilograms?\nAnswer: 957174400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -12. Suppose 3*u - 10 = 2*u. What is the smallest common multiple of u and y?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -4*q + 31. What is m(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(63) - sqrt(567) - sqrt(63)) + (sqrt(63) - sqrt(756)\/(sqrt(12) + sqrt(12) + sqrt(108) + sqrt(12))).\nAnswer: -67*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -759.8 (c) 2\/3 (d) 3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*y + 5. Let j = -112 - -111. Sort y, 4, j in decreasing order.\nAnswer: y, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r - 4. Let u be w(0). Let k = -11.48 + 11. Let s = k - -0.48. Which is the third biggest value? (a) u (b) -1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76826.5012501 + 148391.5112512. Let t = a + -71565. Let f = -0.01 + t. Round f to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 845*o + 159308. Calculate n(561).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 2*c - 3. Let k be o(-2). Suppose -2*d = -2*a - 28, 3*a - 3*d = 2*a - 12. Let z be (-7)\/((-175)\/(-20))*a. Sort k, z, -1 in descending order.\nAnswer: z, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 3*q**2 - 2*q + 2. Suppose -12 = 5*z + 3. Suppose -4*a + 68 + 24 = 0. What is the remainder when a is divided by l(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(60)\/sqrt(2))\/sqrt(10)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -825526*p**2. Let t(r) = 5*r**2. What is u(t(o))?\nAnswer: -20638150*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45827*p - 2*p**2 + 4*p**2 - 45836*p.\nAnswer: 2*p**2 - 9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5407 (base 12) to base 6.\nAnswer: 110411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u**2 + 65*u - 157. Give q(19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/1175218 and -145\/6?\nAnswer: 3525654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zas when three letters picked without replacement from ssnbsnqsssszsnasqsss?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4556, -16931, -37558, -66437, -103568, -148951, -202586?\n\"Answer: -4126*l**2 + 3*l - 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + (-6 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4933 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 10 + 10 = 4*v - t, 0 = -5*t + 50 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23185402 divided by 108343?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 145130 and 45?\nAnswer: 1306170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7182627*v = 7182583*v + 792 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 13 = 5*d, 5*r = 8*d - 6*d + 22 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 732438?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -274 + 1029. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 2*z**2 - 2. Let w be m(0). What is the remainder when 168 is divided by w\/(-4) - (-30)\/24*34?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0308349 + -3805.1791651. Let h = f + 3781. Let r = h + 24. What is r rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -5*q**2 + 2. Suppose 2 = -4*w + 10. Let n(g) = 12*g**w - 17 + 15*g**2 - g**2 + 7. Let d(l) = 11*c(l) + 2*n(l). Differentiate d(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34869 and -0.03.\nAnswer: 1046.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, m: 7, j: 3, d: 4}. What is prob of picking 2 d?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -38*a**3 + 2177*a**2 + 1569*a - 170. Calculate t(58).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 40.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -315.\nAnswer: 8\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + p - 2*m - 4, 0 = 3*p + 4*m + 8. Suppose 6*b - 3*b - 12 = p. Let i be (-2)\/2*0\/1. Solve -b*r = -i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, l: 3, w: 7}. Give prob of picking 1 l and 3 e.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - -131053?\nAnswer: 131064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 622733, 622709, 622667, 622607, 622529, 622433?\nAnswer: 622319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 179390763 and 1665?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 + 37230\/1377)*405.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6019757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220413?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 16 = 3*u. Let n(a) = a + 8. Let q be n(-8). Let y = u - q. Put 4, y, -3 in increasing order.\nAnswer: y, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 8*m**2 + m + 1. Let n be a(8). Suppose 0*i = -3*i + n. Calculate the remainder when 8 is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/9, -4, 0.05, -5, 4 in descending order.\nAnswer: 4, 10\/9, 0.05, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101.68 in -2, 3, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-11 + 2 + (5 - -2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 542 (base 6) in base 2?\nAnswer: 11001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-51)\/(-9) + 2\/6. Let f be 1\/3 + (-14)\/q. Is f less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 4*p + 1. Let d be 2*(-1 + (-5)\/(-2)). Let k be u(d). Let c(q) = 0*q + 0*q + 6*q + 2 - 5*q. Let w(g) = -3*g - 6. Calculate k*w(v) + 11*c(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*d, -7*q = 4*d - 2*q. Let i be 23 - (d - 1)*(-9)\/3. Solve -4*b = -8*b - i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 103 (b) 0.1 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 2*o**5\/3 + 50*o**4\/3 + 380*o**3\/3 + 1040*o**2\/3 + 320*o\/3 - 1792\/3 = 0?\nAnswer: -14, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25484846 or 0?\nAnswer: -25484846","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.181 - -0.061. Let u = -0.12 - s. Which is the smallest value? (a) 0.8 (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-1\/13)*d*d*d*(d\/(d\/((d*((d*d**5\/d)\/d)\/d)\/d)))\/d)\/((d*d**(1\/6)*d)\/d**2) assuming d is positive.\nAnswer: d**(449\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:09 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2)*(-68)\/51)\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 39*t**2 - 125*t - 60. Give u(42).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 43. Let d be n + (4 - -6)\/(-5). Solve d = -2*k + 6 - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17382 + 17380. Which is the closest to -4\/11? (a) 1\/8 (b) 1\/5 (c) 2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1015 and 18.8.\nAnswer: -1.9082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8500109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1890157397, 1890157398, 1890157399, 1890157400, 1890157401, 1890157402?\n\"Answer: w + 1890157396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1009, 1006, 1007, 1018, 1045, 1094?\n\"Answer: n**3 - 4*n**2 + 2*n + 1010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -681081935040 less than 71?\nAnswer: 681081935111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 10 = 18*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3593 - 173*z**3 + 2425 + 524*z**3 wrt z.\nAnswer: 1053*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from skwblksbks?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 15*a**2 + 4*a + 7. Let y(p) = 7*p**2 + 2*p + 3. Suppose 0 = -6*l + 33 - 111. Determine l*y(w) + 6*u(w).\nAnswer: -w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2363, -2361, -2359, -2357, -2355, -2353?\n\"Answer: 2*a - 2365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 5)\/1 - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-433 - -1)*2\/(-1). Let n be (p\/(-40))\/((-1)\/(-500)). Round n to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -1 + 7. Suppose 12 = 6*b - k. Solve 0 = -2*i + 2*c - 8, 0 = -3*i + 4*c - b*c - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 156413 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1062\/295)\/(((-4185)\/(-600))\/31).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1739, -1172, -605, -38, 529, 1096?\n\"Answer: 567*a - 2306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 + 12*u - 11. Let r(b) = -6*b**2 - 11*b + 10. Let k(o) = 6*r(o) + 7*z(o). Is k(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(304) + -3 + 4)**2.\nAnswer: 24*sqrt(19) + 915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 32?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, w: 4}. Give prob of picking 3 w and 1 x.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1503222298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from frdrrrfdbrdrrdfddr?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g + 1. Let v be r(0). Let y be 0 - (4 + v) - (0 - 1). Let p(t) = -3*t + 1. Let h be p(2). Sort y, h, 2 in ascending order.\nAnswer: h, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-7) - (-550)\/350. Let s be (37 + -22)\/(13 - 4). Factor -1\/3*c**3 + 1\/3*c + 5\/3*c**k - s.\nAnswer: -(c - 5)*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03599 times -24?\nAnswer: 0.86376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.075 in 5, -1\/2, 4, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 5*g + g)*(8 - 8 - 7*g**3)*(0*g + 3*g + 0*g).\nAnswer: 42*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4554 is divided by 2253.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -999.3 + 1000.3. What is the closest to 1 in 0.392, -1\/8, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 5*a. Let v be o(5). Let p = 21.6 - 22. Let r be 0 + 3\/7 - 1. What is the nearest to v in r, p, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 + 38. Suppose -2*z - z - 5*r = -260, 3*z - r - 290 = m. What are the prime factors of z?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700439375 to the power of 1\/4, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*j - 1 + 7, 0 = 3*m - 2*j - 9. Suppose y = g + 3*y - 204, 1000 = 5*g + m*y. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*j + 8 = -19*j. Let u(s) = 4131*s**2 - s - 7. Is u(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10334 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 56*n**2 - 2*n - 56.\nAnswer: 2*(n - 1)*(n + 1)*(n + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -13. Let g(b) = b**3 - 20*b**2 - b + 87. Let w be g(-2). Solve -a + w = o, a = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -444*c**3 - 4*c - 3. Let v(y) = -3*y**3 + y + 1. Determine s(m) + 3*v(m).\nAnswer: -453*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5292680 * -0.07.\nAnswer: 370487.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5656 - 5151 = 1259*d - 51095 for d.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5 - 2*n + n - 3*n - n**3 - 7*n**2. Let x be v(-5). Let f = -19 - x. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1283\/75187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 161509 and 2379768?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*v + 260 + 3169 = 0, 2*v = -6. Calculate the highest common divisor of 246 and o.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f**2 + 36*f + 16. What is g(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000042878 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -k - 40, 2*o - 27 - 29 = -6*k. Suppose 0 = 3*z - 5*c - 212, -c = c - 4. Calculate the greatest common factor of o and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43255715 + 1?\nAnswer: 43255716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifty-nine quarters of a micrometer?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kjffjfjsjfjjbkj. Give prob of picking 1 j and 1 b.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ghggtvhhgv. What is prob of sequence vhgt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**2 + 6*l**2 + 8*l**2.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -4\/47 (c) -3 (d) 1\/42 (e) 2\/23 (f) 12 (g) -2\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -85, -188, -291?\n\"Answer: -103*i + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 10. Let a = -7 - s. Does 10 divide (-6)\/(-9) + 88\/a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1497396741 - -28.1497388141. Let h = 39 + -67. Let f = p + h. Round f to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/132 and -5\/2292672.\nAnswer: 25219392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 743264 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mvvnvvvmvnv. What is prob of picking 1 v and 2 n?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -i + 2*i. Let k be 102\/14 + (-10)\/35. Let t = -4 + k. What is the highest common divisor of i and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbshj. What is prob of picking 1 s and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9600849 divided by -1?\nAnswer: -9600849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 12:21 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**2 - 13*r - 24. Let w(f) = 20*f**2 + 40*f + 72. Let i(c) = 3*w(c) + 8*x(c). Let u(m) = m**2 + m + 1. Let g(d) = -i(d) + 12*u(d). Factor g(a).\nAnswer: 4*(a + 1)*(2*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 220\/6*(-531)\/(-118) + -3. Sort z, -3, 1, -2 in descending order.\nAnswer: z, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91*a*d - a*s - 3672*d*s - 20*d wrt s?\nAnswer: -a - 3672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 18 (b) 0.4 (c) 1\/8 (d) -0.5 (e) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 108*x. Let b(h) = -h**2 + 1258*h - 2*h**2 - 628*h - 630*h. Calculate b(a(g)).\nAnswer: -34992*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 506237?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 7:17 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -3. Let x be -2*((-2)\/u - 3). What is the third derivative of -3*w**2 + 2*w**x + 2*w**5 + 2*w**2 - 3*w**2 wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + 20 + 2 + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -66, 0 in decreasing order.\nAnswer: 0, -4, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emeemeyeeyeyeyyeeeyy. What is prob of picking 2 e?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -200192 divided by -391.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1069*z**4 + 1264*z**4 - 2812*z**4)*(0 + 5 - 6) + 2*z**4 - 4 + 4.\nAnswer: 481*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/72, 0, -129, -0.2 in ascending order.\nAnswer: -129, -0.2, -5\/72, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17038 by -19.\nAnswer: -17038\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.1 (b) 6.9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 3*o + 10*o**4 - 2*o)*(o + 2*o + 2*o).\nAnswer: 50*o**5 - 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -4 - -1) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}