diff --git "a/data/dm_maths/full_data/2147_11255.jsonl" "b/data/dm_maths/full_data/2147_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2147_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 832 at least 831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2965906 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1765*h = -1755*h - 2000. What is the highest common factor of 7160 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -11*l**2 + 9*l + 37. Let t(j) be the third derivative of j**5\/12 - j**4\/6 - 3*j**3 + 2092*j**2. Give -6*o(z) - 13*t(z).\nAnswer: z**2 - 2*z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -21\/2*i**2 + 7\/2*i**4 + 0*i + 0*i**3 + 17. Find the second derivative of u(o) wrt o.\nAnswer: 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q - 1. Suppose -2 + 6 = 2*l. Solve -d - 7 = l*w - 4*w, 2*d = -q*w - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 5*u + 2*u)*(-79*u + 160*u + 933*u**3 - 81*u).\nAnswer: 2799*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - x = 129, 29*b + 3*x = 31*b - 62. Suppose 0 = -5*p + i + 27, 3*p - 4*i - 20 = 3. Calculate the highest common factor of p and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -2. Let p = -3772 + 3786. Let m = x + p. Which is the second smallest value? (a) 1\/6 (b) -1\/2 (c) m (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -220675, -0.1, 4 in ascending order.\nAnswer: -220675, -0.1, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9241, -9780, -10319, -10858, -11397?\n\"Answer: -539*h - 8702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/29)\/h**(-14)*h**4\/(h**17\/h))**44 assuming h is positive.\nAnswer: h**(2464\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 4}. Give prob of sequence zzl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - 8*t - 4. Suppose -12 = 2*g - 5*r - 43, -13 = 4*g + 5*r. Suppose -g*d = -15, -d = 2*x + 2*d - 5. What is the tens digit of b(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -35055251244?\nAnswer: -35055251245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 2*w - 10. Let r = -2 - 3. Let o be u(r). Suppose c + o*v + 9 - 27 = 0, 4*c - 5*v + 3 = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 335099069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 minutes after 11:36 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -2 + -18 - (-8 + 0) - 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13487?\nAnswer: 13487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 46\/5, -31, -1.3, 2\/49?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4474.3 + -4060. Let h = 61.3 - u. Let g = 352.999999407 + h. What is g rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2210 - 300303231?\nAnswer: -300312101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and 318?\nAnswer: 2862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 480 = -y. Suppose 8*v = 2*v - y. Let h = v + 21. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33 - -35)*(4 + 0))\/5?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 65719 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 822 and 7905174?\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.6 + 0.6. Let i = 0.011 - -0.089. What is the third smallest value in o, i, -2\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 1 - 1)*(-6 + 6 + 5*v**2 + 1 + 2*v**2 - 1 + (-v + 2*v + v)*(6*v - 2*v - 2*v)).\nAnswer: 22*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2 and -55\/10929884?\nAnswer: 10929884","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nanubynnnbuannaubu. What is prob of picking 1 u and 2 n?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 11) to base 16.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - -35. Suppose -5 = 2*u - 4*w - 187, -4*w - 12 = 0. Let t = u - x. Solve -r + t = 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60278*h - 60278*h + 17*h**2.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 0*z + 0*z**2 + 127\/3*z**3 + 106. Let v(a) = -2*a. Give v(q(k)).\nAnswer: -254*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -f - 3*c, -f - 4*f = 3*c + 71. Let b = -7 - f. Solve -q = 2*q + b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 207, 12, -4, 47.\nAnswer: -4, 12, 47, 207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -84, -77, -72, -75, -92?\n\"Answer: -c**3 + 5*c**2 - c - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9}. What is prob of sequence rr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41884.33 - -41894.329972. Let k = 10 - v. What is k rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of u**5\/50 + 19*u**4\/30 + 112*u**3\/15 + 192*u**2\/5 - 33*u - 4. Determine m so that s(m) = 0.\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -208*f + 4693. What are the prime factors of l(-46)?\nAnswer: 13, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 + 15*n**4 - 27*n**3 + 13*n**2.\nAnswer: -n**2*(n - 13)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 7. Let y(r) = 10 + 6*r - 3*r + r - r. Give 7*m(s) - 5*y(s).\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - j - 60. Let v = -21 - j. Let s(a) = -a**2 - 8*a - 8. List the prime factors of s(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, m: 4, g: 3, f: 7}. Give prob of sequence mgff.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/50 and 59\/10800.\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3451052 and 10168?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4968182 to the power of 1\/2, to the nearest integer?\nAnswer: 2229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 28 = -5*x, 3*j - 4 = 2*x - 0*x. Suppose -u + s - 4*s = 1, -j*s = -5*u + 33. Let c = -5 + 8. Solve y + 1 = a - 4, u*y + c*a = 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19813332 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6583 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0714018 to three dps.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.82971 and -0.1.\nAnswer: 0.082971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 427 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 94684339 and 94684339 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 15*m + 3. Let s be r(-15). Suppose -s*x = -292 + 58. Calculate the remainder when x is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -6560*w**2. Let k(i) = -50*i**2 + 1. Calculate k(n(b)).\nAnswer: -2151680000*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 5, -4, -127?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 - 28. Suppose 9 = 5*q - l. Solve 4*c - 1 = -c + q*i, 5*c + 3*i = 19 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-28)*1024\/96?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4 = 1. Let r = 7 + j. Let w be 10 - (r + -4 - 3). Calculate the highest common divisor of w and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -4, -566, 5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 195566, -174.\nAnswer: -174, 0, 195566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.85393922251 - 0.4?\nAnswer: -2.25393922251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -106*o - 4. Let f be c(-5). Find the common denominator of (-11)\/((-308)\/8) - f\/(-21) and (2 - (-87)\/(-42))*-44.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-7)\/f))\/f**(-4)*f**(-2)\/((f\/(f\/(f\/(f\/f**(-1\/6)*f))))\/f*f))\/(f\/(f**8\/f)*f*f**(-2\/11))**(18\/7) assuming f is positive.\nAnswer: f**(11315\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 9*z**3 + 75 - 72.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1349054, -2698089, -4047124, -5396159, -6745194?\n\"Answer: -1349035*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*j**5 + 58*j**4 - 14*j**3 - 4291223*j.\nAnswer: 620*j**3 + 696*j**2 - 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*y**2\/17 + 160*y\/17 + 200\/17.\nAnswer: 2*(y + 10)*(7*y + 10)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + f + 1. Let z = 4 - -1. Suppose h + 3*h - 14 = -5*l, h = -2*l + z. What is w(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 8, 3, 5, -4474, -2, 13 in decreasing order.\nAnswer: 13, 8, 5, 3, 0, -2, -4474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 688864159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c - 5. Let d(z) = -2*z + 2. Let k(a) = -5*d(a) - 2*y(a). Let b(u) = -193 - 201 - 191 - 4*u**2 + 585. Determine b(k(i)).\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j + 5. Let d(m) = 87*m - 1. Give b(d(t)).\nAnswer: -174*t + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1073.\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16334*v - 3914?\nAnswer: 16334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*j**4*l**3 + 725*j**3*l**2 + 2*j**2*l**3 - 146220*l**3 wrt j.\nAnswer: -2256*j*l**3 + 4350*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 54, 109, 184, 279, 394, 529?\n\"Answer: 10*n**2 + 5*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.859, 2\/3549, 3 in decreasing order.\nAnswer: 3, 2\/3549, -0.859","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6529 + 29206?\nAnswer: 35735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2188 - 2110. What are the prime factors of u?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4614552893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 2 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v - 12*v + 7*v + 0*v. Let d be w(-11). Let c = -134 + 133. Is c > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-3\/22)\/c*c*c**(-17\/4)*c*(c**(-5\/6))**38 assuming c is positive.\nAnswer: c**(-4495\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1247, 1423, 1707, 2123, 2695?\n\"Answer: 4*u**3 + 30*u**2 + 58*u + 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16*(-4)\/32*-4. Suppose -t - 6 = -3*t, -k = -b - 2*t. Solve 4 = -3*z + b*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 70, -0.0049, 0.1, -5?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m + m + 0*m)*(-26*m**2 + 18*m**2 - 16*m**2).\nAnswer: -96*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9553308, 9553307, 9553306?\n\"Answer: -i + 9553309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11160\/(-3680) - -1*3)\/(66\/(-264)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g - 3. Let w be q(-3). Let l be (-3 - (-28)\/w)\/((-16)\/36). What is the closest to -1 in -0.3, 5, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -63 + -30 - -78?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -9*g - 7. What is v(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-1))\/((-1)\/3*612\/(-1734))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 6 + -5 + 1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (31\/124)\/(4\/(-244)) and -89\/285?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3*(-2*sqrt(3168))\/sqrt(2)*-5)**2.\nAnswer: 1425599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (4 - 3) - (0 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35999171.86 rounded to the nearest one hundred thousand?\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a**3 - 7*a**2 - 36*a + 4. Let c(z) = -7*z**3 + 8*z**2 + 39*z - 5. Calculate -5*c(q) - 6*l(q).\nAnswer: -q**3 + 2*q**2 + 21*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(18\/(-23))*(-13026)\/(-8684).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072405 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 70926?\nAnswer: -70930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**4\/6 + q**3\/6 + 3*q**2\/2 + 5*q. Let w(o) = o**3 + 9*o**2 - 5*o - 13. Let l = -8 - 1. What is l*b(z) - 2*w(z)?\nAnswer: -2*z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 9:55 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 3*l + 6, 0 = 5*l - 0*d + 2*d - 5. Suppose -2*k - 4 = 3*m - 35, 0 = -l*k - 12. What is the greatest common divisor of 52 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 9*n**2 + 11*n + 8. Let f(w) = -w**2 - 7*w. Let i be f(-5). What is the smallest common multiple of 20 and s(i)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 774 and 1634.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*g + 130*g - 30 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)*f*f)**14\/((f\/(f*f*f**(2\/11)*f))\/f**7))**8 assuming f is positive.\nAnswer: f**(13896\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1295 and -0.3.\nAnswer: -388.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 156 = -s - y, 0 = s - 5*y - 58. Let b = s + -38. Suppose -3*j - 15 = -0*j. Sort -6, j, b.\nAnswer: -6, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 52. Let y = -10 + z. Suppose 0 = y*n - 0*n - r - 5, 5*n - 7 = -3*r. Calculate the greatest common divisor of n and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 22*h**2 - 108*h - 213. What are the prime factors of m(16)?\nAnswer: 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-2 + 2)*-1. Let d = 0 - -3. Suppose z - d*z + 10 = j. Sort 2\/5, 2\/21, z in descending order.\nAnswer: z, 2\/5, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -57*s - 20*s + 74*s. Let y(t) = -14*t. Let o(k) = 0*k + 4*k - 3*k. Let z(j) = 12*o(j) + y(j). Determine z(p(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 167 - 70. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**4 + 39*o**3 + 2*o**2 - 562*o wrt o.\nAnswer: 24*o + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 537157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:08 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 3*j - 24, 68792*g - 68787*g - 2*j = -30 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**2 + 13*x - 1. Let g(p) = p**2 - 7*p + 1. Let j = 1153 - 1150. Determine j*s(n) + 5*g(n).\nAnswer: -n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*m + 268*m = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-12)*(-9)\/(-6)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 + 94. Let d(w) = 15*w - l - 14*w + 3. Let y(k) = -9*k. What is d(y(t))?\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 44 + 12 = 0. Suppose 5*t + 2*c = -56 - 2, 3*t - 2*c = -38. Let h = t - -22. What is the remainder when d is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38785210?\nAnswer: 2, 5, 3878521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -524 in -0.5, -0.1, 3\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -445?\nAnswer: 13\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 + 3*c**3 - 3*c**3)*(3*c + 0*c - 4*c).\nAnswer: -c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/2 + ((-115)\/(-35))\/(-1). Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 2. Let d be s(6). Let x(w) = -w**2 + 13*w + 9. What is the remainder when x(d) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1164, -2302, -3366, -4332, -5176, -5874, -6402?\n\"Answer: 4*p**3 + 13*p**2 - 1205*p + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1123090 by -59110.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55*595\/2805)\/((-5)\/18)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21722364 and 1188.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*z + 70. Let i = z - 13. Suppose -2 = -2*x + 50. Calculate the remainder when x is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -33, 1, 679 in descending order.\nAnswer: 679, 1, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, m: 1, n: 1, r: 4, e: 2}. What is prob of picking 3 x and 1 m?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 0, 0 = -4*h + 4*q - q + 69. Suppose h*n = 10*n + 33. Suppose 0 = 7*j - n*j - 8. Solve 5*r = -3*m - 13, 4*m + j*r - 21 = 3*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) -0.3 (c) 2\/127 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d - 25 = 0. Let f(a) be the second derivative of a**3\/6 - 4*a**2 + 2*a. Let p be f(7). Put d, p, -3 in increasing order.\nAnswer: -3, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (256\/(-17248)*11)\/((-1)\/7).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mom when three letters picked without replacement from {o: 3, g: 3, h: 1, m: 6, l: 1}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuuuuuuuuluul?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 78660452 to the power of 1\/2, to the nearest integer?\nAnswer: 8869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 416*c - 7. Let v(p) = -416*p + 7. Let n(a) = -5*j(a) - 4*v(a). Is n(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1344*c - 52689. Give d(39).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 + 16*q - 9. Let j be a(7). What is the remainder when (j\/110)\/((-2)\/140) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 310, -430, -1174, -1922?\n\"Answer: -2*r**2 - 734*r + 1046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6eb (base 15) to base 12\nAnswer: aab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 o when two letters picked without replacement from {v: 1, d: 2, c: 1, w: 1, o: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -12 (b) 37 (c) -1\/5 (d) 3 (e) 3\/7 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1576 (b) -5 (c) 158\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*u + 64*u - 261. Let n be 9*(0\/(-2) - -449). Suppose -u*c - 1494 = -n. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-6 - (2 - 2 - 16)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1605 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 9:34 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**4 + 10*s**3 + 4*s**2 - 40*s - 48 = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j - 12*j + 460 = -14*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z**(1\/3)\/z)\/z*z\/z**(-2))**24*((z*z**(-5)\/z)\/(z*z\/((z\/(z**(-2\/11)\/z))\/z)))\/(z*z**0)**(7\/3) assuming z is positive.\nAnswer: z**(1579\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -310, -465, -620?\nAnswer: -775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 5442?\nAnswer: 59862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 32*b**2 + 31*b + 10. Determine j(31).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13434 - 13422.7488. Let y = a + -0.0012. What is y rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 6*m**2 + 2*m - 1. What is the remainder when 0 + -1 + 0 + 41 is divided by x(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 153 and 119.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**3 - 3*v**2 - 3*v + 3. Let h(g) = 3*g**3 - 2*g**2 - 2*g + 2. Let b = 4 - 4. Let a = -3 + b. What is a*h(c) + 2*o(c)?\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 25*r - 214. What is c(-17)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 28 + 26)*(-2 + 3 + 2)*(-31 + 31 - 3*n).\nAnswer: 99*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 18143 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 2*v + 2. Let a(w) = 1. Let l(n) = 4*a(n) - 2*p(n). What is z in l(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*r**5 + 43*r**5 + 129*r**5 - r**5 + 0*r**2 + 0*r**2 + (0*r**4 - 2*r**4 + 4*r**4)*(0*r + 0*r + r).\nAnswer: 183*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2. Let f(b) = -100*b**2. What is o(f(h))?\nAnswer: 20000*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -7)*1 - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 1:12 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 939.018 + -939. Is j not equal to -53\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -88*d + 674. What is l(10)?\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5760 (base 8) to base 13.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 2:06 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/19, -0.4, 0.3, -3483, -0.04?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 2*d**2 + 4*d - 6. Let f be 1\/((-20)\/16 + 1). What is the tens digit of r(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 3*k - 38, -6 = -4*b - k + 20. Solve b*t - 2*h + 35 = 0, -2*t + 9*h - 6*h = 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of w**4\/8 + w**3\/3 + 8*w**2. Let x be c(1). Solve 2*g - z + 5 = 0, 6*g - z = x*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -3*i + 2. Let o(z) = 6*z - 3. Calculate 7*c(h) + 4*o(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3005 (base 9) to base 7\nAnswer: -6251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -0.098537563\nAnswer: 0.295612689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -15. Suppose 0 = 5*i + j*c - 40, -4*c + 24 + 13 = 5*i. Suppose 3*b - 3 = l - 44, i*l + 4*b - 300 = 0. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9923, 9911, 9897, 9881, 9863?\n\"Answer: -g**2 - 9*g + 9933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**5\/3 + 27247*a**4\/3 + 3396768*a**3.\nAnswer: -a**3*(a - 27616)*(a + 369)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 634, 960, 1286, 1612?\nAnswer: 1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.1441 and 3.\nAnswer: -30.4323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 + 3*o + 1. Suppose 4*t = -3*f + 178, -5*t + f + 217 = 2*f. What is the smallest common multiple of 3\/(-5) + t\/5 and y(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/7))**(2\/51) assuming v is positive.\nAnswer: v**(2\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v**3 + 8*v - 4*v**3 - 4*v**3 - 6*v**3 - 4*v**2 + 4 = 0 for v.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/(3\/32). Let q = 24 - p. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2886 (base 13) to base 10\nAnswer: -5856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/1366 in -2, -0.2, 2, -0.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1896 and 1185.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 830320172 + 0.1\nAnswer: 830320172.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-3)\/2)*-3. Suppose -g*l = -0*l. Let k = -22640 + 22642. Solve l = k*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 107769?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 7 = 4. Suppose h - t = 2, 2*t - k*t = h. Let y = 109\/3 + -37. Which is the closest to h? (a) y (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1753 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 163662.9ml to litres.\nAnswer: 163.6629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 853.\nAnswer: -854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2943 + -3031 - (-45)\/1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 16. Let q(y) = 0*y - y + 2*y + t - 13. Suppose 0 = 5*z + 3 + 2, 3*z - 41 = -4*o. Let r(f) = -2*f + 2. What is o*q(l) + 6*r(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*20*(-2)\/4. Let a be (1 + -10001)\/(3\/u). What is a rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125*-2.9.\nAnswer: 362.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 395309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6 (b) -424 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(21) - (sqrt(21) - (sqrt(21) - (sqrt(84) - sqrt(21))))))\/sqrt(7))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 + 2*l - 3*l**2 - 3*l**2)*(-41 + 41 - 4*l).\nAnswer: 32*l**3 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*m*y - 451*m - 41*y**2 - 79*y - 181 with respect to y.\nAnswer: -13*m - 82*y - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2374778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149827 is divided by 49833?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-3) + 16\/12. Suppose 3*d - 5 = y. What is the remainder when 5 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 318126660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.4 + 9. Suppose i + 16 = -3*i. Which is the closest to -2? (a) u (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 15 = 21*q. What is the fourth smallest value in -1, q, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 6*k - 8. Which is the third biggest value? (a) -4 (b) -56 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -10. Calculate the greatest common factor of q and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 215266 or 215267?\nAnswer: 215266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.72 + 0.78. Let b = h - 0.06. What is the closest to 0 in b, -0.03, -5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/3*(-3)\/(-1). Let p(n) be the second derivative of -3*n**5\/10 + n**3\/6 + n**2\/2 + 3*n. Calculate p(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -2\/111, -2 in descending order.\nAnswer: 2\/9, -2\/111, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0\/11)\/(21\/(-7))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*c - 454202 = 0, 725965 - 158208 = 5*r + c. Suppose r = 38*d - 22*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 61*s**2 - 3106*s + 127. What is j(51)?\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 2:12 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/133303 and -25\/11?\nAnswer: 1466333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -237\/181 + -13\/543. Let j = 15.8 + -3.8. Which is the closest to j? (a) f (b) -11 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/37 and 1\/978724?\nAnswer: 978724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10*f**2 - 2*f + 1. Suppose -2*g + g + 7 = 0. Suppose 0*d - d = -4*r + g, -4*d - 8 = 4*r. What are the prime factors of i(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -19, 55, -18, 2 in descending order.\nAnswer: 55, 5, 2, -2, -18, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.8 + 112.\nAnswer: 105.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/20)\/(2\/685). Suppose 135*s = f*s - 262. Calculate the remainder when s is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5\/7 - 64*v**4\/7 - 494*v**3\/7 - 1224*v**2\/7 - 792*v\/7 = 0 for v.\nAnswer: -22, -6, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1670*i*m**3 - 11*i - 2*m**3 + 3414*m - 1320587 wrt m.\nAnswer: -5010*i*m**2 - 6*m**2 + 3414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18.36 and 4?\nAnswer: 73.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/231744 and -4\/119?\nAnswer: 1622208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3*(3\/4)\/(-3) and -5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {h: 1, r: 6, a: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 508813 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6b70ca (base 15) to base 9\nAnswer: -10588501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - 13. Let k = -6 + l. What is the second derivative of k*i**4 + i + 3*i**4 + 0*i**4 - 2*i wrt i?\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -57*w**3 + 4*w**2 + 646*w - 168. Let b(x) = 56*x**3 - 3*x**2 - 647*x + 196. Let d(i) = 6*b(i) + 7*h(i). What is the second derivative of d(t) wrt t?\nAnswer: -378*t + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 28*m**3 + 9*m**2 + 7*m + 9. Let n(o) = 7*o**3 + 2*o**2 + 2*o + 2. Give 9*n(l) - 2*q(l).\nAnswer: 7*l**3 + 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x + 14 = 0. Let g = x - -39. Suppose y + 5*m = -y + g, y + m - 25 = 0. Solve 4 = -2*t - f, -4*t = -5*f + 12 + y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-21)*(a**(-3)\/a*a)\/a)**(1\/3) assuming a is positive.\nAnswer: a**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*v = -160*v - 6*y - 12, 2*v + 6 = 5*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1\/12 (c) -0.9 (d) 13 (e) 5 (f) -4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by 372?\nAnswer: 35\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10686 is divided by 114?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -8*y + 26. Let w(u) = 3*u - 11. What is w(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -4035.9\nAnswer: 12107.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, 2, -41, -0.142 in descending order.\nAnswer: 2, 0, -0.142, -0.4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**4 + 2432*g**2 - 2545*g**2 + 242*g - 55*g wrt g.\nAnswer: 24*g**2 - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6181 + -185447\/30. Find the common denominator of h and 47\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -229*z**2 + 8*z - 4. Let m(p) = 457*p**2 - 18*p + 9. Give -4*m(s) - 9*t(s).\nAnswer: 233*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864 and 2515104?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(153) + 5 + -2.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.28535469 to 3 decimal places.\nAnswer: -31.285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -36, -73, -126, -201, -304?\n\"Answer: -l**3 - 2*l**2 - 24*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24509554 + -0.1.\nAnswer: 24509553.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -128*w**2 + 77*w + 112. Give a(-3).\nAnswer: -1271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -69*h - 295. Let s(u) = 8 - 65*u - 138 + 19*u - 67. Let d(g) = -5*l(g) + 8*s(g). What is the first derivative of d(p) wrt p?\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3 + 2*o**2 + o**3 - 5*o**2 + 7*o**2 + 3*o + 4. Suppose -a + 12 = -5*a. Determine m(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 - -0.023?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = 9*z + 7*z. Let i be z + 10\/(-80) + 66\/16. Is i < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5770?\nAnswer: 2, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4793.\nAnswer: 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/5, -0.4, 4, -10, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480163953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -130*f + 45*f - 2*f**2 + 42*f + 43*f.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -104*m**2\/7 + 187914*m\/7 + 213344\/7.\nAnswer: -2*(m - 1808)*(52*m + 59)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 4*o + 3*o - 208 = 0, 13*o - 17*o - 3 = 3*b + 37 - 3 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 447440*p*v*z - 37*p - v*z - 49*v + 458 wrt z.\nAnswer: 447440*p*v - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 9:29 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 55797376 to the power of 1\/2, to the nearest integer?\nAnswer: 7470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, m: 1, s: 1, b: 2, t: 1}. Give prob of sequence bb.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = l - 28, -n - 14 = -5*n + 2*l. Let x be (4\/(-20))\/(2\/n). Which is the closest to 0.1? (a) x (b) 2\/9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-33)\/(-11)*(-11)\/(-1023)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113321?\nAnswer: 13, 23, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -8*z - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477 divided by 27545.\nAnswer: 477\/27545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (139832\/(-681))\/(136\/51)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*q**3*x**2 + 5337*q**3*x - q**2*x**2 + 36851*q**2*x - 2*q*x**2 - 2*q + 2*x wrt q?\nAnswer: 306*x**2 + 32022*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 290 = 4*t, 2*t - 222 = -5*d + 68. Calculate the remainder when d is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -2, -3*a - 2*h - 23 = 3*h. Let o = a - -10. Solve l = -o*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, z: 5, p: 1, a: 1, x: 2}. Give prob of sequence px.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.4 - -17. Let p = d - 7.6. Let g = -2 - p. Which is the second smallest value? (a) g (b) 1\/5 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, 2, 1, 3 in increasing order.\nAnswer: -11, 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**1)\/o)**(-13\/2)\/(o\/o**2*o**2) assuming o is positive.\nAnswer: 1\/o","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 12*z + 10. Let y be v(-11). Let r(p) = 22*p**2 + p + 2. Let w(o) = -21*o**2 - o - 3. Let u(x) = 3*r(x) + 2*w(x). Is u(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 5*v**2 - 3*v + 1. Let i be l(-4). Let q be -4 - (3\/i - -1). Suppose 0 = -5*d + 20, -3*d = -3*t + 2*d - 17. Put t, 5, q in descending order.\nAnswer: 5, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/5 - (-143)\/55. Suppose 3*r = 5*u + 16, 5*u - v*u = -3*r. Solve i + 4*l = 3*i + 26, -r*i + 2*l - 18 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -766791218 and 30.\nAnswer: -766791188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 minus 288340281478?\nAnswer: -288340281023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 529*p**2 - 6*p - 1055*p**2 + 9 + 525*p**2. Calculate s(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -15290*s**3 - 66*s. Let w(c) = -1176*c**3 - 5*c. Determine -66*w(y) + 5*x(y).\nAnswer: 1166*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, 2, -14, -0.067, 4\/7, 0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of 3*y**2 + 1\/40*y**6 + 0*y + 1\/3*y**3 + 0*y**5 + 0*y**4 + 0. What is the derivative of p(i) wrt i?\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g - 9. Let k be -8*2 - (-8)\/4. Let j(y) = -y**3 - 15*y**2 - 14*y + 5. Let t be j(k). Calculate p(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - 15*r - 9*r + (2*r - 2*r - 2*r)*(5 - 2 - 4) + 0*r + r + r + 0*r + 5*r - 4*r)*(0*r**2 - r**2 + 12*r**2) to g*r**3 + j*r**2 + i*r + k and give g.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -111111011010100110000 (base 2) to base 9\nAnswer: -3816428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 304656872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.085 - 0.043. Let n = 13086 - 13084. Sort n, -2\/13, b in descending order.\nAnswer: n, b, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 1 = 4*u, -5*k + 212 = 4*u. Calculate the greatest common divisor of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98817488 by -24704372.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 7.5987911973.\nAnswer: 7.0987911973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llhbg. Give prob of sequence hbg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.3 - -3.3. Which is the closest to 1\/4? (a) m (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -71*d - 359. What is the units digit of v(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 73\/4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 374 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 35 - 19. Factor -2*b**3 - 2*b**o + 0*b + 0*b + 6*b**4.\nAnswer: 2*b**3*(2*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 331\/11254 - 611\/(-34).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3185 and 7.\nAnswer: 22295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + (1 + sqrt(300) + 5)**2)*-3.\nAnswer: -1008 - 390*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 3:57 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 4*x**2 - 11*x**2 + 2*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 38*a - 532. Let z be r(14). Let j(s) be the second derivative of -s**3\/3 + s**2 - s. Calculate the smallest common multiple of j(z) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**2\/2 - 4*o - 1212. Determine x(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 42 = 4*k. What is the nearest to k in -3, -6, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 340.8.\nAnswer: -340.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5627 or 5581?\nAnswer: 5581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 - 85. Let n be x*52\/2 + -12 + 9. What is n rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 6*t + 9. Let g be a(7). Suppose 0 = 3*i + 5*o, o = i + g*i. Suppose i = -0*m - m + 36. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 1:17 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 7. Let h(n) = 1. Let g be 1\/2 + 9\/2 + -4. Determine g*f(y) + 5*h(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = 29*k - k - 435 - 228 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 - 17 + d + 11)*(-23 + 6*d**2 + 23) - 4*d**2 + 4*d**2 - 2*d**3 + (-3*d - d + 2*d)*(4*d**2 - 2*d + 2*d).\nAnswer: -4*d**3 - 270*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 2, d: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*u**2 + 2\/5*u**4 - 2\/15*u**5 + 0 - 2\/15*u**3 + 4\/15*u = 0. What is u?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521370 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 12*v**2 + 12*v - 4. Determine x(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3 + 1)*(-1 + 11\/11). Put b, -3, 509\/5 in ascending order.\nAnswer: -3, b, 509\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**17*s**(-3\/2) assuming s is positive.\nAnswer: s**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -31564 (base 8) in base 4?\nAnswer: -3031310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/12 and 115\/774.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122 + -134.4. Let q = f - -15.4. Let p = 7 - 2. What is the smallest value in p, q, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 25 + 18)*(3*y**2 + 9*y**2 + 3*y**2) as m*y + t + b*y**2 and give b.\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o - 7. Let p be i(-4). Is (-310)\/(-8) + p\/20 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -284 + 288. Suppose 65 = n*r - 3*i, 0*i - 90 = -4*r - 2*i. Calculate the remainder when r is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c = 16*c - p + 39, -3*p + 45 = 4*c. Solve -c*b + 157 = 184 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*b**3 + 21*b**4 - 26*b - 23*b**4 - 17*b**3 wrt b.\nAnswer: -24*b**2 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/5, 0.3, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 1. Let n = 387 + -372. Let c be (-12)\/(-20) - (-6)\/n. Let h(z) = -z + 3. What is c*h(m) + 2*o(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.05 (b) 6\/11 (c) 0.1 (d) 4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5*r**3 + 612*r**2 - 367*r + 287. Give b(-123).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/2 - (-1)\/(-2). Let v(c) = 9*c - 9. Does 15 divide v(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*g**2*p**2 - 6*g**2*p - 4*g**2 + 242088*g*p**2 - g*p + 4*g - 3*p + 11532 wrt p?\nAnswer: -128*g**2 + 484176*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -z - 3*z. Let m be -9*(z\/(-6))\/(-4). Let u(r) = r**2 - r - 3. Let w be u(m). Solve w*b - 11 = -2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.15, -5\/2, 3, -0.1 in descending order.\nAnswer: 3, -0.1, -0.15, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 2*o**2 - 2. Let t be f(-2). Sort 0, t, 5, 4 in decreasing order.\nAnswer: 5, 4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12435336*c**2 + 5456333*c wrt c?\nAnswer: -24870672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2826860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 12:50 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xku when three letters picked without replacement from {z: 2, k: 4, x: 1, q: 1, u: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a micrometer in nanometers?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106970, -213920, -320854, -427772, -534674?\nAnswer: -641560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88261.04 millilitres in litres?\nAnswer: 88.26104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/g**(-14)))\/g)**(-45)*g\/g**(6\/23)*g*g*g**36 assuming g is positive.\nAnswer: g**(17451\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + 7*c - 12. Let l be z(6). Let o = l - 64. Solve 2*p - 6*p - o*w - 10 = 0, -3*w = -2*p + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 + z. Calculate a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10812, -14106, -17402, -20700, -24000, -27302, -30606?\n\"Answer: -r**2 - 3291*r - 7520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6*a**2 - 6*a - 11. Let z(r) = r**2 - r - 2. Let v(q) = 2*o(q) - 11*z(q). Let g(s) = -s + 1. Let i(u) = -4*g(u) + 4*v(u). Factor i(d).\nAnswer: 4*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 18*d**2 + 5*d - 5. Let o be f(-5). Suppose -3*i + 210 = 2*l, 0*i - 4*i = -4*l + o. Let q = 57 + -42. Calculate the highest common divisor of l and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -1216.974\nAnswer: -6084.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13152148?\nAnswer: 2, 3288037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n*s**3 - 1402*n*s**2 - 22*s**3 - 32 wrt n.\nAnswer: 2*s**3 - 1402*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvh when three letters picked without replacement from {v: 4, h: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*s**3 + 387*s**2 + 194*s + 24.\nAnswer: (s + 4)*(5*s + 1)*(17*s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -34*t**2 + 258*t + 2136. Calculate i(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + v = 1292, 4*v - 440 + 1068 = 2*d. Calculate the highest common factor of 1242 and d.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 423*z**6 - 3*z**5 - 3*z**4 + 3520*z**2.\nAnswer: 50760*z**3 - 180*z**2 - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/4 + 809001*q**2\/2 + 17798385*q + 195783566.\nAnswer: -(q - 1618046)*(q + 22)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -4, -2\/15, -5 in descending order.\nAnswer: 21, -2\/15, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24623 in 0.5, -1929, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 758029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.08, -120, 5, 46?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 41812260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(2\/29)\/k))\/k**26 assuming k is positive.\nAnswer: k**(-698\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677 = -123*l + l + 177 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 1906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 102.781 + 0.219. Let t = m + -217. Let p = t - -114.87. What is p rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -503020*f**4 - f**3 + 114317*f**2.\nAnswer: -12072480*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 149148 = -u, 0 = -9*u + 13*u - 2*f - 596562. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + (7 - (6 - 0))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -100231500 (base 6) in base 16?\nAnswer: -19ee7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -744, -1418, -2106, -2814, -3548, -4314?\nAnswer: -5118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2 - 5*o + 9. Let s be j(2). Solve -3*f = -s, 2*x - 3*f - 2 = -5*f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**5\/20 - r**4\/4 + r**3\/6 + r**2 + 36*r. Let d be a(-3). Is 2\/43 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**6\/120 - 3*q**5\/20 + 7*q**4\/24 + 2*q**3\/3 - 29*q**2. Determine o(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/203 + 3*(-11)\/(-63).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + j - 2*j)*(-4*j**4 + 3*j**4 + 0*j**4) + (6*j**2 + 0*j**2 + 191 - 192 - 2*j**3)*(0*j + 0*j - 2*j**2) + 11*j**4 - 11*j**4 + 9*j**5.\nAnswer: 12*j**5 - 12*j**4 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1992554, -1992538, -1992522, -1992506, -1992490?\n\"Answer: 16*l - 1992570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20351*h**3 + 227*h**2 - 433691*h + 37?\nAnswer: -122106*h + 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, -0.4, 5, 34.1.\nAnswer: -4, -0.4, 0.3, 5, 34.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12820 by 3.\nAnswer: -12820\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 550686900397 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -9786785.\nAnswer: 38\/9786785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 137*t**2 - 142*t - 630. Determine y(-138).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*c - 87 = 389, 2*c = -4*d + 976. Let y = d + 1834. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 2:26 PM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -22. Suppose -5*n = 2*d - 482, -2*d - 106 = -4*n + 3*n. Let o = a + n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 7*n**2 - 7*n + 269. Give m(12).\nAnswer: 1193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 - 363*m - 19565. Determine f(225).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 times 115?\nAnswer: 72450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*b**3 - 4*b**3 - 18*b**3.\nAnswer: 95*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.20913446 + 2307.90716554. Let b = p - 2308. Round b to three decimal places.\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*g**3 - 2*g**3 - 2*g**3 + 0 - 3 in the form o*g**2 + v*g + r*g**3 + f and give r.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27720 - -58121. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5173 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23 - 72*m**3 - 11 + 23*m**2 - 12 wrt m.\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 2. Let q(x) be the first derivative of 2*x**2 + 11. Let w be q(i). Solve p = 1 + w for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-9) - 76\/18. Let z be 2\/8 + (-100)\/16. Is z bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-205)\/(-246))\/((-5)\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*878.\nAnswer: 351.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/7, 13\/28, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.083 - -3.083. Sort -4, f, 9\/2, 2, 1 in descending order.\nAnswer: 9\/2, 2, 1, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let a be q(6). Suppose 0 = -2*t + a. Determine m, given that -5*m**3 + 0*m - 2*m**4 + 29*m**t + 2*m**2 + 8 - 24*m - 8*m**4 = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128*x**4 - 21*x**2 + 60993*x - 6?\nAnswer: 1536*x**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*k = 38*k - 924. Suppose -2519 = -5*f - 2*l, -2*l - k = -5*f + 1607. What are the prime factors of f?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -678 + 666 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + f + 12 = 0. Suppose -2*z - 2*m + 31 = m, 0 = -f*z - 3*m + 48. Let d = -17 + 49. Calculate the remainder when d is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/79 - 82\/1501. Let p(u) = u**3 + 6*u**2 + 4*u + 5. Let h be p(-5). Suppose 3*l = 5*l - h. Which is the second smallest value? (a) l (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1173 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 + 42301*t**2 - 35.\nAnswer: 42301*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 6. Suppose 4*m = -q*u - m - 5, u - 4*m = 19. Suppose -5*w + 170 = -u*c, -3*w + 30 = -c - 72. Is 16 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = 3*k + g, 4*k + 24 = 4*g. Let d(n) = 4*n**3 + 2*n**2 + 5*n + 6. Let c(l) = -2*l**3 - l**2 - l - 1. Let w(q) = 3*c(q) + d(q). Calculate w(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 31 + -33 + (7 - 2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -27*w + 326. What is m(13)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 12:07 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9023331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 4*q = -4. Let c be (4\/14)\/(q\/(-1)). Determine a so that c*a**2 + 6\/7*a**3 - 4\/7 + 2\/7*a**4 - 6\/7*a = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2 - 308890776*m - 7951125958156848 = 0.\nAnswer: -51481796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l - 11. Let v be p(-5). Let n = v - -3. Solve -4*k - n = -5*a, 0*k - 9 = -5*a + 3*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 4*b**2 - 6*b**2)*((418 - 209 - 61)*(-2 + 2 - 3) + 4 + 1 - 4).\nAnswer: 443*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 8:38 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 10. What is the remainder when 65 is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12848664 to the power of 1\/2, to the nearest integer?\nAnswer: 3585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 25*t - 10. Let h(q) = q**2 - 5*q - 7. Let d = -121 + 119. Let o be h(d). Let x(m) = -17*m + 7. Give o*x(w) + 5*j(w).\nAnswer: 6*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 17. Let s = f - -8. Let i = s - 8.2. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**3 - 9*d**2 - 37*d - 35. What is l(-7)?\nAnswer: 812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -423 - -433. Is -7 equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11 and 440?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/30047 - -1592531\/600940. Let j = 9\/4 - q. Which is the closest to 0.2? (a) -1 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88.8 - 89. Let f = 3 - 3. Suppose 28*u = 20*u - 16. What is the closest to j in u, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**2 + 7*q + 3*q**2 + 3*q**2 wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 276\/(((-15)\/(-2))\/(-5)). What are the prime factors of (-8)\/(-6) - t\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -26. Let m be 0 - 1 - ((-125)\/5)\/d. Suppose 3*j = 5*l + 5 - 16, -j = m*l - 2. Which is greater: -3 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 0, 8, 30, 72?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 349 divide 1350979?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -4. Suppose -2*i = 2*f - 5*i - 24, 5*f = k*i + 70. Suppose -4*g + 68 = -4*z, 2*g = -0*z + z + 35. Calculate the lowest common multiple of g and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 1. Let r be (-1)\/(-2) - ((-55)\/11)\/10. Let k(w) = 7*w - 42. Calculate r*k(p) - 6*y(p).\nAnswer: p - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -46239971*c. Let z(g) = 2*g. What is u(z(f))?\nAnswer: -92479942*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 463229600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/2411 != -85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/36, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4408)\/(-418))\/(-58)*6699\/(-126)?\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 29 = -52*o + 57*o, 5*p = -3*o - 11 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1635 + 5.\nAnswer: 1640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2210*f + 2210*f + 5*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 7*c = 20. Let f = 7 - c. Suppose -f*i - 2*i = -85. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 5*c**2 - 1196*c - 952. Calculate s(240).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 12444420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 4*g**2 - 9*g - 13. Let l be j(6). Solve 22 = -2*f - 0*f - 4*q, -l*q = -f + 17 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -164a523a0 - -1?\nAnswer: -164a5239a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/1008*-294*744\/93.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 - 30. What are the prime factors of d - (-5 - -3) - -1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113242 or -113248?\nAnswer: -113248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/(5*(-1)\/2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3754a93 (base 11) to base 8\nAnswer: 30702031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*l + 240 - 982 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.845136 rounded to 2 decimal places?\nAnswer: 0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 68441 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67054 is divided by 90.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaa. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/11, -2\/3, 3\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54246*a**3 - 108492*a**3 + 54244*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 12. Calculate the remainder when 166 is divided by q(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from korwvswv. What is prob of sequence vw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 3*x + x + x + x + 0*x + (3*x - 6*x + 2*x)*(2 + 0 - 3) + 3*x + 0*x - x + (-19 - x + 19)*(-4 + 2 + 3) + (2*x + 0 + 0)*(-1 + 0 - 1) - 3*x + 3*x - x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 4*l. Let t be c(-5). Suppose -t*s = -3*s + 6. Find the common denominator of -115\/14 and ((-65)\/3)\/((-4)\/s).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-418)\/(-66)*(-129)\/86\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 - 2 + (-4 + 1 + 1)*(1 + 0 - 3) + 2 - 5 + 2)*(-759*p + 1141*p - 636*p) in the form t + r*p and give r.\nAnswer: -508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -2. Calculate the smallest common multiple of ((-3)\/(w\/28))\/((-6)\/27) and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25440688 divided by -9191?\nAnswer: -2768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -0.03 (c) -1\/5 (d) 16\/9 (e) -3\/5 (f) 71\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43728 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + t + 2. Give g(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 49413 divided by 181\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(36)*-2)\/(sqrt(1452)*-3 - sqrt(1452)).\nAnswer: -3*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -17\/20*b**5 + 0*b**4 + 0 - 11\/2*b**3 - 5*b + 0*b**2. Find the second derivative of y(x) wrt x.\nAnswer: -102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, l: 1, p: 3, e: 4, d: 3, r: 3}. Give prob of sequence edp.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/3)*h\/((h\/(h*h**3))\/h))**(-2\/13))**49 assuming h is positive.\nAnswer: h**(-1666\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21603 and 28443?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0284 + 5.0284. Let q = 110\/7 + -1004\/63. What is the second biggest value in h, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3*l - 11 = 0, -374*l + 372*l = 9*x - 15 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 407 = -5*j, j = 5*j - 2*m - 336. Suppose 3*x - 48 = 3*w, -3*w + 78 = -4*x + 7*x. What is the remainder when j is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 26. Suppose -b*p = -5*j + 58 + 24, 2*j - 24 = -p. Is ((-16)\/(-6) + 0)\/(j\/462) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.7851? (a) -7 (b) -1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 2553736 - 331552 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332.819t in micrograms?\nAnswer: 332819000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25\/2*t**3 + 167*t**2 + 0 - 280*t - 1\/2*t**4.\nAnswer: -t*(t - 8)*(t - 2)*(t + 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1516 + 1492. Which is smaller: 16 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6250003254.29999377 - -6250003310. Let f = a + -55.7. Round f to 7 decimal places.\nAnswer: 0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-24)*(-1 - -9). Suppose 3*m = v*m. Let k(u) = -u**2 - 6*u - 5. Let t be k(-4). Put -2, t, m in decreasing order.\nAnswer: t, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 485 - 481. Solve -k + 4 = -0*k + w, k - h = -2*w for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 526 - 522. What is the highest common factor of m and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -4*f + 48424. Let w = 17306 - f. Round w to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 22 = -5*z, -p = -2*p - z + 8 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, 0.2, 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + 0 + -1011 + 1046.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**3 - q**3 - 5*q**3)*(-2*q + 0 + 3 - 2*q**2 + 15).\nAnswer: 20*q**5 + 20*q**4 - 180*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -1. Let o = 20808 + -20807. Let k(l) be the third derivative of -l**4\/24 + l**3\/2 + l**2. Suppose 0 = 5*u - 18 - 12. Give o*k(r) + u*s(r).\nAnswer: -r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23158 + -23147.061. Let c = -0.161 - b. Let j = -20 - c. What is j rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 4*q**2 + 29*q + 506. Give h(-12).\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23124215 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*v = 16, -7*v = -5*i - 2*v - 10. Let q(n) be the third derivative of -4*n - 5\/24*n**4 + 1\/6*n**3 - 5*n**2 + 0 - 1\/60*n**5. Determine q(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 1, q: 6, b: 2, e: 1}. Give prob of sequence bbe.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.14726 + -0.15274. Let l = -3 + 3.5. Put 3\/2, k, l in descending order.\nAnswer: 3\/2, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 800.\nAnswer: -17\/800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -30, -2\/21, 2\/5, 3\/2, 0.5, 2\/783?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1012 - 11?\nAnswer: -1023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -82717 (base 9) to base 3.\nAnswer: -2202210121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/387 <= -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -z - 3*x, 2*z = 2*x + 63 - 159. Is 6 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046203742 rounded to 5 decimal places?\nAnswer: 0.0462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + c - 6 = -c, 3*c = 4*x + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 4\/11 (c) -3\/8 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15886810*q**3*x + 4*q**2*x - 867*q*x - 140*q - x + 2 wrt q?\nAnswer: 95320860*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -108 bigger than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 5*i**2 - 2*i - 1. Let p be b(4). Suppose -5*h = -p*h - 2. Let u = h - -7. Does 2 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5 and -1887.49?\nAnswer: 1892.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -242030712 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3727144 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**6\/75 - 3*a**5\/50 + 4*a**4\/5 + 16*a**3\/3 - 850*a. Factor i(h).\nAnswer: -2*h*(h - 5)*(h + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 3*k + 40, -k + 1 - 21 = -2*g. Let f = -6 - -22. Let n be f\/(-40) + 34\/g. Which is greater: 12\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 2*p - 4)*(-5 + 3 + 1) - 2*p - 3*p + 3*p + 2*p - p - 3*p + 346*p + 186*p - 179*p)*(2*p - 3*p + 2*p).\nAnswer: 347*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -3, 0 in decreasing order.\nAnswer: 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 4*q = -12, 2*g + 7 = -q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 823658534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 + 171. Which is the second biggest value? (a) -1\/6 (b) 4\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k + 0*k**2 + 2 + k**2 - 8. Suppose -i + 0*i + 1 = -4*f, 5*i = 4*f + 37. Is 9 a factor of u(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 261*v**3 - 6*v**2 + 22*v + 2. Is l(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83064247 - 1565?\nAnswer: 83062682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1033, 48, 1?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 44.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 692.7887 micrometers?\nAnswer: 692788.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 5*v - 3*v.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 176.\nAnswer: -176.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -21*a**2 - 9*a + 9. Let y be k(2). Sort 4\/3, 1, y.\nAnswer: y, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4250*q - 625*q - 46058 = -4114*q - 278228 for q.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 307220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -412.6 (b) 2 (c) 1 (d) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 16*i**2 - 10*i - 122. Let m be a(-16). Solve -m = -10*p + 29*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 585 * 0.3186\nAnswer: 186.381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**4\/4 - 3*z**3 - 2*z - 3. Let d be (4 + -9 + 2)*1 + -1. Let o be d\/10 - 8\/(-40)*-43. What is i(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-86.67.\nAnswer: -433.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9927*x + 2.\nAnswer: 9927*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226780.\nAnswer: 2, 5, 17, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -23. Suppose -z + 0*z = -5, 5*z - 20 = 5*n. What is the greatest common divisor of n and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/20, 0, -7, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5245*q - 40. Let j(t) = -236024*t + 1810. Give -181*a(c) - 4*j(c).\nAnswer: -5249*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001265257 to 6 dps.\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 3*d + 27, 2*c = 2*d - 3 - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101594.\nAnswer: 2, 79, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17890*y - 4464*y - 4465*y - 4498*y - 4463*y + 113*y**2 - 115*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/1630 - 62757\/3260. Let d be (-66)\/99*(-2 - (0 - 5)). Find the common denominator of x and -1 - ((-246)\/24)\/((-5)\/d).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m + 4. Let y be w(0). Let x(n) = -n + 8. Let i be x(11). Let d(s) = -9*s + 3. Let c be d(i). Solve 2*f - g = y*g - 25, 3*f = 5*g - c for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 13*d - 5. Let p(x) = -11*x - 15*x + 3 + 19*x. Calculate -3*j(m) - 5*p(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 - 1. Let d be o(1). Let f = -0.42 - -0.21. Let v = 3.21 + f. Put 1\/5, v, d in ascending order.\nAnswer: 1\/5, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -10737770?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -27160904.19753 minus 0.5?\nAnswer: -27160904.69753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t + 3. Let i(z) = 8*z + 4. Let p(c) = -3*i(c) + 4*l(c). Let s(y) = 5*y. What is s(p(k))?\nAnswer: 20*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1331) - (0 + sqrt(11) + -2)) + ((-3 + sqrt(539))**2 + sqrt(539) - ((sqrt(176)*-3)**2 + sqrt(11))).\nAnswer: -1034 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -25652562433 and -0.021.\nAnswer: -25652562433.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -13.1. Let a = j + 1.2. Put a, -2, -3 in ascending order.\nAnswer: -3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5614304*i**4 + 17635134.\nAnswer: -22457216*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**4\/4 + 5*o**3\/3 + 2*o + 1. Suppose 7*d - 2 - 33 = 0. Is 2 a factor of b(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 764183261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 - 22. Let w = p - 11. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3555 - -3557. Which is the fourth biggest value? (a) -18 (b) -8 (c) w (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 46 (c) 0.31 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/272 and -119\/6.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56.94 - 57. Let z = -0.4 + v. Let q = 0.45992 + z. What is q rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20026 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/sqrt(5) + 2)**2.\nAnswer: 16*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -62677080 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.34*-0.5\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/24)\/((-5)\/(10\/(-4))).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720206239 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6804 - 6864. Let j(o) = 20*o + 2. Let g be j(3). Let a = g + v. Solve r = 4*n - 2 - 7, 8 = -2*r - a*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1845306 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16643573 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14232006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1087 - -1069 - (2 + -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 828124.1mg to kilograms.\nAnswer: 0.8281241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/20*(0 - (126 - -4)). Let v be (-1653)\/(-9) - (-70)\/(-42). What is the highest common factor of v and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 873264870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.448 + 0.048. Put 5, -4, 1\/3, f in ascending order.\nAnswer: -4, f, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/665 - 8107\/1330. Find the common denominator of h and (-2)\/(-8) - 66\/9.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yty.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/2)\/((-11295)\/37175). Let t = -3\/502 + a. What is the common denominator of 32\/309 and t?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452*i**3 + 170*i**3 + 281*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3*(-3)\/45)\/(-1). Let v = 0.71 - 0.21. Let n = 3.5 + v. Which is the nearest to -3? (a) n (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5040 to the nearest one hundred.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 198 and 1672.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -149*h - 23. Let j(z) = 49*z + 8. Calculate 17*j(t) + 6*q(t).\nAnswer: -61*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47181, -47127, -47073, -47019, -46965, -46911?\n\"Answer: 54*y - 47235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 3 + 5)*(3 - 4 + 5) + (-4 + 1 + 2)*(-6 + 1 - 6))*(2*t**2 + 0*t**2 + 0*t**2).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -995, -1024, -1061, -1094, -1111?\n\"Answer: 2*g**3 - 16*g**2 + 5*g - 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 + -34. What is the fourth smallest value in 3, d, -0.01, 1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 + (-56)\/12)\/((-13)\/(195\/40)). Which is the second biggest value? (a) -7\/33 (b) -0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -1\/4*y**4 + 1\/2*y**3 - y + 0*y**2 - 1\/20*y**5 + 0. Let q(z) = -z + 35. Let w be q(38). Give v(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/18 - 1) + (-49)\/(-153). Let o = 5\/51 - s. Calculate the common denominator of -28\/15 and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/450 and -61\/400.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 127 = -3*v, 31 = 4*s - 2*s - 5*v. What are the prime factors of s + (-12)\/8*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, 2, 0 in ascending order.\nAnswer: -18, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/9 (b) -19976 (c) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 13 + -10 + -3 + -5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 - (10 + (116\/(-16) - 5\/(-20))). Which is bigger: 1\/6436 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9 = -3*m, -5*m + 3*m + 21 = -i. Let t be -5*28\/m*(-168)\/20. What is the greatest common divisor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-2))\/((-35)\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -13*f**2 + 11*f - 23. Let c be n(3). Let u = 130 + c. Solve 0 = 27*l - u*l + 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 6)*(-30*n + 286 + 32*n - 30) to h*n + z and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o**3 + 116*o**2 - 3*o + 4. Let w(g) = -3*g**3 + 175*g**2 - 5*g + 6. Calculate -8*n(l) + 5*w(l).\nAnswer: l**3 - 53*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 24 = -4*o, -5*a - 32 = -2*o - o. Let n(x) be the second derivative of -1\/2*x**2 - x - 1\/12*x**4 + 0 - 1\/2*x**3. What is n(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1443 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 19*n = -528. Calculate the lowest common multiple of 18 and n.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 473838 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.5, 10, 3, -0.3 in increasing order.\nAnswer: -6, -0.3, 0.5, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, k: 10}. What is prob of picking 2 k and 1 j?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - -69. Suppose a = -2*c - 11 + 249. Calculate the highest common factor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 3049*s**4\/4 - 2386*s + 520. Differentiate z(l) with respect to l.\nAnswer: 9147*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-5 - -7)) + -10 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 44 = -0*l + 4*l, -16 = 4*x. List the prime factors of (-14)\/((-3)\/(l\/(-6))).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11278?\nAnswer: 2, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**3\/13 + 90*u**2\/13 + 948*u\/13 - 80 = 0?\nAnswer: -26, -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2\/301 (c) 3 (d) 3\/4 (e) -4 (f) -116\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -52773, -105541, -158307, -211071?\n\"Answer: h**2 - 52771*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 - 45*o**3 - 15*o**2 + 185*o - 120.\nAnswer: -5*(o - 1)**2*(o + 3)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 244.12 times 3\nAnswer: 732.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29968856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2832118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5406, -10755, -16056, -21309, -26514, -31671?\n\"Answer: 24*r**2 - 5421*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 620a71 + -22?\nAnswer: 620a4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1632 = -577*u + 673*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 0*(-2)\/8 - -18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (28\/(-56))\/(2\/(-4*3)). Suppose 0 = r*p + 4*p - 161. Suppose 5*m - 122 - p = 0. Solve -5*b + m - 1 = 2*w, 2*b + 2*w - 16 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*o = -w + 16, -62 = -5*w - 2*o. Let a(n) = -22*n. Let c be a(2). Does 27 divide (-1)\/(w\/21)*c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5138 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117 + 7*c**5 - 117 - 5*c wrt c?\nAnswer: 140*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/15 + 948*x**2\/5 + 55296*x - 44826624\/5.\nAnswer: 2*(x - 114)*(x + 768)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*y - 8, 0*y = 3*y - 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031287 take away -679?\nAnswer: -3030608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -35*w + 595. What is s(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 73840 divided by 1\nAnswer: 73840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*h - 5*z = -203*h + 4819, 0 = 4*h + 2*z - 19298. Calculate the smallest common multiple of 4 and h.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11429.2*-0.96.\nAnswer: 10972.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 383778 and 2266.\nAnswer: 4221558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w**2 - 3*w**2 - 12*w**2 + 9*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 51 + 5 = 0. Solve 5*f - 3*b = 22, 5*f = 6*b - l*b + 23 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52622*t**2 - 183217?\nAnswer: 105244*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12548\/3 - -4183. Let u = 21 - 17. Sort z, -60, u in descending order.\nAnswer: u, z, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((-2*sqrt(304) + 2)**2 - (sqrt(304) - 4*sqrt(304)*-2)**2) + 4)*6.\nAnswer: -140396 - 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23297.459 and -7802.\nAnswer: 15495.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 24*z + 9828 = 0. Is 27 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -458, -985, -1718?\nAnswer: -2657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -534675330 divided by -45\nAnswer: 11881674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2209 divide 910659957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10720 - -60?\nAnswer: 10780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29110 = 2*s - 29104 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.2 (b) 6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 7*j - 8. Let n(o) be the first derivative of 16 + 7*o - 8 + 7*o**2 - 10*o**2 - 12. What is 5*i(q) + 6*n(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 236\/3 + 2\/6. Suppose 3*k = x + 2*k - 31, -h = -3*x - 4*k. Calculate the remainder when x is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743044672 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2573 and -1.207.\nAnswer: 0.3105611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/7 + 844282*n**3\/7 + 89194730948*n**2\/7 + 19670445394560*n\/7 - 39697676467200\/7 = 0. Calculate n.\nAnswer: -210960, -223, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7888 and 19856?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387.\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 49 = 21. What is the highest common divisor of n and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 x when two letters picked without replacement from rkikrwwxkkrkww?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12524 and 5252.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 + 0*s**3 - s**3)*(0*s**2 + 0*s**2 + 3*s**2)*(-2 + 4 + 0).\nAnswer: 12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 22 = 12. Suppose a*q = 5*q + 820. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29140 * -2.5.\nAnswer: -72850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*n - 189 - 63 = 40. Let p(l) = l**2 - l + 1. Let h be p(2). Calculate the greatest common factor of n and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68.4 - 32.1. Let a = 36 - x. What is the smallest value in -10, 4, 3, a?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**4\/4 + 8*t**3\/3 + 13*t**2\/2 + 12*t + 179. Determine q(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 11888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/3)\/(2 - 3))\/(270\/1053).\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1079946*k**2 - 26 + 14 + 12.\nAnswer: 1079946*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.76 + -10.76. Which is the closest to 2? (a) -0.5 (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 3. Let z(i) = -3*i - 9. Let t(m) = 7*y(m) - 2*z(m). Let r be t(-4). Is 14 a factor of -3*(r - (-62)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5944300?\nAnswer: 2, 5, 59443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4483566m to micrometers.\nAnswer: 448356.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 109*d**3 - 3*d**2 + 5*d + 8. Calculate g(-1).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3*5\/(-15)*2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*r + 22154 - 23092 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 14*o**3 - 3*o**2 - 3*o + 11. Let w(y) = -y**3 + y**2 + y - 1. Let b(x) = g(x) + 3*w(x). What is the derivative of b(z) wrt z?\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**2 + 8*j + 4. Let p(g) = g**3 - g**2 + g - 2. Let b be p(2). Let q be t(b). Suppose 40 = 4*z + q*z. Put z, -2, 2 in decreasing order.\nAnswer: z, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -631, -1241, -1829, -2389, -2915?\nAnswer: -3401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d = 61836 + 29258. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-14)\/(-5))\/(-1 + (-66)\/(-65))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 57\/(-285) - 52\/(-10). Suppose 5*n = -3*z + 3, -5*n + 4*z - 2 = 2*z. What is the nearest to 0.1 in b, n, -5, 14?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 2*u = -11*x + 3173, -4*u = -4*x + 12668. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 34\/(-119) - (-44)\/(-42). Which is the smallest value? (a) -2\/3 (b) i (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-2)\/198)\/(2162\/23782)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 2*q**2 - q + 1. Let k = 82 + -80. Calculate r(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - (-21)\/(-3))\/1. Let b = c + 24. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -5*a**2 - a + 3. Suppose 8*k - 9*k = -1. Determine p(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) - (sqrt(360) + 6*sqrt(360)*-2 + sqrt(360) - sqrt(360)))*-2)\/(sqrt(8)*2*2 + (sqrt(800) - (sqrt(800) + sqrt(800)*-2 - sqrt(800))))*3.\nAnswer: -108*sqrt(5)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tl when two letters picked without replacement from lkttk.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3586 or -125562\/35?\nAnswer: -125562\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.08 - -0.08. Put 4\/5, -1\/7, 6, i in descending order.\nAnswer: 6, 4\/5, -1\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182338725 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-2 + (3 - 0)). Suppose 4*a - p = -45, -3*a - s*p - 10 = -a. Let q be 20\/6*(-18)\/a. Is q at most 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018885 rounded to four dps?\nAnswer: 0.0189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/48 and 41\/22?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 666400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**3\/5 + 36*c**2\/5 + 16*c + 48\/5 = 0?\nAnswer: -6, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**7\/p**(-5\/3))**(-6\/7))**(-1\/3) assuming p is positive.\nAnswer: p**(52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = r + 2*r. Let d = 19 + r. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.1. Let w = -1.4 + 1.5. Let g be (6\/4 + -1)*(-35 + 36). What is the closest to g in u, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 404 - 407. What is the biggest value in 0.04, -11\/6, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and 0.018.\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(504)*-3 - sqrt(14))\/(sqrt(7) - (-4*sqrt(1008) - sqrt(1008))).\nAnswer: -38*sqrt(2)\/61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10282, 10278, 10276, 10276, 10278?\n\"Answer: v**2 - 7*v + 10288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*r - 3. Suppose -15 = -2*q + 3*z - 0, -5*z - 15 = 0. Suppose -r*h = q*x - 21, 2 = -5*h - x + 22. Solve 3*l + g = 1 + 8, -2*g + h = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 10. Let a be g\/4*7*8. Suppose -4 = -m - 4*h + 54, 0 = m + 3*h - 54. Calculate the greatest common divisor of m and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19 and 2299.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2123 = 402*u + 21718 + 1485 for u.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*r + 29. Let n = -5 + r. Suppose 7*h - n*h = 60. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = y - 7, -2*g - 11*y = -13*y - 6. Solve 2*d - g*a + 14 = 0, -3*d + 3*a + 17 = 5*a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -5. Suppose u = j + j. Suppose d - 3*d = j. Sort 3, -1\/9, d.\nAnswer: -1\/9, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-1)*78\/(-455)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 1:06 PM?\nAnswer: 11:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4524\/117)\/(-58) - (-660)\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 11.1. Which is the smallest value? (a) m (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-11))\/((-33)\/132*(-8)\/(-94))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 739067289 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 2\/89, 0.3, -0.5, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from {u: 2, w: 3, b: 2, m: 8, j: 5}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-792)\/(-28413))\/(84\/49).\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22*45\/(-20) + -8)*2. Is 327\/4 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -3)*(1 - -4). Let x = 1 - h. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3 = 1. Let t be g\/2 - (-3)\/(-6). Let w(n) = n + 21. Let c be w(-17). Solve 5*o + 15 = -z, c*o = 5*z - t*o - 41 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -36. What is the lowest common multiple of t and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 8 = 4. Let q = 31 - m. What is the remainder when q is divided by (18 - 0)*2\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.52 + 6.72. What is the nearest to 0 in -2, -1.6, r, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13 - (60\/10 - (-1 + 4)). Solve -h*j + 25 + 25 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x = 6. Let l(v) = -5*v**2 + v**2 - x + 3. Determine l(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 984*q**3 + 2*q**2 + 5*q + 6. Let u(j) = -2952*j**3 - 6*j**2 - 14*j - 17. Let a(w) = -17*p(w) - 6*u(w). Is a(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4\/(-62) - ((-2522784)\/1023 - -10) and 32?\nAnswer: 9824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 4*z**2 - 2*z - 5. Let v be h(-4). Suppose -8 = -v*q - q. Suppose -q*s + 2*i = -16, 4*s - 26 = 4*i - 3*i. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and -284.55.\nAnswer: 1991.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52\/11 + 397\/77. Let q = 47.0896 + 0.0104. Let l = -47.2 + q. What is the second biggest value in -1.6, y, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 4*b - 19, 31*b - 124 = a + 6*b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 310 and 20?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.04142 nanoseconds in seconds?\nAnswer: 0.00000005604142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 114 + -8?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59176, 118093, 176496, 234127, 290728?\n\"Answer: -43*f**3 + f**2 + 59215*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 53*i - 236. Let v = -135 + 126. Let k(c) = c**3 - c**2 - c + 1. Let r be k(2). Sort v, r, i.\nAnswer: v, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 32 = 32 + 10 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {c: 1, u: 1, e: 2, y: 1, w: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o**3 - 3*o**2 - o - 4. Give k(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96 - 88 - 25*y - 34 + 218.\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 207 + (7 - 1)\/2. What is the highest common divisor of 126 and u?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -13 + 26 - 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000017633 to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 47505.2 to the nearest 1000.\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*c**2 - 36*c**2 + 10*c**2)*(-39 - 7*c + 39 + (-1 - 1 + 3)*(1 - 2*c - 1)) - 2*c**2 - 2*c**3 + 2*c**2.\nAnswer: 754*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(6\/7)*w)**(3\/2)\/(w\/(w**2\/w)*w*w*w**(-33)) assuming w is positive.\nAnswer: w**(515\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6670 and 505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 299 + 115. Let t = 413.9997276 - c. What is t rounded to 5 decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -554, -1257, -2242, -3509, -5058, -6889?\nAnswer: -9002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*o**3 + 95*o**3 - 31*o**3 - 20*o**3 - 16*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-12))\/(17430\/(-1660))*15.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1*(-14)\/24*(-58)\/49 and 19\/(-323) - (-223)\/34?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*n + 16, 3*j = -3*n + 4*n - 4. Let p be (-1 + 0)\/(j - -4). Let u be p + 1 + -2 + 10. What is the greatest common divisor of u and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -0.6. Let n = -7513 - -22541\/3. Which is the closest to 0.1? (a) n (b) r (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + 0. Suppose 5*t - 84 = 16. What is the highest common divisor of s and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/248075256 and 139\/312.\nAnswer: 248075256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -307794 times 4\nAnswer: -1231176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110111000 + -100010?\nAnswer: -1111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, x: 5, h: 1, s: 1, f: 6}. What is prob of sequence rx?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 f when two letters picked without replacement from qfoaqyuy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 574, 1995, 4764, 9331, 16146, 25659?\nAnswer: 38320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 42*u + 431. What is q(-8)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h - h - 1 - 5*h. Calculate g(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -27938, -55881, -83824?\n\"Answer: -27943*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16434 and 21912?\nAnswer: 65736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3939738321?\nAnswer: 3, 17, 77249771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 1 - 1)*(0*u - u**2 + 0*u)*(-2240 + 74*u + 2240)*(5 - 4 + 0).\nAnswer: -74*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2055, -4139, -6225, -8313, -10403, -12495, -14589?\nAnswer: -16685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2787038 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: In base 15, what is -146 + 83?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90636800*o**4 + 37155474*o wrt o?\nAnswer: -1087641600*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 - 2*b - 2. Let k(u) = -4*u**2 + 4*u + 4. Let a(m) = -22*m + 1. Let f be a(-2). Let y = -32 + f. Calculate y*z(h) + 6*k(h).\nAnswer: 2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3491, -3501, -3511, -3521, -3531?\nAnswer: -3541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58749 + -116829. Round t to the nearest 1000.\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 162 = s, -2*h - 4*s + 72 = -h. Is h a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 6*k + 7. Let r = 60 + -68. Give m(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - (5 - 5) - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5 = 17. Suppose 3*s - 111 + 39 = -5*g, s = g - 16. Suppose p = z - 4 + g, w*p + 2*z = 13. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2446 (base 9) to base 12.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by 1.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**8\/42 - b**4\/4 + 7*b**2\/2 - 4*b. Let v(i) be the first derivative of d(i). What is the second derivative of v(f) wrt f?\nAnswer: -160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*f + 386*f - 5035 = 0 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 22 = j + j, 0 = -4*j + 12. Suppose 5351 = -2*y + 3*m - 1686, -t*y + 4*m = 14076. Round y to the nearest one hundred.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36.6 and 0.1.\nAnswer: -3.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (226\/4)\/((-7)\/(-70)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - -21223302330?\nAnswer: 21223303101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.96827458 rounded to 4 decimal places?\nAnswer: 1.9683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-15) - (-9 - (-259)\/35). Which is smaller: -1\/658 or f?\nAnswer: -1\/658","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62 + (3 - -4) + (-9 + 18 - 6)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34091 - 34091 - 327*d to x + w*d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 15, 0 = -4*p - 3*g + 2 + 9 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 = -2*l - 11, l + 3*s = 16. Let y be (-1)\/(-9) + (-37383)\/328185. Which is greater: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386123191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53839\/10 - 5384. Which is the fourth smallest value? (a) -0.3 (b) -0.2 (c) -10\/17 (d) 3 (e) m\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d**(-3)\/d)))**32*(d**(2\/15)\/d)\/(d**(-10)\/d) assuming d is positive.\nAnswer: d**(-1768\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2. Let x(o) = 3*o - 5. Let h be x(3). Suppose 30 = 5*r + h*a, 0*a + 15 = 3*a. Let m(w) = -w**2 + 3*w**2 - 6*w**2 + 9*w**r. What is q(m(z))?\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -62. Solve 0 = 4*x - 3*g - 8, 4*g + z = -2*x - 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-706 + 976 + 1979)*(-2*u + u + 3*u) to the form y*u + n and give y.\nAnswer: 4498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.8 - 5.3. Let g = -141\/194 + 22\/97. Let m = 1.5 - -0.5. Which is the second biggest value? (a) m (b) 0 (c) j (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*a + 8490 = 0, 6*t - t + 8502 = a. What is the units digit of 3\/12 - t\/28?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 66b + -5?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 47fd + 43f1?\nAnswer: 8bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 - 74. Let u = -1294.8 - -1294. What is the fourth biggest value in 0.5, -0.1, u, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 803195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 13*q + 15*q - 1834 = 0, 4*n = -5*q + 2457. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 1178805628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-28)\/(3 - 1). Let r(m) = 2*m - 27. Let q be r(w). Let y be q\/(-2)*6\/5. Solve -y*n - 4 + 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 63 + 35. Let u = j - 99. What is the closest to -2 in u, -9, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1154 - -1155. Let y = 0.8 - 0.3. Put y, 4\/3, c in ascending order.\nAnswer: y, c, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 12, 2*f - 3 = -3*g + 2. What is the highest common factor of 1 and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -1) + -1 + -18. Let n(h) = 37*h + 37. Let v(d) = -13*d - 13. Let l(s) = -6*n(s) - 17*v(s). Let f(x) = -10*x - 8. Determine q*l(u) + 2*f(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 46. Let t = d + 35.46. Let f = t + 9.64. What is f rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152888 is divided by 1513.\nAnswer: 1495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)\/(w\/w**(2\/25)))**10)**(-23) assuming w is positive.\nAnswer: w**(5474\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12*w**3 + 68*w**2 - 219*w + 546. Determine r(5).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*o - 3*o - 2*o + (-3*o + 0*o + 4*o)*(1 + 0 + 0) - 466*o + 137022 - 137022)*(2*o + 3*o - 4*o) as k + x*o**2 + m*o and give x.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -599696.149398 - -3640496.549509. Let v = -3040818.4 + t. Let y = 18 + v. Round y to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -6*w + 3*w + w - w - 7. Let i be l(-9). What is the common denominator of 93\/4 and 171\/i + 3\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-840)\/16)*-5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3 + sqrt(125) + (sqrt(125) - (-1 + sqrt(125))) + sqrt(125) + sqrt(125) + (5 + sqrt(125) + 2 + sqrt(125) - sqrt(125)))**2.\nAnswer: 440*sqrt(5) + 2120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 7. Let m(a) = -4*a - 20. Let b(h) = -2. Let u(c) = -22*b(c) + 2*m(c). Let l be u(o). What is l rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000342759301 to seven decimal places.\nAnswer: 0.0000343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1947*a - 3682*a = 2470*a - 201840 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - c**2 - c**2 - 4*c**2 - c**2 + 3*c**2 + (-c - 2*c + c)*(-2 + 2 + 2*c) + 0*c**2 - c**2 + 2*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**6\/40 + 149*b**5\/20 + 160*b**2 - 1. Determine y so that k(y) = 0.\nAnswer: -149, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 1808\nAnswer: -13\/904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u + 4. Let h be (-1 - -2)\/((-6)\/7 + 1). Suppose h*g - 13*g + 12 = 0. Let z be (2\/1)\/g - -4. Let f(o) = 2*o - 3. What is z*f(p) + 4*l(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 2293*i**2 - 6879*i + 20. Calculate m(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 29 + 1. What is the third derivative of -s**3 + 1 + 32*s**2 + 115*s**w + 2*s**2 - 41*s**4 wrt s?\nAnswer: 1776*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1283 (base 14) to base 2\nAnswer: 110010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 51 + 74. Suppose l = -x + v, 23 = -5*x - l + 128. What is the remainder when 37 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136581 is divided by 686?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(27) - sqrt(27)*1) + 5)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 12753*q + 127531. Calculate y(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000149019 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 7. What is the second derivative of -6*d**z + 2*d**2 + 2*d**2 - d wrt d?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**2 + 3*y - 2. Let p = 57 - 55. Let x(w) = 2 - 6*w**p + w**2 - 4 + 3*w + w. What is -6*t(a) + 5*x(a)?\nAnswer: -a**2 + 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, -10, -20, 2\/7, -6?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1342, -3425, -6842, -11593, -17678?\n\"Answer: -667*l**2 - 82*l - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 663 or 0.1?\nAnswer: 663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttatttatattt. What is prob of sequence ta?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence db when two letters picked without replacement from msssbmmsmmsbddmmm?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 759839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 84, 101, 142, 219, 344, 529, 786, 1127?\n\"Answer: 2*b**3 + 3*b + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 12*n**2 - 9*n + 6. Let s be y(-12). Let u be 3\/7 + s\/(-21). Let d(v) = -2*v + 2*v - 2 - 2*v. What is d(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -496 (base 10) in base 5?\nAnswer: -3441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -762751 (base 8) in base 13?\nAnswer: -8c382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78988 divided by -1612.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1664*u + 1583*u - 6462*u + 1554*u + 1660*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 169*a**2 - 195*a**2 + 308 - 2*a**3 - 36*a - 307 in the form q*a**3 + b*a**2 + n*a + r and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*f - 89726, 0 = -f - 1 - 2. Suppose -m + 5982 = -a, -6*a = 3*m - 7*a - o. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 50, 0.2, 169, -1\/3, -0.9 in ascending order.\nAnswer: -0.9, -1\/3, -0.3, 0.2, 50, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r + 14. Suppose -5*s = 15, -k = 34*s - 30*s + 16. Let z(d) = -d - 4. Let v(l) = k*x(l) - 11*z(l). Calculate v(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/12 and 3\/(-6)*-21*5\/50.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 866953 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s - 3 = -10*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 213827710 to the nearest one hundred thousand.\nAnswer: 213800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 26910 divided by 138?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(637) - (4*(-2 + sqrt(637) + sqrt(637)) + sqrt(637))) + 0)*4)**2 - (-3 + (sqrt(104) + sqrt(104)*3)\/sqrt(8) + sqrt(39)\/(sqrt(18)\/sqrt(6))).\nAnswer: -14341*sqrt(13) + 653315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**3 - 75*o**2 - 1875*o - 241. Factor l(r).\nAnswer: -3*(r + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1000548?\nAnswer: -1\/250137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(((-100)\/10)\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 122232*l**2 + 244485*l**2 - 122253*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4033 and 30809395?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 281*d - 537*d + 272*d - 144 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 2\/5, 295, 2852?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29073*x + 64*x**2 + 29073*x.\nAnswer: 64*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*v = 11728 - 886 for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 544 = 2*c - c - 5*j, -5*c + 2605 = -2*j. Suppose 59*d - 111 - 66 = 0. Suppose d*x + 4*a - 782 = 0, -4*x + 4*a + c = -533. Is x a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359 + 395 = 6*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2 = 5*h, -4*q - 5*h + 26 = -8*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 10) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 26501866 - 26501866.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 5881, 23 in descending order.\nAnswer: 5881, 23, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40 + -29.5. Let z = n + 69. Which is the smallest value? (a) 0 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 4 + -4 + (-7 - (-23 + 8))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102038449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20422*t**5 - 121*t**2 + 98*t.\nAnswer: -1225320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58851798 to the nearest integer?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -65\/3. Let w = 0.3 + -0.7. What is the nearest to -2 in j, 3\/5, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-11 - -2) - 4. Solve -4*v + p + 6 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -262\/335?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -0.20427199.\nAnswer: 0.122563194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 267838\/(-3)*(7\/(-42)*0 + -3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, z: 4, d: 9}. Give prob of sequence bzdd.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 37032 and 66.\nAnswer: 407352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/7, 0.4, -6, 4, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*u = 14, 3*i - u = 2*u + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6\/7)\/c*c\/c**14)**(-13))**23 assuming c is positive.\nAnswer: c**(31096\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13018?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6169.842l in millilitres?\nAnswer: 6169842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/6 - (-6 + 4 - -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2520437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173491 is divided by 3096?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 7*p - 51. Let a = -163 + 170. Is h(a) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -399, 854, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 13*r - 9. Let i = 33 - 19. Let t be s(i). Differentiate 4*c**3 + 4 - t*c**3 + 4*c**3 with respect to c.\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 5*y - 1435, 2*y + 1443 = -k + 5*y. Let d = k - -2292. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) - (-92)\/(-69) - -4. Let s(d) = 4*d**3 - 3*d**2 - 2*d + 1. Let u(b) = -3*b**3 + 2*b**2 + 2*b. Give m*s(w) + 3*u(w).\nAnswer: -w**3 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 - 0.3. Let z = -460357 + 460356.94. Which is the biggest value? (a) 2 (b) z (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 - 6*a)*(2*a + 2 - 5*a + 5*a) as o + j*a + h*a**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80240 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 22. Suppose r*k - 12 = -4*j, -21 = -4*k + j - 5. Solve -k*d + 25 = -9*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.49 less than 141585704280?\nAnswer: 141585704269.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 1 + (-34)\/12. Let z = 3\/2 + r. Let k = 11\/2 + -6. What is the third smallest value in k, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668314971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -566.20054 - 4.55846. Let m = j + 571. What is m rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(2\/9)*f))\/f*f*(f*f**(1\/2))\/f)**(-8)*(f**(-2\/9)\/(f**(1\/7)\/f))\/(f**(2\/3))**(27\/5) assuming f is positive.\nAnswer: f**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**8\/168 - i**5\/60 + 6*i**2. What is the third derivative of g(d) wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 13 + 3. Suppose r = -0*l + 2*l. Solve l*o = 0, -i = 6*o - 5*o - 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4202 and 11952886.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 929425\/54 + -17211. Let h = 2\/27 - y. Let o = h + 1. Which is the third biggest value? (a) o (b) -2\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*m - 8099 = 47*m. Let l = m + -668. List the prime factors of l.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -72, -81, -92, -105, -120?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 817 = 3*l - f + 827, 0 = -3*l - 2*f - 25. Sort l, 132, 5, -1 in decreasing order.\nAnswer: 132, 5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 c when three letters picked without replacement from {s: 1, u: 5, j: 3, z: 5, c: 4, w: 2}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 - 4 - h - 2*h**4 + 5 - 2*h to o*h**4 + r*h**2 + a*h + q*h**3 + g and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l**2 + 3*l**2 + 0*l**2)*(-34*l**2 - 50*l + 50*l) in the form d*l + i*l**4 + c + r*l**3 + a*l**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z - 42 = -90. Let j(g) = -1247*g**2 + 87*g + 87. Let x(d) = -29*d**2 + 2*d + 2. Calculate z*j(s) + 87*x(s).\nAnswer: -29*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 681*x - 681. Let y be j(1). Solve 28*a - 9*a + 22*a = y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 69*c**3 + 103*c**2 - 22*c - 10. Determine r(-2).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -35948 divided by 19\nAnswer: -1892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 892, 1577, 2260, 2941?\n\"Answer: -t**2 + 688*t + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3628, 19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103402.\nAnswer: 2, 13, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -207 + 508. Let a = m + -130. Calculate the greatest common divisor of 19 and a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 550\/825*-18*((-1)\/(-10))\/(26\/(-2015)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 - 53*v\/3 - 182.\nAnswer: -(v + 14)*(v + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4865157*q - 1296 = 4865076*q for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/30)\/((-1)\/20). Let v be s + 9 + 0 - 2\/(-2). Differentiate -4 - 18*t**3 - 34 + 4 + v with respect to t.\nAnswer: -54*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 11 + 2)*(7*w**5 - 2*w**5 + 7*w**5).\nAnswer: 132*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 5*o - 3. Let y be k(-6). Suppose 5 = y*j - 5*m, -1 + 6 = j - 5*m. Let f(n) = -n - 3. Let t be f(-5). Solve -t*r + 4 + 4 = j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 j when three letters picked without replacement from {s: 3, h: 11, j: 4}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.29, -1, 10, -5, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:42 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37764243 and 265599.\nAnswer: 9837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22695428.\nAnswer: 2, 7, 115793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -1001011111111001001010?\nAnswer: 1001011111111001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 12*y + 4. Let j be h(-11). Let i = 10 + j. Suppose 2 = i*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: Calculate 24252 divided by -172.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14a (base 14) to base 16\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108701 + 240984. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 1262650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 25. Suppose 0 = l*k - 211 - 319. Suppose 5*v - k = 5*a, 2*v = 2*a + a + 105. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 7\/6*t**3 + 1\/6*t**4 + 0 + 20*t**2 - 3*t. What is the derivative of u(d) wrt d?\nAnswer: 4*d + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2937 divided by 10\nAnswer: 2937\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64237 is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*n + 2*n + 24, v = 5*n - 30. Suppose l - 6*m = -m - 18, 0 = -3*l + 3*m + n. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((59 - 93 + 80)*(3*k**3 - 4 + 4 + (-3*k + 3*k - 2*k)*(k**2 + 3*k**2 - 2*k**2)) - k**3 + 5*k**3 - 3*k**3)*(6 - 3 - 5 + 2*k).\nAnswer: -90*k**4 + 90*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*t = -4, -2*t - 1 = -p + 9. Suppose 4*x + s - 361 = -42, -5*s = p*x - 173. Let l = -111\/2 + x. Calculate the common denominator of l and 70\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -6, 0.3, -43, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -303315313 - 1?\nAnswer: -303315314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*-254*3\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*q**3 + 15*q**3 + 21*q**3 + 27*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 27?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three halves of a kilometer?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 80*c - 5 - 77*c to the form q + g*c and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 3*i + 3, -5*i = -4*i + 3*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 4*c - 53. Give l(30).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o - 7. Let a(g) = -14*g + 21. Let w(t) = -6*a(t) - 17*r(t). Let j(u) = -u**2 + 2*u - 7. Let q be j(3). Let n be w(q). Round n to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4083*y - 44939. Determine l(-11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -6*u - 5. Calculate the remainder when 81 is divided by y(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125483? (a) 52 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14842839*z**5 - 356*z**2 - 113*z + 24 wrt z.\nAnswer: 890570340*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + 31*g**2 + 29*g + 793. Calculate h(35).\nAnswer: -3092","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + l + 2. Let w be g(5). Suppose 0 = w*q + 77 - 653. Solve 0 = -17*a + q*a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 + 5*n + 1. Let d(u) = u**2 - 4*u - 2. Let x(s) = 7*d(s) + 6*t(s). Let r(c) = c**2 + c + 1. Let w(f) = 4*r(f) + x(f). Calculate w(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-116)\/6)\/(((-14)\/(-6))\/(12369\/(-1767))).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(((2*sqrt(325) + -3 - sqrt(325))*5 - (2*sqrt(325) + 1)*-2)**2 + 4)*4.\nAnswer: -28080*sqrt(13) + 635953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*o - 2*o - o)*(7*o + 2*o**2 - 10*o + 0*o**2 + 1)*(-4 + 2 + 0) to b*o**2 + m + v*o + d*o**3 and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 8 = 2*q + 5*i, -4*q = 2*i - 14. Find the common denominator of 59\/36 and q\/(-15) + (-1 - 392\/(-30)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 9*w**2 + 11*w + 29. Let v be k(-8). Let q(j) be the first derivative of 2 - v*j + 7\/2*j**2 - 2\/3*j**3. Give q(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 633 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 11:13 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9874 or 6222?\nAnswer: 6222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 91.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - 1. Let x = 402 + -388. Sort -2, x, h in ascending order.\nAnswer: h, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 1)*(-3*p + 3*p + 2*p + (p - 6*p + 3*p)*(-3 - 5 + 4)).\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l - 2186665*l**2 - 7*l - 2186633*l**2 + 4373299*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 2 + 2)*(3*b - 2*b**2 - 3*b) - 105*b**5 + 19*b**5 - 42*b**5 + (0*b**4 + 3*b**4 - 2*b**4)*(-2*b + b + 3*b).\nAnswer: -130*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**5\/60 - 3*f**4\/8 + 7*f**3\/6 + 4*f**2. Let h = 36 + -31. Suppose 4*q + 0*m - 17 = 5*m, -47 = -4*q - h*m. Determine c(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 726671, 726686, 726717, 726770, 726851, 726966, 727121, 727322?\n\"Answer: r**3 + 2*r**2 + 2*r + 726666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 + 1082381*a\/3 - 721588\/3.\nAnswer: (a + 721588)*(3*a - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 425? (a) -21 (b) 2\/7 (c) -5 (d) 204\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 10:00 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 8*s + 3. Let g be w(5). Suppose 0 = -29*k + 1113 - 185. Suppose o + k = g. Which is the second smallest value? (a) -1\/7 (b) o (c) -2\/9 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*p - 33 = -77*p. Suppose 2*t = p*l + 5, -3 = 2*l - 1. Solve -2*w - 9 = t for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, s: 5, j: 4, d: 1, m: 2}. Give prob of picking 3 s and 1 j.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6381 and 33.\nAnswer: 70191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8.68, -5, 2\/5, -5\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 155*k - 327*k + 160*k. Let l(u) be the second derivative of -u**3\/2 - 8*u. Determine -2*j(w) + 9*l(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-64))\/((-4)\/8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 6 = -0*b + 3*b, -4*c = 0. Differentiate -3*y**4 + 15*y**b - y**4 + 12 + 13*y**2 - 26*y**2 with respect to y.\nAnswer: -16*y**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 685*k**2 - 665*k - 20.\nAnswer: 5*(k - 1)*(137*k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -334? (a) -5687 (b) 2\/3 (c) 1 (d) -5 (e) -3 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(40950\/(-416)))\/(6 - ((-219)\/(-21) - 5))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 - 125?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/(-24) + 65\/20. Let z(d) = -4 - d + 7*d**q + 8 - 7*d - 9*d**2. Let p(v) = 4*v**2 + 17*v - 9. Calculate 6*p(k) + 13*z(k).\nAnswer: -2*k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:44 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2044 divided by -1022.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*f = 8. Let c be ((-1)\/1)\/((-10)\/f). Let s = 34\/33 + -15\/11. Sort s, c, 3\/4 in increasing order.\nAnswer: s, c, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**9*c)\/c)\/c)\/(c\/c**(2\/17)))**(5\/3)\/((c\/(c**(-4\/7)*c))\/(c**9*c))**(1\/6) assuming c is positive.\nAnswer: c**(4796\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 4*a - 9 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1.1. Let n = 131.19 + -9.99. Let o = n - 121. Sort 0, t, o in ascending order.\nAnswer: 0, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -10. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -49, -2, -29, 5 in decreasing order.\nAnswer: 5, -1, -2, -7, -29, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 7*b**2 - 10*b + 98. Give h(-7).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 40410.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276571 is divided by 16264?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*q + 4*i, 0*q + 3*i = 3*q - 15. Let f = 47 - 44. What is the third derivative of 3*d**3 - 6*d**2 - f*d**3 + 6*d**3 - q*d**3 wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34844254*y**2 + 34844263*y**2 - 69688508*y**2.\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, -6, -3.\nAnswer: -11, -6, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8923339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + 3\/2 - (-7380)\/24 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 781 + -781.00004108. Round l to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18378077, -36756163, -55134249, -73512335, -91890421?\nAnswer: -110268507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 403, 389, 375, 361, 347, 333?\n\"Answer: -14*c + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*p = 166, 4*y + 3*p = p + 134. Let z = 58 + -40. What is the remainder when y is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 680.4945 millilitres?\nAnswer: 0.6804945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1647 and 95\/122?\nAnswer: 3294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/5))**24\/(s**2)**33*((s**12*s)\/(s*s**(-10)))**(-4\/17) assuming s is positive.\nAnswer: s**(-6866\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -3) + 2*5*-2. Let u = k - -24. Suppose -5*g - 1 = 4, -g = -u*y + 17. Solve -y*n = -2*s + 12, 12 = 4*n + 3*s + s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 32*g - 2 + 2 + 2 - 48*g - 5. Determine i(-4).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*x = 100*x - 2 - 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a - 2. Let m(n) = -n**2 + 12*n - 11. Determine -m(x) + 5*q(x).\nAnswer: x**2 - 7*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 11 + 2045*t**3 - 2 - 2422*t**3.\nAnswer: -377*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (33\/18 - 2) + (-279)\/(-54). Suppose -37 = -g + 4*p, 54 - 12 = g - v*p. Calculate the remainder when 32 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 - (3 + 1 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -9962766?\nAnswer: 9962767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**6\/150 - r**5\/50 - r**4\/60 + r**3\/15 + 86*r - 76. Let u(q) be the first derivative of a(q). Determine w so that u(w) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -4*p - 12, 3*p = -0*p - 3*a + 9. Suppose 10 = 5*q - p. Suppose -b - 7 = -z + 3*b, -4*z = q*b - 10. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p. Let g(z) = -500*z. Determine w(g(k)).\nAnswer: 500*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {z: 5, r: 4, n: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 30.204294?\nAnswer: 31.204294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**2 + 4*d + 2. Let f be g(-1). Suppose 0 = f*j - 0*j - 5*n - 25, -5 = -5*j + n. Solve j*k = k - 2*s - 6, -2*k + 5*s = -15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 26. Give l(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-32)*-8*(-2 + 3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/45 - 23\/115.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8663*3.\nAnswer: -25989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -18 + 41. Suppose 4*k - 3*h - 124 = 0, -2*k + 85 = -5*h + r. What is the highest common factor of k and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 44*u**3 + 16*u**2 - 194*u. Let n(w) = 5*w**3 + 2*w**2. Determine -8*n(k) + r(k).\nAnswer: 4*k**3 - 194*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*c**4 + 2 - 99*c**2 - 6*c**2 - 2*c**3 - 78*c**2 wrt c.\nAnswer: 384*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/10 - 3\/5. Suppose -6*y - 8 = -14*y. Let u be -1 - 0 - c\/y. Is 1\/10 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -3371823?\nAnswer: -2\/3371823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 2, p: 2, k: 1}. What is prob of picking 1 p and 1 m?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 229*s - 226*s - 130, i - 5*s + 27 = -0*i - 13*s for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z = 46*z - 18 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.0422, 5.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -23 from -893.\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**5\/4 + 310645*t**4\/4 - 5900915*t**3\/4 + 28881015*t**2\/4 + 2096820*t - 37731825 = 0. What is t?\nAnswer: -2, 3, 9, 62110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -17649 + 17649 + 10*z**2 + 14*z**2. Let b(d) = 13*d**2. Determine b(s(c)).\nAnswer: 7488*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1)\/6*0\/1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 35038102 = 35038100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 216 = -5*s. Let r be (-4)\/(-10) - s\/(-15). Suppose -i + 5*a - 20 = -r*i, a = 4*i - 65. Solve d = -2*d - i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nllnlllllllnll. What is prob of sequence nl?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 259\/28 - (15\/12 - 1). What is the highest common factor of b and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 17*z**3 + 1551*z**2 - 25*z - 31. Let m(x) = -12*x**3 - 1033*x**2 + 17*x + 21. Let h(r) = -5*c(r) - 7*m(r). Find the second derivative of h(v) wrt v.\nAnswer: -6*v - 1048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 86190*k**3 + 424814 wrt k.\nAnswer: 258570*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -285 - -285.1. Which is the smallest value? (a) t (b) 21 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 2*i + 1. Suppose 0 = 4*f + 1 - 17. Let p be (f\/(-5))\/(10\/(-25)). Calculate o(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -116*d**2 - 306*d**3 + 233*d**2 - 117*d**2 + (d + 2*d - 2*d)*(d**2 + d**2 + 0*d**2) - 2*d**3 - d**3 + 7*d**3 + 2*d**3 - 2*d**3 - 2*d**3.\nAnswer: -302*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120.8 + -138. Let c = v + 17.21208. Round c to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a2ab01 - -7?\nAnswer: a2ab08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -73 - -73. Suppose -7*s = -l*s - 56. What is the greatest common divisor of s and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15930*-108.2.\nAnswer: -1723626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -7. Suppose -h - 32 = -5*y. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -153, 4, 1130 in descending order.\nAnswer: 1130, 4, -153","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 20 - 2 = -3*y, -5*y = l + 18. Let i(r) = r**3 - r - 5. Let o be i(0). Sort 3, y, o.\nAnswer: o, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*h = -h - 90 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22131822 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 + 216?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*u - 83*u = 22 - 106 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7087 - 8001 + 13993)*(0*i + i - 2 + i).\nAnswer: -2190*i + 2190","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7184978?\nAnswer: 2, 83, 43283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36475 is divided by 2795.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 28, 45, 78, 133, 216, 333, 490?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 14*q**3 + 69*q**2 - 81*q + 12. Calculate g(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i*v**3 - 11*i*v**2 - i - 84*v**6 + 27 wrt v.\nAnswer: -30*i - 10080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156 - 121 = 7*r. Sort 2, -5, -4, r.\nAnswer: -5, -4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38096752 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 8*y**2 + 4*y - 2. Let i be z(-7). Suppose -5*m + 6*m = -i. Let b = 50 - m. What are the prime factors of b?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let d be ((-32)\/2)\/(j\/(-10)). Suppose 0 = 4*g + u - 78, -g + 74 = 3*g + 3*u. Calculate the greatest common divisor of d and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/24 and 77\/1380?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34 - 0?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 5:25 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c - 468 = -c. Let o = c - -42. Let m(g) = -2*g**2 + 2*g + 1. Let f(a) = 2*a**2 - 2*a - 1. Suppose 0 = 3*p - 5*p + 10. Calculate o*f(w) + p*m(w).\nAnswer: 2*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -2\/14945, 0.5, -8 in increasing order.\nAnswer: -86, -8, -2\/14945, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -19, 4, -9, -4, -1788.\nAnswer: -1788, -19, -13, -9, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23330 or -23329?\nAnswer: -23330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12849 is divided by 419?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 542171, 542167, 542161, 542153, 542143, 542131, 542117?\n\"Answer: -i**2 - i + 542173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-55)\/((-1980)\/(-48)))\/((-4)\/6). Solve -2*v = x*s + 18, -3*v = 2*s - 8 + 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10\/9 in -10, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33 - -12) + (-44 - 12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-6))\/((-171)\/(-228)*8\/(-45))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8164 + s**2 - 4856*s**3 + 7*s - 8*s + 8453 wrt s?\nAnswer: -29136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2051780 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 z when four letters picked without replacement from {e: 11, h: 1, z: 6}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(-2\/5)))**(-8))**(-17)*(b**(-3\/4)\/(b\/b**(3\/7)))\/(b**(1\/6)*b**(2\/7)) assuming b is positive.\nAnswer: b**(-23593\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 2641.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 87802 and 27016.\nAnswer: 351208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3626057?\nAnswer: 113, 32089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32600446693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/18)\/(1\/612). Let x = -305 + q. What is the smallest common multiple of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181201192.\nAnswer: 2, 1277, 17737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 3, 5 in decreasing order.\nAnswer: 5, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -116, 83, 0.4, 1\/4, -2, -0.03?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2. Let y be (-1)\/((-2)\/(-20))*18\/(-45). Suppose -20 = -2*j + y. Let t(v) = -4*v**2 + 29*v**2 - 6*v**2 - j*v**2. Determine g(t(r)).\nAnswer: 49*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 3\/2 (c) -144\/5 (d) -0.1 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 314 + 2?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 18493445.63 to the nearest 10000.\nAnswer: 18490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*b**2 - 349*b**2 + 5*b**2 - 21*b**2.\nAnswer: -35*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 1. Let o(m) = -7*m**2 - 31*m**2 - 24 + 26*m**2. Calculate 24*l(d) + o(d).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 401110012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11000010 - 12200020000?\nAnswer: -12112012220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 23.518.\nAnswer: -1.88144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6443 = 5*h + 1318. Suppose 2*u - h = -5*q, -2*q - 115 = 5*u - 504. What are the prime factors of q?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -w + 2*g + 9, -3*g - 16 = w. Let b(l) = -l**2 - 1 - 10*l - 16*l + 25*l + 2. Let h(d) = -d**2 + d - 1. What is w*h(x) - b(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/7 - 36902*k - 1291520\/7.\nAnswer: -2*(k + 5)*(k + 129152)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 + 2) - (-13 - -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 864545 is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-10 + 1 - -2 - -16) + -4 + 4).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*r**2 - 4 - 22*r**2 + 5 - 1.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, h: 2}. What is prob of picking 2 b and 1 h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/3)\/(2\/282). Suppose 8*f = -10*f - 450. Let x be f + 66 + 14\/2. Which is greater: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -466441 and -987656?\nAnswer: 521215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/3 + 2*p**2 - 8*p + 1. What is the tens digit of x(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1980983611?\nAnswer: 2689, 736699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*t + 3*t - 200 = 0, -3*p + 150 = t. What is the greatest common factor of p and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = 6*m - 79. Suppose -2*f + 9 = -5*r - 3, -f - 4 = 0. Put r, m, 2 in descending order.\nAnswer: m, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(2\/5)\/u)\/u)\/u)\/(u**10*u)*(u*u**(-3))\/(u**(-6)\/u))**(3\/34) assuming u is positive.\nAnswer: u**(-129\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -502\/9. What is the second biggest value in 0.1, m, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - s - 4)*(-4*s - s**2 + 4*s) + 884*s**2 + 1001*s**3 - 884*s**2 to the form b + c*s**3 + q*s + f*s**2 and give c.\nAnswer: 1002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21650 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2753 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 - 16224*j**2 + 113340*j + 129568 = 0 for j.\nAnswer: -1, 8, 4049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -10*v - 6*v + 512. Solve -v = -5*j - 21 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -144 - -82. Let d = -21656.29968 + 21594.3. Let y = d - z. What is y rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 9:53 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*s**3*y**3*z - 82*s**3*y + 2596*s**3*z**5 - 90*s**3*z**2 + 2*s*y*z + 4609*y**3*z**3 - 9*y**3*z**2 wrt z.\nAnswer: 155760*s**3*z**2 + 27654*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wppw when four letters picked without replacement from jjwcijicjppwjjsjsjc.\nAnswer: 1\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 133107363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 4. Suppose 5*k + 3*q - 25 = 0, 2*q + 0 - 10 = 0. Let t be a(k). Which is greater: t or 40\/3?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7396 in 5\/3, -12, -2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0727178 - -0.1\nAnswer: 0.0272822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 + -9*(-2)\/6 + 96 and 160.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14308\/(-70))\/(((-2)\/15)\/((-42)\/63)). Let i(y) = -538*y + 5. Let r be i(-4). Let s = r + o. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 - (1396 - 1376)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zq when two letters picked without replacement from {k: 4, f: 3, q: 3, e: 7, z: 1}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 3\/5, -1\/4, 1.423, 11, 1\/3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8050, -7831, -7458, -6925, -6226?\n\"Answer: m**3 + 71*m**2 - m - 8121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 3007081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -4. Calculate the remainder when 33 is divided by (-48)\/(-20)*10\/b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -29*p**2 + 74*p. Let b(j) = 12*j**2 - 38*j. Calculate -13*b(i) - 6*l(i).\nAnswer: 18*i**2 + 50*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3890.\nAnswer: 2, 5, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 8*m + 18150. Let g be i(0). Round g to the nearest one hundred.\nAnswer: 18200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 10802.72.\nAnswer: -4321.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -372 + -5297?\nAnswer: -5649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 - z**2 - 3*z**3 + 4*z**3 + 10 to the form x*z**3 + s + q*z**2 + a*z and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16389.\nAnswer: 3, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 7*b + 2*b = 12, b = 0. Let o be 6\/18 - 10\/x. Find the third derivative of 8*l**4 - 11*l**o + 20*l**2 + 7*l**2 wrt l.\nAnswer: 192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -11*f**2. Suppose 4*i = -i + 30. Let p(v) = -155*v**2. Let z(m) = i*p(m) - 85*x(m). Let b(q) = 2*q. Determine b(z(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*y - 8 = 0, 0 = -o - 2*y - 3 + 1. Put -4, o, 1 in ascending order.\nAnswer: -4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 242895790?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6971 and 46.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = -0*i + 64. Solve -2*b - i = -2*d - 0, -3*b - 6 = d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -5*u**2 - 85*u - 491. Calculate t(-11).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00927465691 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*h + 494 + 39*h**2 + 10*h - 40*h**2 to the form i*h**2 + o*h + v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84)\/(-70) - (-8)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -42. Factor 1\/2 - 1\/2*w**4 + 0*w**2 - w + w**i.\nAnswer: -(w - 1)**3*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 4*v**2 + 4*v + 7. Let i be q(5). Put i, -1, 4 in descending order.\nAnswer: 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91*b**3*n - b**3 + b**2*n + 236*b**2 - 8*b*n + 8*b wrt b.\nAnswer: 546*b*n - 6*b + 2*n + 472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12238278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 19297.363 to the nearest 100.\nAnswer: 19300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*k - 4*g + g, -14 = -3*k - 2*g. Let i(a) = 5*a + 2*a + a**k - a - 2. What is the units digit of i(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n - 3. Let p(s) = s**2 - 5*s + 10. Calculate the remainder when p(9) is divided by j(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/1*143\/595023*146.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-150)\/(-2) - (-14 + 12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9*a - 29 = -7*a, 49 = 5*b - 4*a. Suppose q = -j + 14, 7 = -2*q + b. What is the remainder when 20*6*5\/40 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*u + 27 = 2, 0 = o + 3*u + 16. Do 3\/8 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -20. What is the highest common factor of z and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221271.4 minutes to microseconds.\nAnswer: 13276284000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*377477.06.\nAnswer: -1887385.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - 0 - 1 - 5 - -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aidaaadaddaadydddi. Give prob of sequence id.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46 - 1 - -2) + -315 + 303 - (6 - 6).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 12*m + 1. What is g(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 8 (b) -2\/15 (c) 34 (d) 4\/7 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 + 22. Let o = s - -15. Sort -0.4, o, 0.3 in ascending order.\nAnswer: o, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 0*z**2 + 0*z**2 + (-3*z + 0*z + 5*z)*(z**2 - 5*z**2 + 2*z**2) + z**3 - 2*z**3 + 5*z**3 - 13 - z**3 + 33 - 19.\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 5. Let n be 24\/9*3\/c. Suppose -q + 8 = -n. Calculate the greatest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1564, -2206, -2846, -3484, -4120?\nAnswer: -4754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 26. Suppose 2*l = 5*s + y, -2*s - s = 6. Calculate the least common multiple of 1 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -37\/22549003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 403\/2 bigger than 203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/15 and -2\/1255.\nAnswer: 3765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 66*p + 95*p + 4 + 31. Let z be (-1 + -1)*6\/(24\/(-70)). Let g(s) = 18*s + 4. Let t(i) = z*g(i) - 4*u(i). Let r(f) = -f. Calculate r(t(n)).\nAnswer: 14*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (3 - 1)) + (14 - 32 - -17)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p\/p**(-4\/25)*p**(1\/17)*p*p assuming p is positive.\nAnswer: p**(1793\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1376492 (base 10) to base 11.\nAnswer: -8601a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2547 - -2546.6787. Let m = a + 0.32. Round m to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - b - 1. Let g(d) = d**3 - 1. Let a(h) = -g(h) - 2*i(h). Suppose 0 = -z + 3*z + 6. Determine a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54825919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 14*m - 33 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**2 + 2. Let x(m) be the third derivative of -m**5\/30 + 10*m**2. Determine d(x(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 13. Suppose -d = -0*d - q. Suppose d*w = 38 + 7. Calculate the greatest common factor of w and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3\/7 + 9*f**2\/7 - 3*f\/7 - 9\/7.\nAnswer: 3*(f - 1)*(f + 1)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 387221 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132830?\nAnswer: 2, 5, 37, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 - 7279*s - 7289*s - 7360*s + 21926*s.\nAnswer: -2*s + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**4\/4 - 6*j**3 + 23*j**2\/2 - 25*j + 1. Let n be l(17). Suppose -2*r + 107 + n = 0. What are the prime factors of r?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v + 11*v = 126. Let f(g) be the second derivative of g + 0 + 7\/6*g**3 + 4*g**v. Find the first derivative of f(s) wrt s.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4844 + 4840. Let s(i) = -3*i**2 - 9*i + 1. Calculate s(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-84)*((-64)\/4 + (86 - 66)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 1 + 3)*(-4*s + 3*s + 3*s) - 5*s + 4*s + 3*s)*(5024*s**2 + 8308*s**2 - 103*s**2) to the form j*s**3 + t*s**2 + m*s + z and give j.\nAnswer: 52916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 16*s = 15, 5*q - 57200 = -3*s. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 1:26 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1256 - 1250. What is the second smallest value in -3\/2, w, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 573\/27 + 2\/(-9) + -1. Solve 0 = 4*m - 0 - c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151247 less than -1.61?\nAnswer: -151248.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 0*b + 4 - 8 - b + 3. Calculate d(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/3 + 121614*h + 4743115\/3 = 0. What is h?\nAnswer: -13, 364855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, x: 15, d: 3}. Give prob of picking 3 x.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -184614498198 from 4.\nAnswer: 184614498202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-23)\/(-276))\/((-308)\/2904).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7*g - 60 = 0. Let l be 8\/g - 8\/40. What is the nearest to 2 in l, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -5, -2 in increasing order.\nAnswer: -5, -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119116 + 167579. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-89)\/1068)\/((-10)\/(-16)))\/(2\/9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66026278 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1185479 - -0.002831.\nAnswer: -1185478.997169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/14*22\/(-3). Suppose l = -3*u - 13. Let g = u + 15. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 135, -1, -5, -36, -3 in descending order.\nAnswer: 135, -1, -3, -5, -14, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2 + 10. What is the least common multiple of n and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-36))\/(3\/(-45)). Let f(o) = 7*o**2 + o - 1. Let i be f(1). Suppose -d = -i*k + 2*k - 32, 2*d - 64 = s*k. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 299.2075929 to one dp.\nAnswer: 299.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199765?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -251760 (base 8) to base 6\nAnswer: -1510520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/15)\/((-6)\/(-27))*-4. Sort y, -1, 7.\nAnswer: -1, 7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 3*k + 30 = 0, 5*k - 39 = -3*a + 2*k. Suppose -a = -3*g - 0*g. What are the prime factors of g\/(-2)*(-20)\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 5. Let j(u) = -3. Let t(g) = -5*j(g) - 2*p(g). What is t(-7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hiihrohhhoihrrrs. Give prob of sequence ihri.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - z + 1 + 0*z)*(-4*z**3 + 1 + 1 - 2*z**3 - 5*z + 5*z + 3*z**3 + (2*z - z - 2*z)*(0*z**2 + 0*z**2 - z**2)).\nAnswer: -6*z**4 - 2*z**3 + 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 323 - 318. Let z(i) be the first derivative of 0*i**4 + 3 + 0*i + 0*i**3 + 0*i**h - 3*i**2 + 1\/6*i**6. What is the second derivative of z(w) wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from bhgcyggcwygb.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 7*n + 8.\nAnswer: -(n - 1)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -281 divided by -6?\nAnswer: 281\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4967\/342 - -372\/19. Calculate the common denominator of 70\/957 and h.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.05, -9, 7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*r + 417 = 0, -5*r + 2*r + 678 = -3*b. Let w = b + 592. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66479089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 2000.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 189128585915 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -14*p + 22*p - 3*p**2 + 17 + p + 6*p + 4*p**2. Let l be ((-1)\/1 - -3)*-7. Let a be h(l). Let w(y) = y**3 - 3*y**2 + 2*y - 1. What is w(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*y - 225 = 0. Let v = 289 + -263. What is the remainder when y is divided by v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48549.\nAnswer: 3, 16183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, h: 9, f: 2, t: 1}. Give prob of picking 3 h and 1 f.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzb when three letters picked without replacement from bbbbzbzbbb?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 15, 2*o - 4*o + 5*j = -1. Suppose -o - 2 = -3*a. What is the third derivative of -a*y**2 + 2*y**6 + 9*y**2 + 3*y**6 wrt y?\nAnswer: 600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -5. Solve -5*z + n = -3*m, -4*m - 14 = -2*z + 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-3 - (-2 + -9 + 2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 391, 379, 369, 361?\n\"Answer: o**2 - 15*o + 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2401736.332 to the nearest 10000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -373, -167, 39, 245, 451?\n\"Answer: 206*c - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 83*g + 79*g + 12 = 0, -3*g = -v - 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 7. Let x(q) = 13 + 2*q - q + 3*q. Let k be ((-9)\/(-27)*-15)\/(7 + -6). Let y be x(k). Determine t(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -20. What is the remainder when (40\/6)\/(n\/(-9)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**4\/6 - 4*l**3\/3 - 3*l**2. What is the least common multiple of 22 and n(-6)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 4. Suppose 2*t + 9 = 3*x, -2*t - 25 = -2*x - o*t. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*w - 0*w - 560. Solve 0 = 5*z + 5*g + w, -z + 3*g + 10 = -3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 - -0.189. Let n = u - -0.079. What is n rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*a + 5*l, a + 2*a + 5*l = -12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09 less than or equal to -15690\/35687?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 427360 - 366?\nAnswer: 426772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110010011001 (base 2) in base 9?\nAnswer: 11034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 1408, 891, 1 in increasing order.\nAnswer: -6, 1, 2, 891, 1408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 2*j - 2. Suppose -o + 6*o = 10. Let u(g) = -3*g**2 + 5*g + 5. Let i(s) = o*u(s) + 5*r(s). Let h(n) = 206*n - 206*n + n**2. Calculate h(i(y)).\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5 = 5*o, -4*o + 2 = z - 0. Let w = -11 + 15. Suppose -2*c - 4*u = 2, 0 = -4*c - 4*u + 4 - 0. What is the smallest value in z, c, w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -447 - -1423. Let b = s - 976. Factor -d**3 + 0*d - 1\/3*d**4 - 2\/3*d**2 + b.\nAnswer: -d**2*(d + 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 + -18 - (-9 + (7 - 4))) + (1 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14761136, -14761134, -14761132, -14761130?\nAnswer: -14761128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 9*u - 31. Let k(d) = 3*d - 11. Let q(n) = 14*k(n) - 5*o(n). Let a = 8 - 3. Let c(v) = -2 - 4*v + 3 + 0. Give a*c(h) - 6*q(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4025.\nAnswer: 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 9:01 AM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 23*k**2 - 20*k + 6. Let n be o(24). Let z(i) = 13 + n*i - 3*i**2 + 2*i**2 + 100*i - 199*i. Calculate z(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -253875, -507750, -761625?\n\"Answer: -253875*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 10:44 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 1:48 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -96801 + 290459\/3. Let -80\/3 - 44\/15*q**2 + 2\/15*q**3 + u*q = 0. Calculate q.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 44217660*r - 97760072793780.\nAnswer: -5*(r - 4421766)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-28)\/3)\/(-7)*(-3)\/(-1). Suppose 38 = -b*x + 2*k, -5*x + 3*k - 8*k - 10 = 0. Let j(g) = -g**3 - 7*g**2 + 2*g + 11. Calculate j(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -655, -7, 2 in increasing order.\nAnswer: -655, -7, -4, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7678 is divided by 1273.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -82170.245 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, j: 12}. Give prob of sequence pjpp.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of -248*(-7)\/14 - -8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 75 - 65) + (61 - (2 - 2))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 f, and 1 z when four letters picked without replacement from {f: 2, d: 4, n: 1, q: 1, z: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -340320324 (base 5) in base 3?\nAnswer: -2210221212200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1461, -1433, -1373, -1269, -1109, -881, -573?\nAnswer: -173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36\/5 + 703\/120. Find the common denominator of c and -107\/80.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j**2 + j - 3. Let c(k) = 0*k**2 - 5*k**2 + 9*k - 7*k - 18 + 15. Let p(x) = -3*c(x) + 2*r(x). Factor p(z).\nAnswer: (z - 3)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 10:36 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(-5)\/((-270)\/(-9))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 460243 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 w be (1\/(-2))\/(2 + 39\/(-18)). Suppose -w*y + 20 = 7*y. Solve 2 = -2*n, -4*n = 5*x + 7 + y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 8 = 3. Which is the biggest value? (a) -5 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176125 - 1?\nAnswer: 176124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (243\/(-6)*27\/(-972)*4)\/((-1)\/8).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of 5*b**5\/4 + 19*b**4\/24 + 34*b**3\/3 + 253*b**2. Let k be r(-6). Round k to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -12, 4 in increasing order.\nAnswer: -12, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14048*z - 3813*z = 71645 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-436)\/(-2457))\/(8\/(-8916)). Let i = p - 1208\/117. Let n = 208 + i. Which is the second biggest value? (a) 4 (b) n (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660138873?\nAnswer: 3, 67, 49019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5218?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -36?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1386.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*x + 2*t + 4, 3*t + 24 = 3*x. Suppose -5*u + 0*b = b - 105, x*u - 5*b - 113 = 0. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4118012 divided by 5266\nAnswer: -782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 5, 8, 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*t + 354.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80.6 - 73. Let u = s - 8. Do 1\/3 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 4:56 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -243 + -271935?\nAnswer: -272178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -146617, -146642, -146667?\nAnswer: -146692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3071410 is divided by 2237.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hch when three letters picked without replacement from {h: 2, c: 1, n: 2, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 v when three letters picked without replacement from tvbwbwbbsbvv?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -33. Let f be (3 - s)\/(2\/12). Factor 16*x - 5 + f*x**2 - 16*x**3 + 4*x**4 - 3 - 8.\nAnswer: 4*(x - 2)**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 11 + 3 = v, v = t + 6. Let q = -95.9883 + -0.0117. What is the smallest value in -3, q, t, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggfgggggfgggfgg. Give prob of picking 3 g.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 2*p + 19, -11*p + 6*p = 4*c + 35 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5796)\/(-552) + ((-6)\/4)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2\/3, 0.07, 2\/5, -862, 3, -4\/29?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 29*x**2 + 38*x + 289. Let q be d(-30). Which is smaller: -9 or q?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*v - 10. What is the second derivative of 2*s - 2*s**4 + 3*s**4 - v*s**4 - 3*s wrt s?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11822175 times -0.09\nAnswer: -1063995.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 117340 divided by 29335?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - 121.7. Let a = 33.7 + h. Let w = -29 + a. Is -1\/6 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -2, 38, 1\/18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in years?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyxyxyyyyyyyxyyy. Give prob of sequence xy.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -4*c - 3*d, 6*c + 19 = 2*d + 41 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) + 72\/16. Suppose -2 = -m*j + 3. Let o be 16\/(-104) - (-62)\/234. Which is the second smallest value? (a) 2\/25 (b) j (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10694, -46816, -107026, -191324, -299710, -432184?\n\"Answer: -12044*r**2 + 10*r + 1340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104989 != 104990?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x. Let g(c) = -18*c. Calculate -17*b(s) - 6*g(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n. Let c(q) be the second derivative of -7*q**3\/6 - 23*q - 1. Determine o(c(m)).\nAnswer: -21*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 21*z**2 + 54*z + 27. Let d be u(-24). Suppose -2*q + 5*i = -4*q - 18, -12 = 3*i. What is the remainder when (-8)\/18*d\/(-102) is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-4)\/l)*l**8\/l)\/(l**(4\/5)*(l**10\/l)\/l) assuming l is positive.\nAnswer: l**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*g = -g - 19, -3*o = -5*g - 18. Let q(f) be the third derivative of 0*f**5 + 0*f**4 - 1\/40*f**6 + 0*f + 1\/6*f**3 - 6*f**2 + 0. Give q(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/(-285)*((-3)\/1)\/(-45)?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00039962286 to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpdvhph. Give prob of picking 1 h and 2 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19671305 to the nearest integer?\nAnswer: 4435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -7. Let b be (4 - 0)*c\/(-1). Let n = 7 - b. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 100.32 - 1.32. Let m = z + -91.1. What is m rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -164564980329 from -588.\nAnswer: 164564979741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 8 = 5*n + 3*q, -4*n + q + 46 = 0. What is the lowest common multiple of n and 1196?\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4323587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 - -61. Suppose -7*p = -2*p + 3*b + 142, -3*p + 4*b = 62. Let z = p + u. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**6 - 4106*d**4 + 4*d**2 - 376*d wrt d?\nAnswer: 360*d**3 - 98544*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 113.4 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37148 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02633 + 224.02633. Do 3\/4 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 12*l**2 - 18*l - 137. Is s(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(4\/3)*p)\/p)\/p**(-2\/13))\/(p*p\/(p\/(p*p*p*(p*((p\/(p*p*p*(p*p*p**(-4))\/p*p))\/p)\/p*p)\/p*p))*p)**(-49) assuming p is positive.\nAnswer: p**(9613\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 488 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-1 - (-15)\/3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/((m*(m\/m**(2\/3)*m)\/m)\/m*m*m)*(m*m**(-7)*m)\/m)**(15\/2) assuming m is positive.\nAnswer: m**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t**3 + 9*t**2 - 10*t + 6. Let n = -6 + 5. Let j(r) = r**3 + r**2 - r + 1. Let o(y) = n*a(y) + 4*j(y). What is o(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 5*f**2 + 2*f + 2. Let t be j(5). Let s = t - 11. What is the greatest common factor of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 438656 is divided by 456.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-762)\/(-54) - 150\/(-135).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z - d - 469 = 0, 4*z - 1876 = -2*d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 10 = 13*w - 35. Put 45, w, -1\/6, 6 in ascending order.\nAnswer: -1\/6, w, 6, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9 + 417*b**2 - 6*b - 833*b**2 + 415*b**2 = 0. Calculate b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201353 is divided by 24027?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3232 = -0*c + 2*c, 8063 = 5*c - 4*q. Solve 5*b**3 + c*b**2 + 5*b**5 - 40*b**4 - 1721*b**2 + 100*b**3 + 40*b = 0.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12243 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/5, 0.17, -1\/6, -1\/4, 2 in increasing order.\nAnswer: -1\/4, -1\/6, 0.17, 7\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 63672010 * 2.\nAnswer: 127344020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 714\/8*(-12)\/(-324) and (375\/(-90))\/((-66)\/27)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*l**5 + 729*l**4 + 45333*l**3 + 123135*l**2 - 385200*l + 216000 = 0. What is l?\nAnswer: -120, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.913889l?\nAnswer: 3913.889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 15*x**3 - 6*x**3 + 19*x**3 + 6*x**4 + 18 - 2*x**2 in the form r*x + g*x**4 + a*x**3 + m + b*x**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**3 + 4*o**2 + 2*o. Calculate h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/9030 and 151\/21672?\nAnswer: 108360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008851 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -8*l**2 - 8 + 18*l**2 + 11 - 3. Let f(v) = 77*v**2. What is f(w(b))?\nAnswer: 7700*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 29*p - 24. Let k be y(27). Let w = -10 + 15. Suppose -5*l - w*a = -k, 2*l + a = 7*l - 30. Solve -o - l = -3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w - 27*w - 5 + 4 + 0.\nAnswer: -63*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 165 + -93. Suppose n - 582 = -6*o. Let l = o + -21. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 158*a**2. Let w(z) = 231*z**2 + 22*z. What is w(s(b))?\nAnswer: 5766684*b**4 + 3476*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -28, 0.2 in descending order.\nAnswer: 0.2, -6, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4036985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19107*s**3 + 16025*s**3 + 1 - 61*s**2 + 61*s**2.\nAnswer: -3082*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2664.5 - -2648.500064. Let b = l + 16. What is b rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-176)\/(-13200))\/(1\/(-10))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1903963 is divided by 261?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 18. Let f = 10 - 3. Suppose 0 = -4*y + 19 - f. What is the lowest common multiple of s and y?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(396)*3.\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7)*595\/85. Let h be 5*((-24)\/84 - 88\/(-210)). Put h, w, 3 in descending order.\nAnswer: 3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167158 > 167158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28167.23mm to meters.\nAnswer: 28.16723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + -44. Let v be 6\/5 - (-36)\/o. What is the closest to v in 5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**2*g**3*q + 834*d**2*g**3 - 4*d**2*g**2 + 55*d*g**2 - 2*d*q - 49*g**3*q wrt d?\nAnswer: 4*g**3*q + 1668*g**3 - 8*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2 - 154*q + 15618. Calculate a(-135).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 14) to base 7\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237519 by -79173.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 n when four letters picked without replacement from ddddddddddnnnddndndd?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.365 + 94.365. Let o = n + -91. What is the fourth smallest value in 14, 6, o, 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -220*u - 8784. Let p be g(-40). Let f be ((-3)\/2)\/((-3)\/4). Solve 2*j + 2*y - p = -3*y, 10 = -j + f*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 5*h. What is n(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*i - 370*i = -2184*i - 2026*i - 410300 for i.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 = -3*t - 4*i, 5458*t - 5*i = 5453*t - 85 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 37 = -g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12128, 24266, 36404, 48542, 60680, 72818?\nAnswer: 84956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11344, 45358, 102038, 181372, 283348, 407954?\nAnswer: 555178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4305525 (base 6) to base 7\nAnswer: 1536554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 16 = -0*u - 2*f, -4*u = 4*f + 8. Differentiate 4*x**4 + 0*x**4 + 6 - u wrt x.\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 11:19 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-1 - 3 - (-1 + -3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 1\/672*w**8 + 62*w**2 - 1\/105*w**7 + 0 + 1\/60*w**5 + 0*w + 1\/6*w**3 - 5\/48*w**4 + 1\/60*w**6. Suppose i(r) = 0. What is r?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b = 60. Let a(j) = -j**2 - b*j**2 - 10*j + 5*j**2. Let q(l) = 3*l**2 + 2*l. Let k(r) = 2*a(r) + 11*q(r). Find the second derivative of k(h) wrt h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 1442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 times -0.025?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-1 + 0 - 2)*(-s + 2*s + 0*s - 1).\nAnswer: 6*s - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91662, -183130, -274598, -366066, -457534?\nAnswer: -549002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g + 5. Let m(q) = -2*q + 3. Let d(p) = 11*m(p) - 6*v(p). Let c(x) = x**2 + 10*x + 18. Let b be c(-3). Let o(h) = -h + 1. What is b*o(i) + d(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/4 - 4*m**3\/3 + m**2\/2 - 2*m - 4. Let p be z(4). Let d(l) = 4*l**2 + 1 - l**3 + 7*l - 11*l + p*l - 2*l. Determine d(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Let o be (-88)\/14 + n\/7. Let l(h) = 32*h**2 - 7*h + 6. Let d be l(o). What is d rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttai. Give prob of sequence ta.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -0.265?\nAnswer: -0.0795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**2 - 16*m - 27. Suppose -2*s + 3 = 5*c + 38, 4*s + 4*c = -40. Let h be g(s). Factor 7\/2*d**h - d**2 + 1 - 7\/2*d.\nAnswer: (d - 1)*(d + 1)*(7*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.02 - 10.78. Let v = -13.8 - n. Let l(w) = -2*w - 5. Let j be l(-5). Put 4, v, j in ascending order.\nAnswer: v, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/12)\/((-8)\/(-84)). Let v(t) = -2*t**2 + 20*t - 12. Let l be v(o). Calculate the greatest common divisor of 240 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007061 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 - 663144*j + 1326272.\nAnswer: 4*(j - 165784)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 25*m - 129. Let i be s(16). Calculate the highest common factor of i and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*j**2 + 10*j**2 - j**3 - 2*j**3 + 14*j**2.\nAnswer: -3*j**3 + 41*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3090, 3094, 3100, 3108?\n\"Answer: m**2 + m + 3088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, 1, 11, 23, 37, 53, 71?\n\"Answer: l**2 + 5*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 51540143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 180 = -6*p. Let o = -19 + p. Solve -5*l = -3*n - o, 5*n - 4*l + 0*l = -11 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6 - 8\/(-3). Let t = -568 + 569. Let q(l) = 710*l - 707*l + l**2 - t + 0*l**2. Give q(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1573 is divided by 418.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8237760 or -24713284\/3?\nAnswer: -8237760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -155, -221?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t - 6*t = 3*a, -5*a = -5*t + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15556 + 391c?\nAnswer: -11937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 2.1266942?\nAnswer: -2.0266942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 582.4*0.027272.\nAnswer: 15.8832128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 189*u**4 - 119*u + 9. Let f(h) = -47*h**4 + 30*h - 2. Let b(w) = 9*f(w) + 2*p(w). What is the second derivative of b(q) wrt q?\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.94 + 0.06. Let s = 6 + -13.2. Let p = -1.8 + s. Sort p, c, 4 in decreasing order.\nAnswer: c, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 12. Let f(k) = 1. Let u(s) = -20*f(s) - 2*x(s). Let r be (11 - 11) + 124\/(-2). Let g = r - -57. What is u(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1\/(8\/202) - (-13)\/(-52)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 9 = -v, v = -2*d - 0*v + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-58)\/(-4)*-134*-1 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 5. Let b(w) = -w**3 - 2*w**2 + w - 5. Let i be b(j). Suppose 0 = o - 0*o - i. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1050 + 1052. Sort 3, d, 1\/8 in increasing order.\nAnswer: 1\/8, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 898 + -907. Put g, -2, -5 in decreasing order.\nAnswer: -2, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1159 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 5:13 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-1)*(-13 - -19). Suppose -4 = -y*l + 8. Solve 2*c - 7 = l*d + 9, 4*c = -2*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -5) + -7 + 8*1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 + 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 50 = 7*m + 16*m. Which is the nearest to -1? (a) m (b) -1\/61 (c) -1\/10 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130037080640 to the nearest 1000000.\nAnswer: -130037000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -22. Suppose 42 = -3*r + v*r. Does 26 divide (-2 - r\/(-4))*32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*g + 268, 0*g - 84 = -n + 2*g. Suppose 2*k - n = -6. Calculate the greatest common factor of k and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 8*n - k, 2*n - 17926*k = -17931*k - 75 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2. Let f(z) = -z - 41. Give g(f(n)).\nAnswer: 3*n**2 + 246*n + 5043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3253*m**4 - 35*m**2 - 897336?\nAnswer: -13012*m**3 - 70*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 308\/(-35) - 1\/5. Let l = -14 - t. Let w = l + 9. Solve w*v - 3 = 3*d - 19, 5*d - 4 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*p + 70*p + 1472. Let t(c) = -c**2 - 31*c - 246. Give t(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-100)*66\/9*2175\/1595.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((8\/4 - -4) + (-4 - -7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + (2 - ((-12)\/9 + 2)). What is the second biggest value in -1, q, 0.02?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 62853207 and -15.\nAnswer: -942798105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**7\/42 + q**6\/6 + 3*q**5\/10 - q**4\/3 - 4*q**3\/3 + 4*q. Factor h(g).\nAnswer: g*(g - 1)*(g + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 1, -0.3, -4, 26 in descending order.\nAnswer: 26, 1, -0.3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5*(5 - (-426)\/(-90)). Solve c*k**2 - 7\/3*k - 2\/3 = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44673?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.732 less than or equal to 161717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061622707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.8 and 37.04167.\nAnswer: 32.24167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80387 is divided by 77777.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*b = -2, -3*b = 3*t - 5*b - 1. Differentiate 0*n - t + 1 - 2*n + 1 wrt n.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -6*f - 12. Let m be (-200)\/f*(-24)\/20. Solve -4*z + 0*z - 4 = 5*y, 5*z = 5*y + m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1.1, 8, -1\/6, 3\/5, -7?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/66 and -17\/860276.\nAnswer: 28389108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-4) - 0)\/(49\/(-98)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1.961019 weeks?\nAnswer: 1186024291.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 277423.\nAnswer: 17, 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5*-14)\/(118\/2655*18)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, x: 1, z: 1, m: 3, t: 5, e: 4}. What is prob of picking 2 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -196742.5.\nAnswer: -196742.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4392830 or -4392836?\nAnswer: -4392836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -26. Suppose -8*x + h*x + 235 = 0. Let m = x + 12. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, -0.5, 2\/65?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -40*t**3 + 2*t**2 + 13*t + 5. Let g be y(-5). What is g rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-42))\/(2540\/(-315)). Which is bigger: s or -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39777.8 grams in micrograms?\nAnswer: 39777800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4.4. Let y = -81 + 82.4. Let r = t - y. Which is smaller: -2\/3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004645 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 31 + 19 = 0. Suppose -9*t + 14*t - f = 0. Suppose t*k - 31 = 9. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + x**2 + 2*x**2 + (0*x + 0*x + x)*(3*x - 6*x + x) + 2*x**2 - 2*x**2 - x**2 - 3*x**2 + 5*x**2 + x**2 + (x + 0*x + x)*(x - 3*x + 3*x).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147218, 147276, 147334?\nAnswer: 147392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.329 and 36?\nAnswer: 11.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 10*q**2 + 9*q + 3. Let y be z(9). Let u(i) = -i**2 + 3*i - 2. Let n be u(y). Find the common denominator of 2 + n - (-250)\/(-36) and -41\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2 - 2*l - 6 + 15 + 8. Let y be k(8). Is y smaller than -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2132876.\nAnswer: 2, 533219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jazshjq. What is prob of picking 1 z, 1 q, 1 a, and 1 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of o**3\/3 - 2913. Let k(u) = 1587*u**2. Calculate k(p(n)).\nAnswer: 1587*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - a - 2. Let w(y) = 61*y**4 + 3*y**3 + 10*y**2 + 3*y - 777. Let l(d) = 3*f(d) + w(d). Differentiate l(c) wrt c.\nAnswer: 244*c**3 + 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) - (sqrt(2299) + 4 + sqrt(2299) + 3))**2.\nAnswer: 154*sqrt(19) + 2348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32 - -7. List the prime factors of f.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 11:38 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120 + 11*t**2 - 61 + 2*t**2 - 63 to z*t + i*t**2 + s and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 + 18*w + 1. Determine s(13).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10110001001?\nAnswer: -10110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 260220265 to the power of 1\/3, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 1\/9 (c) 404 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y + 3. Let h(b) = 4*b + 6 - 2*b - 11*b. Let r(q) = -5*f(q) + 3*h(q). What is r(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {v: 5, y: 2, f: 6}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g. Suppose 5*k + 2*r + 55 = 10*k, -2*k + 22 = -5*r. Let a(b) = -7*b + 4 + 37*b + 2 + k*b - 4. Determine a(d(s)).\nAnswer: -41*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.66015 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2665477?\nAnswer: 29, 107, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000356314 rounded to 7 decimal places?\nAnswer: -0.0000356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -23*f**3 + 91*f**2 + 31*f - 93. Determine u(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/119553 and 25\/294.\nAnswer: 1673742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 2)*(-1464)\/4. Suppose -5*j = -9*j + a. Does 29 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049 + 8 + -7 - 9?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -38.8. Let q = d - 4. Let t = q - 1. Which is bigger: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 26*j**4 - 277*j**3\/6 - 227*j + 220. Let w(g) be the first derivative of x(g). What is the second derivative of w(b) wrt b?\nAnswer: 624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2.1. Let h = 1514.6 - 1945.6. Which is bigger: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/61418 and -83\/10496.\nAnswer: 7861504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 2, y: 3, o: 1}. Give prob of sequence oz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*p + 3 + 316*p - 62*p - 4.\nAnswer: 339*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*q = -301, 0 = -27*d + 25*d - 4*q + 106. Calculate the highest common divisor of d and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 10:16 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -5, -1, -6, 0.2, -30.\nAnswer: -30, -6, -5, -1, 0.2, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39888596?\nAnswer: 2, 11, 17, 53327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -177*f + 38971. What is q(219)?\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4368\/24 - (0 - 8 - (1 + -4)). Solve 25*z + k - 237 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 325 + -326.9. Let u = p - -1.900000193. Round u to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26922?\nAnswer: 2, 3, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(6)\/sqrt(3)) - -3*(sqrt(7)*2)**2) + (sqrt(35)\/(sqrt(5) - sqrt(480)\/sqrt(6)))**2.\nAnswer: sqrt(7) + 763\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 11:32 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 1130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 17. Suppose -3*y + 382 - 409 = 4*k, -4*k - 5*y - 45 = 0. Find x such that 2\/11*x**3 - 2\/11*x + k - 2\/11*x**2 + 2\/11*x**i = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 41 - (0 + -2 + -1). Suppose 0 = 6*n - o + 14. Calculate the highest common divisor of n and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1898310930 and 0.5.\nAnswer: 949155465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 268 = -4*f + 5*q, 2*q - 8 = 0. Let l = f + 312\/5. Factor 2\/5*p - l*p**2 + 0.\nAnswer: -2*p*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7051\/3 - 2350. Which is bigger: b or -1178?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 t when four letters picked without replacement from {o: 2, w: 8, t: 9}.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -251.1 rounded to the nearest 10?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -426\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 6*j**2 + 10*j - 6. Let q be c(4). Suppose -h - m + 14 = 2*h, -5*h + 25 = q*m. Solve -5 = -3*v - 3*b - 2, -h*v = -5*b - 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/4)\/v)\/v**(2\/7)*v**(-1)\/v**(-2)*((v*v**(-5))\/(v*(v*v**(3\/13))\/v*v))**(-22) assuming v is positive.\nAnswer: v**(49701\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/5 + 4 + 8. Factor o*w**4 - 3*w**3 - 5*w**3 + 4*w**2 + 8*w - 16*w**4.\nAnswer: -4*w*(w - 1)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -8b8?\nAnswer: -901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/200 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 959608231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2005 and -3.\nAnswer: -6015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8999 + 135*r**2 + 2*r + 8999 + (-5*r - 2*r - 3*r)*(1 - 1 + 2*r) to the form s*r**2 + h + x*r and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1913918 or -66987084\/35?\nAnswer: -1913918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 a factor of 498871802?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 13 = 2*b - 87, 67 = 3*b + 5*f. Suppose b*q = 8790 + 9480. Is 63 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvo when three letters picked without replacement from voccq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 6. Let y(c) = 14*c**2 - c - 14. Let m(w) = w**2 - w - 1. Let r(d) = 6*m(d) - y(d). Let a(x) = -15*x**2 - 9*x + 15. Calculate n*a(u) + 11*r(u).\nAnswer: 2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 + 0 = 0. Let d be (6\/s)\/6*26. Let n = -8 + d. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 476714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -346*r + 49. Let m be 6\/4*1\/((-9)\/78). Is j(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - a?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19118\/455 in 0.5, 0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Suppose -d*x = 3*x. Let p(g) = x*g**2 + g**2 + 0*g**2. Let c(z) = z**2. Determine p(c(a)).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23.93809 centuries?\nAnswer: 28725.708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 48 + 252 = 0. Let s be (2 - 2) + 7950\/q. Let j = -156 + s. What is the closest to -0.3 in j, 1, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p + 3*p**2 + 5*p - p)*(-4*p + 15*p - 6*p).\nAnswer: 15*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 265 and 10282?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 1. Let l = 10 + -4. Let f = -10 + l. Put f, y, 5 in decreasing order.\nAnswer: 5, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + 4 + ((5 + -1*sqrt(252))*2 + 4)**2 + -4) + -2.\nAnswer: -672*sqrt(7) + 2412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4)*(5 - 5 + 2*i**2) - 239*i**2 - 1086*i**2 + 116*i**2 + 4*i**2 - 7*i**2 + 6*i**2 + (3*i - 3*i - i)*(2*i - 3*i + 3*i).\nAnswer: -1210*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*n**5 - 103 + 207 - 106 - 6*n wrt n?\nAnswer: -720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25022.8 and 4.\nAnswer: -100091.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-3)\/o)\/o)\/o**(3\/11))**(-30))**2 assuming o is positive.\nAnswer: o**(3480\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3529104 and 15880968.\nAnswer: 31761936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 246*l - 493. Is 12 a factor of n(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -33, -41, -45, -45, -41, -33?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8132 divided by 4\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 476, 5, -2, -21 in increasing order.\nAnswer: -21, -5, -2, 5, 476","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 135 divided by -598.\nAnswer: -135\/598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2746263 = 4*i, 2*w + 4*i - 15394 = 5477136. Let d = -1576267 + w. Suppose -z - 2*z + d = 0. Round z to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a + 2. Let f(c) = -2*c - 2. Let o be f(5). Let x be ((-7)\/14)\/((-1)\/o). List the prime factors of d(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42259 divided by 1358?\nAnswer: -6037\/194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 17, a: 2}. What is prob of picking 3 p and 1 a?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 77+-1.221203\nAnswer: 75.778797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + m**2 + m - 2. Let u be h(0). Find the common denominator of -49\/4 and (-95)\/(-8) + 4\/u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 7*b**2 + 11*b + 7. Let w(z) = -3*z**2 - 5*z - 3. Suppose -15 = -5*m, -4*f - 14 = -8*f + 2*m. Let i(g) = f*w(g) + 2*v(g). Determine i(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34210, 34211, 34210, 34207, 34202, 34195, 34186?\nAnswer: 34175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 205*n - 5681. What is s(33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 2101.\nAnswer: 2096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3890 = 2*a + 5*k - 3881, 2*a - k = -3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*u + 3*u - 6. Let f(z) = z**3 + 21*z**2 - 24*z - 40. Let g be f(-22). Suppose g*c - 54 = u*c. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -861 divided by 3\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5*i**2 + 2*i - 2. Let a(r) = 4 + 3*r - 11*r**2 - 8 + 2*r - 1. Determine -3*a(p) + 7*m(p).\nAnswer: -2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -6. Suppose -2*r + 0*v - 4*v + 982 = 0, -4*v = -20. Is (-3)\/(f + 1)*(-6 - r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 9 = -5*h - 0*l, -l = 2*h + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*p + 76*p**2 + 57*p - 34*p to t*p + o*p**2 + j and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 3*h**2 + 3*h + 9. Let i be -15 + 2091\/136 - (-70)\/(-16). Give a(i).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -531.111 - 0.3.\nAnswer: -531.411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/432 and -75\/404?\nAnswer: 43632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6169*q - 26797 = -403106 for q.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**2*g**4 + 99*c**2*g**3 + 2*c**2*g**2 - 12*c**2 + 22*c*g**4 - 10*g wrt g?\nAnswer: 24*c**2*g + 594*c**2 + 528*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.9 + -9.5. What is the third biggest value in -3, -6, 1\/6, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93.445 - -1.545. Let w = -91.8998794 - q. Round w to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27531579*c**3 - 74195*c**2 + 73?\nAnswer: 165189474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 758024628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7445 is divided by 462.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + t = -1, 0 = 5*s - t - 0*t + 7. Let a(i) = -9*i**2 - 6*i + 11. Let h(o) = 23*o**2 + 11*o - 19. Let p(g) = 7*a(g) + 4*h(g). Give p(s).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*n)*(0*n**3 - 3*n**3 + 2*n**3).\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvnhzvz. Give prob of picking 1 h and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.001 - 5.22. Let t = -0.219 - a. Sort t, -2, -0.4, 6\/19.\nAnswer: -2, -0.4, t, 6\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10}. What is prob of sequence ttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -25743*u**2 - 25742*u**2 + u + 7 + 51484*u**2. Give q(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 92, 141, 192, 245?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 566797 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bba when three letters picked without replacement from {e: 1, t: 1, b: 4, a: 5, j: 3}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-28)\/(-8) + (-2 - 495\/(-22)) and 28\/5 - 2\/(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*c = -c, -5*c + 12 = -3*j. Let u = j - -12. Differentiate k - 1 - 2*k - u - 2*k wrt k.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -11 - 1. Put -4, v, -1, -2 in decreasing order.\nAnswer: -1, -2, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.745115 + 0.012285. Round z to 2 dps.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/5)\/j*j)**(-2\/11)\/(j\/j**(10\/9)*j\/((j*(j\/((j**(8\/9)\/j)\/j))\/j*j)\/j)) assuming j is positive.\nAnswer: j**(677\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1165*w**2 + 13993*w + 5. Determine z(12).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 + 14*s**2 + 11*s - 5. Let k be x(-13). Suppose 5*a - k = 4. Suppose 2*j + 2 = n, -4*n = -2*n - 3*j - a. Put -2, -1, n in descending order.\nAnswer: n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8*d + 171 = 5*d, 2*d - 374 = -2*t. Is 367\/2 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 i, and 1 c when four letters picked without replacement from iciiqiiqhcicicii?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 3:07 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1931, 15257, 51349, 121565, 237263, 409801, 650537, 970829?\nAnswer: 1382035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.2 equal to 3033252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -226a86 + 45?\nAnswer: -226a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*k - 3*v, k + 0*v - 8 = -2*v. Suppose k*y - 3*c - 8 = 0, -4*c = 4*y + 8 + 16. Sort y, 2, 1.\nAnswer: y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (0 + 7 - 2). Suppose 4*s = -0*i - 4*i + 60, -4*i - 60 = -4*s. Solve 4*d = z, -2*d + 5*z = -s - p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/9 + 30*w**2 - 135746*w\/9 - 887642\/3 = 0. What is w?\nAnswer: -329, -19, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 484823517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2225 = 3*o, -x + 1173 = o - 1048. What is the least common multiple of 4 and x?\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 417243\/22 - 18970. Let p = -4404\/383 + -1\/766. Find the common denominator of n and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 463, 465, 467, 469, 471?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18278 + 18278.0009403. Round d to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**3 + 21*k**2 - 35*k + 2. Determine s(-12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 5*x - z - 246, -5*x + 255 = -5*z. Calculate the greatest common factor of x and 500.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - 80. Suppose -2*n - 10 = -2*y, -4*y + i = -0. Is 5 a factor of n - 8\/(-1) - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*d - 12*d + 155. Let c = d + -34. Let b = c + 59. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3 = -4*v, -2*a = -2*v - 0*a - 6. Suppose -2*z - z = v. Suppose z = 8*t - 6*t - 22. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20621 - 20621.5. Let i be ((-1)\/(-3))\/(6\/27). Which is the fourth smallest value? (a) 13 (b) 4 (c) i (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457 times -595715?\nAnswer: 272241755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 71 + -68. Suppose -5*a = y - 17, 7 = v*y - 5*a - 4. Let c(z) = 22*z**2 - 8. Let l be c(y). Round l to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -16*u + 28*u - 36, -x - u = -11 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 156949 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -163*t**3 + 8*t**3 + 14*t**3 + (-2*t + 2*t + t**2)*(-232 + 232 - 5*t) - 2*t**3 + 2*t**3 - 2*t**3 + t**3 - t + t + (0 + 2*t**2 + 0)*(2*t - 2*t - t).\nAnswer: -149*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + 39. Calculate the remainder when (-21)\/42 + (-445)\/(-2) is divided by f.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124466831.\nAnswer: 124466831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 458 - 439. Let t = 530 + -528. Which is the third smallest value? (a) x (b) -5 (c) t (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6270.\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.4 or -1.9493572?\nAnswer: -1.9493572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 72*q**2 + 1729*q + 10. Give y(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {n: 4, b: 2, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 6*s - 4. Suppose 4*d = 5*f - 0*d - 7, f + d = 5. Let n = -5 + f. Let q be (n + 36\/15)*-10. What is m(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**3 - 6111*k**2 - 67318*k - 146928 = 0.\nAnswer: -8, -3, 6122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -15*u + 3060. Let m = u - 156. What is the smallest common multiple of 12 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 13 = 5. Let c be 15\/6*u\/5. Let y be 6440\/6*(1 + c). Round y to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of w**6\/21 + 8*w**5\/35 + 3*w**4\/14 + 459. Suppose l(m) = 0. What is m?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**5 + 147*s**3 - 354*s + 2?\nAnswer: 20*s**3 + 882*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 124, 4 in ascending order.\nAnswer: -2, 4, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7781311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41321 is divided by 41304?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*f - 1860 = -4*o, 0 = o + f - 462. Suppose o = 9*g - 7*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -g**4 - 88*g**3 + 1065*g**2 - 2412*g - 3564 = 0.\nAnswer: -99, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-112) - 2656\/896. Suppose -44 = -5*o - 9. Put -18, d, 0, o in descending order.\nAnswer: o, 0, d, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468))**2 - sqrt(13)) + 4 - 2*((sqrt(13)*1)**2 + sqrt(13)).\nAnswer: -3*sqrt(13) + 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 6 = -3*n. Suppose 0 = -3*g, 0 = -n*o - 2*o + 4*g + 252. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4365 divided by 97\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -776*w**2 + 123*w**3 - 303*w**3 - 13*w - 29*w - 262*w + 324*w**4 - 32 = 0.\nAnswer: -1, -2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-3)*(11 + -5). Let p = -18 - s. Factor -2\/5*j - 4\/5 + 2\/5*j**p.\nAnswer: 2*(j - 2)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = k + 4*b - 10, -1 = -b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.927708ml to litres.\nAnswer: 0.003927708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127972075.\nAnswer: 5, 7, 11, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -442b65 (base 15) to base 12.\nAnswer: -1108488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, z: 1, x: 9}. Give prob of sequence hxx.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + 3*m**2 - 4*m + 1. What is the units digit of t(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 11*n. Solve 4*d - 4*o - 20 = 0, n = 3*d + 2*d + 2*o - 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7556, -3, 51.6 in decreasing order.\nAnswer: 51.6, -3, -7556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**7\/280 + y**6\/32 - 3*y**5\/40 + 2*y**2 + y. Factor v(n).\nAnswer: -3*n**2*(n - 3)*(n - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let d be -12 + (-3)\/3 - w. Let g be 5*(-5)\/(25\/d). Calculate the highest common divisor of 98 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1152)\/(-189) - 6)\/(-1)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-171 + 1 + -4). Let z = i + -174. Solve z = v - 4*b - 2 - 15, 5*v + 3*b = 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + q = 39, 83 = 5*n + 4*q + 11. Solve -4 = -2*i - n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = -0. What is the units digit of 53\/(-4 + u - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 321155373.70287298 - 4.70287298. Let g = -321155518.999823 + t. Let y = -150 - g. Round y to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 4*o. Let s be i(-5). Let k be (-1)\/(10\/(-3) - (-2 - 1)). Let g be 3 - (k + s + 2). Solve g*w + j = -2*j + 15, -5*w = 4*j - 23 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 603554.42 days to weeks.\nAnswer: 86222.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (4\/1 - 2). Let q be 10\/r*2\/50. Let g = -33.1 + 33. Which is the nearest to g? (a) 4 (b) 3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*r - 29*r - 2304. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 57*o - 9*o = -21*o + 2356 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 + -26. Let d be v + -36 + (2 - 4 - -5). Solve -2*k - d*k + 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 263*k - 264*k = 389, 5*k - 544 = -4*c. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5713 divided by 197\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r + 197. What is the hundreds digit of y(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**3 - 327*q**2 + 7257*q - 53243. Let w(m) = -25*m**3 + 3925*m**2 - 87085*m + 638915. Let k(u) = -35*i(u) - 3*w(u). Factor k(o).\nAnswer: 5*(o - 22)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 11 = 3*r, -3*i + 216 - 64 = 5*r + 66 + 73 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2. Let r(m) = -94090*m**2 - 75*m + 2. Calculate r(z(c)).\nAnswer: -1505440*c**4 + 300*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 225*l**2 - 170*l + 213. Find the first derivative of n(j) wrt j.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Find the common denominator of 1\/c - (-70)\/88 and 18\/22 - 1 - (-1115)\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - m**2 + 5*m**2 - 3*m**2 - 2*m**2 + 3*m**2 + (-1 + 1 + m)*(m + 0 + 0) + 1 + m**2 - 1)*(m**2 + 0 + 0)*(2*m - 2*m - 3*m).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12573?\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(343)*2))\/((3*(sqrt(300)\/sqrt(5) + sqrt(60)))\/sqrt(12)).\nAnswer: sqrt(11)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*h*z - 2*c*h - c - h*z + 16741*h - 3*z + 354 wrt h?\nAnswer: 2*c*z - 2*c - z + 16741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a decade in months?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**5 + 5*t**5 + 3*t**5 + 2 - t**5 - 2 + (2*t**3 - t**3 - 4*t**3)*(7 - 7 - t**2).\nAnswer: 10*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*v**4 + 25*v**2 - 26*v**4 - 10*v**3 + v + 19*v**2 wrt v?\nAnswer: 96*v - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 12:53 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 6*o - 5. Let w = 241 - 245. Determine i(w).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 577 (c) 1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000045 to 7 dps.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 61 = -64. Suppose 5*n - 54860 = -3*h, 2*n - d*n = 4*h - 73175. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 115 = 37. Suppose 2*f = 4*t + 28, -f + 5*t = 2*f - n. Let k be (6\/(-9))\/(2\/(-9)). Solve -5 = k*g - 5*s + f, s = -g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**3 + 7*a**3 - 10272*a**2 - 10150*a**2 + 30570*a**2 - 10148*a**2.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1768 - 265199\/150. Let l(i) be the third derivative of 3*i**2 + 0*i**4 - 1\/15*i**3 + 0 + g*i**5 + 0*i. Factor l(b).\nAnswer: 2*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 645.0957 years in decades?\nAnswer: 64.50957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 29*q**2 + 1. Let n(j) = 323*j**2. Determine k(n(l)).\nAnswer: 3025541*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 0*x**2 + 0*x - 1\/21*x**3 + 87 + 1\/28*x**4. Factor j(l).\nAnswer: l**2*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 3)*(-410*m**2 - 343*m**2 + 890*m**2) to the form x*m + v + s*m**2 and give s.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*f - 12 = 0, 4*f = -2*r + 1 - 17. Sort -3\/11, r, -0.1.\nAnswer: r, -3\/11, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 452418 and 603224.\nAnswer: 1809672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/26)\/(252\/(-21294)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p + 227. Give z(-23).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5c2942 - b?\nAnswer: -5c294d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*8\/4 + 1. Let w(v) = 3 - 2 - v + 2*v. Let n(i) = 2. Let m(a) = d*n(a) - 3*w(a). Differentiate m(u) wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -811 in -15, 0.5, 2\/5, -0.5, 2\/13?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 95.212, 4, -1\/3, 1\/4 in ascending order.\nAnswer: -1\/3, 1\/4, 4, 95.212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(3\/18) - (-66)\/(-12)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 778 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3320, -6638, -9956, -13274, -16592?\nAnswer: -19910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10173, 19905, 29637?\n\"Answer: 9732*d + 441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21187 + 78125 = 49*x. What is the smallest common multiple of x and 2?\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.9 + 13.9. Put -2\/9, g, -5, -0.14 in descending order.\nAnswer: -0.14, -2\/9, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14 + -1)\/((-18)\/48) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - ((-1962422)\/21 - 4\/(24\/2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1773085336.\nAnswer: 2, 11, 613, 32869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 713, -556, -2, 4 in decreasing order.\nAnswer: 713, 4, -2, -556","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 13, -63, -145, -233?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 26411, 105595, 237559, 422297, 659803, 950071?\n\"Answer: -s**3 + 26396*s**2 + 3*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = b + 3*x, 0 = -5*b + 2*x - 0*x + 292. What is the smallest common multiple of b and 124?\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04974 rounded to three dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -5, 2860831, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 14*k**2 + 3*k - 487. What are the prime factors of m(-26)?\nAnswer: 11, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*y = 2, 0 = -40*i + 36*i - y - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 - 3*w**2 - 2*w**2 - 5*w + w**2 + 5*w + 3*w - w**2 - 3*w + (-3 + 3 - 2*w)*(-4 + w + 4) - 3*w**2 - 2*w**2 + 4*w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 7*a - 17. Let t be f(4). Suppose 4*u = -z + 7, u - t = -4*z + 2*u. Let q(s) = 7*s**3 - 3*s**2 - s + 2. What is the units digit of q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3699 and -18491\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 - -189. Let t = q + -84. Is 9 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 9:15 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (186\/(-775))\/((-12)\/(-80)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y = 21*y + 27 - 27 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 + 5*k. Let m be 0*2\/(-9)*((-195)\/26 - -6). Let o(g) be the third derivative of 0*g**3 + m*g + 17*g**2 + 0 - 1\/24*g**4. What is p(o(w))?\nAnswer: -4*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -47*r - 4. Let d be b(-4). Let v be (-1978)\/215*(-10)\/4. Calculate the greatest common divisor of d and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0 + a**4 + 1 + (8*a - 8*a + 5*a**4)*(2 + 0 - 4).\nAnswer: -9*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 869879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 10) to base 14\nAnswer: 4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-6 - -2 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 23408541?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*r + 17. What are the prime factors of r\/(-8) - 2\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 12. Let w be k(-10). Let x(l) = 3*l**2 + 2*l**w - l**2 + 0*l**2. Let q(t) be the first derivative of -t**2\/2 - 1. Give x(q(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1129*o**3 - 1092*o**3 + 2390*o**3.\nAnswer: 169*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 3 + 748*p**2 - 786*p**2 in the form l*p + w*p**2 + h and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*t = 549*t + 1390 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -119d3 - 0?\nAnswer: -119d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.29896 >= 0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 2*k**2 - 2. Let u(a) = -863*a**3 + 899*a**2 + 1740*a + 8. Let n(p) = -10*q(p) - u(p). Factor n(o).\nAnswer: 3*(o - 2)*(o + 1)*(291*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(1287\/(-6)) - (3 + (-423)\/(-39))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/21 + 4\/6. Let i = 1 + s. Suppose t - 2 = i, -4*p - t + 55 = 0. Solve -4*c + 5*d + 2 - 3 = 0, -4*c + d - p = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 8*q + 93. Let r be ((-125)\/q)\/(-5)*-2. Solve b - 2*b = -r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 - 65*t**3 + 71*t**3 + t)*(-107*t + 9 - 9) to m*t + z*t**2 + o*t**3 + f*t**4 + c and give m.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 13, b: 3}. Give prob of picking 2 i.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/5 (b) -0.3 (c) -59 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -7778?\nAnswer: 7775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-7) + 2\/6*5.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -145665 - 2*b + 291362 - 145697.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*m - 4 + 7)*(6*m**4 - 6*m**4 - 22*m**4).\nAnswer: 44*m**5 + 22*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*(c**(-1\/15)*c)\/c*c*c)\/c*c**(-4\/11))**(-35))**(-9))**44 assuming c is positive.\nAnswer: c**21756","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 + 28. Let q = 9 - a. What is the closest to -0.1 in q, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4 - 6*g**3 - 9*g**2 + 24*g - 12 = 0. Calculate g.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280379464.\nAnswer: 2, 827, 42379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**2 + 14*y**4 - 15\/4*y**5 + 0*y + 0 - 53\/4*y**3 = 0.\nAnswer: 0, 1\/3, 1, 12\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -94*c - 99*c - 16*c**2 + 199*c + 4*c**2. Let a(q) = q**2 - q. Calculate -12*a(h) - 2*x(h).\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, f: 3, w: 13}. Give prob of picking 1 f and 1 s.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4910*g - 4154. Let r(f) = 3*f + 4. Let t(b) = l(b) + 5*r(b). Differentiate t(n) wrt n.\nAnswer: 4925","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 263.412 + -264. Let k = -0.088 - b. Let v be 5*(-1*2 + 1). Sort 6, v, k in descending order.\nAnswer: 6, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08444668 to three dps.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*h - 3237, -k = -0*k + h - 1081. Let t = 1083 - k. Let j(y) = -1 - 5*y + 3*y + 0 + y**2. What is j(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -69a + 4?\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/32384249?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25591856 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 6. Let n = v + -3. Let t = 3 + -4. Which is the second smallest value? (a) n (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(8\/7))\/(d*d**(-6))*(d**1)**(-9\/7) assuming d is positive.\nAnswer: d**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 8*q - 7. Let d be (3 - (-18)\/(-5))\/(1\/10). Determine x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 21*z + 42. Let v be x(-2). Let a be (-6)\/(-8) + (-3609)\/(-84). Let h = 44 - a. Put h, v, 1 in descending order.\nAnswer: 1, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (1 + 1 + (-6 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -2\/7 (c) -6\/25 (d) -3\/22 (e) -15 (f) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/22983456 and 31\/170?\nAnswer: 114917280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 791168083 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-14)*123424\/3712?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4996 at least -4995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2.6 times -843491\nAnswer: 2193076.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/8 (b) 0.12 (c) 6 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269446 is divided by 68.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**3 + l**2 - 8 + 0*l**2 - 2*l**2 + l - 8*l**2. Is 10 a factor of f(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22, -1 in descending order.\nAnswer: 0, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4987 + 6655*s**2 - 766*s**2 + 1181*s**2 with respect to s.\nAnswer: 14140*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 163*c**3 + 2*c**2 + 2*c + 4. Let a be d(3). Let t = a - -193. Let o = -92397\/20 + t. Find the common denominator of 1\/12 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10650168.\nAnswer: 2, 3, 147919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000310931 rounded to six decimal places?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 + 6*m**2 - 5*m - 2*m**2. Let i = 73 - 78. Let z be s(i). Solve -n + 3 - 5 = z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 + -36. Let m(q) = 2*q**2 + 4*q + 2. Let h be m(-2). Suppose -2*w - 4*x = -8, -h*w = -0*w + 5*x - 5. What is the greatest common divisor of v and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1299016\/(-13722))\/((-4)\/(-3)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5033375 minus 54358666?\nAnswer: -59392041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11011 (base 2) to base 7\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.11 - -0.11. Let p = 3.9 + u. Let z = 2.07 + -0.07. Which is the nearest to p? (a) 0.3 (b) z (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1.957 (b) 4\/7 (c) -5 (d) 1\/36 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2032803843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -b2 (base 14) in base 2?\nAnswer: -10011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*j**2 - 414*j**2 + 3*j + 798*j**2 - 3*j.\nAnswer: 230*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -110, -2, 68, 0, 122 in descending order.\nAnswer: 122, 68, 0, -2, -4, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 0*g**7 + 0 + 0*g**3 + 0*g + 0*g**5 - 1\/24*g**4 + 0*g**6 - 3*g**2 + 1\/336*g**8. What is the second derivative of r(q) wrt q?\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 - -230. Calculate the greatest common divisor of 100 and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11*117\/(-30)*42\/9. Let z = 201 + g. What is the third biggest value in -0.4, 2, z, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/216 - (-70)\/6 - (-2 - 25)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + o + 5 = -2*z, -2*o = 2. Let i be 39 - (z - (-1 - -2)). What is the greatest common factor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xeljelkz. Give prob of sequence xzke.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 427028 and 12684?\nAnswer: 1281084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2665, -5313, -7961, -10609, -13257, -15905?\n\"Answer: -2648*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000023 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 2. Let c(q) = -q - 1. Let h(u) = -2*c(u) - f(u). Give h(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*j + 24. Suppose 4*w - 430 = 2*u, -2*u + j = w - 87. Calculate the remainder when w is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6) - 50\/(-12))*-2. Let b(r) = -r**2 - 5*r + 17. Let o be b(m). What is the first derivative of 11 - 3*j**o + 4 + 5*j**3 + 5*j**3 wrt j?\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037846715 to five dps.\nAnswer: 0.00378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*b - 6 + 2*b**3 + 11*b.\nAnswer: 2*b**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 11*v**2 + 25*v + 1. Let h be s(8). Which is greater: h or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100010001100 - 10101110?\nAnswer: -111100100111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 192971.9 + -28.\nAnswer: 192943.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4014 - -4019.066. Let t = -1.566 + 1.5. Let g = t + j. Is g greater than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6985243 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4439 divided by -4\nAnswer: 4439\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0440285 + 17.\nAnswer: 17.0440285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 8*q**2 - 9*q - 8. Let r be j(-9). Let o = r - -10. Is (5\/o)\/((-10)\/(-220)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2270729003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011001101 - -101?\nAnswer: 1011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -711*d**2 + 20656*d - 1062. What is s(29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -1.56763?\nAnswer: -1.96763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -90481 and -1\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1029690 - -0.3.\nAnswer: -1029689.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143846158 to the power of 1\/2, to the nearest integer?\nAnswer: 33821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 15*x - 2629. Let l be q(-44). What is the fourth smallest value in -4, 4, l, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 3:45 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80 * 0.10913.\nAnswer: 8.7304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318286 is divided by 5051?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f + 1. Let x be z(1). Suppose u - 23 = 5*v, 4*u + 2*v = 5 - 1. Sort 9, x, u in ascending order.\nAnswer: x, u, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 93, 151, 211, 273, 337, 403, 471?\n\"Answer: y**2 + 55*y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-40)\/(-6))\/((-3808)\/2856). Let f = 2.93 + 0.07. Let m be (1 - 0) + 14\/(-10). Sort 0.1, h, f, m in descending order.\nAnswer: f, 0.1, m, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -0.6. Let f = 25 + -36. Let m = 11.2 + f. Put m, t, 0.3 in descending order.\nAnswer: 0.3, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2022222102021 - 20?\nAnswer: 2022222102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 1e?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide ((-2160)\/225)\/((-6)\/11600)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34882 + -34843. Let l(m) = 3*m**3 - 3*m**2 + 3*m - 5. What is the remainder when l(5) is divided by p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*l, -6*q = l - 7*q. Let t be (-2 - l)\/4*0. Suppose 6*n - 91 - 293 = t. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**4\/4 - 3*s**3 + 5*s**2 + 9*s - 9. Let w be (8\/6)\/((-4)\/30). What are the prime factors of x(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-325) - (111\/39 + -3)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.3, 0.1, -10 in decreasing order.\nAnswer: 0.1, -0.1, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8329589 months in millennia?\nAnswer: 0.000152746575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 22. Let n be k(0). Let s = -9 - n. What is the remainder when 36 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/20 - 4\/(-10). Let g be -2*10*(-4)\/(-16). Let u = g - -6. Sort u, h, 4.\nAnswer: u, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2161*o + 13772*o - 4 - 1 + 5)*(-3*o**2 + o**2 + 0*o**2 + (-o + 0 + 0)*(4*o - 2*o - 3*o)).\nAnswer: -15933*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/24 in 0.2, 44, 104, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a microsecond in nanoseconds?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/40 - (-2)\/(-8). Let r = -1.1 + 9.1. Let d = r - 7. Which is the nearest to 1? (a) f (b) 2\/9 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 477, 464, 449, 432, 413, 392, 369?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/273 and -50\/9.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 74 - -72. List the prime factors of n.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, e: 10, l: 3, q: 3}. What is prob of picking 1 l, 2 e, and 1 q?\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -125, -5, 2058 in ascending order.\nAnswer: -125, -5, 5, 2058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-60 + 234 + 2932*b - 57 - 58 - 59)*(94*b - 62 + 62) as h*b + l*b**2 + z and give l.\nAnswer: 275608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*c**2 + 806*c**2 - 253*c**2 - 291*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1.8, 1, -54?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + -2043?\nAnswer: -2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 144. Let q be u(-12). Let j be (q\/2)\/((-78)\/13 + 12). Factor -2\/7*d**4 + j + 2\/7*d**2 - 4\/7*d + 4\/7*d**3.\nAnswer: -2*d*(d - 2)*(d - 1)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 31\/((-323)\/(-357) - 4\/(-42)). Suppose t - u*t + 1320 = 0. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + w**2 + 14*w + 33. Let a be p(-5). Let m = 147 - a. Suppose 0 = 4*d - 2 - 6. What is the greatest common factor of m and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/7 + (-2)\/(-7). Suppose 4*o - 1 = 3. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of y**5 - 8356*y**4 - 2*y**3 + 74*y - 35.\nAnswer: 20*y**3 - 100272*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 6:44 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -15. Calculate the least common multiple of c and (-20)\/(-3)*(-24)\/(-10).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -28) + -1 + 3 + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 + -39. Suppose 0 = 2*m - 20 - 16. Calculate the smallest common multiple of l and m.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-8)\/((-8)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37007\/12 + -3087. Calculate the common denominator of t and -31\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80919 is divided by 255?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 779 - 141. Suppose 0 = 7*r + 12*r. Suppose r*b + 4*d + 71 = -b, -5*b - a = -5*d. Round b to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 4 - 2*p + p - 4*p**4 + 3*p**4 + p**2 as g + s*p**4 + j*p**2 + q*p**3 + o*p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 - 3*b**2 + 6*b - 40. Let w be v(3). Solve -y + 0*s = -s - 2, -w*s = 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 643, 652, 675, 718, 787?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whzwwhh. Give prob of sequence zzwz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19414, 28331, 37252, 46177, 55106, 64039, 72976?\nAnswer: 81917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149045 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 110 = 3*y + 8, -5*y + 10 = 0. Let a = 33 + f. Round a to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6012, 5832, 25578, 53232, 88800, 132288, 183702, 243048?\nAnswer: 310332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 30 = d, -1242*f + d = -1247*f - 33 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56876019 and 30.\nAnswer: 568760190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (4\/(8\/(-2)))\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1. Let g(r) = 2*r - 22. Let l(n) = -22*c(n) - 2*g(n). What is the lowest common multiple of l(13) and 146?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3 - 9*f - 7 - f + 3*f. Let u(x) = 6*x - 8 - 24*x + 3*x. Let o(b) = -5*n(b) + 2*u(b). Find the first derivative of o(c) wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*4 + 4)*-2 + sqrt(130)\/(sqrt(20)\/sqrt(128)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 5*b**2 + b + 4. Let t(w) = 2*w**3 + 23*w**2 - 16*w + 54. Let v(y) = 3*h(y) - t(y). Calculate v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 - 11*v - 3. Let k be i(-5). Let g = -13 + k. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12808676\/17 (b) -3 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2618, 1377, 0.3?\nAnswer: -2618","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) -7\/3 (b) -0.02 (c) 121 (d) 17 (e) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 13*n - 10. Let q be u(12). Find the third derivative of -11*r**6 - 18 + 18 - q*r**2 wrt r.\nAnswer: -1320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3*c + 15. Let h be i(-6). Is h < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - (-2 + -1)) + 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + j - 2 + (4*j - j - 5*j)*(-2 + 3 + 0))*(-6 + 2 + 1) + 8 - 4*j - 8.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0589 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 40 = 30 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 3*k + 10, 3*a = 164*k - 169*k - 6. Solve k = 3*d + 91 - 97 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*g + 4*g**3 - 5*g**2 + 0*g**3 - 3 - 3*g**3.\nAnswer: (g - 3)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5105377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -2\/9, -22, -6, -0.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m - 52. Give x(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/(352\/(-55))*-274?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c*c)**42*(c**(-1\/3)\/c)**(-1\/40) assuming c is positive.\nAnswer: c**(5041\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u = 4*u + 184. What is the remainder when 228 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234, -251, -268, -285, -302?\nAnswer: -319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 1560381892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 14*w**5 - 570*w - 5*w**5 + 48*w**4 + 64*w**2 + 88*w**3 + 586*w = 0?\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (3 + -13) - 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 60\/585*-198?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*18\/(-48)*(-12)\/9. Sort -2, 46, -3, b in increasing order.\nAnswer: -3, -2, b, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/2684 and -51\/22?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*j - 34785 = 0, 12*t - 5*j = 17*t - 34825. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -661, 4, -2 in descending order.\nAnswer: 4, -2, -5, -661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8976736 is divided by 95.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 - 12*z**4 + 13*z**2 + 9*z**4 - 17*z**3 - 10*z**2 to the form v*z**4 + n*z**3 + p + m*z + o*z**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 4*t + 24, z + 5*t - 31 = -57 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1. Suppose -f - 2*f + 1035 = v. Suppose f = 3*c - 126. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2. Let r be w(1). Let p = r - -5. Let i(h) = -h - 1. Let g be i(-4). Solve 2 = -g*l - p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*j + 4004 = 358*j + 291*j. Let b(i) = 5*i + 10. Let t(h) = 11*h + 21. Calculate j*b(o) - 3*t(o).\nAnswer: 2*o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/64? (a) 0 (b) 7 (c) 0.1 (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82149 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34269856 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (1 - 1) - 47. Suppose 1008 = 9*g - 0*g. Let y be 18\/n - 38\/g. Is y greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**3 + 8*z**2 + z + 3. Let m(j) = 4*j**3 - 8*j**2 - 2*j - 4. Give 4*d(c) + 3*m(c).\nAnswer: -4*c**3 + 8*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -17*m**3 - 6*m**2. Let r(u) = -527*u**3 - 187*u**2. Calculate -6*r(k) + 187*s(k).\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**3 - 27044*t**2 - 81096*t = 0?\nAnswer: -6758, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1544 is divided by 389.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**2 + 2*v**2 - 2*v**2)*(0 - 43*v + 0) as n + t*v**3 + m*v + l*v**2 and give t.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 10*j - 236 = 0. Suppose 14 = 5*y + j. Let t be 2\/y + 249\/27. Solve t = -r - 3*l, 3*r - l - 4*l - 29 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*q - 0*m + 3, -q - 2 = -4*m. Solve -q = -3*a - 2*t, -a - 2*t - 5 = -7*t for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11774568 divided by -169?\nAnswer: -69672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let d = 2192103\/25942 + -2\/12971. Let i = 86 - d. Which is the smallest value? (a) r (b) i (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2891 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**3 - 73*w**2 + 44*w - 306. Determine c(36).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393222 - 16*c + 393222.\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:13 PM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345443, -690888, -1036333, -1381778?\nAnswer: -1727223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 6:14 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 33.17866 millilitres?\nAnswer: 0.03317866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 PM and 5:00 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4*r**2 - 2 + (-3 - 3 + 4)*(-2*r**2 + 0 + 0) + 3*r**2 + 11*r - 11*r + 3 - 3 - 6*r**2 in the form c*r**2 + l*r + z and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13*(390\/50 - 8). Let o be (-12)\/(-9) + -3 - 473\/(-165). Factor 4\/5*a**2 - 3\/5*a**3 + l*a + o.\nAnswer: -(a - 3)*(a + 1)*(3*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -21*k - 3. What is the remainder when b(-2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 4*p + 16. Suppose -5*a + t = -0*t + 150, 3*a + p*t + 113 = 0. Let h = a - -43. What is the remainder when 35 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-3))\/1*3. Suppose -c*z + 1 = -3. Let d be 3 - 4 - z*-7. Solve 0 = -4*p + i + d, 0*p = -3*p + 5*i + 13 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213032221031 (base 4) in base 9?\nAnswer: 21313388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + -9 + (0 - 16 - -15) + -4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1867, -8423, -19351, -34651, -54323?\n\"Answer: -2186*q**2 + 2*q + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*a + 565 + 257 = 297 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 5\/(-7) - 8442\/(-294).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -87*j**2 - 5*j - 8. Let w(o) = 260*o**2 + 15*o + 23. Let i(n) = 17*l(n) + 6*w(n). Let r = -1958 + 1957. What is the units digit of i(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30878704 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6725377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5252842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1784101 at most 518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + -2*sqrt(147) + -5.\nAnswer: -8*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 2, c: 1, a: 1, u: 2}. Give prob of picking 1 c and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 471628, 471641, 471656, 471673, 471692, 471713, 471736?\nAnswer: 471761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5973*g**3*x**3 - 97*g**3*x**2 + 3*g**3 - 3*x**2 wrt x.\nAnswer: -35838*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-12))**(1\/92) assuming g is positive.\nAnswer: g**(-3\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 115014431, 115014432, 115014433?\nAnswer: 115014434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -48186, -96280, -144374?\n\"Answer: -48094*a - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-27))\/((1548\/(-43))\/(-108)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 17.\nAnswer: 19\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13232 - -13242. Solve -25 = 2*a + 95*d - 90*d, 0 = -5*a + 5*d - k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -r + 2*u, -3*u + 38 = r - 0*u. Suppose 3*q - 3*y = -q + 120, -2*q - y + r = 0. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 6*z**2)*((-3 + 5 - 4)*(2 + 1 - 2) - 4 + 1 + 2)*(0 + 0 - 3*z).\nAnswer: 54*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22\/23 - -288\/253. Let y = 0.1 - 0.3. Let a be (-1)\/3*(-30)\/(-35). What is the closest to y in 4, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9975*g - 401963 - 445912 for g.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.29 times 0.09?\nAnswer: -0.0261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 - ((-23)\/(-1) - (-343 - -332)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*x - 2\/7*x**2 + 2\/7*x**3 + 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -408078 + 592463. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 - 2201220?\nAnswer: -2202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -21790, -21833, -21876, -21919, -21962, -22005?\n\"Answer: -43*n - 21747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 643 = -0*k - 4*g, 1221 = 2*k + 5*g. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4495, 4217, 3833, 3343?\n\"Answer: -53*a**2 - 119*a + 4667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1050, -1043, -1036, -1029?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8881.\nAnswer: 83, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-21)*(10 + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-10))\/(-8*(-1)\/40). Let t be (o\/4)\/(243\/(-162)). Which is the nearest to 2? (a) -2 (b) 0.4 (c) t (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 8 = -0*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14209?\nAnswer: 13, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2398 divide 3209960694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26952*r**3 - 99*r**2 - 8706314*r wrt r.\nAnswer: 161712*r - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34177 and 23176868.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/9 + 176*y**4\/9 - 3686*y**3\/9 + 10880*y**2\/9 + 61144*y\/9 + 46400\/9 = 0.\nAnswer: -2, -1, 8, 25, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(89\/1 + 1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l. Let v be (-9)\/24*6*8\/3. What is u(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -82651*q - 82755. Give o(-1).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 9516 = -1444. Suppose 4*i - 992 = t. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -533 (b) 4 (c) 2\/5 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1418, -5671, -12758, -22679, -35434?\nAnswer: -51023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1101 + 765 - 1745)*(-3*u**2 + u**2 + u**2) - 7*u**2 + 0*u**2 + 4*u**2 + (-4 + 5 + 1)*(-2*u + 2*u + u**2) in the form k*u + o*u**2 + d and give o.\nAnswer: 2080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -11. Suppose i + 61799992 = d*i. Suppose -4*g + 2*g - i = -3*y, 82400016 = 4*y + 4*g. Round y to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/15 + 2*r**3\/15 + 2*r**2\/15 - 2*r\/15.\nAnswer: -2*r*(r - 1)**2*(r + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 6:06 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-81)\/6)\/(-3))\/(39\/(-130))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - 4*z. Let g be (-4)\/(-1) - (-1)\/(-1). Suppose 0 = 4*m - 5*f - 49, g*m - 2 = 4*f + 36. Suppose 2*h - 5 = -d, -m*h + 20 = -h. Determine b(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*j**3 + 17 - 7*j - 19*j**3 - 24*j**3.\nAnswer: -32*j**3 - 7*j + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3.1. Suppose 0*r + 1 = -5*v - r, -2*r = 2. Which is the second biggest value? (a) v (b) j (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, 0.5, -0.06?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 27 = 38. Let v be (h - -3)*51\/340. Put 0.06, v, -1, -4 in descending order.\nAnswer: 0.06, -1, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*k - 108*k - 3149 = 71 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -484416 by -161472.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -66*h + 259. Let f be q(4). What is the second smallest value in f, 23\/3, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 61, 58, 51, 40?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*p + 6. Suppose p*z - 42 = -0*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/2, -11.3, -33?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**5\/2 - 15*y**4\/2 - 25*y**3\/2 + 15*y**2\/2 + 10*y = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2*1\/(-4)*(-230)\/(-23)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*x + 132*x = -53*k + 16*k + 175, 2*k - 2*x = 26 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*(sqrt(9)\/sqrt(3) + -4) + 1.\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:25 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -33, -76, -135, -210, -301?\n\"Answer: -8*s**2 - 3*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12880398.\nAnswer: 2, 3, 2146733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 3. Let k = -53 - -61. Let g(c) = -2*c + 8. Give k*n(x) - 3*g(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {b: 3, v: 2, w: 7, g: 2, x: 4}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 6:35 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11555, 23161, 34765, 46367, 57967, 69565, 81161?\nAnswer: 92755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**5\/4 + 149*a**4\/4 + 635*a**3\/4 - 3253*a**2\/4 + 731*a - 115 = 0. What is a?\nAnswer: -23, -10, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9*f**2 - 150*f + 57. Let i be p(-17). Which is greater: -159 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -158 (base 14) to base 4\nAnswer: -10102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928270517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 216621185, 216621187, 216621189?\n\"Answer: 2*t + 216621183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -22 + 19 + -71.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1038413020 and 1405?\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/681 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 266882, 266829, 266770, 266699, 266610, 266497, 266354, 266175?\n\"Answer: -d**3 + 3*d**2 - 55*d + 266935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(76) + 0 + sqrt(76)*-2) + 2 + sqrt(19)*1*6 + sqrt(342)\/sqrt(2))**2.\nAnswer: -4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/9 - 11\/(-3). Factor -4*g - 1 + h*g + 2*g - g**2 + 0*g.\nAnswer: -(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = -3*v - 114. Let l = 149 - v. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -278 - -182. Let a = -164 - i. Let r = -57 - a. What is the greatest common factor of 44 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 12\/(-20)*-5. Let s be ((-78)\/351)\/(y\/12*-1). Factor s*b + 8\/3*b**2 + 0 + 2\/3*b**3.\nAnswer: 2*b*(b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 - 2778*r**4 - 19298*r**3 + 69234*r**2 + 185260*r + 99504 = 0 for r.\nAnswer: -1382, -9, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1765*i**2*k*z**2 + 20*i**2*z**2 + 2*i**2*z + 45*i**2 - 4*i*k*z**2 wrt k.\nAnswer: 1765*i**2*z**2 - 4*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*p = -2*t + 72*p - 164, 4*t + 6*p + 0*p - 80 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nvmnunxvunvppxxvpuvu. What is prob of sequence up?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/4*2*2. Let q = -105 - -109. Solve q*v - 5 = -x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 8:56 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 - (-5 + 24 + -6 - ((-3 - -12) + -6)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*-1 - -20*32. Calculate the smallest common multiple of 8 and m\/52 + 2\/(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -119, -488, -1071, -1844, -2783, -3864, -5063, -6356?\n\"Answer: 4*r**3 - 131*r**2 - 4*r + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -275*x. Let m(c) = 41*c**2. What is m(f(n))?\nAnswer: 3100625*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 2156?\nAnswer: -1\/1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 396 divided by -66\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 521.775906 - 521.7. What is z rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6438 - 5458. What is the greatest common factor of j and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 + 24*b**2 + 32*b = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a. Let h(k) = 32*k. Let b(l) = 2*l. Let t(c) = 70*b(c) - 5*h(c). Calculate z(t(w)).\nAnswer: 140*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 3\/((-3)\/1). Let o = 3 - j. Solve -5*x = -4*n + 5, o*x - 6*x - 3 = 3*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**2 + 42*f**2 - 55*f + 2*f**2 wrt f?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -19, -46, -71, -88, -91?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10145135 (base 7) to base 8.\nAnswer: 3177440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -14241218.7449\nAnswer: 14241218.5449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1706.\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -101010110 (base 2) to base 4\nAnswer: -11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3962 * -7\nAnswer: -27734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(7\/(14\/(-3)))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 24*v**2 + 83*v + 50. Determine g(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + -3*sqrt(153))**2 - ((-6*sqrt(204))\/sqrt(12) - sqrt(17))) + (5*sqrt(153)\/(-6*sqrt(900)))**2.\nAnswer: 7*sqrt(17) + 88145\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 16. Is (-371)\/k + 24\/16 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u. Let t(q) be the first derivative of q**4\/8 - 17*q**2\/2 - 21. Let s(j) be the second derivative of t(j). Calculate o(s(y)).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/2 - (-9)\/(-1). Let s be -1 - ((1 - 0) + c). Suppose 0 = 5*p - 2*a - s + 5, -4*p + 19 = 5*a. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 127983225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9809 divided by -193?\nAnswer: -9809\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + 3 + (sqrt(425) + (sqrt(425) - (0 + sqrt(425))) - sqrt(425)) + (1 + sqrt(425))*-2)**2.\nAnswer: -80*sqrt(17) + 1718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -28.5. Let b = c + -7. Sort -1\/6, b, -4 in increasing order.\nAnswer: -4, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 20*y**2 - 22*y + 47. Let j be h(21). Suppose j*s = 34*s - 5896. Is s a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 6*p + 8. What is n(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380943538.\nAnswer: 2, 3, 151, 291997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 4*j - 224 = 0. Let d be (-10)\/(-4)*j\/20. Find the second derivative of -p**5 - 2*p**5 + d*p - 4*p wrt p.\nAnswer: -60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 382, 383, 384, 385?\n\"Answer: f + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w = 21*w + 1575. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8bc (base 15) to base 12\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c7ea + -3?\nAnswer: -3c7ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*w - 31 = 0, -w + 35 = f + 2*f. What is the first derivative of 16*x - 3*x - 13*x - 69*x**2 - f wrt x?\nAnswer: -138*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 214577?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.9 * -5514266\nAnswer: 10477105.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 14. Let b(p) = 12*p - 10. Let t be b(x). Let o be (-20)\/t + (-54)\/(-10). Solve 2*i = o*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9381 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 4:30 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9503.852 hours to microseconds.\nAnswer: 34213867200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/3 (b) 5 (c) 275 (d) -0.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((2 + sqrt(192) + sqrt(192))*1 + -3 - (3 + -2*sqrt(192)*3)))**2.\nAnswer: -640*sqrt(3) + 12313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 229\/130 + -32\/13. Calculate the common denominator of (-104)\/10 + 1 + -2 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 404189668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 20*w - 9 + 17\/2*w**2 + 1\/4*w**4 - 19\/3*w**3. Let l be r(18). Solve 6*p - l*p - 4 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3121 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4667 + 1.077. What is z rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 18. Suppose -22 = -2*i - h, 5*h + 46 = 3*i - 0*h. Let r be (-2 + i)*(-12)\/(-5). Solve w*o = -3*u + r + 16, -2*u + 3*o = 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffdfffndffffffvf. Give prob of sequence vd.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 v when four letters picked without replacement from {y: 7, v: 2, i: 1, o: 3, f: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 1 + -4 + -1 + (2 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d**2 - 2*d**2 + 3*d**2)*(-2*d + 2*d + 2*d) + 187*d - 187*d + 61*d**3)*(2*d + 3*d - 4*d)*(d - d + 3*d).\nAnswer: 177*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 0.4. Let q = n + -0.53. Which is the third biggest value? (a) q (b) -3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 333269, 333272, 333275?\n\"Answer: 3*u + 333266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2566 divide 289557704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4))**3\/(n**(-3))**(14\/3) assuming n is positive.\nAnswer: n**(59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 49120278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1246*c - 8422. What is the remainder when w(-14) is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 0*h**2 - 2*h**5 + 17*h**5 + 8*h**3 - 8*h**3 + (6 - 6 - 9*h)*(-10*h**4 + 0 + 0).\nAnswer: 105*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**0*p*(p\/(p\/(p*p\/(p\/(p*((p**(-1)*p)\/p)\/p))))*p)\/p*p\/(p**(-5)\/p*p*p)*p**(2\/5)\/p)**(-27))**(1\/28) assuming p is positive.\nAnswer: p**(-729\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 456*l + 459.\nAnswer: -3*(l - 1)*(l + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2967*m**6 + 38*m**2 - 1 wrt m?\nAnswer: 356040*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 - -24. Let n(o) = -o**3 - 15*o**2 + o + 16. Let x be n(-15). Let s be 425\/170*28*x\/5. Solve 4*z - j = 2*z + s, -2*z = 4*j + q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 19*u - 24*u - 10*u. Let d(z) = -3*z. Let t(o) = o**2 + o. Let g(x) = d(x) + 3*t(x). What is w(g(c))?\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1188, 2494, 4056, 5994, 8428, 11478?\n\"Answer: 20*u**3 + 8*u**2 + 1142*u + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139785?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 822 and -0.5.\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22775, 45600, 68475, 91400, 114375, 137400, 160475?\n\"Answer: 25*f**2 + 22750*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*x - 7020 = -82*x + 29*x for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-364)\/20 - (-1)\/5. Let i be 3\/p - 3\/((-18)\/199). Solve 19 = 5*j + 3*o, -4*o = -5*j - 0*j + i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182*m**3*y**3 + 3*m**2*y**3 - 2*m**2 - 5*m*y**3 wrt m.\nAnswer: 1092*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12153, -12157, -12161?\nAnswer: -12165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(3*k + 2*k**3 - 3*k) + 64*k**3 - 37*k**3 - 30*k**3.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:04 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -985, -958, -741, -238, 647, 2010, 3947, 6554?\n\"Answer: 16*x**3 - x**2 - 82*x - 918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 10)*(5 - 5 + 3*q)*(0*q + 5*q**2 + 0*q).\nAnswer: 105*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1171, -3055, -5687, -9055, -13147, -17951?\nAnswer: -23455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28\/30*(-260)\/143*242\/924\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6581916 is divided by 3260?\nAnswer: 3236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10842343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -22905\/4*o**3 - 3\/4*o**5 - 4804839 - 1286766*o - 441\/4*o**4 - 512031\/4*o**2 = 0.\nAnswer: -54, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**5\/80 + s**4\/6 - 2*s**3\/3 + 37*s - 40. Let k(j) be the first derivative of x(j). Determine w so that k(w) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 398665603 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 2*x - x)*(-11 - 3 + 15) + 46*x - 6*x + 13*x + 5*x + (-2 + 5 - 1)*(3*x + 0*x + x).\nAnswer: 58*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -2\/47, -4 in decreasing order.\nAnswer: 2, -2\/47, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*p + 3885 = 78*p. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*n**4 + 8593556*n**3 + 21*n**2 + 5000710*n + 1 wrt n?\nAnswer: -456*n + 51561336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 95, -3.\nAnswer: -3, -1, 2, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 + -8 - (6 + -1). Let u(j) be the second derivative of 3\/40*j**5 - 5*j + 0*j**2 + 1\/4*j**3 - 1\/4*j**4 + s. Factor u(t).\nAnswer: 3*t*(t - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -689 - -691. Let s = 0.3 + 0.1. Let q = -0.06 - 0.44. What is the second smallest value in q, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - -0.1. Suppose 0 = 4*w - 236 - 564. Let q be 5 - -1 - w\/35. What is the second biggest value in 3, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 3*k**2 - 3\/2*k**3 + 3*k + 1\/4*k**4 - 5. Let i(g) be the first derivative of c(g). Solve i(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66737330401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*r + 1275 + 1365 for r.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1441655, -2883397, -4325139, -5766881, -7208623, -8650365?\n\"Answer: -1441742*x + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-1))\/5*1. Let r(d) = 6*d. Let s be r(x). Solve 2 = a + s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2 + 4*o. Let t(z) = -z. Let n be t(4). What is the lowest common multiple of 4 and x(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 15*q + 96. What is the remainder when 29 is divided by i(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3297599 is divided by 824377.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-2)*(87\/10)\/((-603)\/402).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, 0.2, 7, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from {v: 1, h: 2, g: 1, b: 1, q: 2, r: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 110\/3 + 1\/3*l**2 + 37*l.\nAnswer: (l + 1)*(l + 110)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2. Suppose 4*j - 3 = 9. Suppose 81*a + 52 = -72*a + 127*a. Let w = a + j. What is l(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*q = 39*q - 60. Let b be (-2)\/q - 6672\/(-90). Suppose -r + 5*r + 2*z - b = 0, 3*r + 3*z = 57. What is the lowest common multiple of r and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 f, and 1 m when four letters picked without replacement from {t: 6, n: 3, r: 2, f: 2, m: 1, l: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5850101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 10, e: 3, n: 2, k: 4}. What is prob of picking 2 e and 1 n?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/8? (a) 2 (b) 4 (c) 396\/17 (d) 2\/3 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2 - 2\/4. Let g be 12*(i - (-3)\/(-6)). Suppose -4*a + 22 = 2*q, 5*q - 2*a = -7*a + 35. What is the highest common divisor of q and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0698 - 6.\nAnswer: -5.9302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**5*v**(-3\/7)*v*((((v*v**(1\/3))\/v*v)\/v)\/v)**9)**(-7) assuming v is positive.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 + 2403523?\nAnswer: 2403503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108901930 divided by -306766.\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/13 in 0.4, 2\/11, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 3*p + 48. Suppose 160 = 148*w - 158*w. What is q(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 107 or 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3 + 991*z**2 + 11004*z + 18036 = 0. What is z?\nAnswer: -9, -2, 1002","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30420992 is divided by 232?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37380035.\nAnswer: 5, 7, 11, 79, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 728 by -1.\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 - (-4 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (33\/121)\/((-1188)\/38115)\nAnswer: -35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6*-1)\/((2\/(-26))\/(1374\/151827))\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + -46. Let u be 87 - 0*1\/3. Let w = u + f. Calculate the highest common factor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from rrrrrrwrrwr.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-11) - 3290\/(-385). Let a = -34086046 + 66086016. Let r be (-6)\/h - a\/40. What is r rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1170568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6802\/(-3401)*(-3)\/28*(-1)\/(-3).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.011373*17\nAnswer: -0.193341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 13*g**2 + g + 15. Let i be a(-13). Suppose -u - 234 = -i*u. Calculate the greatest common factor of u and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 o, 1 l, and 1 x when four letters picked without replacement from {x: 5, v: 1, o: 11, l: 2}.\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62433\/130 - -2403\/5. What is the common denominator of -81\/104 and l?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 74*p + 2 + 2 + 56*p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 z when four letters picked without replacement from {j: 4, z: 10, i: 2, u: 3}.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-30))\/(-2*(-2)\/20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -3846?\nAnswer: -3849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5*z - 144 = 2*y, -2*y - 284 = 4*z. What is the tens digit of ((-72)\/(-90))\/(-1 - 72\/z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 3*r + 15 = -3*n, 0 = 2*n + r + 5. Suppose 16 = 5*t + 2*m, n*m = -5*m - 10. Suppose -2*a - q = 1, -t*q = 5*a + 3 + 1. Solve a = h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -350 - -3d3c?\nAnswer: 39dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -227*v + 225*v + 409 + 410 - 864.\nAnswer: -2*v - 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, p: 3, c: 2, k: 1, y: 3, i: 1}. What is prob of sequence ilk?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 - -68. Suppose 6*w - 11*w + g = 0. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07676 to 3 decimal places.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 12*q**2 + 12*q + 6. Let i = 56 - 64. List the prime factors of t(i).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -17*l + 3*l + 2*l + 7*l + 41 + 8*l. Let g be o(-13). What is p in 2\/7*p - 1\/7*p**g - 1\/7 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3 = 7 - 19. Let z(v) = -v**2 + v - 3. Determine z(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(405) + sqrt(405) + (2*sqrt(405))**2*5 + sqrt(405) + 5 - (sqrt(405) + 1*sqrt(405) + 2 - (-1 + (2*sqrt(405) + sqrt(405))**2))).\nAnswer: 9*sqrt(5) + 11745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11273\/23 <= 490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 6:35 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o. Suppose 0 = 2*k + 4*g - 148, 5*k + 0*g - 406 = 2*g. Suppose -5*d + 85 = -k. Let l(q) = -2*q**2 - d + 33 + q**2. Give l(w(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 85495124 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**3 - m**2 + m + 1. Let a be x(-1). Let g(o) be the first derivative of o**4\/4 + 7*o**3\/3 - 4*o**2 + 2*o + 5. Let n be g(-8). Is a <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -18 - (2 + 0)\/(-1). Find the common denominator of -70\/9 and (170\/d)\/(2\/(-4)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3592, -2388, -1184, 20, 1224?\n\"Answer: 1204*g - 4796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5043 - -4140?\nAnswer: 13223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -1\/21*s**4 - 1\/735*s**7 + 0*s + 1\/105*s**6 - 2*s**2 + 6 - 1\/70*s**5 + 4\/21*s**3. Determine j so that c(j) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttmt when four letters picked without replacement from {t: 4, o: 1, m: 6}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 7*r**2 - 6*r - 2. Let k be j(8). Let m(l) = k - 38 + l - 2*l + 19. Determine m(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.82 - 7.52. What is the closest to -1\/3 in 7\/5, -4\/5, t?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/297*27)\/((-7)\/2). Let g = -0.01 + 2.01. What is the nearest to i in 0.1, -3, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-7))\/f*(f*f**(4\/17)*f)\/f*f assuming f is positive.\nAnswer: f**(157\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 393, 395, 397?\n\"Answer: 2*l + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 136 + 294 = 0. Let c be 6*g*(-3)\/18. Round c to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 2*h**4\/3 - h**2\/2 - 23*h. Determine v(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*p + 21, 2*y - 6*p - 53 = -p. Suppose 4*m = -4*m - y. Let q be (-2)\/3*(-84)\/(-56). Sort q, 4, m.\nAnswer: m, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 4*s - 14. Let v be o(-6). Suppose -5*x + 0 - 5 = 0. Which is the third smallest value? (a) x (b) 3\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 58 = -0*d. Let l = d - -48. Suppose 2*y = 5*o - 39, 3*o - 3*y + 76 - 103 = 0. What is the greatest common divisor of o and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*j + j. Suppose j*p = p, -h - 2*p + 8 = 0. Calculate the smallest common multiple of 7 and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46252528 to the nearest integer?\nAnswer: 6801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-322)\/(-4)*(-80)\/(-140). Let t = 50 - w. Differentiate 49*a + 4*a**t + 4 - 49*a wrt a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455526 is divided by 664?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2583*o + 46489. Determine l(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*m**2 - 81*m**2 + 2 - 1 - 895*m**2 - 1.\nAnswer: -885*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 147853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 625*j + 13*j**2 - 4*j**2 - 6*j**2 - 373*j + 474*j in the form l*j + b*j**2 + a and give l.\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/60 - 7*g**4\/24 + 59*g**3\/3 + 6*g**2 - 4*g. What is the derivative of l(k) wrt k?\nAnswer: 2*k - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -15, 1\/6, 0.07, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6612 and 30972.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c**2 + 2*c - 2. Let n(s) = -21*s**3 + 74*s**2 - 14*s + 14. Calculate n(m) + 7*o(m).\nAnswer: -21*m**3 + 137*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*m + 11. Suppose -3*n + m = -2*n. Suppose -2*i = n*s - 107, -116 = -3*i - 4*s + 45. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*((-10)\/(-12))\/(6\/36). Suppose -5*d + 23 = 7*c - 4*c, -c = -4*d + j. Let i(a) = a**2 + 9*a + 12. Let m be i(-8). Solve -s - m = c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + z = 6*i - 1405, 2335 = 5*i - 3*z. Let g(k) = 3*k**2 - 32*k + 2. Let j be g(13). Suppose -u = -i - j. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -2\/17, -2\/7, 2, -5\/2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, a: 4}. What is prob of sequence ccca?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 8 - 1) + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o. Let w(s) = -313*s**2. Calculate q(w(v)).\nAnswer: -313*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 - 70*u**2 - 20*u + 280.\nAnswer: 5*(u - 14)*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 72508.\nAnswer: 36254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32 and -0.298.\nAnswer: -32.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1738461371?\nAnswer: 23, 75585277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*c + 249392540*c**3 - 41*c - 249392514*c**3.\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 7*w. Let s be (140\/56)\/(5\/12). Let f be a(s). Suppose i - 20 = 4*c, 4*i - 2*c - 53 = 55. Calculate the highest common divisor of i and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - 0. Let f = 7 - 5. Let p(a) = -a**3 + 2*a**2 - 2*a + 2. Let i be p(f). What is the closest to 6 in y, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110202001210100 (base 3) to base 11.\nAnswer: -3906108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 11:00 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000065 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 4:56 AM?\nAnswer: 2:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 1764 = 11*b. Calculate the greatest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 3*u - 10 - 13, -5 = u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 21*z - 24*z + 1290, 860 = 2*l - 4*z. Solve 421*s - 72 = l*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**2 - 3073155*i + 49171760 = 0. What is i?\nAnswer: -614647, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 140189 or 6448731\/46?\nAnswer: 6448731\/46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2\/3 - 30374*o\/3 + 60740\/3 = 0.\nAnswer: 2, 15185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 >= 137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1648891 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 576.7 - 580.7. Which is the nearest to 3\/2? (a) 3 (b) p (c) 5 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1438.4098 or -2\/19?\nAnswer: 1438.4098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 52*v = 49 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21639 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23695 and 71085.\nAnswer: 71085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/2))**(4\/11) assuming x is positive.\nAnswer: x**(6\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 258533.9 millennia?\nAnswer: 3102406800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 + 528*n + 65728.\nAnswer: -(n - 632)*(n + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 38*m + 2078. Let p be h(-53). Let o(r) = -r + 4. Let y be o(-4). Calculate the highest common factor of y and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 754 = 5*g + 749, 3*g - m = -17 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = 264. Calculate the common denominator of 35\/8 and (82\/t)\/((-4)\/8).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5 - 181806*j**4 - 11449871*j**3 - 11268066*j**2 = 0?\nAnswer: -181743, -62, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 192041257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 - 6*c**2 + 4*c - 3. Suppose -2 = -2*x + 10. What are the prime factors of k(x)?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**3 - 15*t**2 + 9*t - 44. Let z(g) = g**3 - 6*g**2 + 8*g - 6. What is the remainder when k(6) is divided by z(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssgsggssgssgggsggg. Give prob of picking 2 s.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d - 1. What is the units digit of q(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*l**2 - 9*l**2 - 9*l**2)*(4 - 1 + 0) + (0*l**2 + 4*l**2 - 2*l**2)*(4 - 2 + 1).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -70 + 72. Let n = 0 + 2. What is the third derivative of 6*q**3 - q**z - n*q**2 - q**3 wrt q?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*a - 230 + 4244 + 1426 = 0. Calculate the remainder when 303 is divided by a.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17335 - 4?\nAnswer: 17331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = 2*f + 24. Let i be ((-2)\/13)\/(328\/(-8528)). Solve -3*t + 31 = i*y, -2*y - t = -f*y + 11 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37042274, 37042265, 37042266, 37042283, 37042322?\n\"Answer: u**3 - u**2 - 13*u + 37042287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 158167890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h - 18*h - 10*h + 21*h. Let g(x) = 601*x. What is g(v(o))?\nAnswer: 1202*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 + 19*n**3)*(-29*n**2 + 27*n**2 + 26*n**2) - n**5 - 2*n**5 + 12*n**5 + (-1 + 4 - 4)*(-3*n**5 + 2*n**5 + 2*n**5).\nAnswer: 464*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 4\/1)\/(-1). Let c = -1 + i. Let p(g) = -2*g**3 + 250*g**2 + 8571*g + 85. Let n be p(-28). Solve -c = -3*m + n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6339764?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14.22771516 - 0.0511\nAnswer: -14.27881516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**5\/13 - 148*k**4\/13 - 6274*k**3\/13 - 54124*k**2\/13 + 6272*k\/13 + 54272\/13 = 0. Calculate k.\nAnswer: -16, -1, 1, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191 = -34*h + 55 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, q: 5, i: 2, r: 3, p: 5, j: 1}. Give prob of picking 2 a and 1 j.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47)\/47)\/(2\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 171 - -5?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3, -1441, 7\/5, 18 in descending order.\nAnswer: 18, 7\/5, 0.3, -3, -1441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2201301221 (base 4) to base 12\nAnswer: -27b575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-10))\/(90\/300). Let j(c) = 14*c**2 - 3*c. Let f(l) = -168*l**2 + 35*l. Calculate v*f(z) - 70*j(z).\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200110 (base 3) in base 7?\nAnswer: -3402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2772 and 4752.\nAnswer: 33264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/5595 and -7\/16712265.\nAnswer: 16712265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.23 - -0.07. Let k = 0.13 + -0.03. Which is the closest to u? (a) -3 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -59068 = -15\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**5 - 160*c**4 - 1496*c**3 + 2512*c**2 + 8892*c + 5040 = 0.\nAnswer: -21, -20, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(-11\/2))**(-33)*(c**(-1\/4))**34)**32 assuming c is positive.\nAnswer: c**3424","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24939 and 6127659.\nAnswer: 104170203","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.23 + 4.23. What is the nearest to -0.2 in 3, s, 0.2, -53?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(1064\/(-10032) + (8\/66)\/(-2)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 368589?\nAnswer: 368586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 63 = 12*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 46 - 16 = 0. Solve f = -a*d - 3, -5*d + f + 9 = -1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6.3. Let r = -155.7 + 156. What is the smallest value in f, r, 1, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/(-56) - 29\/(-20))*35. Let f = 30.1 + 7.9. Let j = f + -41. Put -0.3, d, j in decreasing order.\nAnswer: d, -0.3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*q**4 - 3*q - 17 + q**4 - 16*q**2 + 6*q**4 + 54 wrt q?\nAnswer: 12*q**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35\/9*9\/(-15)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 315627936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzqqvzvzqiqqvilqoq. What is prob of sequence iqvq?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 447.2112 months to millennia.\nAnswer: 0.0372676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*1 + sqrt(1100) - (-2*sqrt(1331))**2) + sqrt(132)\/(-2*sqrt(48)).\nAnswer: -5324 + 79*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 times -0.19?\nAnswer: -23.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 1:40 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1408 in 2, -4, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 14. Give l(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x = -66 - 246. Solve 11*c = x*c + 8*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/4)\/(u\/(u\/(u\/u**2))))**(4\/9)\/(u**(2\/9)\/(u**(2\/11)\/u*u)*u**(-1\/3)*u*u**(2\/3)) assuming u is positive.\nAnswer: u**(-125\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 821 + 194?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10127*v**4 + 11*v**3 - 62*v - 872688496 wrt v?\nAnswer: -40508*v**3 + 33*v**2 - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 14*l**2 + 5*l - 142. Let z be h(-15). Solve 0 = -3*i + 2*j - 20, -z = -2*i - 4*j - 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d - 4. What is c(2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -2359?\nAnswer: -2359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1990\/50 + -39 + (-24)\/(-70). Suppose -2\/7*h**2 + a*h + 0 = 0. Calculate h.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18414478129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 2:24 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-48)\/6 + (-5 - -984)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 778086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a - 6*a + 2155*a**2 - 19*a**3 - 2155*a**2.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877757347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26885013*a**2 + 13338597.\nAnswer: 53770026*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 - -291. Suppose 195 = -5*a - x. Let f = -71 - a. Solve 5*o - f = -0*o - 2*i, 3*i + 6 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 3:19 PM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from btttttttttttbtb. What is prob of sequence tbtb?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3*b = -4*b + 6, 15 = 4*s - b. Suppose -16 = -s*w - 4. What is the derivative of 2*a**4 - 2 + 0*a**w - 5*a**4 wrt a?\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_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: What is -27246 - 18?\nAnswer: -27264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 9*a - 16, 62*x - 3 = -2*a + 61*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 2*t - 5*t + 1)*(-3 - 4 + 5)*(t - 3*t + t - 3*t + 0*t + t + (1 - 2 + 0)*(0*t - 4*t + 3*t) - 4 + 4 - t).\nAnswer: -12*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 121455420 greater than 121455418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 31 + 17 = -6*h + 2*i - 40, -5*i = -10 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -2, 52, 162, 346?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 51. Let n be (0 - (0 + 1)) + 1. Let u = n - s. Let x(m) = m**2 + 7*m + 6. Give x(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 12*u - 15.\nAnswer: 3*(u - 1)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*a**4*d + 409*a**4 + 2*a**2*d - 4*a*d - 3*a - 119*d - 18 wrt a.\nAnswer: 696*a**2*d + 4908*a**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 0*a**3 - 3\/2*a**4 + 0*a - 3\/2.\nAnswer: -3*(a - 1)**2*(a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.456 in 3, 5\/4, -4, 17, -108?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 853 - 134. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 - 1 + 1)*(-2 - 1 + 2) + 4*g**3 - 3*g**3 - 3*g**3 + 7*g**3 + 15*g**2 - 10*g**2 + 6*g**3.\nAnswer: 9*g**3 + 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112100210221221 - -2?\nAnswer: 2112100210222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 + 231.303?\nAnswer: 159.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47262, 188912, 424948, 755370?\nAnswer: 1180178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -159560 to the nearest 1000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.3 and 9.39116.\nAnswer: -21.599668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 0*r + r)*(4 - 2*r - 4)*(0*r + 3*r - 5*r).\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -52188.\nAnswer: 1\/13047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 125 - 120. Suppose 3*d = 4*x - 0*d + 1, p*x = 4*d - 1. Sort -2, -3, 3, x.\nAnswer: -3, -2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.22 - 14738933.\nAnswer: -14738917.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -27*j**5\/5 - 8*j**3\/3 + 14. Find the third derivative of p(m) wrt m.\nAnswer: -648*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(4*(sqrt(162) - (sqrt(162) - -2*(-1 + sqrt(162)))) + -1)**2 + 4.\nAnswer: -6048*sqrt(2) + 62509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 31856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-27)\/(-2))\/((-1)\/2). Let k = -13 - b. Let n = k - 6. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1) + (35 - 23) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 6, 31, -5, 10 in increasing order.\nAnswer: -5, -3, 0, 6, 10, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 20. Suppose -4*o = -8*o + 4. What is the highest common divisor of o and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3\/5 (b) -5 (c) -96974\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12\/79 + 831\/790. Calculate the common denominator of z and -1\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 >= 414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610*n + 5*a - 41 = -613*n, -n + a + 3 = 0 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -3*p**4\/4 - 5*p**3\/6 + p. Suppose 3275*k - 3427*k = 152. Let q(j) = -j. What is k*x(m) + 5*q(m)?\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*l + 378 = 132*l. Let t(p) be the first derivative of l + 2\/9*p**3 - 1\/2*p**2 + 1\/4*p**4 - 2\/3*p. Factor t(k).\nAnswer: (k - 1)*(k + 1)*(3*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**4 - 2*f**5 - 2*f**4 + (3*f**2 + 2*f**2 - 7*f**2)*(f**3 - f**3 + 2*f**3) + 199*f**5 - 184*f**5 - 684*f**5.\nAnswer: -675*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5900640, -5900641, -5900642, -5900643?\nAnswer: -5900644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6329 - -6339. Let z = 5 - -1. Suppose z*q - 4*q = 6. Solve f = 2*d, -3*p - d + 5 = q*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-10)\/(-4)) - 7. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/2 and 77\/1688.\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 34?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1022*k. Let z(r) = 3*r + 4. Calculate z(t(w)).\nAnswer: -3066*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -79708 (base 12) in base 3?\nAnswer: -22012211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4*m - 32, 61 = -2*u - m + 6*m. Let h = u + 11. Let j be h\/2*(-10)\/5. Solve -3*a + 5*x - 27 = 0, -2*x - x = -2*a - j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(1216) - (3 + sqrt(1216) + 3) - sqrt(1216)))**2 - -1*(sqrt(1216) - (-1*sqrt(1216) + -1)))*-6*-3.\nAnswer: 1440*sqrt(19) + 22194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 671793, 671789, 671783, 671775, 671765, 671753?\n\"Answer: -f**2 - f + 671795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 12*r = 3*r. Suppose -5*c - 84 = -3*c. Calculate the common denominator of 1 - r - (-297)\/c and -89\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 285294759 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25052*w**3 + 3857964*w**2\/7 + 21218076*w\/7 - 5324\/7.\nAnswer: 4*(w + 11)**2*(43841*w - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**3 - 9*l**3 - 6*l**3)*(-1 + 0 - 1)*(-2 + 0 + 5).\nAnswer: 96*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7015 - -1) + (60 - 67). What is the highest common factor of n and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00735 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/12*(12\/(-20))\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -y**6\/720 - y**5\/120 - y**3 + 3. Let t(w) be the third derivative of o(w). Factor t(q).\nAnswer: -q*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(10\/(-120)*6). Suppose 48 = a + a. Let d be ((-16)\/a)\/((-2)\/j). Do d and -26\/9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**8)\/(i**(-6)\/i))**(-17\/5))**(18\/5))**(-4\/19) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/26 and 85\/27145884.\nAnswer: 352896492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 9*t + 26, 6 = -19*t + 16*t + 3*h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 4*d**2 - 2*d - 4. Let o be v(3). Let b(z) = 16*z**2 - 1. What is b(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 104*k**2 + 158*k**2 + 34*k**2 as b + u*k + o*k**2 and give o.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 81. Let s be ((-16)\/10)\/(16\/z). Let q(u) = 0*u - s*u + 2*u. Let g(r) = -4*r**2. Determine g(q(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-164)\/8 - (-1)\/(-2). Let n be (-1 + 0)\/(7\/z). Let h(y) = n*y + 4*y - 5*y. Let p(i) = -3*i**2. Calculate p(h(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (23*11\/506)\/(2\/(-12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*q**3 - 163*q**2 + 163*q**2 + (q + 2 - 2)*(q - q + q**2) + 2 + 2*q**3 - 2 + (0 + 6*q**2 + 0)*(-3*q + 2*q + 3*q).\nAnswer: 30*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.076 in -0.1, 0.5, 0.2, 6, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 102*h + 530. Let w be k(-5). Suppose -4*x + 41 = 5*u, 5*u + 5*x = 58 - 13. Let s = 1 + 2. Sort u, s, w in ascending order.\nAnswer: w, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3690 or 5233?\nAnswer: 3690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 459, 438, 417, 396, 375, 354?\n\"Answer: -21*v + 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 19 = -4*a, -4 = -4*a - 0. Solve -l*q = -13*q - 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 - 113. What is the highest common divisor of h and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 424 - 24*h - h**2 + 23*h + 532 to the form t*h**2 + n + q*h and give n.\nAnswer: 956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.334 - 1.934. What is the second smallest value in g, -4, -1\/30?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -138929921?\nAnswer: -416789763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 87, 424, 751, 1068, 1375, 1672, 1959?\n\"Answer: -5*o**2 + 352*o - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-54)*3*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 24. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.38 + -2.18. What is the nearest to -0.1 in c, 4, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 8 - 1 - (23 - 19).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 10:08 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100001100010110111 (base 2) in base 14?\nAnswer: -a586b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bpbpooopop. What is prob of picking 1 b and 3 o?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of c**7\/70 - c**6\/20 + c**5\/20 + 16*c**2. Determine a, given that r(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3945 and 3954 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 74375937 to the power of 1\/3, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -363 - 4?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/1861 or -1?\nAnswer: 11\/1861","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + s + 44 = -3*s, -11 = -z + 5*s. Suppose -517 = z*d - 5940. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 6*k**2 - 9*k - 2. Let n(u) = -u**3 + 10*u**2 + 18*u + 4. Calculate -3*n(v) - 5*w(v).\nAnswer: -2*v**3 - 9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4908*t**4 - 5715 wrt t?\nAnswer: 19632*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbb when three letters picked without replacement from bhxbxqxhxxxtxqxttqh.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 3 + 25 = 0. Suppose -3*z + 29 - 47 = 0. What is the remainder when d is divided by 36\/15 + z\/(-10) + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6131 divided by -3\nAnswer: -6131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 1 + 16. Let c(l) = -4*l + 10. Let z be c(u). Let d be (188\/(-14))\/z - 10\/(-35). Solve o - d + 2 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) + (-26)\/(-10). Let n(w) = 7*w**2 - z*w**2 + 2*w**3 + 1 - 2*w - 3*w**3. What is the units digit of n(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 2*t - 4. Let f be -4 - (1 - 0 - 3). Let a be s(f). Solve 4*h = -n + 2, -a*n + 4 = 3*h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mkssqmkmmmkmskkkm. Give prob of picking 1 q and 1 k.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4*p - 54. Let c be j(14). Calculate the greatest common divisor of c and 33.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17 or 1316?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-72)\/6)\/(-2) - 3. Suppose -5*d + 38 = o*w, 3*w = 5*w + 4*d - 24. Solve 4*k = -w, 2 = -0*p + 3*p + k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**6 + 169*f**4 - 2356*f**3 - 589414*f**2 + 4*f?\nAnswer: 240*f**3 + 4056*f - 14136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-102) + 103\/(-17) - (-623)\/105?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 678900288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*w - 72 + 36. Let s(z) = z**3 - 2*z**2 + 3*z - 6. Calculate s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, o: 1, f: 2, b: 6}. What is prob of picking 2 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 772180395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7\/28)\/(13\/8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/11 - (5 + 6)) + 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -470 - -466. Let i = 17 + -7. Sort i, f, 0, 1 in decreasing order.\nAnswer: i, 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, f: 1, i: 1, l: 2, m: 14}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/(-90))\/(3\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 1)*(-1036 + 1036 - 50*k + (0 + 1 - 3)*(3*k + 2*k - 4*k) - 2*k + 2*k + 2*k).\nAnswer: -150*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000030452 rounded to six dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.7 - 0.3. Suppose -h - z = 6, 0*z + 4*z = 2*h - 18. What is the second smallest value in -0.2, h, 6, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 0.2 (b) -2 (c) -1\/3 (d) -6018 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 191*f**5\/20 - f**3\/2 + f**2 - 8*f. What is the units digit of c(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62533691 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13499062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 291 and 11737?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, -73, -181, -343, -577?\n\"Answer: -3*d**3 - 51*d + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1015740 divided by -2430.\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 + -56. What is the remainder when 93 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 - 3*u**2 - 9*u + 6. Let w be 5*(-2)\/(-25)*15. What is the hundreds digit of a(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*k = -27, l - 9 = -0*l - 4*k. Calculate the remainder when ((6\/l)\/1)\/((-2)\/(-459)) is divided by 54.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -48*g - 4. Let b be s(-14). Let r = b + -401. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rfpdjzfdprdp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18962, 75838, 170630, 303338?\nAnswer: 473962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 4*q - q**3 + (-8 + 18 + 3*q**2 - 4)*(2*q + 2*q - q)*(-4 + 4 - 2)*(0 + 5 - 4).\nAnswer: -19*q**3 - 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 40*q - 243. Determine h(4).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183791 + 5*w**2 - 9*w**3 - 183791 + 6*w**3 - 5*w**2.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 760383 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 4*m**2 - 3*m - 1. Let x be j(-4). Let v be -24 - -26 - (-1)\/((-1)\/(-3)). Let w = -3 + 8. Solve v*h - 22 + 9 = -r, x = w*h + 2*r for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9*f**2 - 20*f. Let s(r) = 585*r + 3*r**2 + 549*r - 1127*r. Determine -17*s(a) - 6*u(a).\nAnswer: 3*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310015 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksd when three letters picked without replacement from djjjjjjjjwwdjwjrwwks?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -1, -0.086, -1354, -3 in decreasing order.\nAnswer: -0.086, -0.3, -1, -3, -1354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 141472125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w - 3. Let g be (0 + -2)*(-3)\/6. Let u be t(g). Solve u = -0*p - p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -8*b**3 + 6*b**2 - 6. Let v(y) = -3*y**3 + 2*y**2 - 2. What is 2*t(o) - 7*v(o)?\nAnswer: 5*o**3 - 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -1, 0.3, 3 in descending order.\nAnswer: 3, 0.3, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9300 and 847248?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*z = 260, 0 = q + q - 5*z - 130. Suppose 5*r + d = r - 67, 4*r + 3*d + q = 0. What is the common denominator of r and (-210)\/48 - -7 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03 + 0.43. Let p = 0.5 - y. Let u = 0.3 + -0.8. Which is the nearest to p? (a) u (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-1) + 59\/((-32509)\/6989).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*y - 368*y - 2*y**2 + 274355*y**3 - 274359*y**3 + 2*y**2.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4 + (-330)\/20. Let y = r - -43. What is the remainder when y is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/320 and -127\/784680?\nAnswer: 6277440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 + (-2 - -3) + 1. Let s be 235 - -1*(3 + m). Suppose 47*p = 41*p + s. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (29\/(-9) + 3)*-24 and 4\/14 - (-6)\/28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11304114 - -213?\nAnswer: 11304332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/45*(-36)\/(-8).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - m = -17981 - 37109, 0 = 5*i + 2*m - 91815. Does 166 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.2, -5, 4, -2.\nAnswer: -19.2, -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4993 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a minute in seconds?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 99895 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1222301020021 + 10?\nAnswer: 1222301020031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48677, -194757, -438223, -779075, -1217313?\nAnswer: -1752937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*u = -13, -4*u = 4*r - 8*r + 36. Suppose -9*j + 10 = -r*j. Is -2*(-5)\/j + 1664 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -1726126.\nAnswer: -14\/863063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*v = -81*v - 60 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/3*8\/30*11*(-48)\/(-352).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-159)\/(-15) - 4\/(-10). Suppose 0 = 2*s - 3*i - 13, 5*s + 3*i + t = -9. Which is greater: s or 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 + 1*902\/(-700). Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 37270 = 3*t - b, -5*t = 7*b - 62134. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 + -1. Let l be ((-4)\/(-12))\/((-2)\/s). Solve -4*b - l = -2*g - 12, 2*b - 5*g = -15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + m - 223 = 0, 3*h - 36*m - 137 = -35*m. Let g(u) = u**2 - 3*u + 5. What is the smallest common multiple of h and g(8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4850 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 29\/3 + (-12)\/18. What is the greatest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -3*u + 12, -2*l - 3*u = -0*u - 21 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-1 - (4 + 6)\/2). Solve 3\/2 + 2*a + 1\/2*a**k = 0 for a.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 47. Let i = -28 + f. Solve 1 - i = u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127198, 254376, 381552, 508726?\nAnswer: 635898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 4379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t - 6. Let l be u(-4). Is ((-1)\/l*-1)\/((-1)\/216) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.982 and -1.03.\nAnswer: 6.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 2*x - 6, 1101*g - 6 = 1102*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52*-8.07.\nAnswer: -419.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 348 divided by 3?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -230, -345, -460, -575, -690?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 699863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - 51\/(-12))*8. Let s be (-56)\/c*30\/7. What is the third derivative of 3*h - s*h**3 + 11*h**2 + 6*h**3 - 3*h wrt h?\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a. Let t(v) = -v + 5*v - 4*v + 2*v. Calculate l(t(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**4 - 61*w**3 + 999*w**2 - 4728257*w wrt w.\nAnswer: 24*w**2 - 366*w + 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-66)\/4*4\/(-6). Let j be (-68)\/12 - 2\/6. Let u = j + f. Solve u*l + 5 = 4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -63, -6, 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119.27*1.871.\nAnswer: -223.15417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/8 + 34\/8. Let l(w) = -w**3 - w**3 - f*w - 2 - 4*w**2 + 0*w**3. Let o = -45 - -43. Give l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 3*n. Suppose k = -2*k + 12. Is 4 a factor of i(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t**2 + 1 + 4*t**4 - 12*t**4 + 5*t**4 - 4*t**3 as j*t + b*t**3 + q + a*t**2 + w*t**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 686*f**3 - 105*f + 105*f - 685*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76.5209mg to nanograms.\nAnswer: 76520900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 11:34 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 + (17 - 20) - 3) + -110 + 18?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + 4 + 1 + sqrt(1584) + -2).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 - 10*j**2 - 19*j - 40. Calculate g(12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1919 and 646?\nAnswer: 65246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -4, 6.7301, -11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - 69. Let o = 140 + p. Round o to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 AM and 12:50 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 - 2*y**2 + 1. Let l be a(1). Suppose d - l*s = -4*s + 3, -s = -5*d + 15. Suppose 3*j + d = 12. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100265 is divided by 271?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*m + 2*a + 10, -a + 5 = m. Suppose -2*u + m*u - 22 = 0. Let l = -92 - -134. What is the remainder when l is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-858)\/(-858))\/((-10)\/(-72)*((-18)\/4)\/(-3)).\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5364 = -8*o + 5652. Solve -4*y + 32 - o = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308 (base 13) to base 15\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(10)\/(-1*sqrt(2) - sqrt(2)) + sqrt(5) - (sqrt(5) + sqrt(20)\/sqrt(4) + 5)).\nAnswer: -10 - 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2499, -2505, -2515, -2529, -2547?\nAnswer: -2569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.5 (b) -3\/2 (c) -1.59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w = -28*w + 10. Let i(a) be the first derivative of 3\/5*a**4 + 3 + 0*a + 8\/5*a**w - 4\/5*a**5 + 16\/5*a**3. Let i(l) = 0. Calculate l.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(7) - (sqrt(7) + (sqrt(77)*2)\/sqrt(11) + sqrt(7))) + sqrt(7) + sqrt(7) + -5).\nAnswer: 3*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -7. Suppose -5 - u = -3*j. Solve j*n + 0*n = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 242\/60 - (-42 - -46). Let f(q) be the second derivative of 0 + 0*q**2 + j*q**4 + 1\/30*q**3 + q + 1\/100*q**5. Let f(m) = 0. Calculate m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - 4*j)*(-4 + 4 - j) + (-1 + 2*j + 1)*(2 - 2 + 2*j) - 22 - 10 + 396*j - 395*j + 2*j**2.\nAnswer: 8*j**2 + j - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -919 + 1433. Let u = -517 + y. Which is the biggest value? (a) u (b) 0.12 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 14150 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + 54 + -51 - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7631755174 to the power of 1\/5, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 11*r**2 - 288*r + 14. Let u(f) = -8*f**2. Calculate b(u(m)).\nAnswer: 704*m**4 + 2304*m**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48270 or 45158?\nAnswer: 48270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -17320 (base 12) to base 10\nAnswer: -33288","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 5*m**2 - 7*m - 23. What is v(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**20\/(x\/(x*x**(1\/8)\/x)))\/(x*x\/x**(-4\/15))**(-46\/3) assuming x is positive.\nAnswer: x**(19397\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2 + 2. Suppose 4*y - 3*b = g*b + 7, 0 = -2*y - b - 7. What are the prime factors of y - ((1 - -7)\/(-4) + -10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*o**4*x - 64*o**4 - 2*o**2*x + 2*o**2 + 4151*o*x + x wrt o?\nAnswer: 96*o*x - 1536*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -20\/3 - 65\/2*t**2 + 215\/6*t**3 - 75*t = 0. What is t?\nAnswer: -1, -4\/43, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -5*y. Which is greater: 7 or y?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a75 - 4?\nAnswer: -5a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**4 + 25*r**3 - 35*r**2 - 145*r + 150 = 0. What is r?\nAnswer: -5, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 1\/15 (b) 1 (c) 1\/4 (d) -0.3 (e) -0.029 (f) 8 (g) -0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 41 divided by -732968\nAnswer: -41\/732968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, m: 7}. Give prob of picking 2 m and 1 b.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*c + 12*c + 20 = 0. Suppose -3*v - 3 = -5*s + 1, -s + c = -2*v. What is the closest to 0.06 in -1, -5, v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*(4\/(-6) - (-12 + 124))*27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + 2 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 170*q**2 + 1230*q - 1589. Determine l(-177).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 1:05 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**3 + 3*m**2*p**3 - m*p + 45*p**3 with respect to m.\nAnswer: -9*m**2 + 6*m*p**3 - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(sqrt(3) + sqrt(3) + 0) + -3.\nAnswer: 2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -346855 divided by 2\nAnswer: -346855\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-56)*(-128)\/(-96)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 133, 326, 603, 964, 1409?\nAnswer: 1938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 64448 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15414089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.71 and -4.1?\nAnswer: 2.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1503*t + 1498*t - 25 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-3)*(-1230)\/20. Let h = -42 + i. Let y = h - 26. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32605 by -5.\nAnswer: 6521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 1:53 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 2173320.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 470 a factor of 218550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h + 5*x + 14 = 0, -2*x = -3*h + 14. Let k be ((-12)\/7)\/(5 - 296\/56). What is the greatest common factor of k and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 501\/15 - 6\/15. Suppose g - 4*g - 3*o = -v, g = 2*o + 23. What is g rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66828 by -182.\nAnswer: -33414\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 2*d - 1. Let i(a) = -10*a**3 + 95*a**2 - 30*a - 15. Let j(o) = -i(o) + 15*y(o). Determine v, given that j(v) = 0.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 - 201 = 28*u. Let d be -5*((-4)\/u - (-532)\/(-855)). Solve -3*h - 2*r = 2, -h - d*r - 6 = -4*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 982, 1926, 2858, 3772, 4662, 5522, 6346, 7128?\nAnswer: 7862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7782 and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 792 and 54120.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12012732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -26*l + 209. Is u(0) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + s**2 - s**2)*(-12 - 5*s + 12) + 5*s**3 - 3*s**3 + 0*s**3.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*5*2\/(-2). Suppose -9 = j*f + 1. Is 1\/f - (-258)\/12 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14221 is divided by 2369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*n + 22 = -26*n. Find the third derivative of -47*r**3 + 70*r**n + 3187 - 3188 - 23*r**2 wrt r.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {i: 5, k: 14, s: 1}?\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11500 (base 7) in base 5?\nAnswer: 43424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5\/7*r**3 + 1\/7*r**4 + 2\/7 + 9\/7*r**2 + r = 0. Calculate r.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -422*g*p**2*y**2 + 11*g*p**2*y + g*y**2 - 2*g*y - 3*g - p**2*y**2 + p**2*y wrt y.\nAnswer: -844*g*p**2 + 2*g - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 25041.\nAnswer: -2\/25041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 10*h**2 - 15*h - 25. Let x be k(9). What is the highest common divisor of 250 and x?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23488040*a**4 - 26545292*a**2?\nAnswer: -563712960*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5969199 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/28 + 12\/(-42) - (-6 - -18)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18185*w + 36376. Calculate u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 3\/306043588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 37 - 63 + 52*p**2 - 26*p + 130*p. Differentiate k(i) with respect to i.\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00668799 to five decimal places.\nAnswer: -0.00669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6893163863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(171) - (sqrt(171) - sqrt(171)*-1)) + sqrt(171) + -2*(sqrt(171) + -1 + sqrt(171)))**2 + 5.\nAnswer: -120*sqrt(19) + 2766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/3 + 11*u**2\/3 + 364*u\/3 + 676\/3.\nAnswer: -(u - 26)*(u + 2)*(u + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 9*d + d)*(d - d + 2*d**2) - 2*d**3 + 3*d**2 - 3*d**2.\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*y + 33*y + 2958 = -4*y for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((44\/(-8))\/11)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let b = 1155 + -1152. Let p(g) be the third derivative of 0 + 0*g**4 - b*g**2 + 1\/15*g**5 + 0*g + 0*g**3. Calculate p(t(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 250400 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30b0 + 5d9?\nAnswer: 3699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 2*o**2 + 2*o - 1. Let r be p(2). Solve -3*n + 15 = -r*v - v, -5*v - 17 = -2*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -4 (c) 1.9 (d) 196\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -233 + -244?\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 99*q**2 - 74*q + 297. Give c(50).\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -679673*q - 2 + 2038962*q + 2 - 679644*q - 679640*q.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -120, -174, -230?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/216 and 101\/41010.\nAnswer: 1476360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3780.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3802533 to two decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2872971?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*u + 7*b + 17391, -4*u - 4*b + 34796 = 0. Does 16 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 12*x**2 + 2*x - 15. Let h be y(12). Suppose -7 = v - 4*m, -h + 0 = v - 5*m. Solve -2*d = -d - v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7\/3, -2\/3, -2\/7, -0.4?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189*l**2 + 17*l**2 - 23*l**3 + 113*l**4 + 22*l**3 - 4*l**2 wrt l?\nAnswer: 2712*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133115 (base 7) to base 15\nAnswer: 7685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1953.57 + 2082.6. Round k to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 228 and -7238816.064?\nAnswer: 7239044.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 2040 + 2058 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/12*102\/(-3). Let t be 1050\/(g\/(-6) - 3). What is t rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/36 + (-1)\/(4\/(-15)). Suppose 6*y + 285 = 9*y - 5*c, p*y - 363 = c. Let w = 32 - 2. What is the greatest common divisor of y and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10303831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*r - 583 = 0, -3*h + 356 = -7*r + 2*r. Let x = h + -219. Let t = 192 + x. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a8611 + 0?\nAnswer: 1a8611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -597*k - 636*k + 1236*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 153*q - 4796. Let x be k(-44). Factor x*j + 4\/5 - 4\/5*j**2.\nAnswer: -4*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64538000 rounded to the nearest 1000000?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q + 1. Let u(v) be the first derivative of v**2\/2 - 1. Let y be 14\/(-4)*72\/(-126). Give y*p(f) + 3*u(f).\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29730227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 407 - 13938?\nAnswer: -13531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -102\/29, -0.5, 37\/5, -0.7, 1.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnon. What is prob of picking 1 n and 1 o?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 414, 1434, 3424, 6708, 11610, 18454, 27564?\nAnswer: 39264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -639 + 640. What is the nearest to f in 0.04, -1\/11, -1\/22?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 9*f**2 - 35*f - 104. Determine p(-3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -d + 89. Suppose 4*p + d = -4*o, 0 = -0*o - 5*o + 3*p - 175. Let r = o + 56. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*g = -53855, 6*v - 2*v + 4*g - 71808 = 0. Suppose -11*w = 4465 - v. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 648\/(-10)*(-190)\/4 + 0. Let d = p - -865. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 142, 321, 582, 931, 1374, 1917, 2566?\nAnswer: 3327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2004 is divided by 77?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*o**2*x + 540*o**2 - 689*o*x + 360*x + 1083 wrt x?\nAnswer: 4*o**2 - 689*o + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3851665?\nAnswer: 5, 367, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 455258.28 rounded to the nearest ten thousand?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -421.4 + 382. Let z = g + 2. Round z to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2 + 0 - 2 + 0 + (-2 - 3 + 4)*(0 - 2 + 1) + 1 - 2 + 3)*(5*y + 18 - 18).\nAnswer: 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5663100 = 113*w - 242*w. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3757 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 306814 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -16*j - 5. Let g be l(-5). Suppose -m + 4*c = -31, 2*m + 2*c + 3*c - g = 0. Calculate the remainder when m is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 728 - 704. Calculate the remainder when 62 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 762*n - 16844. Give t(-23).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 107 and -3.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 29451\/(-2754) - -6. Let l = -47\/54 - q. Factor 0 - 2\/17*u - l*u**2.\nAnswer: -2*u*(7*u + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 6:44 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2601)\/(-612) - 369\/84)*-1.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - q + 7 = -0*q, 8 = 2*g + 2*q. Solve -2*i = -3*t - 12, 20 = g*i + 14*t - 19*t for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + m = -11, -13*h - 4*m + 24 = -8*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -11*r + 155. Calculate the remainder when 60 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 34323222?\nAnswer: 34323221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2090 and 1703958?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*s = -66, -5*s = 4*h - 3*s - 320. Round h to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436021987 to the power of 1\/2, to the nearest integer?\nAnswer: 49356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -53 and -327745510994.\nAnswer: -327745511047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 - 150*g**2 - 639*g - 486.\nAnswer: 3*(g - 54)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1 + (1 + -1 + sqrt(245) - (sqrt(245) + (sqrt(245) - (-1 + sqrt(245))) + 1))**2 + 1 + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 12*y**3 + 118*y**2 - 42*y + 27. Give u(-11).\nAnswer: -1205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -28. Let y = -17 + m. What are the prime factors of y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 18. Let a be d(-11). Suppose -118 + 102 = -a*k. Is 1322\/4*56\/k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 17534 = -l + 53633, 3*l = -5*s + 108290. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 10 - 2 = 0. Let d(k) = 16*k**2 + k - 2. Is 30 a factor of d(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**22*q)\/q)**(-35\/2))**(-4) assuming q is positive.\nAnswer: q**1540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 994.7037m to centimeters.\nAnswer: 99470.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+11657172\nAnswer: 11657171.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 3. Let r be o(0). Solve 0 = -z - 2*z - r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 702\/9*2\/12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 2:43 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3451 (base 7) in base 13?\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 83 and -73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13485055?\nAnswer: 5, 53, 151, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.73 - 4.77. Let w = n - 17.9. Round w to zero dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 n when three letters picked without replacement from {v: 2, b: 2, k: 3, n: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 5.287705.\nAnswer: 5.287705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 3*q. Suppose 6 = q*z + 2. Suppose 0 = z*b - 6*b + 316. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125194?\nAnswer: 2, 62597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 497.999993692 + -498. Round a to seven decimal places.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {n: 1, q: 2, x: 1, l: 2, m: 1, v: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19*s + 55*s + 8 - 10*s**2 + 8.\nAnswer: -2*(s - 4)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 16. Let o be l(13). Solve 1 + o = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40278 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r = 16*r + 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eimiiiiieeim. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*p = 2*f + 73, -5*f = -3*p - 342. Let j = 84 - f. Let u(x) = -3*x**2 - 9*x**2 + j*x**2. Let v(g) = -18*g. Determine u(v(d)).\nAnswer: 972*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -117. Let k = w + 87. Let s = -44 + k. Which is the second smallest value? (a) -1\/6 (b) 1\/7 (c) s (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-2))**(1\/25)\/((w\/w**(-6))\/((w\/(w*w**(8\/3)\/w))\/w)) assuming w is positive.\nAnswer: w**(-728\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1003, -2038, -3089, -4162, -5263, -6398, -7573, -8794?\nAnswer: -10067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131 - -4.98358.\nAnswer: -126.01642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33461*a**3 - 16729*a**3 - 16730*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 - 146. Let n = q - -1. Which is the third smallest value? (a) 0 (b) 1 (c) n (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 3*a + 20, -23*a + 111 = -4*h + 37 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-1)*(-8)\/12. Let u(i) = 11*i**2 - 5 - 350*i + 346*i - 12*i**2. Let o be u(d). Are -1\/76 and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -70*g - 3. Let q = -44 - -59. Let k = -19 + q. List the prime factors of n(k).\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533002895?\nAnswer: 5, 106600579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 4 - 1. Let y(m) = 13*m - 5. List the prime factors of y(x).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jheeewejejcwjhej. Give prob of sequence ewh.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 353.6006 millennia?\nAnswer: 35360.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 6*n + (-4 + 0 + 6)*(-3 + n + 3))*(0 + 0 + 5).\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 190 + 201 = o, 0 = 4*d - 3*o + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/75)\/((-15)\/225). Factor 3\/5*i**3 + 9\/5*i - a*i**2 - 3\/5.\nAnswer: 3*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -4 - (-39 - -29 - (4 - 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8437*b**3 - 13*b**2 - 1079727*b?\nAnswer: 50622*b - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose -6*k - 52 = -112. Calculate the highest common factor of k and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60.7 - 53. Let g = m + -0.7. Let j(x) = 3*x**3 + 2*x + 3. Let c be j(-1). Is c less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 less than -426?\nAnswer: -424.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189)\/(-162)*(-21 + -3)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.3, 5, 2\/9, -2\/321, 0.06122?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 10) to base 13\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, 2, -1, -4, 5, 164 in decreasing order.\nAnswer: 164, 12, 5, 2, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -53800 rounded to the nearest one thousand?\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2412 and 268?\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v = -28*v - 64. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**13)**(2\/5) assuming j is positive.\nAnswer: j**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 2 + (-1 - 2 + 2)*(1 + 0 + 0) - 2 - 4 + 3 + (-4 + 3 + 2)*(0 + 0 + 2)*(-3 - 1 + 3))*(2 - 2 + 3*c).\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(371\/5565).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -440?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 9 = 26 - 14 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -38756, -77501, -116246, -154991, -193736, -232481?\n\"Answer: -38745*a - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*s**2 + 6034*s**3 - 5969*s**3 + 14*s**2.\nAnswer: 65*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0. Solve 2*f + 5*y + 16 = 0, 5*f + y - 6 = -l*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 29*q - 2 = -4*d, q = 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(91) + -4*sqrt(91)) + sqrt(91))\/(sqrt(28)\/sqrt(100)).\nAnswer: 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13280 and 5312?\nAnswer: 26560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(2\/3)*k**(2\/11))\/((k**(-12)\/k)\/(k**(-1\/3)\/k)))**(1\/14))**(-2) assuming k is positive.\nAnswer: k**(-446\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*q - 11 = -4*y, 3*y - 8 = -q. Suppose y*m - 29 = 5*j, 5*m + 2 = 2*j + 25. Suppose 2*l = -m*l + 630. Is l a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2986680 to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212 - -231. Suppose -3*h + 18 = 3*g, 22 + 10 = 4*g - 4*h. Solve -g = -4*r - f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 735440 and 5072.\nAnswer: 735440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**2\/3 + 2065*a\/3 - 94830 = 0.\nAnswer: -522, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34607593 + 34607593 - 7297*h**2)*(5*h - h - 2*h) to the form t*h + v*h**3 + i + r*h**2 and give v.\nAnswer: -14594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -176*u + 3695. What is l(21)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 333044619 and 1?\nAnswer: 333044619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 z when four letters picked without replacement from {w: 1, z: 11, n: 5}?\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 773514 - -154166. What is y rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.269889529 - -1.26978. Round p to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(21) - sqrt(105)\/sqrt(5)*-4)\/((sqrt(189)\/sqrt(3)*-6)\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 163356 divided by -2\nAnswer: -81678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 6\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-21)*42\/70*23\/23*11\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-2\/19)\/q**(-4))**(-37))**(1\/4))**(3\/4) assuming q is positive.\nAnswer: q**(-4107\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of 11*i**3\/2 + 389*i**2\/2 + 84*i. What is the hundreds digit of p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h. Let q be m(-2). Suppose t - 2*p = 6 + 14, -q*p = t - 12. Is t a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 2:23 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 23*u + 22*u**3 + 19*u - 37*u.\nAnswer: 22*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42664152 divided by -10666038?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49 (base 16) to base 11.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224, -208, -186, -152, -100, -24, 82, 224?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -5. Calculate the least common multiple of 8 and ((-6)\/(-4))\/(o\/(-16)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2674062 is divided by 480.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 21 (c) -6 (d) -0.45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kks when three letters picked without replacement from {k: 3, s: 5, t: 3}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 1. Let w = 6666 + -6648. What is the greatest common divisor of w and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*z - 7. Calculate the remainder when 14 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 13 = 69. Solve -2*s - a = 3 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 - 3738*j**2 - 1179195*j - 9195864.\nAnswer: -3*(j + 8)*(j + 619)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 15*u - 21. Let k be b(12). Let z be k\/(-5) + -51*1. Let g be 12\/z + (-634)\/(-18). Solve -3*o - g = 5*q, 5*o + 0*q = 3*q - 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(19) - sqrt(57)\/sqrt(3))*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 27. Let u be (-9)\/f - 18*(-4)\/(-8). What is the closest to u in -3, 0.4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -53634*v**2 - 19*v + 30. Let n be g(-30). Round n to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 8*x - 49)*(207*x**4 - 79*x**4 - 18*x**4) + 3 + 3*x**5 - 3.\nAnswer: -877*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t - 86 + 35 + 33 + 29 - 9.\nAnswer: -8*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813 + 144 = 29*d. What is the remainder when 62 is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + -2)*(-48)\/(52752\/785)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*t + 16, -2*g - 5*t = -0*t + 7. Let a be (6\/2)\/(g\/(-32)). Let l = 30 - a. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0, 51 in increasing order.\nAnswer: -1\/2, 0, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 27402906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**12))**(4\/21)*(w\/w**(18\/11)*w*w)\/w**30 assuming w is positive.\nAnswer: w**(-2381\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r - 6*r + 4*r + 6*r - 10*r. Let v(c) = -50*c + 3*c + 6*c. Calculate h(v(j)).\nAnswer: -123*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 31 + 16*b - 15.\nAnswer: 16*b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from uuwuucyuyyxcuuuux?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/87, -3\/7, 43, 17\/2, -0.3 in increasing order.\nAnswer: -3\/7, -0.3, -2\/87, 17\/2, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a = -52. Suppose -4*q + a = -2*q. Solve 7 + q = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i. Suppose 6*b - 3*b = 9. Suppose -1 = -b*p - 5*m, 4*m - 3*m + 11 = 5*p. Calculate s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3007, -6015, -9025, -12037, -15051, -18067, -21085?\n\"Answer: -l**2 - 3005*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + m + 2*m)*(4 + 1 - 2)*(0 + 3 - 4) to k + a*m and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-146)\/(-12) - (-14)\/21 and 75\/(-12)*3\/(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3071024 by 139592.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:06 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 4 (c) -3\/16 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a + 22*a - 7944. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 2, -5 in descending order.\nAnswer: 3, 2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241182.\nAnswer: 2, 3, 13399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 + 207*g**2 - 4391*g\/2 - 8463.\nAnswer: -(g - 403)*(g - 14)*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*u + 12, -q + 1 = -3*u + 12. Let y(t) = -2 + 0*t + 5 + 2*t**u - 4 + t. Let n be y(-2). Solve 3*o = -n*d + 3 + 1, -o - 2 = 5*d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*v**2 - 51*v**2 - 56*v**2 + 172*v**2 - 245.\nAnswer: 10*v**2 - 245","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 - 7*u - 20. What are the prime factors of i(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*y - 286 = 641 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 424*f - 14*f + 508*f to the form p*f + y and give p.\nAnswer: 918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -5 + 2*j + 140*j**2 - 12*j - 142*j**2 + 3*j**3. List the prime factors of t(5).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w = 6. Suppose -2*q + w + 6 = 0. Suppose 5*z + 9 = q. Which is the second biggest value? (a) z (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 22 - 8. Let u = z - -47. List the prime factors of u + 1 - (-3)\/1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 525187077 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 4*q**2 - 2*q**2)*(2*q**2 - 2*q**3 - 2*q**2) - 124*q**5 - 116*q**5 + 149*q**5.\nAnswer: -97*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 6*l**2 + 7*l. Let z be i(5). What is the units digit of z\/18*9\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u + 0*u - u**3)*(32 + 11 - 11 + (7 + 1 - 4)*(-1 + 0 + 3)) + (3 - 3 + 2*u**2)*(0*u + 4*u - 3*u) in the form z + n*u + t*u**2 + c*u**3 and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = 20*o + 952. Let k = o + -234. Let i(g) = -8*g**2 + 5. Let w(j) = 7*j**2 - 4. Let u = 6 + -1. Give k*i(f) + u*w(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 71?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 17086*m - 1. Let f(i) = -12*i. What is a(f(h))?\nAnswer: -205032*h - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 b when two letters picked without replacement from {p: 4, j: 6, b: 3}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = f, 6*t - 5*t - 5*f = 4. What is the remainder when 62 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -660068, -660069, -660070, -660071, -660072, -660073?\n\"Answer: -y - 660067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185*r**2 - 745*r**2 + 1708*r**2.\nAnswer: 778*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.9 + 28.4. Let s = -0.5 - n. Let g = s - -21.5. What is the closest to -1 in 2\/11, 1\/8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 59 + 674. Suppose j - 796 = -j. Let l = p - j. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*n + 21675 = -8441 - 4188. What is the smallest common multiple of n and 20?\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**5\/20 + s**4\/2 - 2*s**3\/3 - s**2\/2 + s. Let i be d(-6). What is the greatest common factor of i and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*g + 4, 3*g + 5 = -2*g. Let l(t) be the second derivative of -1\/12*t**4 - 7\/6*t**3 - 2*t - 9\/2*t**2 + h. Give l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-8 - -10 - 1). Sort 2, 0.04, -0.2, 0, y in decreasing order.\nAnswer: 2, y, 0.04, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(78) - sqrt(78))*-2 + 2*sqrt(78)*3)*-5)\/(1*-3*(sqrt(216) + sqrt(6))*-5).\nAnswer: -10*sqrt(13)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*v - 159*v - 284*v + 377 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2228322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130 + -120. Find the third derivative of -1 - f*q**2 + 3*q**2 + 1 + 37*q**6 wrt q.\nAnswer: 4440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = -5*o + 1771, 1762 = 5*o - v. Suppose 7*k = -3*z + 2*k + o, 0 = -4*k - 20. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/208 and 83\/56.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 98 = -6*y - d, 5*y - 3*d - 86 = 0. Let x be 1\/4 - 1\/4. Suppose -3*r + 0 + 21 = x. What is the remainder when y is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s + 1 = 22*s + b, 5*b - 5 = 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7) + 450\/(-210)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*d - 12*d - 8*d + 1 to the form w + r*d and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + d**2 - 14*d**2 - 149*d + 145*d - 2 + 41*d**2 - 10*d**2 to the form v*d + q*d**2 + s + k*d**3 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 0*l**2 + 0*l**2. Let s(a) = 9*a**2 - 6*a. Let x(t) = -8*t**2 + 5*t. Let u(q) = 5*s(q) + 6*x(q). Give u(r(m)).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1574*b**4 + 9043*b**2?\nAnswer: -37776*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/10)\/(25\/25)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -1 + (7 - 4) - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 22063660454999.\nAnswer: 22063660454999.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(1\/2))**(-29)*a*a\/(((a\/a**(6\/5))\/a*a)\/a*a*a)*a\/((a**6*a)\/a) assuming a is positive.\nAnswer: a**(-473\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25993.697 rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*j = 5, -3*l + 2*j + 12 - 1 = 0. Which is the third biggest value? (a) -4 (b) -1 (c) l (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266340 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.1 (b) 2\/5 (c) -0.8 (d) -2\/7 (e) 96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213394?\nAnswer: 2, 23, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-14))**(-1)*(r\/r**(-8\/7))\/(r*r**30*r) assuming r is positive.\nAnswer: r**(-314\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1, -4\/15, 0.4 in decreasing order.\nAnswer: 1, 0.4, -0.1, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2439668.4 months?\nAnswer: 20330.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 - 123. What is the remainder when 27 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-24)\/28*-6009 - 18\/(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1370.2 - -1370.200009187. What is d rounded to seven dps?\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12188256 divided by -12?\nAnswer: 1015688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(5 + -1*sqrt(245)))**2.\nAnswer: -2520*sqrt(5) + 9720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -0.167.\nAnswer: 1.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*i + 2 - 2 + 4*i as a*i + m and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -443*859\nAnswer: -380537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.922 + -1.885. Let m = -0.037 + c. Sort 2, 2\/9, -1\/3, m.\nAnswer: -1\/3, 2\/9, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000164924 rounded to 6 decimal places?\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2840*x - 85913 = -259153 for x.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16932, -16933, -16934?\nAnswer: -16935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4178091349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*n**3 + 116*n**3 + 125*n**3.\nAnswer: -91*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 - 27. Solve -k = -3*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.050927 * -1\nAnswer: -0.050927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4830 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 207\/1309? (a) -3 (b) -2 (c) 0.4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7\/4))**35*(a\/a**(-2))**(-32) assuming a is positive.\nAnswer: a**(-629\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 8:51 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 41*w**4\/24 + 4*w**3\/3 - w**2 - 35*w. Let n(a) = -19*a - 4. Let g(x) = -13*n(x) - 6*q(x). Let o(h) = 3*h. Give g(o(k)).\nAnswer: 3*k + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 - f - 1. Let a(r) = -7*r**2 - 2*r - 2. Let d(q) = -2*a(q) + 5*g(q). Calculate d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167061*t - 167107*t = 4508 for t.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**2 + 2*w**2 + 2*w**3)*(-5 + 3 + 4 + 3 - 2 + 1 - 5 - 3 - 8 + (-4 + 3 - 1)*(2 + 3 - 4))*(-5 + 0 + 4).\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/774 and -58\/1419.\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11*r**2 + 13*r + 11. Let f(o) = -5*o**2 - 6*o - 5. Let j(s) = 13*f(s) + 6*n(s). Let t(x) = -2*x**2 + 5*x + 9. Let a(i) = -j(i) - t(i). What is a(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 1 = -2*h. Let f = 15 + h. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2 + 6*h + 5. Give s(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/((-219)\/36) - 81\/(-7)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112 - 47. Let d = y - -5. What is the greatest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**5\/20 - 5*f**4\/12 - 7*f**3\/6 - 2*f**2 - 8*f. Let n be r(-4). Solve 4*v + 3*b + n = -b, -3*v - 6 = -b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*r - 37 + 138 + 655 = 0 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*(-119 + 118)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 2:22 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 22*x**2 + 10*x - 151. Determine f(-23).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3 - 21264*p**2 - 85130*p + 446712 = 0. What is p?\nAnswer: -7, 3, 10636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32\/163 - -11209\/1467. Calculate the common denominator of 8*9\/10*-1 and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21115 take away 86?\nAnswer: -21201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1176)\/686*42\/9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y = -108 + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -7.762 times -7\nAnswer: 54.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p + 217 = -4*l, -3*l - 162 = 3*p. Let s(g) = -g**2 + 19*g + 12. Let w be s(10). Let i = w + l. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*((-1)\/1)\/(-3). Suppose 2*v - 5*q - 15 = o*v, q + 3 = v. Suppose v = -4*x - 0*x + 20. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**5\/70 + 5*h**4\/42 - 2*h**3\/7 + 5*h + 3. Let c(u) be the first derivative of q(u). Factor c(l).\nAnswer: 2*l*(l - 1)*(l + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 14*h**2 + 11*h + 27. Let k be p(13). Let j be k\/(-2)*19\/((-38)\/52). Suppose -16*m = -j*m - 855. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:07 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -40*g + 1. Let m(j) = 38*j - 3. Calculate -3*f(b) - 2*m(b).\nAnswer: 44*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(0 - 0\/(-2)). Suppose 6*v = 5*v - 5. Sort -2, v, f.\nAnswer: v, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29194 + 71715. List the prime factors of o.\nAnswer: 101, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141 + 145. Let w = 64 - 29. Suppose -a + w = s*a. What is the greatest common factor of 21 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699310 is divided by 140?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 60*q = -34*q + 636 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 5*r**3 + 1130*r**2 + 14765*r - 15900 = 0.\nAnswer: -212, -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 32423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 19*v**2 - 3*v + 3. Let b be w(8). Suppose -6*l - b = 569. Let k = l + 473. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -43?\nAnswer: 7\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4745 = 69. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.23534138 and 0.5?\nAnswer: -0.11767069","meta":{"dup_signals":{},"source":"arithmetic__mul_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: What is prob of sequence uk when two letters picked without replacement from {c: 1, l: 3, q: 1, k: 2, u: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -0.173507\nAnswer: 10.826493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -4, -65, -5, -114 in descending order.\nAnswer: 29, -4, -5, -65, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2242, 8258, 18070, 31678, 49082, 70282?\nAnswer: 95278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 10 = 7*b. Let l be 4\/b - (-1 + -2). Suppose -a = l, -9 = 2*j + 3*a + 6. Solve y + 3*y - 20 = j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 27?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 75951329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 19*r + 41. What is u(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -1679*z - 258. Determine r(-1).\nAnswer: 1421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315 + 2*t**2 + 146 + 136 + 72 + 72.\nAnswer: 2*t**2 + 111","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**7\/360 - c**6\/360 - c**4\/6 + 4*c. Let l(q) be the third derivative of v(q). Factor l(s).\nAnswer: s*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 173719 and 4876?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 - 46. Suppose 5*r + 2 = 4*d + q, 5*r - 29 = 2*d. Suppose 2*l = 11 - r. Solve -l*n - 2*n = 2*k - 17, 5*k + 3*n = 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 26 = 2*f, -2*f + 58 = 3*d + d. Let a be (-133)\/(-4) - 8\/32. Let m = a - 21. Solve -c - d = -5*c, -4*s = -5*c + m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 + -0.4. Let t = -1.1 + z. What is the closest to t in 2\/7, -0.3, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -5*m + 19. Give t(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-9)\/3)*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 69?\nAnswer: -14\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 - -73. Suppose -8*a + 3*d + 43 = -3*a, 5*a - 38 = -2*d. What is the smallest value in -3\/4, -1\/8, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in -12, 6, -6\/53, 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-5) - 969*(-16)\/104 - -7. Does r = 158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 196 - 424\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2410 + 2416. Solve 4*u - c + 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 161 - 107. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67\/(335\/(-15)) + 26\/3 - 2?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - t = 3 + 12, 21 = -x + 4*t. Let c be (4\/(-6))\/(x\/27). Is 10 a factor of (c + 130\/(-15))*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + y = -20, -2*a + 8 = -14516*y + 14515*y for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -281, -400, -515, -626?\nAnswer: -733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/((g*g**(1\/4)*g)\/g)*(g**1)**(-1\/14))**(-3\/16) assuming g is positive.\nAnswer: g**(27\/448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/56*(-212)\/42. Let c = l + 3\/98. Let -c*q**2 + 0*q + 6\/7*q**4 + 0 + 2\/7*q**3 = 0. Calculate q.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6925 divided by 3?\nAnswer: -6925\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 11.3. What is the closest to 0 in 5, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2802 - 19*f + 1907 + 16*f)*(-f**2 + f**2 + f**2)*(2*f**2 + 0*f**2 + 0*f**2)*(-2 + 0 - 1).\nAnswer: 18*f**5 + 5370*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 4*v - 3. Let x(d) be the third derivative of -5\/24*d**4 - 5*d**2 + 2\/3*d**3 + 0 + 0*d. Suppose f + 1 = 4. What is f*b(y) + 2*x(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 - 9*f - 4. Let l be j(5). Suppose l = -2*p + 5. Suppose 2*a = -h + 81, 2*a = -p*a - 4*h + 160. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-193764)\/(-20244) + 6\/14\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 58.6 and 459408.\nAnswer: 459466.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -46933 * -2\nAnswer: 93866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 476463012 a multiple of 2724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4\/5, 0.1952, -0.4?\nAnswer: 0.1952","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0287 - -0.0436. What is g rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 29 + 47 - 3 + 7.\nAnswer: 2*s**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13192498 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of f**5\/12 + f**2 - 1420*f + 3. Let h(m) = -4665*m**2. Give h(s(y)).\nAnswer: -116625*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 60025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17245626*l**5 + 9461186*l + 1 wrt l.\nAnswer: -344912520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-4*11)\/4. Let f = 16 - q. Solve 0*i + 4*i - 3*b - 13 = 0, -f*b + 8 = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6400, 6372, 6306, 6184, 5988, 5700, 5302?\n\"Answer: -3*g**3 - g**2 - 4*g + 6408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 7:53 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -6*m + 5. Let j(i) = i - 1. Suppose -5*u + 3165 = -5*x, 114 = u - 5*x - 523. Suppose 30*s - u - 28 = 0. What is s*j(b) + 4*q(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**4 + 0*h**4 + 3*h**4)*(-1 + 4 + 0)*(4 - 6 - 1 + 6*h).\nAnswer: -18*h**5 + 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 118 - 1181\/10. Let k = -3.569 + 2.569. Is d != k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.69 minus -0.7?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3361.9 - -0.8078.\nAnswer: -3361.0922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -27080 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1681490 - 461.7663.\nAnswer: 1681028.2337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 6*q + 12. Let l be m(-24). What is the remainder when l\/(-30) + (-16)\/(-40) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-9)\/(-10))*(-1)\/(-2)*-4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/336 and -103\/22176.\nAnswer: 22176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 2:29 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_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: What is the tens digit of 68891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -338*k**2 - 7*k + 2. Let u be z(-5). Let j = 176828\/21 + u. Let p = j - 45\/14. Calculate the common denominator of -131\/12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 3*t**2 + 3*t**2)*(4 - 1 - 4) + t**2 + 2*t**2 - t**2 + (-2 + 0 + 4)*(-t**2 - t**2 + 3*t**2) + 34 - 34 + 3*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (0 - 17) - (-111 - (-82 + -28)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89794324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkkd when four letters picked without replacement from dddfikxiikixddfixff.\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 10, -3*p + 42 = 2*u + u. Let z = 26 - u. Suppose -2*v - b + z = -23, -5*v + b + 86 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 73*i - 131. Let k = -504 + 509. Let s be y(k). What is the highest common divisor of s and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6) - (-14)\/(-42)*-20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41545 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 30756.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/13777, 2\/15, 5\/2, -6 in decreasing order.\nAnswer: 5\/2, 2\/15, 3\/13777, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - 15. Solve -d*a = -5*q + 28, 3*a - q = -4*q + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 110 and 27\/12*-4 - -7 - -1762?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - (-2 + 50)) + -1 + 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 29*q**2 + 1. Let d(b) = b**2. Give d(x(y)).\nAnswer: 841*y**4 + 58*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87)\/36 + (-20)\/(-80) + 8\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, -286.9, -1\/7, 0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**(-24\/13)*(l\/(l\/(l\/l**10)))\/l**(-2\/9))**(-2\/33) assuming l is positive.\nAnswer: l**(1766\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 15 + 9 = 0. Solve 2*c + c = h for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 1196 = -4*z + 6*y, -2*y - 2 = 0. What are the prime factors of z?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 0)*4.\nAnswer: 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -815.39 + 806. Let u = 10.09 + r. Which is the third biggest value? (a) 0.1 (b) u (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1938+3894464.7\nAnswer: 3896402.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -4) + -1 + 5 + -14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {l: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 5\/(-2))*-6. Let y = 5 - 10. Sort y, x, 2.\nAnswer: y, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -66*n + 86196. Suppose 3*b - n = -1971. Let g(v) = v**2 + 5*v + 1. Determine g(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -60, -429, -57, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*y - 6 = 0, -2*y + 5*y + 18 = 3*m. Suppose -18 = -0*s - m*s. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26667 is divided by 248?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 68*w = -38*w - 2336940. What is w rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.101*-558.\nAnswer: 56.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 2*k + 5. Determine d(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (57 + -15 + -7 + 24).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.476*0.04\nAnswer: -0.01904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 317*q**2 + 5*q + 5. Let k be j(-1). Is 3 a factor of k\/9 + (-8)\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43001770.\nAnswer: 2, 5, 7, 37, 16603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 2*r + 8. Determine s(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1173, -2346, -3505, -4644, -5757, -6838, -7881?\nAnswer: -8880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u + 1. Suppose -17 - 46 = 9*q. Let w(m) = 4*m + 1. Let h(a) = -3*a - 1. Let b(f) = 2*h(f) + 3*w(f). Calculate q*o(c) + 6*b(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 6*u**2 + 5*u - 1. What is the remainder when a(4) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/63 - (-23)\/105 - (-78)\/2925\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 15*i**2 - 1533*i + 119. Give o(102).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.73917283 greater than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42.02 + 27.5. Let s = 57.5 - p. What is s rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 5*u**2 + 5*u + 1. Let s = -424 - -427. Suppose -s*f - 208 + 190 = 0. Calculate p(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35805917 is divided by 301?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {u: 5, v: 5, f: 1, w: 1, x: 2, m: 6}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhlhlllhlsshhshh. What is prob of picking 3 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of 0*u**5 + 0 + 1\/14*u**7 - u + 0*u**2 + 0*u**3 + 1\/12*u**4 + 0*u**6. Find the third derivative of i(d) wrt d.\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -312.\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 6:57 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (7 - 11) - -101 - 24?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 171827 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -10965 at least -10871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -w, 4*l + 1 = 2*w + 431. Let g be (2\/(-2) + 1)*-1. Suppose g = r - 8 - 14. What is the highest common factor of l and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -563 - 12*z**2 + 563.\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19034\/(-186)*150\/(-2). Calculate the highest common divisor of q and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 10*o**2 + 7*o - 6. Calculate the remainder when q(-9) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 6, d: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/((i\/(i*i**(-1\/4)))\/i))\/i*i*i\/(i*i*i**0*i))\/(i**(-2\/19)\/i*i*i*i*i**(-2\/9)) assuming i is positive.\nAnswer: i**(53\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -5*i**4\/2 + 2*i**3\/3 - 48*i. What is the second derivative of c(v) wrt v?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -31.5289?\nAnswer: -31.4289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + -1)*-1 - -38. Suppose 5*l = 3*l + a. Is 2902\/11 - l\/(-110) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2 + 2)*(0 - 3 + 4) - 2*i + 5*i - 5*i + (6 - 1 - 3)*(-2 + 0 + 3 + 2*i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5 + 1, 31 = 4*p + j. Let h be (-2 - -1)\/((-4)\/p). Let o(z) = -3*z**2 + 4*z**2 + 3*z**h - 2*z**2. Let b(i) = 5*i**2. Calculate o(b(f)).\nAnswer: 50*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 15) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4896 divided by 133864\nAnswer: -612\/16733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*q + 9, -q + 28 - 5 = -5*k. Let p(n) = -10*n**3 + 2*n**2 - n - 1. What is the smallest common multiple of p(q) and 2?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -3 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -14. Let s = -358 - -3220\/9. Let p be -1 + -2*(-3 - -2). Which is the nearest to 1? (a) p (b) j (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-2)*(-20)\/(-6). Let f = u - 3. Suppose 285 + 2 = f*i. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggqqqqqqq. What is prob of sequence qqqg?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 1117455 = 66*j - 63*j, -3*j + t = 1117445. Round j to the nearest one thousand.\nAnswer: -372000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -126*b**4 + 5*b**2 + 5*b + 57. Let k(y) = -127*y**4 + 4*y**2 + 4*y + 56. Let n(w) = 5*k(w) - 4*l(w). Differentiate n(x) wrt x.\nAnswer: -524*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103623839.\nAnswer: 11, 97, 97117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 6, -2, -3 in ascending order.\nAnswer: -10, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 62. What is the units digit of 1 - (f - (7 + -3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 907914?\nAnswer: 2, 3, 7, 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k. Let u(m) = -4328*m. What is l(u(y))?\nAnswer: -34624*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-374)\/(-121) - -3\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.4, 2.18, -0.1, -2\/3, -1\/4, -1?\nAnswer: 2.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 24226956*w - 24226953.\nAnswer: -3*(w + 1)*(w + 8075651)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 3*q**2 + 6*q - 2. Suppose -2*s = 2*o + 2*s - 24, 0 = 2*s - 8. Let b be i(o). Solve 6*d + b = 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1135*v - 25466 + 405 = 26014 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - 4*i**3 + 3*i**3 + (2*i**2 + 1 - 1)*(0*i - 5*i + 3*i) + (-3*i**2 + 3*i**2 + i**2)*(83 + 11*i - 83).\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w = 34*w - 4. Let q be (w - 1)*(0 - (-12404)\/21). Let i = q + -763. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-832))\/((-9)\/(-24)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 5. Let m(z) = 1. Let s(a) = m(a) - v(a). Let j(y) = 567. Let d(i) = 103. Let q(b) = 11*d(b) - 2*j(b). Determine -6*q(x) - s(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/97728480 and -127\/22396110.\nAnswer: 1075013280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + -40454723?\nAnswer: -40454736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6106)\/215)\/(8\/10)*40. Let y be (-4*5)\/(-2)*2. What is the units digit of ((-12)\/y)\/(-1 - 1416\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1136 divided by 164.\nAnswer: -284\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-2*sqrt(325) + 0 + 0)*1 + -4 + 4)**2.\nAnswer: -40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 157\/2, -16?\nAnswer: 157\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 + 63*y - 195. Let i be g(28). Let z = -7 - -11. Let x = -0.07 + -0.93. Which is the closest to x? (a) i (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*n*n*n**(-6)*n*n*n*(n\/n**1)**(-1\/16))\/((n**(-1))**43)**(9\/2) assuming n is positive.\nAnswer: n**(393\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (-28 - (-1 - 44))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -6. Let t = 50 - 27. Calculate the remainder when t is divided by ((-2)\/o)\/(3\/72).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 4*x - 4. What is the units digit of p(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(1 - 46\/10). Let j = -9 + c. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105430 and 9425.\nAnswer: 15287350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/((-350)\/400)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/12 - (-62)\/24. Let y = 179 + -176. What is k in -5\/4*k**2 + 9\/4*k + 7\/4*k**4 - 1\/2 - c*k**y = 0?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5183412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 8, a: 1, e: 2, t: 2}. Give prob of picking 1 t and 1 q.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*h + 37*h = 18. Solve h = 6*m - 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-10)*(-115)\/(-36363)*-17?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/2*-1 + -2. Let l = -2 - i. Solve 0 = 2*n - 5*v - 2, 0*n + l*v = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*d**3 - 33*d**3 - 124*d**3 - 35*d**3 - 34*d**3.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 11) + (-2 - ((-5 - -6) + -7)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 113154 - 5?\nAnswer: 11314e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171 + 182. What is the derivative of 73 - 11 - 111 - o*p**4 - 75 + p**2 wrt p?\nAnswer: -44*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, w: 2, i: 1, y: 9}. What is prob of picking 2 w and 1 y?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 3857\/99348?\nAnswer: 3857\/99348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 1. Let r(b) be the third derivative of -b**4\/8 - b**3\/6 - 2*b**2. What is the units digit of r(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n = 0. Suppose n*z = 4*z - 28. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19179630 + t**3 + 19179630 + 46*t.\nAnswer: t**3 + 46*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2429, 4908, 7419, 9956, 12513, 15084, 17663, 20244?\nAnswer: 22821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 3*j - 13. Calculate the smallest common multiple of j and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10704 divided by -56?\nAnswer: 1338\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9126166?\nAnswer: 2, 7, 651869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(2\/7))\/r)\/r*r)**(-11\/5)\/(r**(5\/4)\/r**(-4))*((r*(r\/r**(-1))\/r)\/r*r)**(-2\/3)\/((r\/(r*r*(r*r**1)\/r))\/(r*r**6)) assuming r is positive.\nAnswer: r**(1279\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38590625?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 10*o - 40, 0 = -29*o + 27*o - 5*t + 56. Suppose 0 = -5*n - 2*q + 19, -5*n + 4 = -3*q - 5. Is n at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/14 + 6\/(-21). Let u = y - -3. What is the units digit of (24 - u\/1) + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 6387712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 104 - 92 - (-1 + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/4, -27, 1\/4, -0.5, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5108, 5101, 5094, 5087?\n\"Answer: -7*g + 5115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*k = -12*k - 28*k - 3312 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**2*n - 2040*d**2*s**2 + d**2*s + 3*d*n*s**2 + 21*d*n - 2*d*s**2 - 15*d*s + 2*n wrt d?\nAnswer: -6*n - 4080*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -27 + 24. Suppose -c*o + 0*h - 2131 = -4*h, 4*o + 4*h = -2888. Find the common denominator of (-22)\/55*(o\/(-36) - 2) and -43\/17.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 + -5 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 312749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/2))\/(l*l\/l**(-1\/4)*l*l*l))\/((l\/l**3*l)\/l**(-8)) assuming l is positive.\nAnswer: l**(-43\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 2*d + 48 = 0, 128*d + 711 - 652 = -3*g for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 2*f**2 + 6*f**2 - f**2. Let s(y) be the third derivative of y**5\/12 + 10*y**2. Give t(s(q)).\nAnswer: 50*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5035*g + 21 + 29293*g - 21.\nAnswer: 24258*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1*(-93)\/930.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 10 = 95. Let u = 25 - l. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.15? (a) -0.121 (b) -1\/3 (c) 0.5 (d) -1\/7 (e) 739\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5cc - -3?\nAnswer: 5d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**4 + z**3 + z**2 + z. Let v(x) = -3*x - 2. Let q be v(-2). Let h(t) = -5*t**4 - 11*t**3 + t**2 + 7*t. Let m(c) = q*y(c) - h(c). Factor m(f).\nAnswer: 3*f*(f + 1)**2*(3*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -7*u**6\/60 + u**5\/60 - 3*u**4\/4 - 1351*u**3\/6 - 12443*u**2. Differentiate x(d) wrt d.\nAnswer: -42*d**2 + 2*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 468429 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8812791 months in years?\nAnswer: 0.073439925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 - -86. What is the remainder when -2 + (-2296)\/(-44) - (-2)\/(-11) is divided by d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10846494 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 234, 229, 222, 213, 202, 189?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let z = 553266 - 3872860\/7. What is the nearest to a in 1, z, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1098, -705 in ascending order.\nAnswer: -705, 4, 1098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-42)*-14)\/(8\/(-84)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 7:58 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**2 + 2*a + 2. Determine b(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3939, 34 in ascending order.\nAnswer: -3939, 0.1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4948494?\nAnswer: 2, 3, 824749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -2, 1, 4392467 in ascending order.\nAnswer: -5, -2, -1, 1, 4392467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.49 and 0.3.\nAnswer: 0.147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -732*g + 25944 = -638*g. What is the remainder when 1931 is divided by g?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 16. Solve -5*w - 4*x - 45 = 0, w - 4 - j = 4*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10 = 5*d, d = 5*d - 12. Suppose 0 = 4*x - 2*k - 9332, -4*k = -b*x + 7602 + 4063. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.29 + 0.19. Sort 7\/2, t, 3 in decreasing order.\nAnswer: 7\/2, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n. Let h be p(4). Suppose 9 = h*f - w, -w + 6*w = f + 12. Solve f*j = -5*y + 17, 4*j - 3*j - 2*y + 9 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26493.97 - -26494. What is the nearest to o in -21, 35, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201211201 - 10?\nAnswer: -1201211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*a - 4 + 0*a - 2*a + 0*a - a - 3*a + 2*a + (0*a - 2*a + 3*a)*(1 - 4 + 4) + 5*a - 2*a - 4*a + 7*a - 69*a - 117*a - 98*a.\nAnswer: -279*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b*b**(-2\/9)\/b)\/b)\/b))\/(b\/(b\/(b**3*b))))**(-5\/12) assuming b is positive.\nAnswer: b**(35\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 50007 = -6*i, 5*j - 83317 = -26*i + 29*i. What are the prime factors of j?\nAnswer: 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -713 + 725. What is the lowest common multiple of y and 1030?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.02 and -101.\nAnswer: -100.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -195507, -195506, -195505, -195504, -195503, -195502?\n\"Answer: k - 195508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 5*r + 0*r)*(2*r**3 + 0*r**3 - r**3)*(-4 + 3 - 1)*(3*r + 2*r - 2*r).\nAnswer: -12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/6 + 1447*b**3\/6 - 7335*b**2 + 221050*b\/3 - 738500\/3.\nAnswer: (b - 10)**3*(b + 1477)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*-3*4*(-4)\/8. Suppose u*a = 7*a - 63850. What is a rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 0. What is the units digit of ((-20)\/6)\/(r\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 42*g + 1 + 15*g)*(7 + 3 + 1 + (1 - 4 + 1)*(6 - 2 - 2)) to the form z + s*g and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3402269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 889 + -889. Solve d = -i - 4*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8641815 is divided by 214.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 81*j**4 - 63*j**3 + 9*j**2 + 3. Let x(h) = 79*h**4 - 62*h**3 + 10*h**2 + 2. Let b = -156 + 159. Let l(q) = b*x(q) - 2*w(q). Factor l(c).\nAnswer: 3*c**2*(5*c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 + 2091\/287. Suppose a - 2*a - 6 = 2*p, 4*p - 4*a = 0. Let v be (-31)\/(-4) - p\/8. Which is greater: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + 0*u - u)*(-70*u - 41*u + 61*u + (-1 - 2*u + 1)*(4 - 2 - 4) - 2*u - 4*u + 4*u) to the form t*u**2 + f + w*u and give t.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 - -15.8. Let a = -0.35 - k. What is the third biggest value in -0.4, 2\/13, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 38, -1\/8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19 and 20.41816.\nAnswer: 387.94504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 9:14 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25 + 13*o**3 + 28*o**3 + o**3 - 13 wrt o.\nAnswer: 126*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 7. Let h(p) = -p**2 + 8*p + 6. Let n be h(6). Let t be (n\/10)\/(2\/x). Solve t*a = 4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 10. Let m = 393 + -392.066. Let v = m + 0.066. What is the biggest value in r, v, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.8 + -3.8. Let c = 0 - -1. Suppose -5*a = -4*a + 3*d - 3, 0 = -d + c. What is the closest to a in 5, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/20 and 29\/90866.\nAnswer: 908660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -53. Let c(a) = a**3 + 3*a**2 - 6*a - 5. Suppose -4*g = -3*m - m - 20, 3*g = 3. Let j be c(m). Calculate the greatest common factor of x and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 3)*9\/(-9). Solve 2*o - 4 = -s*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-1*137731\/(-22))\/((-6)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-90)\/(-2)*(-5)\/(-15). Let x = -167\/11 + s. Which is the nearest to 1? (a) 5 (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16*3\/108)\/((-7)\/(210\/160)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 17*a + 3. Let w be g(8). Suppose 3*s - w = -3*u + s, 2*s = 5*u - 237. Suppose 2*k - u = -f, -3*k - 166 = -5*f + 17. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110111110000001010111 (base 2) to base 7\nAnswer: 21346151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1213 is divided by 606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519060?\nAnswer: 2, 3, 5, 41, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 3*t**2 - 5*t - 13. Let c be v(-3). Suppose c*u = -3*q - 9, -u + 5*u + q + 3 = 0. Solve u = 2*s - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 8*m**3 + 4*m**2.\nAnswer: 4*m**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1072)\/6968)\/(3\/2*(-2)\/1)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a second in microseconds?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k**3 + 166*k**2 - 668*k + 240 = 0.\nAnswer: -20, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9790.0017308 + -9790. What is k rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*h - 25*h + 229 - 229 to the form i*h + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*h - 4*s, -3*h - h - 5*s = -20. Let c(f) = -f + 797. Is c(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 7*v + 233, 4*z + 13 + 61 = -3*v - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -3\/4, 211, -0.5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2982 and 639.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 457 - 319. Suppose -78*l = -80*l + i. Calculate the remainder when l is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**2. Let o(u) be the second derivative of -u**5\/60 + u**3\/2 + 6*u. Let c(i) be the second derivative of o(i). Calculate h(c(p)).\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66285 and 229770?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2 + 1283*a - 270044. Determine b(167).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3515, -3391, -3171, -2849, -2419, -1875, -1211, -421?\n\"Answer: s**3 + 42*s**2 - 9*s - 3549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 0.08 (b) 2\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67224 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -241.8885 + 242. Let l = k - 0.114. What is l rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -387.82 to 0 decimal places.\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + -1*(-5 + sqrt(32))) + -5)**2.\nAnswer: -672*sqrt(2) + 953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z = 4*z. Let v be (z + (9 - 5))*(-15)\/(-10). Solve 0 = w - h, 4*h - v + 1 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4704 + -4712.377. What is i rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -20. Let i be t\/30 - 35\/(-3). Calculate the greatest common divisor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + x - 4*x)*(2*x - 3 + 3)*(-43 + 15 - 8) + (-3 + 5 + 0)*(0*x**2 + 3*x**2 - 2*x**2) + 2*x**2 - 5*x**2 + 2*x**2.\nAnswer: -71*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117426 is divided by 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(891) + -4)*-5)**2*5.\nAnswer: -6750*sqrt(11) + 112500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 2)\/2 - 0. Let j be y + -1 + (-5)\/((-20)\/164). Find the common denominator of 71\/2 and 2\/((-6)\/(-1)) + j\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*r - 15 - 23. Let k = -42 + 212\/5. Factor 1\/5*n - k + 3\/5*n**r.\nAnswer: (n + 1)*(3*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 97.26976 kilometers?\nAnswer: 97269.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-3) + -1)*-6. Suppose -a*z + 6 = -2*z. Let z - 1 + 12*g**2 + 5*g + 3*g + 8*g**3 + 2*g**4 = 0. Calculate g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40179431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 + 19*h - 40. Let r be z(-20). Find the third derivative of r*w**5 - 844*w**5 + 13*w**2 + 33*w**2 wrt w.\nAnswer: -3840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 4*w - 24, m + 32 = 4*m - 4*w. Suppose 4*n = -5*s + 10, -s + 3*s - m = n. Suppose 12 = -4*k, 205 = 5*y - s*k + 74. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2395, 82, -0.1 in decreasing order.\nAnswer: 2395, 82, 3, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9875 is divided by 9784?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1010319*o = 1014047*o - 417536 for o.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u - 2. Suppose -4*n - n = -15. Suppose -y + 0*y - n = 0. What is the remainder when q(y) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of p**6\/1440 + 19*p**5\/720 + 35*p**4\/288 + 17*p**3\/72 - 1619*p**2. Factor i(q).\nAnswer: (q + 1)**2*(q + 17)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -168 by 3.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 9) to base 2.\nAnswer: -1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/14)\/((-11)\/385*5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 4. Let o(h) = 5*h + 6. Let g(n) = n + 3. Let k(s) = 3*g(s) - o(s). What is k(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811008 a multiple of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2926 and 117\/7174552.\nAnswer: 7174552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16574 + 812747.1.\nAnswer: 829321.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 6*p - 4 - 5 - 4*p - 3*p**2.\nAnswer: -3*p**2 - 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -122*b**2 + 2*b - 27. Let w(x) = -121*x**2 + 2*x - 27. Let i(o) = -3*a(o) + 2*w(o). Find the second derivative of i(j) wrt j.\nAnswer: 248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*m + 117 = -16*m. Is 1\/((-9)\/(-25689))*m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1434471*p**5 + 2*p**3 + 492*p + 1759?\nAnswer: -28689420*p**3 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -3*y + 70. Suppose 88 = -12*s + 16*s. Let n be t(s). Solve -2*j + 0 - 8 = 5*a, -3*a + j = -n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*q**2 + 21740*q - 21740*q + (-1 + 2*q + 1)*(0*q + 0*q - 3*q).\nAnswer: 47*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 - 2923113*m**2 - 712041826392*m + 3560282210160.\nAnswer: -3*(m - 5)*(m + 487188)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -20638 (base 9) to base 11\nAnswer: -a283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*4\/40*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 409 + -418. Which is the biggest value? (a) w (b) -13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -24283 * 0.02.\nAnswer: -485.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -18057.343\nAnswer: -722.29372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*a - a - 13 = 0, 3*v = 4*a - 24. Put 2, 10, 1, v in decreasing order.\nAnswer: 10, 2, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -413 (base 9) to base 13.\nAnswer: -1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j*j\/j**(-7))**(-18)*((((j*j**5)\/j)\/j)\/(j**0\/j))**37 assuming j is positive.\nAnswer: j**(-121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 65*s - 9*s. Sort -1, 4\/9, -0.1, s in decreasing order.\nAnswer: 4\/9, -0.1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 9*n**2 - 4*n + 9. Let h be i(9). Let g = -80\/3 - h. Suppose -541 - 371 = -228*w. Which is the closest to w? (a) -4 (b) 1\/6 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150557 is divided by 52?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*y + 2047 = -3*y, y + 1229 = 3*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 16. Solve r - 3*l = -4 - 1, 2*l = -2*r - n for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*a + 31*a - 613763 - 1959833. List the prime factors of a.\nAnswer: 37847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35519549.\nAnswer: 13, 2732273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1221864 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6 (b) -0.05 (c) -6 (d) -1 (e) -2\/867 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*x = -615, -5*z = 17*x - 14*x - 1017. Let d = -199 + z. Solve -4*u - 4*g = 7 + d, 0 = -2*u - 5*g - 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13842\/5 - -138303\/50. What is the common denominator of 19\/25 and m?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 11 - 32)*(2*f - 3*f + 3*f) + (6*f - 37*f - 50*f)*(-2 - 2 + 0) in the form y*f + w and give y.\nAnswer: 284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/2645840 and -5\/2381256?\nAnswer: 23812560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.53889t in micrograms?\nAnswer: 17538890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27970852 a multiple of 322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -253 - -257. Solve -x*r + 2*a = 4*a + 6, 0 = -2*r - 4*a + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -732 - -2355. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 n when two letters picked without replacement from {e: 3, n: 1, v: 1, a: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 7:10 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, 2640, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2.9*17\nAnswer: 49.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 4*o + 4. Suppose -4*w + o*m + 50 = -0*m, 3*m - 35 = -5*w. What is the highest common divisor of 90 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4539 rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161, 207, 281, 395, 561?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(8\/(-290))*1\/15*1266\/(-211).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -107) + -11700 + 11507?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**2 + 23*l - 30. Let k be y(-13). Suppose -p + 54 = 3*u + 3*p, -2*p = 5*u - 104. Let x = -12 + u. Is x at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9347201 - -0.125\nAnswer: -9347200.875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -106 - -124. Which is the nearest to -0.2? (a) 5 (b) j (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -x**3\/3 + 3*x**2\/2 + 4*x + 284. What is m(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28027246?\nAnswer: 2, 13, 1077971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*d - 24 = d, -g - 10 = -5*d. Suppose s - g = -2*u, 0*u - 3*u + 4*s = 7. Solve 5 = -u*n - 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*d + 5*d - d + (16 + 3*d - 16)*(1 + 0 + 0) + d + 0*d + 0*d in the form o*d + s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, p: 3, t: 2, q: 1, m: 9}. What is prob of sequence tq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23.28 + 26.28. Which is the nearest to h? (a) 3 (b) -4\/21 (c) 3\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from kiddxzsk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwllglwg. Give prob of picking 2 l and 1 g.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -13.630393.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 - 854*y**2 + 560*y + 2296. What is u(284)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -152145 by 9.\nAnswer: -16905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + 1*sqrt(3564))*-3.\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 187745*p**3 + 95*p**2 + 1520*p - 95. Let r(i) = -5867*i**3 - 3*i**2 - 48*i + 3. Determine 3*j(v) + 95*r(v).\nAnswer: 5870*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -o + 52 + 397, 4*o + 4*b = 1756. Calculate the remainder when o is divided by 160.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*o - 48 = 6. What is the derivative of 79 + 30 + 15*l**o + 5*l**2 wrt l?\nAnswer: 40*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8920)\/223*35\/40?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 - 46. Let h(u) = -12*u - 24. Is 18 a factor of h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g**2 + 4*g - 1. Let f be m(-3). Let u = f - 16. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121 + 413?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 607\/7 + -87. Suppose -4*z = 3*l - 23, 0 = -4*l + z + 2*z + 14. What is the closest to c in l, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014838198 to six decimal places.\nAnswer: 0.000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15737033?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 259 - 260. Let b(x) = -x - 1. Let t(f) = f + 4. Suppose 4 = 3*r + 13. What is d*t(a) + r*b(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1100700 and 1070?\nAnswer: 117774900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 2\/5733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-79)\/237*6*3\/8?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 4*f**2 - 14*f - 9. Let g be q(-6). Suppose -5*c + 16 = g*c. Solve -c = -p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - o - 1. Let l(t) = -10*t**3 + t**2 + 9*t + 8. Determine 2*l(m) + 18*x(m).\nAnswer: -2*m**3 + 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 338 divide 88122931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f + 3*y + 30, f - 2*y = -10. Let i = f + 32. Solve 0 = -0*z + 3*z + 2*o + i, -3 = 3*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 3*p**2 - 2*p. Let b be q(-3). Suppose o + 70 = b*o. What is the lowest common multiple of o and (6\/(-18))\/(1\/(-18))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33 - -4903?\nAnswer: 4936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -156*y + 3 + 317*y - 159*y - 9. Let s be m(8). Let a(i) = -i - 2. Let j be a(-4). Calculate the highest common factor of j and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2589535 divided by -2589535\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171, -174, -177, -180, -183, -186?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22618161?\nAnswer: 3, 197, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 33 + 0*l**2 - 25 + 9*l**2 - 6*l**3. Let n(w) be the third derivative of -w**6\/60 + w**5\/20 + w**3\/2 + w**2. Calculate -3*k(q) + 8*n(q).\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 775*j**2 - 1504*j**2 + 890*j**2.\nAnswer: 161*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/2 + (-11)\/(-30). Let s = 1.9 + -1.8. Which is bigger: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - u)*(0 + 3 + 1)*(-3*u - 4*u + 2*u + (-u + 2*u - 3*u)*(3 + 2 - 4)) to the form z*u**2 + f + y*u and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 63 + 12?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -6*l + 10. Let v be h(-1). Suppose 12*u = v*u + 67200000. What is u rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5 - 0, 0 = -4*f - 5*a + 347. Let b be (3\/2)\/(9\/(-192)). Let x = b + f. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n - 4. Let d be t(-1). What is the units digit of (-2)\/d - (-10)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 259?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 7*f**2 + 9*f + 13. Let c be r(-6). Is -45\/8 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -5\/4 (b) -2\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13067786 is divided by 98254.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*x = 1303, -x - 3*x + 1327 = -5*w. Let u = -260 - w. Let p = -1 - -1. Solve v + u + 1 = p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 59 + 54 = 63. Let a(u) = 3*u**2 - 11*u + 4. Let q(h) = 4*h**2 - 16*h + 6. Determine j*q(i) - 7*a(i).\nAnswer: -i**2 - 3*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -11128 and -11129 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101010001011011 (base 2) to base 8\nAnswer: -52133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 326, -0.4, 61, -1\/697 in descending order.\nAnswer: 326, 61, -1\/697, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 503 - 2419. Suppose 3*n = 3*u - 1923, -3*u + 989 = 5*n - x. Is u a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 21 = -3*c, 4*s - 2*c + 0*c - 18 = 0. Let m = 15 + -15.3. Sort s, -4, m in descending order.\nAnswer: s, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-17)\/5 + 9\/(-15). Sort 5, 4, z in descending order.\nAnswer: 5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 6*a - 32. Let y = a + -5. Let m be 7\/42*y\/(-2). Is 4 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 7 + 12 + (-3 + 4 - 3)*(1 - 5 + 2) - 4 + 8 + 1)*(0 + 0 + 2*n**3).\nAnswer: 38*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3425828 in 2, -0.3, 4\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3)*-3*3. Suppose -s*c = -a - 3, 4 = 4*a - 4*c + 8*c. What is the smallest common multiple of -12*(a + (-6)\/9) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 21 = -w, 0*w - 40 = -4*v + 5*w. Suppose -3*k = 3*q - 6, 7*k = -4*q + 4*k + v. Is 10 - (1 - 3) - q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 10*l**4 - 235*l**3 - 35*l**2 - 35*l + 70. Let i(b) = 26 - 4*b - 8*b**4 - 18 + 9*b**4 - 4*b**2 - 26*b**3. Let s(x) = -4*f(x) + 35*i(x). Factor s(p).\nAnswer: -5*p**3*(p - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 13, 3, -27, -83, -171, -297?\n\"Answer: -d**3 - d**2 + 14*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/15 + 46\/10. Let n(s) = 3*s - o - 1 - 4 - 3. Let l(p) = p - 4. Determine 7*l(b) - 2*n(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1788537356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-3))\/(4\/(-56)*(-7)\/3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*f**2 - 3695*f - 615.\nAnswer: -5*(f + 123)*(6*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*9\/((-135)\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -2*r, -2*p = -7*p - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 38. Let x(v) = 2*v + 70. Let y(u) = -2*u + 4. Let h(s) = -x(s) - 2*y(s). Let j(p) = -9*c(p) + 4*h(p). Let t(f) = -2*f**2. Determine j(t(i)).\nAnswer: 2*i**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 520714*y - 260365*y + 6*y**2 - 260368*y in the form w + t*y + r*y**2 and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111100100011 (base 2) in base 7?\nAnswer: 32145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 59862 and 19954.\nAnswer: 59862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1354 - 1302 = 83*s for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k**2 - 41 + 4*k**3 + 6*k**3 + 136 - 55*k**4 - 95 to g*k**2 + o + x*k**4 + s*k**3 + t*k and give x.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of 2*d**7\/735 + d**6\/21 + 17*d**5\/105 + 4*d**4\/21 - 338*d**2. Determine o so that a(o) = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Solve -21241*d - 35436 = -24194*d for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 4. Suppose 5*s + 2*d - 22 = 16, s - d - 9 = 0. Suppose -3*p + 53 = -1. Calculate the remainder when p is divided by i(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012814 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -383610.41999956 + 383610.3. Let r = i - -0.12. Round r to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 3*t + 234, -y + t = 3*t - 78. Let x be (-49725)\/(-30)*(36\/(-5))\/(-9). What is the highest common divisor of y and x?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 6*s**2 - 2*s - 5. List the prime factors of q(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)*3*-3)\/(sqrt(567) + sqrt(7)) - (1*-3*sqrt(85))\/(sqrt(20)\/(-2*sqrt(4))).\nAnswer: -69*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2574359?\nAnswer: 29, 88771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a factor of 2184840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 266*n + 533 + 344 - 268*n. Let r = -7 - -7. Is t(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of 0 - 3*h**2 + 0*h + 1\/4*h**4 - 19\/2*h**3. Calculate the remainder when 15 is divided by d(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8)*1*(-116)\/522*36.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 7:58 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.2 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v**(-3)*v))*v*v\/(v**3*v)*v**(-3\/2)*v**(-1\/6) assuming v is positive.\nAnswer: v**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -161*p**4 + 4*p**3 - 867366?\nAnswer: -644*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 234375*z**4 + 2. Let h be b(2). Round h to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185758, -184103, -182448, -180793, -179138?\nAnswer: -177483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 7 - 18 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 515 + -7727\/15. Let y be 3*(280\/(-144) - 2\/(-1)). Which is the closest to -0.2? (a) i (b) -0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -121*n + 58. Is w(-5) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 15 + 13*v**3 + 11*v**2 + v + 5*v. Let z(h) = -7*h**3 - 6*h**2 - 4*h - 8. Suppose 47 = -4*d + 3*s, 0*s = -d + 5*s - 16. Calculate d*z(p) - 6*k(p).\nAnswer: -p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-3) - (-90)\/(-40)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -167b + 3?\nAnswer: -1678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -22028*d + 110143. Give r(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216592?\nAnswer: 2, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77408 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-14)*2\/(4\/4). Let b(r) = 11*r - 24. What is b(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 25*d**2 + 116*d + 54. What is the remainder when 1118 is divided by s(-29)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0515 * 21.78.\nAnswer: -1.12167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 0 (c) 3\/11 (d) -1\/45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**5*o - 4*a**5 + 14*a**3*o - 113*a**2*o - o wrt a?\nAnswer: 60*a**2*o - 240*a**2 + 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 113 - (1 - 4 - -13 - (-328 + 336))\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1467)\/18)\/((1 + 1)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/2248 and -1\/18756 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*n + 6986 = -159*n - 4693 for n.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0 + 5 - 4. Let y(t) = -2*t + 3. Let g(s) = -s**3 + s**2 + s + 64. Let l be g(0). Let h = l + -62. Give h*q(u) - y(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*t - 88*t + 12*t + ((-4*t + 3*t - 2*t)*(3 - 4 + 0) + 1 - 1 - t)*(-2 + 0 + 4) to the form d*t + z and give d.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 11*l**2. Let w(z) = 17*z - 11. Let j(h) = 6*h - 4. Let c(u) = -11*j(u) + 4*w(u). Determine o(c(m)).\nAnswer: 44*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 2*v = -14, -2*v = 4*a + 3*v + 11 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 4*y + 1904, q - y - 459 = 23. Let j = 816 - q. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72\/13 in -0.4, -2\/7, 11\/3, 11?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*u - 70. Let r = u - 187\/8. Let k = 3 + -3. What is the nearest to k in 0, r, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**19*d)\/d*d)\/d*d)**(3\/20) assuming d is positive.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -17008576.\nAnswer: -1\/4252144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 5:34 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35564 is divided by 117?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/(-1767) + 5142\/342.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 59264 + -5?\nAnswer: 5925f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4\/4 - d**3 + 5*d**2\/4 = 0. What is d?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000850364 rounded to 7 dps?\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*x**4 + 4*x**3 + 686475*x**2 + 11*x - 14995342?\nAnswer: -48*x**2 + 24*x + 1372950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 11:29 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -216*o - 1830. Let s be z(-9). Solve -52*c + s = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60500.076 times -3\nAnswer: 181500.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1\/3, -4, -1\/5 in decreasing order.\nAnswer: 3, -1\/5, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0667 + -4.6633. Let z = -0.27 + q. What is the closest to 0.1 in z, -0.2, -2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 8:23 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d + 13173. Let q(c) = 22*c - 16. Calculate l(q(o)).\nAnswer: -22*o + 13189","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248148 is divided by 181?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca77 (base 14) to base 7.\nAnswer: -204010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2\/(-9) + (-292)\/(-18) and 26?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196.3020365 rounded to 0 decimal places?\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - a. Suppose 4*v + s + 1 = -3, -4*v + s = -4. Suppose -g + 2*l + 8 = v, 3*l + 22 - 8 = 2*g. Solve a*p = g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -9*v**2 + 8*v - 5. Suppose -382*h - 6 = -381*h. Let t(a) = -8*a**2 + 7*a - 4. Give h*z(m) + 7*t(m).\nAnswer: -2*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a century in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 247.052 - 0.052. Let b = 246.8 - l. Put -6\/7, 0.1, b in decreasing order.\nAnswer: 0.1, b, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 + 10 - 35 = -9*u for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*u + 4, 0 = -4*t + 3*u - u + 14. Calculate the remainder when 24\/((-42)\/112*(-8)\/t) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x = -77*x - 24*x - 820 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -678844.\nAnswer: -1\/678844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*y + 14*y + 21 + 10*y - y**2 to the form b*y**2 + o + z*y and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s + 3. Let v be l(3). Find the first derivative of -2 - 2 - 2*p**2 + v wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnsn when four letters picked without replacement from {s: 9, n: 5}.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52051 = 1453*f - 32223 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 + 11*a**2 + 5*a + 12. Let h be l(6). Suppose -5*j + 3*b + 27 = -2*j, -24 = -2*j + 4*b. Calculate the greatest common factor of j and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 552 and 299988816?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 428*j = 424*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13564\/26055 + -2\/965. Let m = l + -8\/9. Calculate the common denominator of m and -73\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 + (-3)\/2. Let o = 127 - 128. Put o, 3, l in decreasing order.\nAnswer: 3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o - 4. Let y be q(-4). Let t = -260\/111 - -1\/111. What is the common denominator of t and y*(0 + 15\/(-42))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 38\/11 (b) -3\/5 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 92*o**2 + 1360*o - 450. Calculate t(-105).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, -35\/4, -43, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9152626268*j + 9152626281*j + 0*j**2 + 3*j**2.\nAnswer: 3*j**2 + 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*t, 7 = -2*t - 3. Solve 0*g = -l*d - g - 14, -d + 5*g + 7 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1210497 and 87\/8.\nAnswer: 9683976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20556 - 14112. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a + 5*a - 3*a)*(-3 - 2 + 2)*(103 - 47 + 20)*(-1 - 2 - 2) in the form f*a + x and give f.\nAnswer: 2280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24\/11 in 1, -5, -2\/15, -2.6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, d: 5}. What is prob of sequence ndn?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 597 + -561. Suppose -3*f + 5*f - 2*j = 92, f = -5*j + 40. Calculate the highest common divisor of t and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t + 16. Calculate y(-6).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3 + 4*h**2 + 6*h + 4 + 0. Suppose g = -2*l - 8, 0 = -4*l + 2*g - 18 + 2. What is the least common multiple of j(l) and 11?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 13 - 3 = 0. Let c(l) = -l + 2. Let n be c(a). Suppose y = 15 + n. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-7) - (-83513)\/161. Find the second derivative of 501*u**5 - 946*u**5 - 39*u + g*u**5 wrt u.\nAnswer: 1480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 + -20. Let y(q) = q**2 + 3*q + 8. Is 12 a factor of y(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -6*s**2 + 5*s + 25. Let f(k) = -24*k + 11. Let m(j) = 6*f(j) - 13*v(j). Calculate m(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3 + 22 = 0, -21 = -2*s - 5*t. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19987 to the nearest 1000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xp when two letters picked without replacement from {t: 1, x: 2, a: 3, p: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c + 1. Let f(h) = 2*h**3 + 3*h + 4. Determine f(u) - 4*y(u).\nAnswer: 2*u**3 + 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 158433 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27 and 63\/418.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 3*o - 36 = 0, o + 10 = -b + 3*b. Let s = -8 + 20. Calculate the highest common divisor of s and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 2*c**2 + 20 + 60 - 20 + c**2.\nAnswer: -c**2 + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4907 + 7755. Let q = -2847.99998673 + p. Round q to 7 decimal places.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16938*0.093\nAnswer: 1575.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -68 - -71. What is the remainder when x is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 10*g = 5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 17551950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 614020.1 + -614025. Let i = 0.04 - 0.34. What is the nearest to t in -5, 1, i, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1580 divided by 57.\nAnswer: -1580\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -9 - (-330 + 313)) + (9 - 3)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -198, -411, -788, -1347, -2106?\n\"Answer: -3*s**3 - 64*s**2 - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -13. Let s(l) = 5*l - 1. Let p(i) = -4*i - 1. Let j(u) = -6*p(u) - 5*s(u). Calculate the least common multiple of j(a) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a + 71. Determine o(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-35)\/45 + 4\/(-18). Let f be 0*(-3 - (-5 - x)). Suppose f = 5*c - c - 388. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/6*(-1 + -5). What is the second derivative of 9*t - 2*t**4 - 6*t**4 - t**w wrt t?\nAnswer: -108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-15)\/540)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (15 + (13 - 17) - 14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = 2*j. Let a be (2\/89960)\/(-7 + 297199\/42448). Let u = a + -2\/585. Which is smaller: u or j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2779907 is divided by 297.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(68) + (sqrt(68)*-1*-6 + sqrt(68) + sqrt(68) - sqrt(68) - sqrt(68)))\/((sqrt(100) - (-2*sqrt(100) - sqrt(100) - sqrt(100)))*6).\nAnswer: 4*sqrt(17)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1108.45 not equal to -0.1657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 9*z + 4. Let x(v) = 13*v + 5. Let q(r) = -7*n(r) + 5*x(r). What is q(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 18, -1\/3, 4 in ascending order.\nAnswer: -1\/3, 2\/7, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**2. Let k(r) = 242398 + 864*r - 242398. Calculate j(k(a)).\nAnswer: 3732480*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58a224 (base 14) to base 15.\nAnswer: 3eb15c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.584*-4116\nAnswer: -2403.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3637943796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/5 - 1\/((-5)\/22). Suppose -g = -4, 5*p - 201 = r*g + 228. What is p rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427.8257 millennia to decades.\nAnswer: 42782.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -1. Let w be (-123)\/(-39) - (-6)\/s. Let d = 11 - 7. Sort d, -2\/5, w in increasing order.\nAnswer: -2\/5, w, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/2))\/q**(-1\/7))\/(((q*q\/q**(-10)*q)\/q*q)\/(q**(-2\/9)*q)) assuming q is positive.\nAnswer: q**(-1459\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 118170 or 379?\nAnswer: 118170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23\/((-1288)\/(-48096))*63*(-4)\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2 - 4 = 0. Which is the closest to -0.2? (a) -2\/7 (b) 4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(117) + (sqrt(117) + sqrt(117)*-1)**2 + sqrt(13) - (-1*sqrt(26))\/sqrt(2))*-3.\nAnswer: -15*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2021.999996734 + 2022. Round s to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 650 + -618. Suppose 24*m - 81424 = -q*m. What are the prime factors of m?\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30521, -3, 3, 2 in decreasing order.\nAnswer: 30521, 3, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*b*u**2 + 2*b*u - 3*b + 1435*u**2 + 5*u + 257113 wrt u.\nAnswer: -8*b*u + 2*b + 2870*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - -15) + 22 - -4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 149 - 2341 = 0. Calculate the common denominator of (-2)\/4 - (2 - -3) and (s\/18 - 3) + 14\/(-28).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4*b**2 + 6. Let q(o) = -6*o**2 - 9. Let y be -44 - -11 - 1*3. Let x = y + 44. What is x*s(t) + 5*q(t)?\nAnswer: 2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 2*d**3 - 27080*d**2 + 203 + 509 + 27080*d**2.\nAnswer: -2*d**3 + 623","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-33)\/(-4))\/((-273)\/140 - -2) is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v**(-2))**(-7\/2))**42 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q. Let s(u) = 431*u - 54. Let p(c) = 41375*c - 5175. Let t(g) = 6*p(g) - 575*s(g). Determine -51*k(w) + 2*t(w).\nAnswer: -17*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*n - n. Let v(l) = -24*l**2 + 3*l - 4. Let s be v(n). Find the common denominator of 4 + s\/(-6) + 3 and 18\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 402 and 7493?\nAnswer: 7091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/505? (a) 3 (b) 121940 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772 < 33680\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76715731 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 49615 * -3274\nAnswer: -162439510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1130528167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-46)\/i))\/(i**(-2\/3)\/i) assuming i is positive.\nAnswer: i**(146\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.559, 0, 7, -1.\nAnswer: -1, -0.559, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) -4 (c) -934 (d) -2\/7 (e) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 292.1 + -290.1. Let t = -53\/558 + -373489\/3906. Let j = t - -96. What is the nearest to j in o, 5, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 - 25\/(-45). Suppose 3 = h - 0. Let s = 8 - h. What is the second smallest value in z, s, 2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*p + 220 = 5*j, -5*p + 46*j - 48*j = 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -3*q**4\/8 - 729*q**3\/2 - 99918*q**2 - 198744*q - 2921. Factor g(x).\nAnswer: -3*(x + 1)*(x + 364)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 8:51 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - -46. Let z = -57 + g. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l - 27. Calculate a(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2392614 divided by 140742\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-6064.\nAnswer: 1212.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2.1. Let r = w - 1.1. Which is the second smallest value? (a) r (b) -1 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10278921 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 z be 377\/(-117) - 2\/(-9). Let m = 2 + z. Put -2\/9, m, 1 in decreasing order.\nAnswer: 1, -2\/9, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270963 a multiple of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.4. Suppose -2*d = -0 + 22. Let m = 8 + d. Which is greater: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -6927882639243.\nAnswer: 6927882639251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29 + -10 + (-6)\/(-2). Is 1 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, h: 8}. What is prob of sequence vv?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -160*c + 3722. Calculate t(23).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100 a factor of 896686736?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 17*b + 10. Let f(a) = -6*a**3 - a**2 + 2*a + 2. Suppose -12*g + 1 = -13*g. Let w be f(g). Is t(w) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 374121353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -384 (base 10) to base 7\nAnswer: -1056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 10. Let n be -1*-9*4\/(-6). Let l be g(n). Let d(o) = -o**3 - o + 2 + 0*o - 2*o**3 - 4*o**2. Calculate d(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85895696 divided by -1\nAnswer: -85895696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 0*d**3 - 2 + 0*d**4 + 6*d - 6\/5*d**5 + 0*d**2. Find the first derivative of h(b) wrt b.\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 153 and 531?\nAnswer: 9027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1230 and 498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166 by -257039.\nAnswer: -166\/257039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1186b - -3?\nAnswer: 1186e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t**2 + t - 1. Let w be v(1). Let n = -2 - w. Suppose -n*a = -c - 43, 0 = 3*a + 2*c - 14 - 4. What is the remainder when 15 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2561290033 to the nearest integer?\nAnswer: 1368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0.2, 5868, 1758?\nAnswer: 1758","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5 = -3. Let p(a) = a**2 - a. Let g(q) be the second derivative of 0 - 8*q - q**4 + 11\/6*q**3 + 0*q**2. Calculate h*g(i) + 22*p(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/3, 0.39, 0.1, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 5:44 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*i - 1 - 113*i + 62*i - 2 + 4.\nAnswer: 8*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**2 - 2. Let b(z) = 7*z**2 - 102*z + 9. Calculate b(j) + 3*i(j).\nAnswer: j**2 - 102*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 17*x + 14. What are the prime factors of v(3)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 9 - 5 - 6*g - g in the form y*g + v and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977843?\nAnswer: 89, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 0.9. Let h = -0.6 - -1.2. Let f = z - h. Which is the third biggest value? (a) 2\/3 (b) 0 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24114*y - 48096*y + 24176*y)*(0*y**2 - 4*y**2 + y**2) + 0*y**3 - y**3 + 0*y**3 to a + o*y**3 + j*y**2 + t*y and give o.\nAnswer: -583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b039a2 + -4?\nAnswer: 3b0399a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 80 = 2*f, 4*j - 94 + 18 = 4*f. What is the remainder when 38 is divided by j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-15)*90\/60.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1433631 and 76122.\nAnswer: 8601786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -4*n + 3*r, -5*r = 1591*n - 1587*n + 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3889, -7559, -11229, -14899, -18569?\n\"Answer: -3670*k - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x + 9. Let l(g) = 81*g - 144. Let a(i) = 2*l(i) + 33*q(i). Let n be a(10). Let h = -11 - n. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*33\/324 + 2\/(-6).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -p**7\/1995 + p**6\/1140 + p**5\/114 + p**4\/76 + 3*p**2. Factor m(l).\nAnswer: -2*l*(l - 3)*(l + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d + 4 = 30*d. Suppose -2*x = x - 12. Calculate the remainder when 29 is divided by (-82)\/(-8) - d\/x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4654*d**2*p**3 - 179738*d**2 + 8*p**5 + p**2 wrt p?\nAnswer: 27924*d**2 + 480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/24 and 15\/1684.\nAnswer: 10104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**6\/360 - d**5\/20 - d**4\/8 + 22*d**3\/3 - 1. Let w(c) be the third derivative of y(c). What is w(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, 3, 0.05?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116\/5 - 34*m + 6\/5*m**2 = 0.\nAnswer: -2\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 2*k - 3. Let t(f) = f**2 + 10*f - 2. Let x be t(-10). What is the tens digit of (k\/x - 1)*54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -359200854 divided by -1\nAnswer: 359200854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 37, 61, 105, 175, 277, 417, 601?\nAnswer: 835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11763.15 rounded to the nearest ten?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 8*s + 9. Calculate v(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(10)*-2)\/((sqrt(5) + sqrt(80))*5).\nAnswer: -12*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119204034*q**3 + 2*q - 165622151 wrt q.\nAnswer: 357612102*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000871519 to seven dps.\nAnswer: -0.0000872","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**2\/2 - 39*o\/2 + 1242 = 0.\nAnswer: -36, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 29*i + 736. Calculate j(-24).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 98 and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 10 + 10)*(6*w + 14*w + 1 - 12*w).\nAnswer: 184*w + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 39*t = -92 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.81 != 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -466 - -1530. List the prime factors of m.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 - 2888*g**2 - 5314 - 7296*g + 277 - 90*g**3 - 5*g**4 + 429 - 114*g**3.\nAnswer: -4*(g + 1)*(g + 2)*(g + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -15*r**3 - 7*r**2 - 14*r - 26. Let n(g) = -2*g**3 - g**2 - 2*g - 2. Give b(a) - 7*n(a).\nAnswer: -a**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, b: 2, j: 1, k: 1, q: 1, p: 1}. What is prob of sequence pqck?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**3 - 4790*o**2 - 2258788*o - 2254000 = 0?\nAnswer: -1750, -644, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(3 - (-10)\/(-4)). Suppose l = 4*f + 27 - 3. Let c be (2\/2)\/(f\/(-12)). Solve -5*k - 2*b + 0 + 23 = 0, -c*b + 8 = 2*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 57*c - 28. Let f = -191 - -220. Let r be y(f). Let k be -1 + (-2)\/(534\/(-261)). Is k bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -35.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -0.02. Let p = g + 0. Let y = p - 0.22. Which is smaller: 0.3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) 13.7 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-7)\/(-56) + (-230)\/(-80) - -12 and 435.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2642, 10 in increasing order.\nAnswer: 3, 10, 2642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**3 - 43*v**2 - 48*v + 613. Calculate the remainder when 684 is divided by p(22).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 4)*(1 + 2*g - 1) - 32*g - 6*g - 4*g)*(-g**3 - 3*g**3 + 2*g**3) + (g**3 + 0*g**3 + 0*g**3)*(-2*g - g + 2*g) + 3*g**2 - 3*g**4 - 3*g**2.\nAnswer: 76*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 5*b + 647 + 365, j = -b - 506. Let h = -504 - j. Do h and 34\/19 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -305 + 310. Solve 2*f + 1 - 11 = 2*j, -2 = z*f + 4*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267203273.\nAnswer: 41, 1567, 4159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 504340 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -101\/24*v**4 + 0 + 0*v - 17*v**2 - 95\/6*v**3. Differentiate k(t) with respect to t.\nAnswer: -101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -182 + 171 - ((3 - 6) + -34 + -3).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*h + 114 - 9 = -51 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000093256536 to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v*v\/(v\/(v\/v**(-2))))**(-3\/22))**(-22) assuming v is positive.\nAnswer: v**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.461751mm?\nAnswer: 0.008461751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*q**3 + 20*q**2 + 16*q.\nAnswer: -2*q*(q - 2)*(7*q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 3*w + 24 = 0, -5 = 5*u - 4*w + 8 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -16, 0.3, -0.3, -7.\nAnswer: -16, -7, -0.3, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(48\/9))\/((9243735\/(-6176))\/(-515))\nAnswer: -8\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.88 + 1.58. Let b = 2 - 2.1. What is the closest to b in -2, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3248 - 3210. Sort 4, l, -4, 2 in ascending order.\nAnswer: -4, 2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-120)\/(-66) + (6\/11)\/3. Let v be (14 - 8)\/(-4 + a). Sort 1, v, -7, 5 in decreasing order.\nAnswer: 5, 1, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 618\/26753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 43 = -2*q + 141, 49 = q + h. Suppose -3*i = -q - 44. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -69*i**2 - 7. Let j(y) = 839*y. Give q(j(f)).\nAnswer: -48570549*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-5))\/((-1)\/5). Let d be (-3)\/(u\/(-6)*2). Does 5 divide 9*(d - 0)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 4:08 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 4*s - 11. Is m(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122001222102 (base 3) to base 15\nAnswer: -69888","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 258*z**3 - 248*z**2 - z wrt z.\nAnswer: 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540945 to the power of 1\/2, to the nearest integer?\nAnswer: 1241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 3*v**2 - 10*v - 3. Suppose -5*f + 40 = -5*p, 0*f + 31 = 4*f - 5*p. Is u(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1952\/18183 - -2\/957. Put h, -4\/5, 0.5 in increasing order.\nAnswer: -4\/5, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.03?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**17*c**4*c**(-1\/4)*c assuming c is positive.\nAnswer: sqrt(c)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 2527 - 2477 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 14 + 3)*(-i + 0 + 0).\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3553, 6973, 10419, 13903, 17437, 21033?\nAnswer: 24703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15440 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-8)\/f)\/f**(-1\/8))\/(f**(-1\/5))**1 assuming f is positive.\nAnswer: f**(-307\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from xlxlzaq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(3\/7)))\/(i\/i**(-4))*(i\/((i*i**(1\/3)*i)\/i*i*i))**(-50)*i**(-1\/4)\/i*i*i**(-1\/5)*i**(-3)*i**(-2\/11) assuming i is positive.\nAnswer: i**(497141\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q - q - q + q - 7*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, -3, 2, 4 in decreasing order.\nAnswer: 5, 4, 2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 2*z - 670 = 0. Let d = z - 114. Let n = -38 - d. Solve 3 = -2*p + n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.454 - -1.196. Let n = 43.9 - k. Round n to one decimal place.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 20*a. Let t(n) = -3*n**2 + 3*n - 1. Let y be t(1). Determine w(y).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -73\/4 (b) 22 (c) -2 (d) 0 (e) 2 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of 151*l**2\/2 - 1011. Let t(g) = 6*g**2. Calculate p(t(x)).\nAnswer: 906*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-348)\/(-7)*(-133)\/19. Let a = -346 - v. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = 3. Let p = 7 - 2. Suppose 3 = -2*j + p. Calculate the smallest common multiple of j and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111 (base 11) to base 14.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76680 = 3784*l - 3769*l. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*y = -7*i + 69, 43 = 3*i + 5*y. Suppose -5*k + k + 2*f + i = 0, 3*k - 3*f = 9. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1255 - -1280. Solve 0 = -5*y - 3*x + h, -5 = -12*x + 11*x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9706*k + 9608*k = -4508 for k.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -37.626 times 62.5\nAnswer: -2351.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 8*b**2 + 81*b + 1172. Let a be m(-18). Is 2954 not equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66347\/4 + 16587. Factor 0 - h*d**2 - 1\/12*d**3 + 0*d.\nAnswer: -d**2*(d + 3)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*i - 2*i - 4*o, 5 = o. Suppose -5*r = -5*v, -5*r + 24 = i*v - 26. Solve -2*j + r = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*o**2 + 49*o**2 - 30*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 624233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/21219 and 121\/6.\nAnswer: 42438","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 21. Let k be a(14). Suppose -8*i + 209 = -k*i. Let q = -12 + 31. What is the greatest common divisor of i and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*s + 22 = l, -s - 16 = -3*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0 = -4, -5*g + a = 21. Let f be -3 - (-3 - 2\/g). Let k = 358.2 - 356.2. Put 1.3, f, k, 0.1 in descending order.\nAnswer: k, 1.3, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000a6 (base 11) in base 5?\nAnswer: 110431034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 6:29 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -64. Let p = s - 21. Let l(n) = -n**3 - 7*n**2 - 8*n - 2. Calculate the remainder when p is divided by l(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*c + 2*r + 8, -5*r = -4*c + 17. Let t(f) = f**3 + f**2 - f - 1. Let p be t(c). Let j be (-4)\/(-3)*12\/(-8). Is j greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -49. Let w = t - 30. What is the highest common factor of w and 80?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -65*g**2 - 34*g - 23. Let v(l) = -29*l**2 - 16*l - 12. Let t(o) = -4*i(o) + 9*v(o). Factor t(f).\nAnswer: -(f + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -b - 8, -5*z = 4*b + 9 + 23. Let d(w) = -6*w + 12. Suppose 16*x = 14*x + 2. Let s(y) = -y + 1. Give b*s(f) + x*d(f).\nAnswer: 2*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(112)*-2 - sqrt(112))\/sqrt(4))\/(-6*(sqrt(4) - sqrt(36)*3)) + -2.\nAnswer: -2 - 5*sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 l when four letters picked without replacement from {s: 4, l: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (2 - (-2 - -33)). What is the highest common factor of j and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 2:30 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mq when two letters picked without replacement from mmjjjmqqjmm.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255660 is divided by 894?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 29559989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z + 3 + 8 - 9 + (-7*z - z + 5*z)*(-4 + 5 - 3) as f*z + u and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81 + -98. Let w = u - -17.3. Which is greater: w or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35377 and 1088?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 259688761 to the nearest integer?\nAnswer: 16115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4654*t**2 - 3*t**3 + 4652*t**2 + 2624 + 2*t + 2*t**3.\nAnswer: -t**3 - 2*t**2 + 2*t + 2624","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -282763*b*h**5 - 3*b*h**2 - 2470*b - 37*h**5 + 43 wrt h?\nAnswer: -16965780*b*h**2 - 2220*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 11:39 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 = 5*a - 42*f + 43*f, -91*a + f + 273 = -98*a for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*v + 100*v = 1827 + 112 - 309 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (80\/25)\/(4\/10). Let h(w) = 3*w + 4. Let p be h(3). Let b = p - k. What is the remainder when 14 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -84*f - 99. Give m(-2).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -888*v**2 + 9*v + 9. Let b be w(-9). What is b rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*1*3)**2.\nAnswer: 1458","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(11)*-1))**2 + (2*sqrt(153))**2.\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33705 and 246610.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.01 + -0.01. Let z = 1.2 - 7.2. Let r = z - -5. What is the nearest to r in 0, w, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -60. Let y be (2 - 189\/(-6))*(t - -2). Let r = y - 67. Solve 2*o + 0*o - 10 = r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 4*f**2 + 5*f + 4. Let l be w(-3). Let y = 31 - 12. Let s = 18 - y. What is the nearest to s in 5, l, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-133)\/798*((-7182)\/(-7))\/(-9)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25423*a*g**2 - 5*g**2 + 2*g - 57 wrt a?\nAnswer: 25423*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -319434, -638881, -958328?\nAnswer: -1277775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = -60. Suppose 7*q - k = 3*q. What is the units digit of (-3)\/(9\/(27\/(-10)) + q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31842 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*i**2*t*z**3 - 3*i**2 + 21*i*t*z**2 - 27*i*z**2 + 936*t**2*z**3 + 5*t**2*z**2 wrt z?\nAnswer: -570*i**2*t + 5616*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18085851 to the power of 1\/2, to the nearest integer?\nAnswer: 4253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 74561180 rounded to the nearest 100000?\nAnswer: 74600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56962 is divided by 282?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 11?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/30 and -167\/1512.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 672378976 and 192.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/5)\/z*z)\/(z**(2\/15)\/z))\/((z\/(z*z**(-6)*z))\/(z*z\/(z*z**(3\/5)))) assuming z is positive.\nAnswer: z**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 9247998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -174 + 711 + 81*m + 66*m**2 - 179 - 172 - 171.\nAnswer: 3*(m + 1)*(22*m + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = -2. Suppose -2 = s - 2*s. Suppose -5*n + 2*n = 0. Put n, u, s in descending order.\nAnswer: s, n, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5285\/(-46508))\/((-5)\/(-64)).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 82 - 79. Let m(i) = 5*i + 9. Let z(b) = 4*b + 8. Give l*m(o) - 4*z(o).\nAnswer: -o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.098619319 to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c + 5bd?\nAnswer: 5a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -122*i**3*y**5 - 914*i**3*y - 2*i*y - 109*y**3 - y wrt y.\nAnswer: -2440*i**3*y**3 - 654*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4001 is divided by 118?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 14) to base 7.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 10:48 PM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 27*y + 642. Calculate v(-23).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, 1\/2, -41, -2\/13, 0.2, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000111596 rounded to 7 dps?\nAnswer: 0.0001116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.50342258 to three dps.\nAnswer: 17.503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 9:31 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8) + 42\/(-56). Let s = o - -6. Solve y = -i - 1, -s = 5*y - i + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/1001 and -13\/408562?\nAnswer: 5311306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 0.2 (c) 0.1 (d) 0.271 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mtxb when four letters picked without replacement from {m: 1, x: 2, t: 2, b: 8}.\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -9 + -4 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5506*p + 192724. What is c(35)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*p - 305 = 0, 0*p = 4*u - 4*p - 440. Suppose 20*w - 15*w - u = 0. Calculate the remainder when w is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03 - 2418127.\nAnswer: -2418127.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q**2 - 4569*q + 18904. Give p(-461).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5164 + -0.7164. What is the closest to -2\/53 in -2, s, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 + 17. Let i = 461 + -460. Let u = 0 + 0. Which is the nearest to y? (a) i (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = f - 61, 5*i + 4*f - 86 = 6*f. Let r(d) = 2*d**2 + 2*d - 4. Let j be r(-4). Factor -4 + j*s - i*s**2 + 4*s**3 + 4 - 8.\nAnswer: 4*(s - 2)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*k = -4*x, -x - 4*k + 4 = 0. Calculate the highest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -251067893*m**2*s**2 - m**2*s + 7*m*s - 2*m + 48*s + 11366 wrt s?\nAnswer: -502135786*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/((-2)\/10 - 369\/(-1695)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13592305.35 rounded to the nearest one thousand?\nAnswer: 13592000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 - 101*z - 615. Calculate g(-26).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5))**(-6\/11)*w\/w**5*w*w**5*w)\/(w**(-4)\/(w\/w**(-2))*w\/w**(-2\/17)*w*w*w\/w**(-1)*w) assuming w is positive.\nAnswer: w**(3426\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -689, -6230, 1\/3, 4 in decreasing order.\nAnswer: 4, 1\/3, -0.4, -689, -6230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (10 + -6 - -5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 17 = 1. Let z = 0 + 0. Let d = z + c. Calculate the least common multiple of d and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8904.864 tonnes in kilograms?\nAnswer: 8904864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3272.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, -0.5, -5, -7, -1051, -4, -17?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271\/37 at most 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 6*g + 26 = 22, 3*l + 11 = g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 7:45 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8857 = 5*b - 17113. Suppose -26305 = -13*z + b. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p + 1 - 1 + (3*p + 2*p - 3*p)*(0 + 0 + 3) + 0*p + 0*p - p to w + l*p and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3289407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 304 = -5*p. Suppose -35 - p = -3*h. Let r = -23 + h. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 11.1, -0.6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 123646700 to the nearest one hundred thousand.\nAnswer: 123600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 - g**2 + 6*g**2)*(3 - 2 + 3) to m*g + y*g**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - g)*((6 - 1 - 3)*((-2 + 3 - 2)*(1 - 4 + 1) + 20 + 15 - 16) + (-2 + 2 - 2)*(-4 + 1 + 0)) as o + l*g and give l.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -68, -14, 131, 5 in decreasing order.\nAnswer: 131, 5, 2, -2, -14, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -303 + 339. Suppose -154895 = 3*a + h, -p*a + 33*a + 2*h - 154880 = 0. Round a to the nearest 1000.\nAnswer: -52000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j, -3*g + 8 = -3*j + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) - (3 + sqrt(125)))**2 + sqrt(125) + sqrt(5))*4.\nAnswer: 36 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1023, 0.3, -3\/7, 6, 88.3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -5*h**4\/24 + 39*h**3\/2 - 9*h**2. Let c be g(0). Calculate the highest common factor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (18 - 8) - 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4.8. Let f be ((-36)\/45)\/((-6)\/190). Let o = f + -227\/9. Which is the closest to -1? (a) k (b) -3\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2. Suppose d + 2*x - 4*x = 283, 2*x = 3*d - 845. Let c(r) = -282*r**2 - d*r**2 + 566*r**2 - 1 + 2. Give c(y(i)).\nAnswer: 3*i**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z. Let b(o) = -701*o**2. Give u(b(x)).\nAnswer: 2804*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 189 and -190.\nAnswer: -35910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6383, -12766, -19149?\nAnswer: -25532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -6*j**3 + 5*j**2 + j - 4. Let k(f) = f**3 - f**2 - f. Let v(n) = 3*k(n) + t(n). Let l be v(3). Let b = -35 - l. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i**3 + 5*i**2 + i. Let w be s(4). Suppose 0 = 14*p + w - 5744. What are the prime factors of p?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*a**3 - 79*a**3 + 34*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 - 66*a**2\/5 + 224*a\/5 + 288\/5.\nAnswer: -2*(a - 4)*(a + 1)*(a + 36)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 129*c + 90677. What is k(-702)?\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 538 - -39?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -503321 - -3?\nAnswer: -503314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0043477 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10340 and 638?\nAnswer: 299860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (-28 - 9 - -13 - -24).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 + 54*r + 144. What is u(36)?\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 613303874 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/35 + ((-120)\/25)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2321 (base 7) to base 8\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279717 is divided by 230?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 86 = 11*t, 0 = -5*f - 9387*t + 9386*t - 22 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11 - 4 = 0. Let k(n) = -3*n**2 - 10*n - 19. Let q(x) = -2*x - 3*x - 2*x**2 + 3 - 13. Let r(a) = -3*k(a) + 5*q(a). Calculate r(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49.2 - -54. Let q = y + -8.8. Which is the second smallest value? (a) -7 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(2 + -1 + 1). Let c = 3.98 - 4. Let l = -0.22 - c. What is the second smallest value in b, -5, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1848*x + 2168.\nAnswer: -1848","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 917322 and 14546106?\nAnswer: 101822742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27119.\nAnswer: 47, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w + 4. Let d be l(-4). Let v be d\/(-2) - (-9)\/(-3). What is the units digit of 980\/21 - (-1)\/v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24210 - 10?\nAnswer: -24220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 15*g - 17. Let j be ((-7)\/5 - -1)*(-13 - -48). Give c(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*y**3 - 542?\nAnswer: -54*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/11, 4\/17, 0 in ascending order.\nAnswer: -5, -2\/11, 0, 4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 at least as big as 71\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34592261*i**3 + 664*i**2 - 27652*i.\nAnswer: 207553566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2222011100 (base 3) to base 9.\nAnswer: 88140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**2 + 2. Let c be f(3). Let j = c - 60. Calculate the remainder when j is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*m**2*t - 187*m**2 - 3598*m - t wrt m?\nAnswer: 30*t - 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 140611385 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*n - 13. Let s be (6\/5)\/(6\/n). What is the biggest value in s, 0, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 m, and 2 s when four letters picked without replacement from gmssgwrrrssssrmmw.\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -107478*x + 1534055 wrt x.\nAnswer: -107478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = s - 4, 132*z = 131*z - 4*s - 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74024 is divided by 223?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**2\/2 + 3606*f + 248745\/2 = 0.\nAnswer: -2369, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 599 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2106, -2127, -2162, -2211, -2274?\nAnswer: -2351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3823*l**5 + 15946*l**2?\nAnswer: 229380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 23*f = 14*f. Suppose -5*z = -2*m - 6, m + f*z = -z + 4. Factor -4\/9 + 1\/9*l**4 - 4\/9*l**3 + 1\/3*l**m + 4\/9*l.\nAnswer: (l - 2)**2*(l - 1)*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.58 + 13.6343. Let h = v + 24.0457. Let x = h - 24. Which is the biggest value? (a) x (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*s = 34 + 41, 0 = -4*s + 20. Let f = 92\/9 + h. Which is smaller: -4\/3 or f?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.89 + -0.11. Let l = x + 4.78. What is l rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -2*s + 137. What are the prime factors of s?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15641.93892 take away -245.7?\nAnswer: 15887.63892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 135\/4 + -137\/4. What is the nearest to 1 in 3, -3, 2\/9, p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 2*z**3 - 5 - 4.\nAnswer: -2*z**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2398 take away 139916175?\nAnswer: -139913777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -357 by 7526.\nAnswer: -357\/7526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -125018.\nAnswer: -125017.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3656 a factor of 165726480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + p - 4*p - 35 = 0, 21 = -g - 5*p. Suppose 3*h = -75 - 9. Let b = g - h. What is the least common multiple of b and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 631 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69672 and 497496?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3114 (base 5) to base 7.\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 3667*b + 170831. Determine c(-46).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1573)\/(-260) + 5 + (-606)\/120. Sort -0.19, 0, h, 5 in descending order.\nAnswer: h, 5, 0, -0.19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1\/91448 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1541*u**2 + 3100*u**2 - 12*u - 1560*u**2 - 1. Give g(-13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2470)\/(-156) - (-1)\/6. Let n be (36\/i)\/(20\/160). What is the greatest common divisor of n and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (295 + 250 + 146 - 89)*(2*t + 3 - 3) to the form v*t + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5437242, 10874387, 16311532, 21748677, 27185822?\nAnswer: 32622967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3799?\nAnswer: 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -969 - 127. What is w rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -26 + 1 + 0 + 13 - 13*n. Let f(p) = -3*p - 3. Calculate -9*f(c) + 2*i(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5 + 4 = 0. Calculate the highest common factor of v and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/4 + 9*c**3\/2 + 21*c**2 - 49*c\/2 - 1029\/4.\nAnswer: (c - 3)*(c + 7)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 35*h**2 - 425*h + 1692. What is the remainder when 578 is divided by l(4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 7 + -1 + 3. Let n(h) = -9*h + 91. Let p be n(y). Let g(w) = 4*w + 1. Let z be g(5). Is p at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.336 + -0.014. Let w = d - -1.02. Let u = -0.6945 + w. What is u rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 519375178 divided by -31\nAnswer: -16754038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838 is divided by 19 - (0 + 7 - 1 - (-35 - -37)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -n**2 - 1122*n - 314721 = 0.\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 5:17 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-1 + 20 - (199 - 199))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13041 (base 6) to base 13\nAnswer: b86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3252091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 8:51 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*s + 8, -6*s + 16 = -4*q - 2*s. Are 14 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609659269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-4*(sqrt(612) + 3) - (-3 + sqrt(612) + 1)))*2.\nAnswer: -60*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-3))\/5*3\/(-190). Let t = f - 193\/285. Is t smaller than -0.28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1645 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2300323 + 1?\nAnswer: -2300322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 79*y - 71. What is the remainder when 351 is divided by d(76)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1001 - -1086. What is the highest common divisor of 35 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.2 + -16.2. Which is the second smallest value? (a) l (b) -0.96 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 - 10.16. Let g = -10.2 - j. What is the smallest value in g, -5, 1.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -409, -846, -1457, -2242, -3201, -4334?\nAnswer: -5641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50\/2600)\/((-102)\/(-1768))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3452 and 1808.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**6*(f\/f**16)\/f assuming f is positive.\nAnswer: f**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -35*s**3 + 7*s**2 - 6. Let u(y) = -34*y**3 + 8*y**2 - 7. Calculate 7*b(c) - 6*u(c).\nAnswer: -41*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**3 + 3419380*l - 3418512*l + 3*l**3 + 1576*l**2 + 806*l**2 - 2*l**4 wrt l.\nAnswer: -24*l**2 + 4764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 9:37 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/3*2\/8. Let z = -10 - 12. Let l = -27 - z. What is the closest to q in -1, l, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7488) - (sqrt(7488) + -3 + (sqrt(7488) + 0 + sqrt(7488))**2 + sqrt(7488))) + sqrt(7488) + (-1 + sqrt(7488) + -4*sqrt(7488))**2.\nAnswer: 144*sqrt(13) + 37444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 - 6*k - 5. Let t be b(-4). Suppose 0 = 2*h + t*c - 53, -17 = -4*c + 3. Suppose -p + h = -7. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 6*k**2 - 7*k. Let y = 54 - 47. Calculate j(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 75194\/971 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s. Let a(u) be the second derivative of -u**3\/2 - 405*u**2\/2 + 3*u - 145. Give a(b(r)).\nAnswer: -6*r - 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8398 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1060216 to the nearest integer?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 4, -0.4, 0.3, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6938 is divided by 129.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 7*f - 5 + 6 - 5 - 8. What is the units digit of j(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -19. Let u(y) = -y**2 - 6*y - 3. Let z be u(-2). Suppose -z*i - 5*h + 40 = 0, -2*i + 11 = -h - o. Solve -i = 3*k + 1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6766*d**2 + 7*d - 7*d.\nAnswer: 6766*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**5\/r)\/(r\/r**(-7)))\/(r*r*r*r*r**(-8)\/r*r**5*r) assuming r is positive.\nAnswer: r**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106.18 + -53693.15.\nAnswer: -53586.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 131440 - 145?\nAnswer: 131262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 88 (b) 10 (c) -2\/97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/220 and 47\/880?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a hour?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 59, 1, 36, -5, 2 in descending order.\nAnswer: 59, 36, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -54 (b) -2 (c) 5\/7 (d) 2 (e) -9\/50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 3. Let b be a(7). Suppose -3*f + 12 = 3*i, b*f + 2 = 3*i + 18. Suppose -w + n = f - 3, -3*n + 31 = 4*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760576208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2564771951.\nAnswer: 7, 2237, 163789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 167094 and 54.\nAnswer: 501282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 3, a: 1, o: 4, e: 4}. Give prob of picking 1 j and 1 a.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7483417 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.09933 micrometers in meters?\nAnswer: 0.00001609933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.01925 times -4\nAnswer: 4.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(4)*1 + (sqrt(63) + (sqrt(441)\/sqrt(7) - sqrt(63)))*-1)\/(((sqrt(108)\/sqrt(2))\/sqrt(2))\/(sqrt(108) - (-2*sqrt(108) + sqrt(108)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -445.2 rounded to the nearest ten?\nAnswer: -450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 12176615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 9, j: 5}. What is prob of picking 1 u, 1 j, and 1 t?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*g. Let w be -3 - (g + -2) - -6. What is the first derivative of 38*l**2 - w - 38*l**2 - 4*l**3 wrt l?\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69b (base 12) in base 3?\nAnswer: -1100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r - 14. Let d(u) = 54*u + 510. Let h(z) = d(z) + 2*i(z). Give h(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19294 (base 11) to base 15\nAnswer: 7eca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 8*f + 1. What is the units digit of p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 5. Suppose -n*p = -3 + 9. Let g(y) be the first derivative of y**3\/3 - y + 13. Give g(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -4968.\nAnswer: 1\/2484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**5\/20 + 3*j**4\/4 - 5*j**3\/6 - 2*j. Let k be f(8). Solve 4*n = -o + 4 - k, 0 = 3*n + o + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 1:22 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from ssbsbosahohh?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10387691*s**3*y**3 - 2*s**3*y**2 - 140000*s**3 wrt y.\nAnswer: 62326146*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -633662674 - 2940.\nAnswer: -633665614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 21*j**2 + 22*j + 6. Let t be a(-22). Solve 0 = 5*d - t*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 201*s**6 + 2*s**5 + 3*s**3 - 3*s**2 + 62*s.\nAnswer: 24120*s**3 + 120*s**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 93693099?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from zuuyyuttyyuyyylz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65011 is divided by 4327?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpot when four letters picked without replacement from lpsotlwst.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 74*j**2 + 54*j - 12. What is the units digit of h(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.7 (b) 0.2 (c) 2 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i + 155*i - 37*i - 18*i - 60*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 7*k**2 - 5*k + 2. Suppose 5*i - 5*r + 32 = -18, -14 = 5*i + 4*r. Calculate t(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*t = 3*r - 23*t - 9780, -3*t - 3262 = -r. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/105 + 248\/(-190).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/62 and 1\/108?\nAnswer: 3348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -128223, -128187, -128125, -128037, -127923?\n\"Answer: 13*z**2 - 3*z - 128233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31161.6055 - 0.1.\nAnswer: -31161.7055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s = 1040 + 1237. Calculate the remainder when s is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**3\/8 - 81*r**2\/4 - 2265*r\/8 - 1953\/4 = 0.\nAnswer: -31, -21, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3151 + 3173. Solve -6 = 28*v + x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 6 - 6. Let g be -2 - k*(-42)\/9. Suppose -g = -5*c + 13. Solve 24 = -c*o - y, 0*y + 5*y + 4 = 4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -11*o**5\/15 + o**4\/24 - 53*o**2 + 1. Let t(a) = 3*a. Calculate y(t(d)).\nAnswer: -396*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 5. Let z be n(-6). Let q be ((-4)\/2)\/(z\/(-11)). What is the highest common factor of q and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -543160 + 634?\nAnswer: -542526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -14*d + 16*d - 9568, 3*d - 14362 = -b. Is 4789 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321828 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g**2 + 20*g - 318. List the prime factors of k(11).\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -1\/60*a**5 - 1\/24*a**4 - 1\/6*a**3 - a + 0 + 0*a**2. Let d(c) be the second derivative of b(c). Differentiate d(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 4, -38 in decreasing order.\nAnswer: 4, 2, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/3, 47.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 8:01 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6 - (-4)\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 3*j - 3201, 5*j - 5326 = 30*w - 32*w. What are the prime factors of j?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -5, -1306 in increasing order.\nAnswer: -1306, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(13)*1 + sqrt(1300)*-2.\nAnswer: -21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 12*a**2 - 52*a - 53. Let s be j(-16). Let t = s - -401. List the prime factors of t.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(76)*-3)\/(((sqrt(112) - 1*sqrt(112)) + sqrt(112))\/sqrt(7)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 2. Let o be s(0). Let h = o + 4. Suppose -h*a = -6*a. Solve 6*p - p - 10 = a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**10*f)\/f**14)\/((f\/(f*f**(1\/4)))\/f**(-2\/27)) assuming f is positive.\nAnswer: f**(-197\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**2 + 100*l - 131. What is the tens digit of g(24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -979360, -979403, -979460, -979537, -979640, -979775?\nAnswer: -979948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1656 a factor of 4011437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 395 = -n, -2*z - 2*z + 2*n + 530 = 0. Let g(y) = -7 - 4*y - 7 + 18. Let r be g(-2). What is the highest common factor of z and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42, -15, 60, 207, 450, 813?\n\"Answer: 4*f**3 - f - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -91546112 divided by 89\nAnswer: -1028608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 240. Calculate k(40).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 1164*s**2 - 448049*s - 5868. Give c(-1469).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/32*22*(-106)\/49555*-4.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(567) - (-1 + sqrt(567))) + 4 - (-3*-2*sqrt(567))**2 - (3*1*1*sqrt(567))**2).\nAnswer: 153060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2613*c + 2613*c - c**3)*(1 - 1 - c) + 6 - 6 - 9*c**4 - 3*c**4 + 0*c**4 + 2*c**4.\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*l + 114 + 72 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -17*l**4\/24 - 49*l**3\/6 + 2912*l**2. Determine f(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87296.73 or 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1555 - -11?\nAnswer: -1544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54338, 217285, 488862, 869069?\n\"Answer: 54315*x**2 + 2*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbrmzmmkmkrrrmrm. What is prob of picking 1 k and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4686 + 4686. Which is the closest to s? (a) 1 (b) -2 (c) -0.041 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6540*p + 2829*p - 4226*p in the form q + l*p and give l.\nAnswer: -7937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*n - 25 = 0, 2*n + 4 = -4*j + 14 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -242.1769 + -1847.11\nAnswer: -2089.2869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 3:42 PM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -86 in 3, -17.3, 0.2?\nAnswer: -17.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -108.851 and -0.4.\nAnswer: -109.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001 (base 2) in base 8?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 9\/262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4142 a factor of 118080136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 2, -1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3272?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 7:11 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 29*i + 20*i - 14*i + (2 - 1 - 2)*(-2*i + 1 - 1) - i + 5 - 5.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2 (b) 3\/4 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -7197793\/3 <= -2399265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve -1968*s = 11847 + 8181 + 15396 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 + 35. Let y = 13 - z. Let b(s) = 4*s - 11. What is the least common multiple of y and b(4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -22*b - 40. Let p(k) = 9*k + 16. Give 12*p(a) + 5*q(a).\nAnswer: -2*a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/5 + 92376*n\/5 - 533332836\/5.\nAnswer: -4*(n - 11547)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3600*a**4 + 2235*a**2 wrt a?\nAnswer: -86400*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r - 7. Let n = 957 + -950. Calculate g(n).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgg. Give prob of sequence jg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 142, 4, 214, 31.\nAnswer: -2, -1, 4, 31, 142, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, c: 1, q: 7, f: 1}. What is prob of sequence cuf?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 26*o**2 - 487*o - 38. Calculate k(18).\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s**2 + 129*s + 161. What are the prime factors of c(-39)?\nAnswer: 2, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*3*2)\/((sqrt(88)*1)\/sqrt(8)))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 207703?\nAnswer: 207707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1762841906.\nAnswer: 2, 7, 107, 1176797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -6*v + 2. Let j be n(-3). Suppose j = -2*o + 4*o. Suppose -5*k = -20, -o - 17 = -5*r - 3*k. What is the remainder when 8 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u. Let m(s) = -13*s + 18*s + 16*s. Determine p(m(f)).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2014 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 52 - -37327116?\nAnswer: 37327170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 18*k**2 + 2*k - 2. Is r(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 487691 divided by 102\nAnswer: 487691\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 3*b + (-b + 3*b - 4*b)*(1 - 1 - 5) - b - b + 3*b + (-3*b + 2*b + 2*b)*(1 - 1 - 1) to g + k*b and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/(-2))\/(-2 - -1). List the prime factors of (-8)\/m*5*(-38)\/(-4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**40*x)\/(x*x*x\/(x*x\/(x\/((x*x\/(x*x*x**(-39)\/x*x*x)*x)\/x))*x)) assuming x is positive.\nAnswer: 1\/x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*f + 30 = 0. Let b = -3 - f. What is a in -4\/5*a**2 + 0 + 2\/5*a - 6\/5*a**b = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1243182, 1243184, 1243186, 1243188, 1243190, 1243192?\n\"Answer: 2*m + 1243180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 49. Let b = -15 + z. Let r(g) = 0 + 4 - 4*g - 1 - g**2 + b. Determine r(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 12 = -4*u, 4*u = 5*q + 15 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 8 = 5*a, 3*a - 2*f + 468 - 478 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.08 + -1.781. Let s = a + -1.3. Round s to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 37632060947357?\nAnswer: 37632060947357.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4608671 (base 9) to base 10.\nAnswer: 2486440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7\/108103 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 72 and -4.578.\nAnswer: -329.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -106, -92, -56, 14, 130, 304, 548?\n\"Answer: 2*n**3 - n**2 + 3*n - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*w + 62, 1023*o - 513*o + 12 = -6*w + 512*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -377, -1428, -3179, -5630, -8781, -12632, -17183?\n\"Answer: -350*a**2 - a - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10757 = 2*s - m, -2*s + 4*m = s - 16123. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 37 (c) -14.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1, 684 in increasing order.\nAnswer: -2\/3, 1, 684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15341 and -0.1?\nAnswer: 15340.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 8*o**4 + 372*o**3 + 23067*o**2 + 476647*o. Let b(g) = 18*g**4 + 744*g**3 + 46135*g**2 + 953291*g. Let a(c) = 3*b(c) - 7*n(c). Factor a(j).\nAnswer: -2*j*(j + 62)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/8 - 185*u**3\/8 + 2157*u**2\/2 - 598*u - 21160.\nAnswer: (u - 92)**2*(u - 5)*(u + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = t - 6*c + 3*c, -4 = 4*c. Calculate the lowest common multiple of 6 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43550 (base 8) in base 4?\nAnswer: -10131220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2. Let m(g) = 492550*g. Determine w(m(p)).\nAnswer: 242605502500*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-2)*6\/9. Let h be (p + 999981)*(-2)\/(-4). Suppose 0 = 5*j - 3*f + 1250009, 0*j = -2*j - 4*f - h. Round j to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 38 = -4*l, s + 4*l + 0*l = -5. Suppose -4*a = 3*h - s, 0 = 5*a - 4*h + 1 - 7. What is the smallest common multiple of 14 and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31373426 divided by -9982\nAnswer: 3143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8165 and -1?\nAnswer: 8165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3968\/(-3038))\/(-4)*-14.\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/9)\/((-2)\/114). Let z = 0 - w. Calculate the remainder when 54 is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200524573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) 1 (c) -5 (d) 108\/71 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xgx when three letters picked without replacement from {x: 2, g: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzmpgaa. Give prob of sequence mmp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360738?\nAnswer: 2, 29, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 - 978*m**2 - 88389*m\/2 - 505195.\nAnswer: -(m + 23)**2*(m + 1910)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/4 - 59*u**4\/4 + 265*u**3\/4 + 315*u**2\/4 - 1233*u\/2 + 486 = 0. Calculate u.\nAnswer: -3, 1, 3, 4, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70123 - -122723. Does 333 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 369565?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5. Let x = 4\/7 - -2\/21. Let o = -5\/3 - -49\/24. Sort d, o, x in descending order.\nAnswer: x, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -19*v + 58 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*w = -15, 3*w + 17 = 4*y - 3. Suppose y*m = 13 - 3. Let f be m\/(-6) - (-626)\/6. What is the greatest common factor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {k: 8, c: 5, r: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -73.53 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (5 + -26 + 34 + 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/98 - 185\/1078. Let z = 0.5 - -3.5. Let q = z + -3.6. What is the nearest to n in q, -3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -137*c + 3*c - 1474 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -63*k**2 + 2*k + 2. Determine w(2).\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-9))\/((-6)\/(-522)). Which is smaller: 9 or a?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w. Let b(h) = 57*h + 2. Determine b(p(d)).\nAnswer: -171*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58 - 201 + 259 - 2*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.62942214 to one dp.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.656 and -0.34?\nAnswer: -0.22304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from gqqqqff.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 16. Let t = l + 1.0048. What is t rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1976*l**2*r**3 - 179*l**2*r + 107*l**2 + 107336 with respect to r.\nAnswer: -5928*l**2*r**2 - 179*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aamm when four letters picked without replacement from caaacmaaaaaaccamcc?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3732 + 3752. What is the nearest to -0.8 in v, 0.1, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47 by 167.\nAnswer: -47\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f + 15. Let p be d(4). Suppose -13*j + j = -p*j. Suppose 7 = i - 5. Solve -5*z - u - 14 = j, 5*u + 34 = -z + i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2477 - 51?\nAnswer: -2528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(-m + 2*m + 2*m)*(-m**2 + 0*m + 0*m + 3*m) to r*m + d*m**3 + a*m**2 + o and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-5) - (-6 + (-1924)\/(-80)). Let s = k - -79\/4. What is the smallest value in 3, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099849 smaller than 1100162?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5141630 is divided by 10161.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 3 + 0*t + 4. Suppose 9*s - 4*s = -25. Let h(w) = 2*w**3 + 6*w**2 + 11*w - 3. Let n(z) = s*m(z) - h(z). Factor n(q).\nAnswer: -2*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 - 10 = -w, -5*w + 50 = -4*x. Let l = x - -27. What is the remainder when 46 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25012?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 79*u - 79*u + 2*u**2 + (8 - 3 - 1)*(-3*u**2 - 4 + 4) + (-2 - u + 2)*(-2*u - u + 2*u) to the form k*u**2 + c*u + l and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*i**3 + 37*i**3 - 3*i**3 + 34*i**3 - 30*i**3 - 210 with respect to i.\nAnswer: 222*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316d01 (base 14) in base 13?\nAnswer: -4666cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-three halves of a microsecond?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24798, 99256, 223358, 397110, 620518, 893588, 1216326?\nAnswer: 1588738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 6*o - 17. Let n be z(-6). Which is smaller: -15 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**2\/3 - 19616*k\/3 - 14365988\/3 = 0. What is k?\nAnswer: -647, 5551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0306452 less than -12580490?\nAnswer: -12580489.9693548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-12))\/(99\/1188)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5787, 11082, 16381, 21684, 26991, 32302?\n\"Answer: 2*n**2 + 5289*n + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -10*y. Let o(j) = 20763*j**2. Calculate g(o(f)).\nAnswer: -207630*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6055 - -6054.0871. Let p = -0.0519 - g. Round p to 2 dps.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 2295.\nAnswer: -4590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*m - 36. Suppose 4*o + m = 26. Solve 0*c + o*c - 20 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/3 - 121*a**2\/3 - 1216*a = 0. What is a?\nAnswer: -64, -57, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11109\/4 - -2813. Let p = -36 + w. Is p >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4038.7066 rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82880161*d**2*u**2 - 2*d**2*u + 2*d**2 + 3*d*u**2 + 20137*d*u - 2*d - u + 222 wrt d.\nAnswer: 165760322*u**2 - 4*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -71*d*x**2 + 1262*x**2 + 2 wrt d?\nAnswer: -71*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 (base 12) in base 13?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 1878c?\nAnswer: 18787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-84)*150 - -23)*(-6)\/16. Find p such that -u*p**4 + 0 + 0*p**2 - 39\/4*p**3 + 0*p = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 3:46 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -311, -1775, -5749, -13487, -26243, -45271?\n\"Answer: -209*t**3 - t**2 + 2*t - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvqyqqykkykqqvq. Give prob of sequence vk.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k - 112 + 112)*(45*k + 27*k + 6*k) as d*k**2 + g + w*k and give d.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-1)*-1*(-20)\/80.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842122 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4803 a factor of 2059329956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -452*i - 7704. Calculate c(-16).\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (4 + -4 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 7:32 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2027*h**3*i**2 + 550*h**3 wrt i?\nAnswer: 4054*h**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15254, -30578, -46024, -61634, -77450, -93514, -109868, -126554?\nAnswer: -143614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 6*w - 4. Let f be z(-4). Let m be (-112)\/(-18) + 10\/(-45). Solve -f*k - 22 = -m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 2*f - 1. Let h be j(1). Let x be 6\/(-12) - 5\/h. Let o be ((-1)\/x)\/(9\/324). Calculate the greatest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 36*q + 11. Let w be (-10)\/(-2) + (-12)\/(-4). Is g(w) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -109 + (-5 - 4) + 15 + 22.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86440424 by 3836.\nAnswer: 22534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 181045 and 205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15517*i**2 + 19*i - 725809.\nAnswer: -31034*i + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 14 in decreasing order.\nAnswer: 14, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**4 - 2190*d**3 - 21675*d**2 - 54000*d.\nAnswer: -3*d*(d + 5)**2*(d + 720)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/15 + (-4)\/(-6). Suppose -4 = -3*k - r, -k - z = 3*r - 0. Suppose 2*o + 0 + k = 0. Which is the nearest to o? (a) -4 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10673\/6218315505 + -7\/150219. Is f greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12, 238, -11 in descending order.\nAnswer: 238, 0.12, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:09 AM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 340 and 50.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-155)\/((-34875)\/(-1620))*30\/(-27).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132032201020 (base 4) to base 13.\nAnswer: 184583b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g**2 + 2*g**2 + g**2)*((-371 + 228 - 542)*(-2 + 3 + 2) - 4 + 2 + 1) as m*g + j*g**2 + x and give j.\nAnswer: -4112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 468 and 10.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 766 - 741. Solve -m + 0 = -5*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51841076 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 6:26 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101390 is divided by 838.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-2 + 1)\/(-1). Does 2 divide (f\/2)\/(4\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32171\/2 or -16085?\nAnswer: -16085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + d - 4*p + 478, 4*p - 16 = 0. Let f = -137 + d. Is 17 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-5115)*(-90)\/(-150)?\nAnswer: -1\/155","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -383, -378, -371, -362, -351, -338?\n\"Answer: z**2 + 2*z - 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i - 56. Let w be h(12). Let m(g) = -2*g + 35. Let c be m(w). Solve 0 = 5*j + c*p + 2*p + 5, -3*j - 4*p = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) 37\/21 (c) -0.25807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -464 by 2.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 3, 14 in decreasing order.\nAnswer: 14, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -28\/57?\nAnswer: -28\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1505 + -1009. Is 8 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-22 - 12) - (0 - 20)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 - 57 = -39*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-24)*12\/(-8). Let g = 1 - 0.99. Let n = 4.99 + g. Which is the second biggest value? (a) 2 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - o**2 + o. Let d(y) = 9*y**3 + y**2 + 14*y. Suppose 64 = 6*r + 10*r. Let w(s) = r*i(s) + 2*d(s). What is the third derivative of w(n) wrt n?\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 32*a**2 + 2537*a + 2539. What is z(-1)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/((-18)\/48))\/(2\/(-3)). Suppose -4*o - j = -29, 2*j = 6*o - l*o - 2. Suppose 825 = o*u + 3. List the prime factors of u.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 13. Calculate the remainder when c is divided by (46\/8)\/(2\/8).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131.955 - 129. Let w = r + 0.045. Which is the closest to -2\/5? (a) 0.3 (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p\/p**(-1)*p)*p)**(-3\/2)*(p*p*p*p**(-1)*p*p*p*p*p*p)\/p**(-5))**(-2\/35) assuming p is positive.\nAnswer: p**(-32\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 240056 = 5*l + 945707, -2*v - 3*l + 592909 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6820*z = -1714*z + 418692 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2\/(-12) - (-109)\/6 - 3 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 5. Suppose -5*a = -3*t + 2, 2*t = -3*t + a - 26. Let z be x(t). Does 4 divide ((-12)\/(-10))\/(z\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 85, 155, 217, 265, 293, 295?\n\"Answer: -q**3 + 2*q**2 + 71*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 430402.1 litres?\nAnswer: 430402100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*v - 29, -59*c + 31 = 5*v - 58*c. Let n(s) = 7*s**2 - 3*s - 5. Let p(r) = -20*r**2 + 9*r + 14. Let a(o) = 17*n(o) + 6*p(o). Give a(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 9. Let k = 53 - 49. Let q(o) = -2. Calculate k*x(t) + 18*q(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7077 is divided by 1410.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 300 and 186?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awjapwlbl. What is prob of picking 1 p and 2 w?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of 11*i**6\/60 - i**5\/60 + i**4\/6 - 2*i**3\/3 - 17*i**2. Let u be z(1). Solve j + 7 = 2*x, 3*j + u = 5*x + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 20*r - 16955. Let g = 5443 - r. Suppose 5*n - g = 4*m, -2*m + 5*m + 1233 = 3*n. What is n rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*s - 100, 0 = 21*m - 16*s + 575 - 822 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - j + 1. Let g(o) = -6*o**3 - 4*o**2. Calculate -g(t) + 2*m(t).\nAnswer: 6*t**3 + 2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**4 + 0*s**4 - 3*s**4 + (2 - 2 - 2*s**3)*(-1 + 1 + 2*s) - 3*s**4 - s**4 + 2*s**4 + (-6*s**3 + 0 + 0)*(-2*s + 0*s + 3*s) - 8*s**4 + 9*s**3 - 9*s**3.\nAnswer: -22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 30*c**2 - 14 - 28*c**2 - 3 + 11*c. Let k be a(-9). Let v be (k + (-12)\/3)*(-1)\/(-3). What is the highest common divisor of 35 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67 - 35290*d - 34 - 32.\nAnswer: -35290*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = x, 3*b - 2*x = -9 + 2. Let h = 170 - 292. Is 3\/((-6)\/h) - b a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - 2\/(-3)*3. Let j be -2 - g - 220\/(-4). Suppose 0 = -2*b + j + 12. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 10*f - 37. Let y be u(13). Differentiate -115*v - 103 + 19*v**y + 115*v with respect to v.\nAnswer: 38*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 557 is divided by 114.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75052702 to the nearest integer?\nAnswer: 8663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 950\/((-8265)\/87)*2\/(-80)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 230, 2302, 8068, 19376, 38074, 66010, 105032?\n\"Answer: 308*p**3 - p**2 - 81*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55*b*h**4 - 8*b*h**2 + 511*b*h - 3*b wrt h?\nAnswer: 660*b*h**2 - 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -p - 4*p. Let d = p - -43. What is the greatest common factor of d and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2063840 (base 11) to base 2\nAnswer: -1101110111101100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*y - 1 = 1, -j + 1 = y. Let i = j + 0. Solve g + i = -3 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.7417 to 2 decimal places.\nAnswer: 4.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 381 + -94. Let y = x + -232. What is the lowest common multiple of 6 and y?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7778.802 kilograms in grams?\nAnswer: 7778802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 130900305277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 31196.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -166*c - 69*c + 13*c to v*c + i and give v.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 i when four letters picked without replacement from {i: 5, d: 2, c: 2, q: 4}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -15. Let z be (-46)\/(-11) + x\/(-22). What is the first derivative of -2*q**z - 2*q**4 + 15 - 4*q**4 + q**4 wrt q?\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -5. Solve -k*q + 6 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -4*i - 1. Let o(z) = -2*z - 2. Let u(t) = t + 7. Let q(g) = -8*o(g) - 3*u(g). What is the remainder when q(i) is divided by 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from cjccccccjjcicbc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -83, -326, -793, -1532, -2591, -4018?\n\"Answer: -8*h**3 - 64*h**2 + 5*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1550 = -13*l + 11*l - 2*x, 5*x - 3895 = 5*l. Which is greater: -782 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1069035 and 13794.\nAnswer: 2138070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16550 (b) -0.3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 22 (c) 3 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (8 - 7 - (-6 - -2 - -7) - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 170.45012426 + -170.45. What is p rounded to 6 decimal places?\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26012.6 - -26013. Which is the nearest to 0? (a) o (b) 0.1 (c) 0.81 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - z + 7*z - 3*z - 12. Suppose 2*b + 1 = -f, 21*b = 25*b - 8. Let r(x) = -2*x + 4. What is f*y(u) - 14*r(u)?\nAnswer: -2*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84053*d**6 + 40*d**4 - 2*d**3 - 51*d**2 + 308*d + 51.\nAnswer: -10086360*d**3 + 960*d - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274698, -274691, -274690, -274695, -274706?\nAnswer: -274723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 305377 to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-36)*28\/(280\/30)*14?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 13*z**2 - 36*z + 7. Determine m(8).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*h - 122*h + 5*h - 138*h + 1 to the form z + d*h and give d.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 18*u = -1860. Let r = u - 335. Calculate the remainder when r is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*u + 568*u = -4*a + 12, -21 = 7*u - a for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 179*s. Let f(t) be the first derivative of -t**2 + 103. Give g(f(q)).\nAnswer: -358*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -269.4029 to one decimal place.\nAnswer: -269.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8634840 and 4749162.\nAnswer: 94983240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 950759683 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 7) to base 12.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 227 - 2041\/9. Which is smaller: 1\/8 or x?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-592)\/(-152) + (-8)\/1482*9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 20 - 12 + 5*x - 9 - 1 - 4*x. Let b be (-73)\/(-4) + (-2)\/8. Suppose 2*h + h = -b. Calculate d(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilometer in meters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/2154 and 155\/1188.\nAnswer: 426492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -129802, -129803, -129804?\n\"Answer: -w - 129801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14*u**2 + 843*u - 6470. Determine a(10).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*f**3 + 4*f - 3*f - f.\nAnswer: -88*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5 - 1\/5*j**3 + 3\/5*j + 0*j**2.\nAnswer: -(j - 1)**2*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/7, 0.048, 1\/27, 8\/3, -3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(847)*-2 + (sqrt(847) + 2 + 5)**2 + sqrt(847) + (sqrt(847)*2 + 3 - sqrt(847)) + (2 + sqrt(847)*-2)**2)*1.\nAnswer: 176*sqrt(7) + 4291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 9:22 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 211.83135ms in minutes?\nAnswer: 0.0035305225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*x - 6*x**2 - 51*x + 32*x + (x - 1 + 1)*(-2 + 2 - 2*x).\nAnswer: -8*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795*l**2 + 812*l**2 + 54 - 54.\nAnswer: 17*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -89079 to the nearest 1000.\nAnswer: -89000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8044, 16082, 24118, 32152, 40184?\n\"Answer: -i**2 + 8041*i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3666 + -3?\nAnswer: 3663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9277349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 833 + 66*f**2 - 29*f**2 + 799 - 35*f**2 to o + j*f**2 + c*f and give o.\nAnswer: 1632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**7\/168 + t**6\/48 + t**5\/16 + 7*t**2. Determine r, given that s(r) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1)*f*f)**6*(f*f**(-3)*f)\/f**(-6)*f**(-6)\/(f\/f**(-2\/15))*f**(-4)*f**(-1\/8) assuming f is positive.\nAnswer: f**(689\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3117807?\nAnswer: 3, 7, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyfyyyyyffy. Give prob of picking 1 y and 1 f.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6210875\/17, 4 in descending order.\nAnswer: 6210875\/17, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**2 - i**3 - 3*i**2 - 9 - 3*i + 3*i**2 + 2*i**3. Let h be b(-5). Let g = h - -61. Solve -2 = -3*j - g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.468 + -17.468. Which is the closest to -1? (a) 81 (b) -8\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3*(5 + (1*(-2 + 1*sqrt(475) - sqrt(475)))**2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:39 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 140*l**2 + 17*l. Let p(j) = 18*j**2 + 3*j. Let w(u) = 3*d(u) - 17*p(u). Let s(h) = -2*h + 16. What is w(s(r))?\nAnswer: 456*r**2 - 7296*r + 29184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 4*f**2 + 2*f - 1. Suppose t = p - 7, 0*p + 4*t = -4*p - 4. Give i(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 3*u + 37 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3213646 + 1.3236. Round i to four decimal places.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 11*i**2 - 29*i - 2. Let q be b(-4). Let p = 3 + -2. Let v = p + -1. Solve v*f = -q*f - 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 12*m + 54. What is the smallest common multiple of t(-6) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 1 u when three letters picked without replacement from uunsuabussbssuubsa?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 + 210. Let j(a) = 3 - o*a + 71*a - 81*a - 67*a. Let g be j(-1). Calculate the greatest common factor of g and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21)\/(-14)*(-462)\/(-9). Let k = x + -21. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 80 + -85. Let q = 0.99 + -1. Let y = q - -2.01. Which is the second smallest value? (a) r (b) 4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4806592 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -14. Suppose -o*n = -2*n. Suppose -6*i + 10*i = n. Which is bigger: i or 1\/39?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1100)*1)**2 - ((sqrt(33)\/sqrt(3))**2 + -2)) + sqrt(44)*2*1)*-2.\nAnswer: -2182 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 + 21\/(-18) - 9. Let z = 0.01 - 2.01. Let i = z - -6. What is the smallest value in 0.2, u, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 17*t**3 + t. What is the remainder when 88 is divided by n(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1592304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -201765 and -2201?\nAnswer: 199564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 7. Let a be (187\/187)\/(2\/(-8)*-2). Put a, 1\/5, s in increasing order.\nAnswer: s, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*d = 46, -4*k = -5*k - 3*d + 51. Let j be (-8)\/k - (-1648)\/(-36). Let s = -22 - j. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18942)\/252)\/11)\/((-5)\/30).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p - 1. Let d be h(-4). Let v = -1.63 - -1.7. Let f = -4.07 + v. Which is the closest to 0? (a) d (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4631405 by -10.\nAnswer: -926281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132332130 (base 4) to base 11.\nAnswer: -87362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226 = -10*w - 3*i, -3*w - 4*i + 14*i = 2*w + 6*i + 102 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73473 + 27?\nAnswer: 73522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20840 rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7680 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(900))\/(-3*sqrt(36)\/sqrt(3)).\nAnswer: -20*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3320 + -3329 - (-1 - (25 - 0))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/2)*q\/(q**(-3\/8)\/q*q))**(-26))**(-45) assuming q is positive.\nAnswer: q**(13455\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2688 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 265*a - 13 + 265*a + 13.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64 - -352. List the prime factors of k.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 11) to base 12.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeeh when four letters picked without replacement from iieiiehieheirriireih?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 235*g**2 - g + 2. Let y be n(1). Let f = -411 - -411. Suppose f = -m - 3*i + 248, 3*i = 2*m - m - y. Is m a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1220 + 0?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3 (b) -356\/17 (c) -5 (d) 0 (e) 4 (f) -273\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3634 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/49705?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**5\/15 - v**4\/24 + v**3\/3 - v**2. Let j = 37 + -39. Let w(n) = -3*n**2 - 1. Give j*p(u) - 3*w(u).\nAnswer: u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(7\/4)\/(k\/k**(2\/15)))**(12\/5) assuming k is positive.\nAnswer: k**(53\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -995392 + -21?\nAnswer: -9953b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 + -54. Calculate the greatest common factor of r and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:58 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -304 - 272. Calculate the highest common factor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Suppose 3*k - 4 = 2, c*z + k - 173 = 0. Calculate the remainder when z is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -p - 59 - 65 + 139, -25 = -p + t for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -11*b**2. Let i(l) be the third derivative of 0*l + l**2 + 1\/30*l**5 + 0*l**4 + 0*l**3 + 0. Determine c(i(z)).\nAnswer: -44*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 197633759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 313897021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d + 1. Let z be n(1). Suppose z = 2*r - 4. Suppose 0 = -r*w + 2*w + 4*y + 12, -12 = -3*w + 2*y. Solve -3*p - 22 = 5*i, -w*p + i - 16 + 2 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5244 divided by 138?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/4, 0.13, 0.051 in decreasing order.\nAnswer: 4, 0.13, 0.051, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-3))\/(-3*(-2)\/27). Solve -3*r = 5*w - 10, -l*r + 6 = w + 2*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*g**3 + 3776*g**2 + 32344*g wrt g.\nAnswer: 36*g + 7552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7915, 7393, 6871, 6349, 5827?\nAnswer: 5305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + 1. Let b(m) = -2 + 3 - 4*m + 12*m**2 - 3*m**2 - z*m**2. Calculate b(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/6, -1\/3, 0.4, 3\/7, 0.01 in descending order.\nAnswer: 17\/6, 3\/7, 0.4, 0.01, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/4)*p*p\/p**7)\/((p*((p*p**(-1\/5))\/p)\/p)\/p**(-1\/3)) assuming p is positive.\nAnswer: p**(-263\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t**2 - 2*t - 3. Let r be v(-3). Let n be -1 + 9 + 2 + -1. Let c be n*(2 + (-4)\/3). Calculate the highest common factor of c and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31212705.639 - 0.4.\nAnswer: -31212706.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0819 + -0.9181. Which is the nearest to z? (a) -0.2 (b) -9 (c) -5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-10)*(-3 + 8). Suppose -l = k + d, 0 = -4*k - 5*l - 2 - 5. Suppose -444 = k*w - 8*w. Does 37 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205351 is divided by 2139.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-12)\/(-594)*8569\/82.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*l + 12*l + 284 = 0. What is the tens digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 - 7*c - 10. Let k(d) = -d**2 + 7*d + 11. Determine 4*i(p) + 3*k(p).\nAnswer: p**2 - 7*p - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*k = 12, -4*d + 1 + 6 = -5*k. Suppose 34*u - 37*u + 1809 = 0. Suppose -z = d*z - u. What are the prime factors of z?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2695552991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/785 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 144 = m, 501 = 4*m + z - 92. Let a = m - 145. Solve 3*d = 4*h + 27, -3*d - 4 = a*h - 2*d for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/85)\/(96\/(-60)). Let f = z + 4\/17. Let l = 64 + -66. Which is the smallest value? (a) l (b) 3\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-198)\/44*(-16)\/36. Suppose 2*w - 510 = m*t, -4*w - 2*t - 1272 = -9*w. What is the remainder when w is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5981.739ns?\nAnswer: 0.00000009969565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1444, 2885, 4334, 5809, 7328, 8909, 10570?\nAnswer: 12329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 4. Let q(j) = -25*j + 20 + 15 + 20 - 2*j - 64. 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 highest common factor of 459 and 3018573?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(20)\/(sqrt(2) - sqrt(2)*-1) - sqrt(10)))\/((sqrt(245) - sqrt(245)*4)*6))**2.\nAnswer: 1\/3528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 4*r**2 - 26*r + 25*r)*(-4*r + 15*r + 0*r).\nAnswer: -11*r**3 - 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5\/15 + 22*u**4\/15 = 0. What is u?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpaa when four letters picked without replacement from ipipazpiixiimpapiiii.\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.717 + -1.283. Sort s, 0, -3, 1, 0.2 in decreasing order.\nAnswer: 1, 0.2, 0, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s - 6. Suppose 155*p + 484 = 1062 + 2367. Determine b(p).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (0 + 0)\/5. Let w(t) = 3*t**2 + 4. Let b be w(q). Let m = -12 - -44. Calculate the greatest common divisor of m and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -1\/105*g**6 + 1\/7*g**2 + 0 + 10*g + 0*g**4 + 2\/21*g**3 - 1\/35*g**5. Factor f(q).\nAnswer: -2*(q - 1)*(q + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15839 and 231193?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14*(-2)\/8)\/((-70)\/28)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/29 and -244 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -12. Let b = 32 - x. Suppose -3*g = -b*g + 4, -2*g = -4*q - 44. Is -11 >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -540, -539, -538, -537?\nAnswer: -536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-7\/2)*z)\/z)\/z**27*(z**(8\/11)*z)**(2\/11) assuming z is positive.\nAnswer: z**(-7305\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 21*a + 4. Suppose 5*l - m - 12 = -0*m, 0 = -5*l + 5*m. Is i(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 6, w: 1, s: 1, o: 4, p: 3, x: 1}. Give prob of picking 2 j.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19675774?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**2\/2 - 5*z - 70. What is b(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/89?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -v + 13. Sort 2, -3, 5, v in decreasing order.\nAnswer: 5, 2, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742010 - 813*v**2 + 469*v**2 + 742010 - 644*v**2.\nAnswer: -988*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 256.7 * -3.\nAnswer: -770.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/((sqrt(72)*-4)\/sqrt(6)).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**18*x*x*x*x**6*x)\/(x**(-6\/5))**(14\/9) assuming x is positive.\nAnswer: x**(448\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 3*q + 28*q + 0 + 4.\nAnswer: 25*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.166 + -0.2017.\nAnswer: -0.0357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1056)\/(-99) - -2*(-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -429 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.9008 rounded to 1 decimal place?\nAnswer: -39.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 349 is divided by 125\/10*-3*(-28)\/6 - 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 810 = -91. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1255\/3012)\/(10\/8). What is the second biggest value in 2\/13, -0.214, z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*p - 270, 0 = 5*n - 11*p + 7*p - 745. Solve -50*f = -79*f + n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 82\/5157?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 3:29 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -1 (c) 197.47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7430.4ug to nanograms.\nAnswer: 7430400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 243, 298, 361?\nAnswer: 432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**3 + 5*h**2 - 3*h. Let s(v) = 15*v**3 - 20*v**2 + 11*v. Let p(t) = -22*j(t) - 6*s(t). What is the third derivative of p(k) wrt k?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*d**4 - 13*c**3 - 491*c**2 - 4*c*d - 270*d**4 wrt d?\nAnswer: -8*c**3*d**3 - 4*c - 1080*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 681026547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y + 41. Let h be p(9). Solve 0 = -5*m + h - 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 101 - 86?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 2\/35, -0.08, 0, -1\/1847?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2))**(-11\/3)\/(l**(1\/2)*l*(((((l**(-9)\/l)\/l)\/l)\/l*l)\/l)\/l) assuming l is positive.\nAnswer: l**(119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*i - 1240 = -220 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/93333 and 79\/8805?\nAnswer: 466665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuvxveen. Give prob of picking 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.312477501 - -4.\nAnswer: 3.687522499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/13)\/(519\/(-346))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14668829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0.04 (c) -3 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 PM and 1:00 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 25 = -5. Suppose -k*v = -4 + 34. Let q(p) = -p. Determine q(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*z - 3. Suppose -30 = -l - 4*l. List the prime factors of (-25)\/z + (-1)\/l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**4\/24 - c**3\/6 + c**2. Let a(s) = -2. Calculate -2*a(h) + 2*i(h).\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*z + 10 + 4 = 0, p + 13 = -3*z. Factor -x + 0*x + x - 1 - x**p + 2*x.\nAnswer: -(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -20*q**2 + 30*q + 15. Let g(j) = 9*j**2 - 13*j - 8. Let b(a) = 5*g(a) + 2*k(a). Let f be b(-5). What is the greatest common factor of 175 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98037900 rounded to the nearest one million?\nAnswer: -98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3169, 3254, 3389, 3574?\n\"Answer: 25*k**2 + 10*k + 3134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 14, y: 5}. Give prob of sequence yyz.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3706 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-1)\/28*14))\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 35 + 7*x**2 + 16 - 6*x**2 to the form i*x + s + l*x**2 and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4552 = p, -22*p + 24*p - 9069 = -5*b. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*z + 37*z - 20. Suppose -15 - 8 = -z*n + 2*b, 0 = 3*n + 4*b - 19. Solve 5*h - 35 = 5*p, n*p - 4*h = -32 + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - (498\/(-528) - -1) and -29\/24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) -4 (c) -0.1372\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x - 34 = c, -4*x + c - 50 = 0. What is the common denominator of x\/(-18) + -55*5\/48 and -17\/28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(-5*s + 7*s + 8*s)*(11*s**2 - 2*s**3 - 11*s**2) in the form l*s**3 + d*s**4 + y*s + h*s**2 + c and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 218, 11, 2600 in ascending order.\nAnswer: 11, 218, 2600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-14)*4\/14\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 6*l**2 - l + 5. Suppose x + 17 = 3. Let d = x - -19. Suppose d*y - 35 = -5. Give z(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-60))\/(5*7\/(-210)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.1512\nAnswer: 0.4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + (-7 + -5 - (8 - 15)). Let c = 7 - 5. Put 4, u, c in decreasing order.\nAnswer: 4, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/12 - 887*v**3\/6 - 1580*v. Let g(c) = -c. Calculate g(y(j)).\nAnswer: -j**2 + 887*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3726940879?\nAnswer: 229, 1423, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a + 9*a + 12*a - 10*a + a.\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**3 + 15*f**2 + 8. Let y be m(-5). Calculate the greatest common factor of y and 3392.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.749301 millennia to months.\nAnswer: 32991.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (10 + 1 - (-4 + 5 + 30 + -9))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5.7, -0.2 in decreasing order.\nAnswer: 0.1, -0.2, -5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -127283624, -127283625, -127283626, -127283627, -127283628?\nAnswer: -127283629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3*-1)\/(10\/(-3))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 1\/7 (b) 0.7 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79263 is divided by 198?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -3\/106, 2, 0, -13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 13 - 42 + 8 + 6 + t + 15. Let k(j) be the second derivative of 13*j**7\/2520 + j**4\/12 - j. Let x(p) be the third derivative of k(p). Give s(x(c)).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10709 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6. Let g(k) = k. Let d(b) = 4*b. Let o(z) = s*d(z) + 9*g(z). Let w(y) = 14*y + 13 + 7 + 10*y - 20. Calculate w(o(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 5 + 10. Suppose 0 - d = -c. What is the second derivative of 63*a**3 - a**2 + 7*a + a**2 - 67*a**c wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4180 - -9316. Let i = k + -41003\/8. What is the common denominator of -73\/14 and i?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1294 and -51\/4.\nAnswer: 2588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 19*p**3 + 7*p**2 - 4. Let y(d) = 6*d**3 + 2*d**2 - 1. Determine -4*i(f) + 14*y(f).\nAnswer: 8*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 851.7597um to meters.\nAnswer: 0.0008517597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - p + 32 = -8, -4*h - p + 32 = 0. Calculate the least common multiple of (-2)\/(4\/(-38)) - 1 and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.8 + -15. Which is the second smallest value? (a) 0.04 (b) d (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3961398645.\nAnswer: 3, 5, 1069, 82349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 29 + 4 + -1*2. Let d = f + -31. Suppose d = -3*w + 2*w - 5*m + 75, 3*w - 273 = m. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-3)\/(-12) - -3. Let t(h) = -w - h**3 - 201327*h**2 + 0 + h + 201333*h**2. What is t(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 5310*n - 589408. What is f(111)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:18 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 22 (b) -2\/9 (c) 11 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 2*l - 5*l. Let u(h) = 69215*h - 7 - 69210*h + 4 - 3. Let a(w) = 5*w - 7. Give l*u(q) - 6*a(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 241730910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 4. Suppose w*k = 5*a - 15, 0*a - 3 = -2*k - a. Suppose -b + 2 = -k*b. Solve b*i = -2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -33*o**2 - 34*o**2 - 28*o**2 + 97*o**2. Let u(c) = 119*c**2 + c. Calculate d(u(k)).\nAnswer: 28322*k**4 + 476*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 2*g**2 + 2*g - 1. Let j be q(2). Find the third derivative of -3*c**j + 14*c**2 + c**3 + c**3 - 20*c**2 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h - 21. Let u be (-13 + 1192\/88)*11\/1. Calculate x(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 7*o - 3*j = -317, -3*j = -3*o + 222. Calculate the greatest common factor of 220 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5250103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -56\/165 and 54\/19015.\nAnswer: 627495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225842, -225716, -225504, -225206, -224822, -224352, -223796?\nAnswer: -223154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*p - 4. Suppose x + 2 = p*x. Suppose x*u - 5 = 3*u + g, 0 = -4*u + 4*g + 20. What is the nearest to 2\/5 in 0.1, -2, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, b: 2, h: 4, c: 3, i: 2}. Give prob of picking 1 i, 1 b, and 1 c.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 c when three letters picked without replacement from {x: 7, c: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3662.5 times 433?\nAnswer: -1585862.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v*v**(-8)*v)*v)**(-2\/23)*(v*v\/(v*v*(v\/((v*v**5)\/v*v))\/v)*v)**(1\/31) assuming v is positive.\nAnswer: v**(-397\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -54579 less than -3329235\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 197918175 divided by 6825?\nAnswer: 28999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*i + 24 = t, t - 2*i + 12 = 0. Let q be -4 + (2 + -7 - t). Suppose 2*w - 3 = 3. Solve 4*v + w*k + 10 = -2*k, q*k + 6 = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (40 + 0)*(-5 + (-9)\/(-6)). Let n = 137 + w. What is the closest to -0.2 in 1\/5, 0.09, n?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 758?\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*c**2*r**2 - 13*c**2*r + 845*c**2*v + 3*c*r**2*v - 316*r**2*v - 10*r**2 - 6*r*v wrt r?\nAnswer: -10*c**2 + 6*c*v - 632*v - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 1961, 4419, 7861, 12287, 17697?\nAnswer: 24091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -36*y**2 - 4*y + 3. Let u(k) = -3*k**2. Let w(t) = -r(t) - u(t). Give w(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 28*t + 45*t + 68 = 0. Let k = 6.04 + -0.04. Let j be 2*-2*(0 + (-4)\/24). What is the closest to t in -1, j, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-189)\/(-27)))\/(((-5)\/6)\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 + 8*g**2 - 239*g - 1. What is the thousands digit of z(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11243, -11246, -11249, -11252, -11255?\nAnswer: -11258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(118 - 4*z - 240 + 111).\nAnswer: 4*z + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 + 34*a + 3 - 57 - 47*a.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -494.97015 + 495. What is k rounded to 3 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101202221102011 (base 3) to base 16.\nAnswer: -576184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = h - 17, 0*h - h + 3 = 3*x. Let g(p) = -p**2 + 11*p - 13. Let y be g(h). Solve -y*o - 26 = 3*k - 0*o, 5*k + 2*o = -18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/5)\/3 - 9531\/(-3530). Sort -2\/5, -1\/2, -51\/2, 1, o in descending order.\nAnswer: o, 1, -2\/5, -1\/2, -51\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 0 - (-2 + -2). Suppose -4*h + h - 18 = 3*k, -2*h - z*k = 16. Which is the third biggest value? (a) 0.2 (b) h (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 767 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: Let g(p) = -21*p - 2. Give g(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 41*h**2 - 38*h**2 + 90*h**2 - 11*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 42 in increasing order.\nAnswer: -4, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**4\/4 + 7*x**3\/3 - x - 1. Suppose 5*k - 2*f = -27, k + 15 = -0*f - 2*f. Let u be v(k). Which is greater: u or -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1312 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-14))\/((-3)\/24). Which is greater: 0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - -11. Let r = m - 77. Let k be (-26)\/(-30) + 6\/r. Put -1, 2\/19, k in descending order.\nAnswer: k, 2\/19, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/628 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-29)*v*(v\/v**(-39))\/v assuming v is positive.\nAnswer: v**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20100 - -15?\nAnswer: 20115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/8, 188, -4, 92?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -17*u**8\/336 - 19*u**5\/60 - 15*u**2. What is the third derivative of p(x) wrt x?\nAnswer: -1020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 4*u. Suppose s + 0*s + 25 = 3*r, 5*r = -s + 31. Let z = -140 - -137. Let i(g) = 9*g. Calculate r*f(t) + z*i(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.01, -0.9, -1\/4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -340797?\nAnswer: 340795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3323560367 to the nearest integer?\nAnswer: 57650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67 + -82. What is the remainder when ((-10)\/z - 1)\/((-1)\/237) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/(-6)*(-999)\/18.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*-2 + 0)\/(62\/93).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Suppose 0*h = s + k*h + 20, 5*h + 5 = -4*s. Let x = -71 - -139\/2. Sort -2\/5, x, s in descending order.\nAnswer: s, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -840343\/10 - -83859. Let m = q + 173. What is the common denominator of -35\/242 and m?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*t = -78, -5*a = 8*t - 3*t + 80. Let x = a + 41. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -19. Let v = k - -14. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 + -46. Let g be a\/(-3) - (3 - 6). Let k = -64\/85 - -6\/17. What is the third smallest value in k, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140013041 (base 5) to base 15\nAnswer: -dd981","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 30.4 and -2956.4862.\nAnswer: -2926.0862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**4\/12 + 2*p**3\/3 - 7*p**2\/2 + 4*p. Let u = -251 + 256. Determine x(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 58\/24463 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/(-4))\/((-1)\/4). Let p(t) = -12*t**2 + 3*t - 1. Let v(f) = -7*f**2 + 2*f. Let d(q) = 4*p(q) - 7*v(q). List the prime factors of d(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 11:21 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.02 and 0.01226886 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32529\/2 + -16265. Let b be 10\/12*(-3)\/(-10). What is the nearest to d in 0.3, -1\/3, b, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 12, m: 1}. Give prob of sequence my.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -43074?\nAnswer: -43079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**2 - 2702475*t - 16215030 = 0.\nAnswer: -6, 540501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, -1\/3, -2\/5, -32?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26419 = -113*a + 21*a - 2867. Solve -a = 21*h + 11*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23)\/(1150\/(-20))*-1\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1798828413?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) 640 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1620?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 t when four letters picked without replacement from {o: 8, t: 8, c: 4}?\nAnswer: 32\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9965, 8229, 5337, 1289, -3915, -10275, -17791?\n\"Answer: -578*m**2 - 2*m + 10545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 81) + (-368000)\/(-5250) - (-4)\/7?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 107?\nAnswer: 8.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7}. Give prob of picking 4 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -10*r - 138. Let h be r\/30 + (-34615)\/15. Round h to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/3*1)\/((-329)\/141)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9528 and 68284.\nAnswer: 409704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5*d - 1)*(-d + 4*d - 4*d)*(3 + 1 - 5).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -r - 11, 4*f = 3*r - 8 + 25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -37*h - 106*h - 75*h. Let z be 3\/2 - 3\/(-6). Factor 0 + 0*r**z + h*r**3 + 0*r**4 + 0*r + 1\/4*r**5.\nAnswer: r**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1034747387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1\/14)*q))\/q**(-11) assuming q is positive.\nAnswer: q**(155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f\/(f\/f**(-3\/10))*f*f\/(f*f*f\/f**(-2\/7)*f))\/(f**(-2\/7))**(-12\/17)*(f**(-6)\/(f\/(f*f**(-3)*f)))**(6\/7) assuming f is positive.\nAnswer: f**(-9097\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -2*v**3\/3 + 11*v. Let j(n) = -13*n. Let c(d) = 3*d. Let z(h) = 15*c(h) + 3*j(h). What is m(z(s))?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = k - 7, -k = 3*y - 17. Let h be (33\/(-6))\/((-2)\/y). Suppose 2*f + 2*r - 4 = 0, -2*f + 4*r + 4 = -0*r. Solve -2*w - f*c + c = -7, h = w + 3*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.2 (b) 5 (c) -19.74 (d) 40.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/754 and -51\/3016.\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**2 + 2119*k - 66138 = 0.\nAnswer: -453, 146\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57 - -122. Let c = l + 165. Suppose -5*o + 770 = -c. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 4. Let c(p) = -22*p - 37. Let r be c(-2). Give a(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*n + 2*n**2 - 3*n + 4*n - n**2 as c*n**2 + f + i*n and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a centimeter in micrometers?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b + 17?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2*sqrt(110) + sqrt(110)) + sqrt(110) + -5*(-2*sqrt(110) + sqrt(110) + sqrt(110) - sqrt(110)))\/(2*-2*sqrt(10)*-2).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 4) + 0 + (13 - 13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**3 + 69*c**2 - 33*c + 60. Let v be z(-35). Let i = -9.1 + 9.4. What is the closest to 1\/3 in -1\/2, i, v?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2034 + -2020. Solve -3*t = -3*q + 6, -5*t - 20 = 3*q + c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - 8612?\nAnswer: -85c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/19, -1\/7, 4, 612\/13 in ascending order.\nAnswer: -2\/7, -1\/7, -2\/19, 4, 612\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2781191229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -82*r + 103*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*u - 8*u + 3832 + 2000 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/(-72) + (-6)\/8?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528544.\nAnswer: 2, 83, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 15. Let q be y(3). Suppose -4*o - q = -s, -2*s + 6*s + 5*o = 24. Solve 2 - s = 4*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*p + 13*p**2 - 4*p**2 - 11*p in the form z*p**2 + h*p + f and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 68251932, 136503865, 204755798, 273007731?\n\"Answer: 68251933*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 3:43 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -84, -161, -274, -429?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228311, 227770, 227229?\nAnswer: 226688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sf when two letters picked without replacement from fas.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 532840 and 5355?\nAnswer: 81524520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/16)\/u)\/(((u**(1\/4)*u)\/u)\/u) assuming u is positive.\nAnswer: u**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6616983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**0)\/k*k))**(-36)\/((k\/(k\/(k*(k*k\/(k*k\/((k\/(k*k**(-6)*k))\/k))*k*k*k)\/k)))\/k)**(4\/5) assuming k is positive.\nAnswer: k**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 276 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2813 or -2762?\nAnswer: -2762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z + 30*z = 0. Suppose 0 = -z*y - y. Suppose -4*m + 1 + 3 = -c, -c + 4 = y. Solve -4*x = -2*n + 12, 5*n + m = 2*n - 4*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 5*b - 6. Let h be (-2)\/(0 - -2)*-18. Let i = -10 + h. What are the prime factors of u(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 - b + 24. Let c be y(0). Solve -9 + c = 5*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 307\/2247 - -2\/321. Suppose -5*o + 134 = f + f, 15 = -5*f. Let r = -57\/2 + o. What is the biggest value in -3\/5, r, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -313 + -2?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + (2 - -1) - (-38 - 67).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 291231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 10*t. Let v(y) = 7751395*y. Calculate r(v(c)).\nAnswer: 77513950*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(315)\/sqrt(5) + (sqrt(7) + -6*sqrt(7)*3)**2.\nAnswer: 3*sqrt(7) + 2023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -14, -25, -38, -53, -70?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 475*i + 5534. Determine x(-12).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 110824347?\nAnswer: -110824347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 9*d + 3. Let r be q(-9). Let x be r\/(-4) + 1\/2. Which is the closest to 1? (a) x (b) 2\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5\/7 - 608*j**4\/7 + 8178*j**3\/7 - 20248*j**2\/7 + 12680*j\/7 = 0. What is j?\nAnswer: -317, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f - 9 - f - 105 as s*f + c and give c.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.413404 to 4 dps.\nAnswer: 0.4134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2956*o**6*y - 3*o**3*y + o**3 + 4401*o**2*y + 36*y wrt o?\nAnswer: 354720*o**3*y - 18*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.02 - 148.98. Let x = s - -37. Let n = 114.999937 + x. What is n rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**3 - 1560*o**2 + 22580*o - 78240 = 0.\nAnswer: -326, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/99 and 28\/23.\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 31*k**2 - 30*k - 10. Let f be h(-30). What is the hundreds digit of 708 + 6*f\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10757*h**3 + 42 + 10757*h**3 + 13*h**4 - 2*h wrt h.\nAnswer: 52*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 + 31*c + 357. Give o(-10).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = y + 18, 2*q = 6*q + 2*y + 24. Let n(o) = o**3 + 8*o**2 + 3*o - 5. Let v be n(q). Suppose 0 = 5*d - v - 31. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1335\/(-15) + (-5 - -3). Let z = d + 101. Solve -5*h + 5 = -s - 2, 4*s - z = h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -176, -708, -1600, -2852, -4464?\n\"Answer: -180*v**2 + 8*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjt when three letters picked without replacement from tfzfjftzppppzkpkttfk?\nAnswer: 2\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 7*h**2 + 6*h - 2. Let c be d(6). Suppose 0 = -4*a + 5*g - 5, -17 = 5*a - a - g. What is the smallest value in c, a, -0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 1. Let u(s) = 4*s**3 - 6*s**2 - 4*s - 9. Let b = -6 + 11. Let l(f) = b*d(f) - u(f). Does 12 divide l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832*c + 182 + 832*c + 2*c**3 - 182.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*o + 144, -3*o + 4*i + 82 = 9. Let d = o + -19. Let a be d\/(-18) + (-8)\/(-3). Solve 0 = -a*v - 2 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 4 + 9 + -11?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 5. Let t(o) = o**2 + 14*o - 18. Let a be t(-15). Let p be j(a). Suppose 0 = -2*v - 4*x + 1046, -1539 = -3*v - 0*v + p*x. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)*-3 + -1. Suppose 3*b - 7*b + 8 = 0. Determine t, given that b*t**3 + 0*t**3 + d*t**4 + t**2 - t**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from jppjpjp.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -14*l - 298. Let x(u) = 20*u + 443. Give 7*a(q) + 5*x(q).\nAnswer: 2*q + 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 682650 and 67.76.\nAnswer: 682717.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2610739181?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22111101221110 (base 3) to base 15.\nAnswer: 5e2d59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, -21, -224, -599, -1176?\nAnswer: -1985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + o - 9 = 0, 5*p = o + 3*o + 3. Let b = -29 - -33. Suppose -b*d - 31 = -2*r - 3, -7 = -p*r - d. Which is smaller: r or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101100668 is divided by 1595?\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*c - 126 = 71*c. Factor -c*l**4 + 20*l**2 - 10*l**3 + 40*l + 0*l**4 - 2*l**4 + 6*l**4.\nAnswer: -5*l*(l - 2)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6327.825 millennia to years.\nAnswer: 6327825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 990 and 156090?\nAnswer: 468270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15231025 to the nearest integer?\nAnswer: 3903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16950 + 16978. What is the greatest common factor of 73808 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 12*o**2 + 12*o - 12. Let l be p(11). Which is smaller: l or 1\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h. Let g(d) be the second derivative of 5*d**4\/3 - 190*d. What is g(w(b))?\nAnswer: 720*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5\/6*c**2 - 215\/3 + 145\/2*c = 0?\nAnswer: 1, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2112200201 (base 3) to base 16\nAnswer: c39d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2*28\/(-32))\/((-693)\/(-3564))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 8*y**2 + 7*y + 3. Let b be a(7). Let d = 3 - b. Factor 0*v**3 + 4\/7*v - 2\/7*v**4 + 6\/7*v**2 + d.\nAnswer: -2*v*(v - 2)*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-94)\/(-705) + (-129)\/(-45). Find the third derivative of 3187*j**x - 1595*j**3 - 60*j**5 - 2*j**2 - 1592*j**3 + 273*j wrt j.\nAnswer: -3600*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -208, -400, -592, -784, -976?\nAnswer: -1168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 9. Let h be r*3*(-3)\/(-18). Suppose -3*t + 36 = -h. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide ((-3619)\/308)\/(1\/(-828))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-4 + -4)*3*-2 - (-1 + (3*sqrt(21)\/sqrt(7)*-2)**2).\nAnswer: -83 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + 3403 = 3655 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1703 - 2453. Round h to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 637, 649, 673, 715, 781, 877, 1009, 1183?\n\"Answer: z**3 + 5*z + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 - 15.7. Let w = 4.8 + -5. What is the nearest to w in 0.1, -5, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 660*v + 2016.\nAnswer: -4*(v - 3)*(v + 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -9.6801\nAnswer: -10.6801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - 5*f + 5*f)*(10*f**4 + 20*f**4 + 10*f**4).\nAnswer: 80*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -29483 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 29512?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3215, -6336, -9309, -12062, -14523, -16620, -18281?\nAnswer: -19434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 85116*g. Let o(i) = 36*i. Determine s(o(x)).\nAnswer: 3064176*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Suppose 2*y + 63 = 57. What is the smallest common multiple of c(y) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29243*y**3 - 108 + 53 + 55.\nAnswer: 29243*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = z - 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-5\/2)\/r**(-3\/2))\/(r**6\/((r\/r**(6\/11))\/r)) assuming r is positive.\nAnswer: r**(-83\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56033771 by -12307.\nAnswer: 4553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -562*u - 7096. Calculate z(-12).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzj when three letters picked without replacement from pjzzpjpzzpzzzzjzpv?\nAnswer: 15\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*q, q - 4 = 4*x - 2*q. What is the common denominator of 39 and ((-4)\/6)\/(x\/34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/((-2400)\/(-896)))\/(-4*5\/(-15))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-16*14\/(-560))\/(4\/60)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Suppose b = -i*b + 36. Calculate the remainder when 26 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -40 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 25200\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21161766 (base 8) to base 9.\nAnswer: -8441131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5386 = -2*v + 5392 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 6:54 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*w - 84 = 490*w + 17*s, 0 = 3*w - 3*s - 18 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4516704*d**2 + 4417801 with respect to d.\nAnswer: 9033408*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.1 (b) -2 (c) 12 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-15))\/((-24)\/(-1224)))\/((-33)\/(-165)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -124*u**2 + 53*u + 7. Let n(d) = 249*d**2 - 103*d - 12. Let l(s) = -3*n(s) - 5*p(s). What is the second derivative of l(h) wrt h?\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 82.458858.\nAnswer: -32.9835432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2364 - -12768.\nAnswer: 10404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -6. Sort i, 0.4, 8 in descending order.\nAnswer: 8, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) -15 (c) 81462\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 + -104 + (100 - 54).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -25.11. Let d = w - 0.11. Let h be (-2 - -7)*9\/(-18). What is the closest to -2\/7 in d, h, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - (1 + 1 + (-712)\/(-104) + -9). Let i = -11 + 3. Let n = i - -7.7. Which is the smallest value? (a) t (b) n (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 25*n. Let s be u(25). Let r = -3 + 8. Suppose -b = -r*b. Solve s*k - k = b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 761, 1522, 2283, 3044, 3805, 4566?\nAnswer: 5327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1149460 at least -1149433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2 + 1 - 6 + 421*k to s + n*k and give n.\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108702 and 9333?\nAnswer: 1847934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18227*s**2 + 18227*s**2 - 615*s**3 + 364*s**3 + 261*s**3.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(2*-1)*(-4)\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45268147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 4095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/7)*j*((j\/(j\/((j*j*j*(j\/j**(-3\/2))\/j)\/j))*j)\/j)\/j)\/(j\/(j**(-2\/5)*j)*j**(1\/4)\/j) assuming j is positive.\nAnswer: j**(499\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-663)\/17 + (1 - -18) - 29?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-16)))\/(h\/(h*h**(-3\/2)))*(h**(2\/15))**(1\/2) assuming h is positive.\nAnswer: h**(437\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2036139829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9870\/4606*(-28)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*w**5 - 63*w**3 - 37*w**4 + 365*w**3 - 295*w**4 - 56*w**4 - 96*w**2 + 218*w**3 = 0. Calculate w.\nAnswer: -12, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7872*h**2. Let r(f) = f. Calculate r(z(t)).\nAnswer: -7872*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 1. Let v(l) = 0*l - l + 1 + 0. Let i(d) = -d**3 + 3*d - 3. Calculate k*i(x) - 6*v(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3251.\nAnswer: 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*b = 34, 5*h + 2*b - 110 = -1. Let m = -9 + 11. Let w = -168 - -168. Solve -m*u + r + 6 = -w*r, -5*r = -3*u + h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574057580\/9 >= 63784175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 - (-10 - -12)) + 177*1 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -9\/2, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1635*q = -o - 1634*q + 3, -5*o + 47 = 3*q for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 939512?\nAnswer: 2, 7, 19, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1 - 1 - 8*r - 2*r**2 - 2. Let y(k) = 0*k + k**2 + 76 + k - 2*k**2 - 2*k - 77. Let w(b) = 3*h(b) - 24*y(b). Differentiate w(u) with respect to u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 256.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 896\/(-90) - (-1932 + 1922)\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5094253217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5168 a multiple of 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(((-369)\/492)\/((-6)\/(-4)))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 6, -5, -0.5, 0.2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 144905511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a**2 + 97*a + 10. Calculate the remainder when p(-7) is divided by ((-30)\/(-4) - -1) + (-9)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2712785099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-508)\/(-6)*8*-1875. What is v rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 1476345850*q + 108979853440611125.\nAnswer: 5*(q - 147634585)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35)\/(-2) + (-3)\/6. Let r = 9 - v. Calculate the smallest common multiple of 8 and (r\/12)\/(6\/(-27)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 14 = 9*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f**(-1\/4))*f\/f**(-3)*f**5*f*f*f**2\/f*(f\/(f**(-2\/5)*f))**38*((f**(-6)\/f)\/f)\/f*f\/(f\/f**(2\/7)) assuming f is positive.\nAnswer: f**(2623\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbgggggbggg. Give prob of picking 2 g.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*c - 6 + 40, 4*i - 44 = -2*c. Let h(p) be the second derivative of -p**4\/12 + 7*p**3\/3 - 11*p. Let n be h(c). Is n at most 4\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3 - 5. Suppose 0 = 2*t - 3*d - 38, 6*t + d - 48 = o*t. What is the third derivative of 2*i**2 - t + 13 + 2*i**5 wrt i?\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - ((4 - -5) + -5 + 2)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -2\/3*h**3 + 0 + 0*h**2 + 5*h. Let x(g) = -g. What is d(x(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 60*z + 683. Let m be n(-10). Solve -182*d - 5*b = -m*d + 1, -4*d - 21 = 5*b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2698 divide 726633454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65, -75, -1, 5 in decreasing order.\nAnswer: 5, -1, -65, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 58*t - 150. Determine p(11).\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**4\/12 + h**3\/3 - 2*h**2. Let z be f(-6). What are the prime factors of (3 + -1)*-1 + z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77624322961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41.79214ms to nanoseconds.\nAnswer: 41792140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**6\/320 + p**5\/40 + p**4\/16 - 29*p**2 - 15*p. Let m(b) be the first derivative of y(b). Factor m(g).\nAnswer: 3*g*(g + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 558652921 to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786569768?\nAnswer: 2, 8117, 12113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 + -7 + 2 - -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*d + 11*d - 9*d)*(-113 + 13*d**2 + 113) + d + d**3 - d.\nAnswer: -259*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1309411 - i + 1309411 + 3*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - n + 2*n = -6, 0 = -4*j - 5*n - 2. Suppose 4*v - 5*v + 2 = 0. Suppose -v*q - j*q = -40. Does 10 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 59045287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**6\/120 - 17*g**5\/60 + g**4\/6 + 19*g**3\/6 - 27*g**2. Is i(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -26, -21, -16, -11?\n\"Answer: 5*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 4. Let c = -16 + 11. Determine z(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2 (c) 197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4 - 31*h**3 - 45*h wrt h.\nAnswer: 12*h**2 - 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 45\/9 - 6\/2. Suppose -v - 4 = -c*v. Suppose 0*n + v*n = 628. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 153 + 155. What are the prime factors of o?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1 - 7*m + 13*m + 1 - 2. Let o(n) = -7*n + 3. Give -5*j(k) - 4*o(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 145154 (base 6) in base 16?\nAnswer: 371e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -543 (b) -88 (c) -15 (d) 1 (e) 6 (f) -5 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**5 + 379012*r**4 + 2*r**2 + 20054844*r wrt r.\nAnswer: -20*r**3 + 4548144*r**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.32? (a) -2\/23 (b) 1\/5 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 - (41 - 23)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - -3 - (1 - -79). Let h = -145 - v. Let r = h - -67. Solve -3*k + 2*m + 2 = 11, -3*k - m = r for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -56 - 32. Calculate the remainder when 20 is divided by (4 - 0)*g\/16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 228*h + 6. Let f(s) = 227*s + 3. Give -3*f(u) + 2*g(u).\nAnswer: -225*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 956 and -19.\nAnswer: -18164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.492341 milliseconds in minutes?\nAnswer: 0.00017487235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1702?\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2273*d**2 - 2592*d wrt d.\nAnswer: 4546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -647*v - 5937 = -21465 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6687780 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128278.\nAnswer: 2, 31, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -333260*-0.7.\nAnswer: 233282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 13*s**6\/6 - 13*s**3\/3 - 6. What is the third derivative of o(t) wrt t?\nAnswer: 780*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56\/13 or 3?\nAnswer: 56\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -120 - -125. Suppose d*g - 5*i + 20 = 0, 5*g + 5*i - 31 = -101. Let c be 1\/((-6)\/g) - (-310)\/20. Which is smaller: c or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 83. Suppose -8*j = 3*s - 181 + 127, 2*j - 5*s = -44. What is the highest common factor of j and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1666 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-2))\/((-5)\/170). Suppose 3*m = 5 - k. Let r be (74\/(-10) - (-52)\/13) + 3. Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*b - 20, -2*w + 16 = -4*b + 3*w. What is the nearest to -2\/5 in 2, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 4*f + 15 = 2*a, -4*f = 4*a + 24. Let r(h) = -357*h**2 - 5*h - 2. Let g be r(a). What is g rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + s. Let y be g(1). Suppose 4*z + 2*i = 6*i + 16, 5*z - 17 = y*i. Is 1\/(3*z\/27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80853 = -573*j - 756*j - 8190 for j.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h + 37. Let q be ((-25)\/2)\/((-7)\/(-14)). Let z = q - h. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*g**3 - 1840*g**2 + 8*g + 4596765?\nAnswer: -39*g**2 - 3680*g + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 459608540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + p = 33 - 5, 0 = 3*p - 6. Suppose 5*c + 1 - n = 0, 5*m - 265 = c. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 6*i - 3*i - 371*i**3 + 899*i**3.\nAnswer: 528*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*y - 2402 = -4*y, j = 4*y + 469. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*(sqrt(11) + 5 + sqrt(11) + sqrt(11)))**2.\nAnswer: 4320*sqrt(11) + 17856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 197, 140, 83, 26, -31?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/65 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4490 - 4486. Let h(b) be the first derivative of -6\/5*b**5 + 0*b**2 - 9 + 0*b**g + 41*b + 0*b**3. Differentiate h(t) wrt t.\nAnswer: -24*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3 + (1*(-3 + sqrt(931) + -2) - (3 + 3*sqrt(931) + sqrt(931) + sqrt(931) + -5))))**2.\nAnswer: 59584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5*r - 101 = 0, -s - s = 4*r - 92. Is 11 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*r + 228, 2*c - 75 = -4*r + 227. Solve -168*q = -157*q - r for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2266)\/(-2678))\/(33\/1287)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = 13*v - 153. Let m(p) = -p**2 - 20*p - 11. Let r be m(v). Let x = r - -57. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 72*w**2 + 83*w - 4. Let j be t(-25). Suppose 14*z = 10097 + j. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(3 + 17\/(-5)). Let b be 6\/9 + 20\/6. Differentiate z**b - x + 0 + 6 wrt z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**3 + 14*n**2 + 21*n. Let o be y(-2). Is -17\/27 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.215 and -1.589388544049.\nAnswer: -1.804388544049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 2*w + 47. Let m be c(0). Suppose 441 = m*p - 38*p. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/47? (a) 3.6 (b) 1\/7 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1700) - ((5*sqrt(1700))**2 + sqrt(17)).\nAnswer: -42500 - 31*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 13*v - 5. Let b be s(13). What is the common denominator of (-130)\/24 - (b - -9) and -21\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -166a34 + -4?\nAnswer: -166a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -75? (a) -0.1 (b) -0.04 (c) 59131\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 111\nAnswer: 8\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8039, 8090, 8137, 8144, 8075, 7894, 7565?\nAnswer: 7052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1670*k - 3509 - 32879 = 20369 + 41773 for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 11*s + 6. Let g be v(-6). Is (81\/g)\/(1\/8) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxupypupppopepy. What is prob of picking 1 o and 1 p?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 156 and (15 + -8)*(-18)\/(-21)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3528040 rounded to the nearest one thousand?\nAnswer: 3528000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-644619)\/3171 - -326 - ((-4)\/(-14))\/(-1).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 12, 110 = 3*j - 4*v. Suppose 0 = k - j + 2. Calculate the least common multiple of k and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(3\/4))**(2\/81))**(-40))**1)**(-3\/44) assuming g is positive.\nAnswer: g**(5\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 811 = -20. Suppose -4*b = s - 7*b - f, 0 = -2*s - 5*b + 182. List the prime factors of s.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2800) + 1 + (sqrt(2800) + 0 + sqrt(2800) - sqrt(2800)) - sqrt(2800) - sqrt(2800) - -4*(sqrt(2800) + sqrt(2800)*2))**2.\nAnswer: 480*sqrt(7) + 403201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -14, -823\/2, -2\/17, -0.5 in decreasing order.\nAnswer: 8, -2\/17, -0.5, -14, -823\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/14*(-266)\/570*-6*33\/(-462)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4872.0000019125 + 4872. What is j rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = d + 1. Let i = -1 - -3. Suppose -3*t = i*j + 3*j - 36, -d = -3*j. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 499879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5004, -5186, -5362, -5532?\nAnswer: -5696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 + -2.7. Let t = -0.9 + 1. Which is the nearest to -1? (a) t (b) q (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qf when two letters picked without replacement from qfimynnffyfnf?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)*-6)\/(sqrt(10)\/(sqrt(5) - (sqrt(5) - sqrt(45))))*-5.\nAnswer: 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 6 + 0 + 3 + b + 3*b**2 to the form q + k*b**2 + p*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2966558612.\nAnswer: 2, 53, 13993201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (1 + -7)) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*p - 103*p + 1794*p**2 - 3584*p**2 - 4 + 1791*p**2 as u + t*p + s*p**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 1 + 0 - 4*f. Let x be n(-1). Is 32\/12*102\/x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 46034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**4\/6 - k**3\/6 - 7*k**2 + 4. Let u(h) = -3*h. Give u(q(r)).\nAnswer: -12*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(5*sqrt(171)*-2 + 6*2*sqrt(171))*-5)**2*-6.\nAnswer: -410400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-86)\/2)\/((-5)\/5). Suppose -3 = 4*q - 5*q. Suppose 2*y + g = -c + 198, -q*g = 9. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w**2 + 3*w**2 + 4*w**2 - 2 + w**2 + 2 - w**2 + 0*w**2 + 0*w**2 + (-w - w + 3*w)*(5 + 2*w - 5) + 4*w**2 - 2*w**2 + 0*w**2 + 9*w**2 - 16*w**2 + 14*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*v - 288 = -10*v. Suppose -q - 10 = -6*q. Suppose -4*g + q*b = -15 - 19, -4*g - 5*b = 1. What is the highest common divisor of v and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*x + 1. Let p = 1 - x. What is the least common multiple of p and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*(2*sqrt(19) - sqrt(19)) - (sqrt(76) + 1)).\nAnswer: 2 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -2\/45*y**3 + 0*y + 1\/30*y**4 - 1\/15*y**2 + 5 + 2\/75*y**5. Let u(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-150)\/6*(-93083)\/(-1). Let b = f + 6127075. Round b to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23221 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.4 + 220.6. Let q = 228.78 - m. Let g = -0.22 - q. Sort g, 4, -0.3 in decreasing order.\nAnswer: 4, g, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1121, -2975, -4829, -6683, -8537, -10391?\nAnswer: -12245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1834191 is divided by 4715?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15.1? (a) 3\/2 (b) -1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -7. Let i = u - 8. Let y = -3 - -6. Sort 4, y, i.\nAnswer: i, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-14) + ((-220)\/28 - -6). Let i(o) = -11*o + 2. What is i(g)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**4 + 7*s**2 + 4. Let a(d) = 2*d**4 - 7*d**2 - 3. Let j(l) = 4*a(l) + 3*g(l). Find the third derivative of j(z) wrt z.\nAnswer: -24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 223?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 3. What is the third biggest value in 2\/11, b, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-119.\nAnswer: -47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.7. Let l = 0.4 + -0.9. Put l, 1\/3, o in decreasing order.\nAnswer: 1\/3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52104 and 95524?\nAnswer: 573144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -35. Let k = f - 7. Which is the smallest value? (a) k (b) 8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (1\/12)\/(2 - (-355)\/(-176))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w + 546. Let l(f) = 1 - 802*f**2 - 1 + 803*f**2. Give b(l(a)).\nAnswer: 3*a**2 + 546","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 14*o**2 + 16*o + 18. Let y be x(-15). Let v(j) = 2*j - 7. Let c be v(6). Solve 0 = d + q - 1, 5*d = -y*q - q + c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s - 16 = -m, 0 = 2*m - 5*s + 4. Let t(f) = -3 + f + 18 - 3*f + 4*f. Calculate the remainder when t(7) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -1. Let q = 10 - v. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 21 = -5*f, 4*f = x + 5 - 23. Suppose 4*s + 3*q - 122 = -s, -5*s = -4*q - 129. Calculate the remainder when s is divided by (4 + x)\/(4\/18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 1:35 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 4*g + 4*g)*((-g + g + g)*(-4 + 2 + 1) + 0*g - 2*g + g) + 17*g**2 - 3*g**2 + 3*g**2 to the form l*g + k + d*g**2 and give d.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 1020001212?\nAnswer: 1020001120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2200 + 1?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 590590551559 - 590590551559.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*o**2 + 15 - 15)*(5*o**2 - 2*o - 4*o**2 - o).\nAnswer: 63*o**4 - 189*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 = 2*n. Suppose -2*i - n*z = 2, i + 2*i = z - 7. What is the closest to 0 in -1, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1051480 and 1940?\nAnswer: 1051480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 156.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + ((-44)\/(-132))\/(2\/(-12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 6*l**5\/25 + l**4\/2 - 2*l**3\/3 - l**2 + 4*l\/5 - 214. What is h in b(h) = 0?\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1)\/(9\/3)). Let j(x) = -x**2 + 4*x. Let g be j(u). Suppose -4*b**5 - 3*b**4 + 2*b**3 + 3*b**2 + b**g + b**5 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73 + 18208*g - 18202*g - 73.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1100 by 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/3)\/(6\/(-4)). Suppose 2*a - 16 = -w*a. Sort 2, -8, a, -3.\nAnswer: -8, -3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4 + 18\/5*s + 2\/5*s**2 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6318 and 5703399.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f**15\/f)\/f))\/(f*f*f\/(f\/(f*f*f**(1\/5)*f))*f*f))**(-2\/61) assuming f is positive.\nAnswer: f**(192\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/5)\/((-12)\/(-3)) + 14. Let h = -13 + k. Solve 0 + h*i + 1\/2*i**4 - 3\/4*i**3 - 3\/4*i**2 = 0.\nAnswer: -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*s - 6 - 130 = -13*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1449.2 and 4.\nAnswer: -5796.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 12:24 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5860629908 + -0.4\nAnswer: 5860629907.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.874795mg to tonnes.\nAnswer: 0.000000001874795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 317*g + 13727. What is o(50)?\nAnswer: 377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.307? (a) 0 (b) -9 (c) 16 (d) -1 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -116815117, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113086378 or 113086381?\nAnswer: 113086381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -14*p + 12. Suppose -n + 9 = 2*n. Let b be u(n). What is the tens digit of 2\/10 - 1734\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 1) + -20 + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -62 - -92. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -0.9. Let u = t - -0.1. Suppose 48*d - 50*d = 4. Which is the nearest to 1? (a) d (b) u (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of -y**6\/45 + y**5\/120 + y**4\/3 + 14*y. Let v(b) be the third derivative of q(b). What are the prime factors of v(-4)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 256552*b + 8227366088.\nAnswer: 2*(b - 64138)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 - 5*b - 5. Suppose -3*q = 2 + 1. Let a(r) = -r**2 + r + 1. Let d(l) = q*i(l) - 5*a(l). Let k(t) = 6*t**2. Calculate k(d(v)).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o - 1. Let i be w(3). Let l(p) = p**3 - 5*p**2 - 102*p + 18. Let u be l(-8). Let c(v) = -7*v**2 + 11*v**2 - i*v**u. Let q(k) = k**2. Give c(q(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 281602944 a multiple of 2961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1458158.\nAnswer: 2, 13, 17, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -1724*k - 2566. Let j(p) = 1724*p + 2576. Let q(t) = 10*j(t) + 11*y(t). Differentiate q(x) wrt x.\nAnswer: -1724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**8\/84 - 2*m**7\/45 - m**6\/10 + 7*m**5\/45 + m**4\/3 - 21*m**2. Determine z so that u(z) = 0.\nAnswer: -1, -2\/3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 - 9*a. What is s(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -177, -198, -233, -282, -345?\nAnswer: -422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -9. Suppose -3*f = -h*w + 10, 13 - 3 = 5*w + 2*f. Let v = -64 - -67. Solve w*a + v = 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1642790*g**3*y**2 - 2*g**2*y**2 - g*y**2 - 2*g*y + 35687*y wrt g?\nAnswer: 9856740*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 262806469 or 262806471?\nAnswer: 262806471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -39*x**3 - 8*x**2 + 2*x + 4. Let p be h(6). Let t be (4*69\/92)\/((1 + -2)\/3). Let l be (12\/t)\/(p\/(-1740) - 5). Round l to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39373 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b**2*c**2 + 343*b**2*c*i + 184*b*c**2 + b*c*i - 2*b*i + c*i - 1 wrt b.\nAnswer: -18*c**2 + 686*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.0472 - -0.0472. Let p = 7 - -3. Let y = -10.5 + p. What is the closest to 0.2 in 0.5, d, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148401255?\nAnswer: 3, 5, 9893417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -264122 (base 10) in base 6?\nAnswer: -5354442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-16)*d*d*d*d**(-1\/27)*d*d*d*d)**8)**(-4\/23))**(4\/11) assuming d is positive.\nAnswer: d**(31232\/6831)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67006844, 134013695, 201020546, 268027397, 335034248, 402041099?\nAnswer: 469047950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14860.2 + -14860. Which is the closest to -4.35? (a) m (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/9 and -10\/99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 148880 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1282233*x**2 + 1165148*x wrt x.\nAnswer: 2564466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + b + b = 82, 0 = 2*d - 4*b - 52. What is the lowest common multiple of d and 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58196 - 32816. Let d(s) = -7 - 5 + n*s + 1288*s + 4. Let k be d(6). What is k rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 + 218 = -18*i + 124 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxkxxxxkxxkx. What is prob of picking 2 x and 2 k?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -5. Let j = m + 0.2. Let v be (-38)\/57*(-9)\/4. Which is the nearest to v? (a) 1 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(sqrt(200) - (sqrt(200) + -2*sqrt(200)))**2 + ((-1*sqrt(54))\/sqrt(3))\/sqrt(9) + -4.\nAnswer: -1606 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 t when two letters picked without replacement from ttwhhueuutthu.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 156960*x - 1256000.\nAnswer: 5*(x - 8)*(x + 31400)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -251, -24, -1.\nAnswer: -251, -24, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-172)\/1442*(18 + -22). Let q = s - 5\/103. What is the closest to -0.1 in -1\/4, -4, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003531056 to five decimal places.\nAnswer: -0.00353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -273*h - 40*h + 12520. Let q(b) = -2*b**2. Let p be q(1). Let d be (-798)\/(-8) - p\/8. Calculate the highest common factor of d and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*y - 2*r = 42, 2*r = 5*y - 111. Suppose -y*l + 18*l = -14825. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 211*u - 8462. What is t(-31)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven halves of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1529 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/4, -5, 3\/7, -12?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 16 - (9 + (8 - 11))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 12:54 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (323*q + 771*q + 18 - 7 - 9)*(-2*q**3 + 7*q**3 + 0*q**3) to the form v*q**2 + c*q**3 + o*q + x*q**4 + d and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8422676399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*s + 48*s - 32*s**3)*((1 + 1 - 3)*(4 - 4 - 2) + 0 + 2 - 3)*(-1 + 1 + s**2).\nAnswer: -32*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**4 - 2*z**2 - 2*z**2 - 3*z + 6*z**2 + (-z**2 - z**2 - 4*z**2)*(3*z**2 + 5*z**2 - 6*z**2).\nAnswer: -11*z**4 + 2*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 228 and 19388404?\nAnswer: 1105139028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.6 and 34.5.\nAnswer: 33.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - ((-9516)\/507 + -31).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000200 (base 5) to base 16.\nAnswer: -1315f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -3, 1, 7, -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/1210 and 37\/40.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4325 is divided by 187?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69829?\nAnswer: 69829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in meters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11267982 and 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317 is divided by 65.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-48)\/64 + 12\/(-16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2495554267?\nAnswer: 2495554267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3084073099 to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(23\/3))**(-1\/4) assuming o is positive.\nAnswer: o**(-23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/121850 and -33\/3090116.\nAnswer: 77252900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -3289, 0, -70, -16, -1 in increasing order.\nAnswer: -3289, -70, -16, -2, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 982492 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5898 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3564509 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + (-1*(sqrt(700) + 1 - sqrt(700)))**2)*4.\nAnswer: 4 + 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -833*s**2 + 4. Let a(j) = 2*j. Determine p(a(f)).\nAnswer: -3332*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 2*n - 640 = 0. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2299, 3713, 6087, 9433, 13763?\n\"Answer: 2*y**3 + 468*y**2 - 4*y + 1833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-354)\/(-1652)*12012\/(-108) - 5\/6?\nAnswer: -74\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/2 - 35*j**4\/2 - 207*j**3 - 1053*j**2 - 4833*j\/2 - 4131\/2 = 0 for j.\nAnswer: -17, -9, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2676?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 10. Suppose -5*b + 43 = -i, 2*b - i - 3*i = 28. Let v(d) be the first derivative of d**2\/2 - 3*d + 264. Let y be v(b). Determine k(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(60)\/(sqrt(18)\/sqrt(6)) + sqrt(1620) + (sqrt(1620) + sqrt(1620) + 3 + 4)**2)*-6.\nAnswer: -39174 - 3060*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1153609 divided by -13.\nAnswer: 1153609\/13","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 + g**3 - 3*g**3 + (3*g - 2*g + 3*g)*(g**2 + 2*g**2 - 2*g**2))*(142*g**2 - 80*g**2 - 78*g**2).\nAnswer: -80*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1014.345 greater than -26.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = -16*f - 25*f. What is the nearest to 0.04 in f, 15\/7, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67\/371 + 60680\/436667. What is the common denominator of 23\/2 and r?\nAnswer: 2354","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.09, 0.1, 1.149, -147?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 21 + 2*1. Let m be (-2 - (z + 2))*-1. Let p(c) = c**3 - 21*c**2 + 173*c - 584. Let d be p(12). Calculate the greatest common divisor of d and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1620\/75)\/(1\/(-37500)). What is s rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -2 + 1 + 4. Let o be z\/(-4)*20\/(-25). Solve w - 4 = -4*a, 4*a + o*w = -0*a + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11780442 * 5.\nAnswer: 58902210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) -0.1 (c) 9 (d) -8877.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -126164, -126164, -126168, -126176?\n\"Answer: -2*o**2 + 6*o - 126168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-220)\/(-3)*((-1872)\/(-65))\/12. Suppose 12*w = 23*w - a. What is the remainder when w is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2 + 1\/4*o**2 + 3\/4*o = 0. Calculate o.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 103*o + 376. Calculate q(27).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.3 + -13.1. What is the closest to -3\/14 in -1\/4, 2\/9, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 + 2*l**2 + 2*l**4 + 12*l - 6*l - 6*l + 2 to the form r*l**4 + i*l**3 + b*l**2 + k*l + s and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14*w**3 - 2*w + 2. Suppose 136*h - 94*h = 42. Calculate a(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.07 + -0.07. Let v = -2.2 + o. Which is smaller: 0.3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 111\/(-296) + 87\/72.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*j*u**2 + 1332*j + 96271*u**2 + 1059 wrt u.\nAnswer: 30*j*u + 192542*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(100) - sqrt(4)) - ((1*sqrt(130) - sqrt(130))\/sqrt(10))**2)*-5 + 4*(sqrt(637)*-1 + sqrt(637) + 1)**2.\nAnswer: -5*sqrt(13)\/4 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 313 + -305. Calculate the smallest common multiple of g and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*k - 8*k - 4 + 9*k)*(18*k**2 - 6 + 6) to x*k + l + i*k**2 + d*k**3 and give d.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z + 1. Let s be c(4). Let x = 4 - s. Let q(i) = -i**2 + 2*i. Let r be q(2). Solve -2*u - h + r - x = 0, -4*u = h + 15 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + g = -285, 5*g - 80 = -5*d + 415. Suppose -9*h + 6*h = -d. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77, -86, -101, -122?\n\"Answer: -3*w**2 - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 29*z**3 + 86*z**3 - 1997914*z + 1997912*z to the form x*z**3 + s*z**2 + v*z + k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 6*d**2 + 4*d - 2. Let b be m(-5). Let v = 21 + -30. Let h be 6 + 3 + v + 3. Solve 5*n - b*s + 34 = -0*s, -n - h*s + 4 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10394 + 10394.14477. Round g to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 55 - 14 = 3*s, 0 = 2*s + 3*y - 27. Suppose -3*n + 4*n = s. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -387, 696, 2487, 4980, 8169?\n\"Answer: -k**3 + 360*k**2 + 10*k - 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 19, 83, 151, 223?\n\"Answer: 2*f**2 + 58*f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*h + 33, -103*j + 104*j = -h + 10. Solve h*v - f = -10, -55*f + 54*f = 5*v + 22 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 90969422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.64801 + 0.18899. Let u = 1.293 + l. Round u to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94772 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: Simplify (sqrt(576)\/sqrt(12))**2 - (sqrt(3) + -2 + 3).\nAnswer: -sqrt(3) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 118 and 2773.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56*(-462)\/(-14112)*(-3)\/33*2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*q - 1276*q - 1651*q - 424*q to the form d*q + c and give d.\nAnswer: -3326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.07734 rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1212222110 - 1012?\nAnswer: -1220000122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) 45704\/21 (c) -0.7 (d) -4 (e) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(81\/(-1)))\/(1\/(-2))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 122 (b) 0.04 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 65?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 431102541?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125586635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 5 (b) -8718 (c) -0.3 (d) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782003 is divided by 781966.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**5\/140 + 3*k**4\/7 - 72*k**3\/7 - 29*k**2. What is d in h(d) = 0?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -19*n**3 - 2*n + 1. What is x(1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -294*q**2. Let i(x) be the first derivative of -3*x**2 + 1936. Give r(i(l)).\nAnswer: -10584*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6501 - -19292. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/22054 and 49\/2.\nAnswer: 22054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 64 + -51 + (34 - (2 + -1))\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**2 + 3568524*g + 28547936 = 0. What is g?\nAnswer: -892123, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005077423 to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 u, and 2 p when four letters picked without replacement from {e: 2, z: 1, u: 1, p: 4, o: 3, c: 7}?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*a = -196*a - 32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1628, 1627, 1626, 1625?\nAnswer: 1624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + ((-6456)\/(-9) - 1\/3)?\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4211288 divided by 2105644\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2378439?\nAnswer: 3, 7, 19, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11488 a multiple of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4821566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.9, 6, -2\/5, -0.18, -21, 0.1?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/1*8\/(-10). Put -1, r, -5 in descending order.\nAnswer: r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.2741 + -0.0259. Let v = s - -22.3. Let h = -5 + 0. What is the closest to v in h, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -7, 4, -10 in descending order.\nAnswer: 4, 2\/5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -2*i**5\/75 + i**4\/12 - i**3\/15 - 10*i**2. Factor v(x).\nAnswer: -2*(x - 1)*(4*x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 857 = -175*x - 543 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emteeeeemmeeeeeeeeee. What is prob of sequence tmm?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*o + 1, 3*b = -0*o - 2*o + 28. What is the tens digit of 58 + (b\/1 - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6346\/15 in -2\/3, 28, 3\/2, -5, 3, -3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhah when four letters picked without replacement from hhhhhhhhaaahhaah.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 = -0*a. Let g = 7 + a. Suppose 0 = g*i - 13 - 37. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 808*b - 820*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*a**3 - 147*a**3 - 337*a**3.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**5 + 300*k**4 + 50442*k**3 - 153096*k**2 + 153681*k - 51324 = 0. What is k?\nAnswer: -91, 1, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/5 (b) 12 (c) -1 (d) -1\/184 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 1 + 8. Let a = 8 - k. Let h be (-16 - a)*3\/9. Let m(x) = -x**2 - 7*x - 5. Determine m(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, z: 3}. Give prob of sequence ttzt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1067 - 1016. What is the remainder when 169 is divided by w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 - a4?\nAnswer: -c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3)*93\/(-589). What is the third smallest value in 0.4, -1\/3, o, -0.17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -76*z**3 + 2*z**2 - 10*z - 6. List the prime factors of a(-4).\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -832 = 4*u - 804 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**0*w*w))**(-3))**(3\/11)\/((w**(1\/4))**(-13\/2)*(w**0)**18) assuming w is positive.\nAnswer: w**(287\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 89751 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*l**5\/23 + 30202*l**4\/23 + 16277794*l**3\/23 - 11642410*l**2\/23 = 0 for l.\nAnswer: -1079, 0, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-34)\/153)\/((-2)\/82) + -2 and 42\/13?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 2*c - 5*u, 2*u = -c + 6 + 21. Suppose l = -4*l + c. Let b(h) = -h**3 + 6*h**2 - 2*h - 2. Calculate b(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 25704 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/(-15)*54\/81*1\/2*-15?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (10 + 4)) + -10 + 8 + -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/589933 - 92619145\/198217488. Find the common denominator of g and 25\/336.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-720)\/27)*4*15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*h - 59*h + 115*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 356*y + 1023*y + 401*y to b*y + k and give b.\nAnswer: 1780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -325\/6 - -54. Let b(w) = -w**3 + 9*w**2 - w + 13. Let h(r) = r**3 + r**2 + r - 1. Let x(a) = b(a) + 2*h(a). Let t be x(-11). Which is greater: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019103 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mynfdmxfd. Give prob of picking 1 y and 3 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60*q**4 + 2*q**2 + 545 with respect to q.\nAnswer: -240*q**3 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - -0.1. Suppose -2 = -2*r + 10. Let w be (-4)\/r*12\/(-32). Which is the biggest value? (a) t (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1212111113 (base 4) to base 10.\nAnswer: 419159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 220005 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/(-6) - (-40)\/60. Which is smaller: j or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50 - -55. Suppose 0*s + 3*s - i*p + 20 = 0, s - 5*p = -20. Solve -3 = k - s for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(16\/(-3)) - 11\/((-22)\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.210589 weeks to nanoseconds.\nAnswer: 732164227200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/15*(-275)\/110?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28 * 38\nAnswer: -1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4896*f*r**3*s + 99*f*r**2 - 7987*f*s + 62*f - 2*r**3 - 4*r**2 - 5*r with respect to s.\nAnswer: 4896*f*r**3 - 7987*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 0 + 0*q**5 + 0*q**6 - 8*q + 0*q**4 + 0*q**2 - 5\/6*q**3 - 5\/42*q**7. Find the second derivative of f(u) wrt u.\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37287 + 37286. Let o be 308\/48 + (-1)\/(-4). Let i = o - 16\/3. Sort i, 2, k in increasing order.\nAnswer: k, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/7))**(-35))**(-30)*(k**1)**(-2\/9)*k\/(k\/(k*k*k\/(k\/(k**(-3\/2)\/k)*k)*k*k*k*k))*((k**6*k)\/k)\/k assuming k is positive.\nAnswer: k**(24431\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 9*p**2 + 3 + 7 - 9 + p - 17*p**3. Let f(q) = q**3 + 2*q**2 - q - 1. Let h(d) = f(d) + k(d). Find the third derivative of h(s) wrt s.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -70019 + 136171\/2. Let z = h - -1884. Let p = 645\/2 - 1847\/6. Calculate the common denominator of p and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 287753062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 0, -1, 2\/9, -1\/4 in ascending order.\nAnswer: -45, -1, -1\/4, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 159542519698 - -4.\nAnswer: 159542519702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-4138 + -2)\/(-3). Let c = -839 - k. Suppose -5*a + 620 = 5*g + 65, 5*g - 3*a - c = 0. Does 16 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 - 20593522 + 20593522 + 5*m**2.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -9*g**2 + 29*g + 23. Let f(p) = 47 - 8*p - 21*p**2 + 10 + 80*p. Let u(x) = 12*d(x) - 5*f(x). Factor u(m).\nAnswer: -3*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 3*o + 3*o)*(-5260*o + 26143*o + 1726*o + 3495 - 3495 + 19567*o).\nAnswer: -84352*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 597*x**2 - 29400*x + 28800.\nAnswer: 3*(x - 40)*(x - 1)*(x + 240)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g - 7. Let s be w(-7). Let d = -9 + s. Let o = 0 + d. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -1135, -33, 0.4, 0.12?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 876851 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12247131 and -2?\nAnswer: -24494262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1056514\/17 + 1112543480\/17901. Let h = p + 32\/81. Suppose -2*w = -0*w - 2. Which is bigger: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b + 2*u + 18 = -25*b, -5*u - 40 = -4*b. Solve 0*t = -r - 3*t + 9, 0 = -b*t + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3)*o)\/o*o**8)\/((o*o*o\/(o**3*o))\/o*o**(-2\/9)) assuming o is positive.\nAnswer: o**(65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06121 times -5.9?\nAnswer: -0.361139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/372673 and 42\/53239.\nAnswer: 372673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -19, -61, -141, -271, -463, -729?\n\"Answer: -2*n**3 - n**2 + n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.693 - 0.6914. Let o = b + -0.00161977. Round o to 6 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + 198?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -514 + 40104?\nAnswer: 36260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.15, -4, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142798, -571159, -1285090, -2284591?\nAnswer: -3569662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/4 - 23\/(-4). Let i(k) = -20*k + 512. Let p be i(25). Calculate the greatest common factor of b and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -5 (c) -24 (d) 0.699 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/15, -1, 3.4, -0.5 in decreasing order.\nAnswer: 3.4, -2\/15, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -45 (b) -1 (c) 2\/5 (d) 2 (e) 0 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 2*z**2 - 3*z - 6. Let s be x(6). Suppose 11*a = s + 1309. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 75, 98, 103, 84, 35, -50, -177?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 656 and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one quarter of a centimeter?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 7*b + 3. Let p be f(-6). Calculate the remainder when 17 is divided by 0 - (-12 - p - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -472, 2.9?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -17*j - 1045. Let y(v) = -v**2. What is u(y(x))?\nAnswer: 17*x**2 - 1045","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/2 + (-15)\/3. Let w be (-10)\/18 + 4\/18. Which is the closest to 1? (a) r (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7775600?\nAnswer: 2, 5, 7, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -3043.8.\nAnswer: -3043.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -159999*x**2\/2 - 5*x + 3. Let w be (5 - -1) + (-2)\/2. Let k be v(w). Round k to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*(z*z*z\/z**1*z)\/z*z)\/z*z)**(3\/4))**(-6)\/((z**(-1\/12)*z*z**(-2)*z)\/((z**(-4)*z)\/(z*z**(-2\/7)))) assuming z is positive.\nAnswer: z**(-2195\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 22*v**2. Let m(z) = -15*z - 5. Let n(y) = -17*y - 6. Let w(x) = -6*m(x) + 5*n(x). Give j(w(d)).\nAnswer: 550*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 1:15 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 1, -30, -73, -128, -195, -274?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 9:12 AM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 - (42 + -41 - ((-6 - -7) + -3 + 4)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 26*r - 15. Let v(m) be the first derivative of 95 + 3*m - 5\/2*m**2. Calculate 2*u(s) + 11*v(s).\nAnswer: -3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 15, -4*h + 8*a - 28 = 4*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -13*p - 331. Let y(x) = 7*x + 179. Let n(i) = -6*s(i) - 11*y(i). Let o(q) = 3*q + 34. Calculate -5*n(w) + 2*o(w).\nAnswer: w - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-6)\/3)*5*1. Let f be -7 - (-6 + u + -5). Let p = 48 - 28. Which is the second biggest value? (a) 0.1 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -26100 and 0.4.\nAnswer: -10440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 0*z - 62 + 0*z**2 + 3\/35*z**5 + 25\/7*z**3 - 15\/14*z**4. Factor i(l).\nAnswer: 3*l**2*(l - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 11.8828\nAnswer: 47.5312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14 - -6)\/(-2 + 1). Suppose -28*z**4 + 16\/21 + t*z + 572\/21*z**2 - 98\/3*z**5 + 74\/3*z**3 = 0. What is z?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/450)\/((182\/1365)\/(2\/(-8))).\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1744? (a) 0 (b) -0.681 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -33 - 0) + -1 + -13 - -16?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1688 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/129 + -92\/387. Let l = -745\/14 + 107\/2. Let b = 92 - 96. What is the nearest to l in 0.5, b, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20723 and 48635079?\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 2054, -3, -0.75, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/176 and 9\/296.\nAnswer: 6512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 45 - (0 + 14 - (30 - (25 + -2)))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - s - 4. Let x be j(4). Let h = -6 + x. Solve 1 = 4*g - w - h*w, 0 = g - 5*w + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 3, -0.17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -129, -3, -5, 42 in decreasing order.\nAnswer: 42, -1, -3, -5, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -477, -1605, -3795, -7401, -12777?\nAnswer: -20277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-26*(-34)\/(-12376))\/((-4)\/(-7)))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 332.783 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9316.872 millennia in centuries?\nAnswer: 93168.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.390406 meters in micrometers?\nAnswer: 5390406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 8 = -10*y. Let h = 1.78 + -2.97. Let j = h + 1.29. Which is the third smallest value? (a) y (b) j (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 = -0. Suppose 7*t = c*t + 16. Suppose j = -4*l - 128, 247 = -t*j - 3*l - 304. What is j rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 43*r**2 + 84*r - 110. Let x be i(41). Sort 1, -1, x, -4.\nAnswer: x, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1969 and 13753823?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28651 - -5133. Is l a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1283404737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 92 or 31967?\nAnswer: 31967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 12*x**2 + 8*x - 22. Let n be o(11). Let b = 55 + n. Solve -t - 3 = -b*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.08, 0, 10, 1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100011110110110110 (base 2) to base 7\nAnswer: -1151123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7367968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*s + 4*s - 4*s)*(-4 + 1 + 2)*(-6 + 6 - 15*s)*(2*s + 0*s + 3 - s**2 + 4*s**2) as o*s**2 + d*s**3 + q + t*s + b*s**4 and give o.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 519*j**2 - 55348*j + 1842. Give i(-369).\nAnswer: 1104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.61919009 - 0.5?\nAnswer: -46.11919009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.025 + 62.975. Let x = w + -63.031. Let f = 0.030939 + x. What is f rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72 + 56)\/((-40)\/65).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93058703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1)*3 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1462*d + 2*p = 1465*d - 4, -4*d + 19 = -d - 5*p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -614, -2149, -6302, -14381, -27694, -47549, -75254, -112117?\nAnswer: -159446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000110001001010 - -101001001010101?\nAnswer: 1101111010011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*h**2*v**3 + 2*h**2*v**2 + 4*h**2 - 30*v wrt v.\nAnswer: 204*h**2*v + 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5132, 5226, 5384, 5606?\n\"Answer: 32*x**2 - 2*x + 5102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 142 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14\/3*f**3 + 0 + 0*f + 16\/3*f**2 - 2\/3*f**4.\nAnswer: -2*f**2*(f - 8)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 358861, 358915, 359011, 359155, 359353?\n\"Answer: i**3 + 15*i**2 + 2*i + 358843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 3*l - 58 - 21 - 44.\nAnswer: -2*l - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7800 + 16463. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v - 2*v**4 + 3*v + 3*v**4 + 3*v**2 + 3*v + 2 in the form h*v**4 + l*v**2 + f + t*v + z*v**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*w - 16 = -2*r, 17 = -5*r - w. Let t be r\/12 - 1\/(-4). Let u(d) = 9*d + 1. Let h(l) = -4*l. Let a(x) = -7*h(x) - 3*u(x). Give a(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 4)*(2*h + h - 5*h) + 2*h - 6*h + 2*h)*(-2*h**3 + 4 - 4) - h**4 - 4*h**4 - 4*h**4.\nAnswer: -13*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8956 + 8984. Suppose -z = -4*z - 6. What is the units digit of -4 + 5 + z + v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 10*j - 7*j - i, 0 = 4*j + i - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 2, t: 2, r: 1, c: 1, z: 2}. Give prob of sequence ckz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*h + 19 + 475 + 38 = 0 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 278 - 273. Let c(v) = -20*v**3 + 265*v**2 - 130*v - 105. Let a(i) = i**3 + 2*i - 1. Let u(q) = b*a(q) - c(q). Solve u(h) = 0.\nAnswer: -2\/5, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-8)\/6)*((-44)\/22)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269967338?\nAnswer: 2, 7549, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o**2 - 3*o - 2 + 3*o + (-2*o + 5*o - o)*(0*o - 3*o + o) - o**2 + 4*o**2 + 0*o**2.\nAnswer: 2*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28760 is divided by 575.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.37 * -1996.\nAnswer: 26686.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/7 (b) 3 (c) 4 (d) -1.68 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*q + 5*z - 3, -3*q - 3*z = -6. Let r be 4\/18 + (5 - (-77)\/(-63)). Suppose -r*b + 695 = 683. Solve -w + b*s = 5 - 10, 6 = -3*w + q*s for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.221 + -0.221. What is the third smallest value in z, 1, -2\/55?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 15*b**2 + 6*b - 21. Calculate p(-15).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 368 and 138.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -5*j**7\/42 + 69*j**4\/8 + 49*j**2. Find the second derivative of z(t) wrt t.\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -457\nAnswer: 2\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*v = 6, -14*z - 5*v - 15 = -20*z. Let l(d) = d**2 - 4*d + 5. Let p be l(2). Put -4, p, z in decreasing order.\nAnswer: z, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/186 and -56\/298377.\nAnswer: 18499374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 214747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.61217 and 2.2413?\nAnswer: 1.372056621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from punpnbpuppuubunbp. What is prob of sequence nbnb?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 15. Let g be i(-8). Let k be g*((-3)\/(-3) + -1) + 3. Solve 0 = -k*p + 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10483?\nAnswer: 11, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 0*n. Let o be (-5)\/(-3 + 2 + 2). Sort o, -2, n.\nAnswer: o, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -u**2 - 3*u - 1. Let z(f) = 3*f - 1. Let w(h) = -h. Let i(a) = -22*w(a) - 6*z(a). Calculate -2*i(r) - 5*p(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 + -91 + 90.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32069, -32061, -32047, -32027?\n\"Answer: 3*v**2 - v - 32071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + w)*(25*w**3 - 32*w**3 - 36*w**3) + (-3*w**2 - 3 + 3)*(-3*w**2 + 6*w - 6*w).\nAnswer: -34*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5616138 and 330.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2. Let q(r) = 2*r**3 + 5*r**2 + r. Let k be (11\/(-4))\/(2\/(-8)). Let f(a) = -a**3 + 11*a**2 + 1. Let v be f(k). Calculate v*q(y) + 3*c(y).\nAnswer: 2*y**3 + 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2, -5, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235 is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.095 (c) -26 (d) 0.04 (e) 2\/7 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/(-5))\/30)\/(4 - (-310)\/(-75)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**4\/12 + 5*g**3\/6 + 21*g**2. Let o be (-1)\/(-3) - (-121)\/33. Let s be h(o). Is s at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163, -166, 103, 776, 1985, 3862, 6539, 10148?\nAnswer: 14821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -0.24, -3 in descending order.\nAnswer: 1\/6, -0.24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n**2 + 1. Let i be y(-1). Let f be 7*6\/(-42)*-8. Suppose -i*w - 860 = -f*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 1494?\nAnswer: 17928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4400633906 to two decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(27)*-6)**2 - ((3*sqrt(36))\/sqrt(12) - (sqrt(75)*1 + sqrt(75))**2).\nAnswer: -3*sqrt(3) + 6132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*k = 897*k - 12240 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2631*i**2 + 44*i - 86. Let t(x) = -10*x + 1. Let j(v) = -n(v) - 3*t(v). What is the second derivative of j(o) wrt o?\nAnswer: 5262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/54*10*2. Let c = 143\/27 - k. Let o = 2054689\/12 - 171223. Find the common denominator of c and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) -8 (c) -5 (d) 0.086 (e) 0 (f) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 765785519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1457636 is divided by 216.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*h = 81*h + 40. Let i(l) be the first derivative of h - 3\/8*l**2 - 1\/6*l**3 - 1\/4*l. Find x, given that i(x) = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + (-2 + 2)\/(-2). Suppose -29 = -q*k - 1. Solve -k*o - 26 = -3*i, -5*i = -o + 2*o - 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -811 - -827. What is the remainder when 76 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34\/13*r**2 - 96\/13 - 128\/13*r - 2\/13*r**3.\nAnswer: -2*(r + 1)*(r + 4)*(r + 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 1. Let q be g(-1). Suppose 5*z = 5*y - 7395, 5*y = z + q*z + 7399. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 411 and 1467.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 - 4.6. Let h = -0.9 + 6.4. Let x = h - 5. Which is the nearest to 1\/3? (a) v (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0.4, -983, -2?\nAnswer: -983","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*r = -115*r - 616. Is r != -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b + 439 - 2*b + 10*b - 441 as m*b + s and give m.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 divided by 1.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 735 is divided by 102?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccp when four letters picked without replacement from ccpcppcppppcpp.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*q*v - 12886*q + 150*v with respect to v.\nAnswer: -53*q + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k - 5 + 5)*(-1 + 5 + 1) + 5*k - k + 2*k)*(0 + 3*k + 0).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -3*d - 12, 0 = -2*v - d - 113 + 108 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 72. Let t = 19 - 30. Let y = w + t. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -6*z**3 + 3*z**2 + 3*z + 1. Let m be o(-1). Solve -m*y = -2*y + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29967595.\nAnswer: 5, 7, 37, 73, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 3\/4 (c) 0.32 (d) -30\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1*w**(-2\/9)\/w*(w\/(w*w*w*(w\/w**(-25))\/w*w))\/w**33)**(-37) assuming w is positive.\nAnswer: w**(20054\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -637, -1009, -1479, -2047?\nAnswer: -2713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = d + 6, 0 - 4 = -3*d - 5*q. Let h = d + 4. Differentiate 3*p**2 + 2*p**h - 7*p**2 + 3 with respect to p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6856 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(2*sqrt(7))*4)\/(-2*(sqrt(384) + 4*sqrt(384))) + 0 + -2.\nAnswer: -2 - sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w - 4. Let f(l) be the third derivative of l**4\/8 - l**3 + 28*l**2. Let s be f(w). Solve 5*p - 25 = -s*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/9 (b) 3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(405) - (sqrt(405) + 2*sqrt(405))) + -4 - sqrt(405)) + 1 + (sqrt(2695) + sqrt(2695)*-1)\/(-4*sqrt(11)*-1).\nAnswer: -54*sqrt(5) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 83410333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10449711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 4, -5, 50.641, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 21*a**2 - 88*a + 16. Let f be g(-6). Solve 0 = f*m - 2*y + 6, 4*y + 17 = -3*m + 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 780 and 245348610?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 6*i**2 - 13*i + 12. Let h be (146\/(-30) - -5) + (-118)\/(-15). What are the prime factors of p(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 1668 = 2*k. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 - 10*r**2 + 15*r**2 - 3*r**2 + 4 - 245*r to u + a*r + t*r**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/((-660)\/176)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -3170.\nAnswer: -3171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*t - 166 wrt t?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 459 in 4\/7, 0.2, -732, 0.1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51493481 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -371 - -402. Let x = -1 - 0. Let d be x\/(-3 - (-1022)\/341). Calculate the highest common factor of m and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-7) - 362*(-12)\/168. Suppose -7056 - 640 = -y*p. Calculate the remainder when p is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 281 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647136 is divided by 15917.\nAnswer: 10456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0852 + 0.3.\nAnswer: 0.2148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04526122 and 419645?\nAnswer: 419644.95473878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + (117 - (42 - 11)).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 8 (b) 4\/5 (c) -0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.842 - 0.93. Let y = 0.312 - n. Let i = 3 + 1. Which is the smallest value? (a) y (b) -1\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of -b**4\/12 - b**2 - 14*b - 78. Let p(v) be the second derivative of f(v). Let t(l) = -2*l - 33. Calculate t(p(h)).\nAnswer: 4*h - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 38*l**2 + 235*l + 45. Let h be y(-6). Solve -2*o - a = -12, -2*o - h*o + a = -23 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.6 - -2.4. Let q be 1 - -1 - (-48)\/(-26). Let m be (-16)\/(-18) + (-4)\/6. What is the second smallest value in m, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 25 + -6 + 6 + -5. Suppose -2*q - 17 = -i, 23*i + 4*q - 31 = p*i. Suppose 624 = g + 2*g. What is the greatest common divisor of i and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 662?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0*w - 8 = 3*z, 3*z + 2*w + 14 = 0. Suppose -y + 5*y = 0. Put 3, z, y in decreasing order.\nAnswer: 3, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -5.3, 0.5, -2?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1904 and -595.\nAnswer: -595.1904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -349 - -345. Let y(g) = -2*g**3 + 4*g**2 + 4*g**2 + 8 - g + 4*g**3. Let w be y(n). Solve -5*m = -4*a - 32, -2*m = m - w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from {m: 3, c: 8, r: 2, n: 1, h: 5}.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 28 = -2*n + n, 3*u = -4*n + 3. What is the remainder when (-64)\/u*-20*(-3)\/(-8) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -133 - -15?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001711323 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -18*v**3 + 4*v**2 - 2 + 29*v**3 - 10*v**3. Let t = -3 - -5. Let z = t - 6. Give q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0414995 rounded to three decimal places?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/87259 + 523575\/610813. Factor -n*f**2 - 40\/7 + 64\/7*f.\nAnswer: -2*(f - 10)*(3*f - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.896 less than -3?\nAnswer: -38.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 17.\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 2 + (-2 + 4 + 0)*(-2 + 4 - 3))*(6*a - 5*a**4 + 6*a**4 - 2*a**4) to n + x*a**3 + w*a**2 + p*a**4 + o*a and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(1\/12)\/(t\/(t\/t**(-2))*(t\/(t**1*t))\/t)*(t**6*t\/(t*t\/t**1))**(13\/7) assuming t is positive.\nAnswer: t**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-144)\/(-27))\/(2\/6). Suppose -v = -4*h - w, -5*h = -3*w + 4*w - 21. Solve 0*d - d - h = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2 - 35*y + 127. Suppose 4*g - 105 = 9*g + 5*s, -5*s + 51 = -g. Is a(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 4. Let w(y) = 3*y + 17. Suppose -7*b = 474 + 737. Let k = b + 171. Give k*w(q) - 9*x(q).\nAnswer: 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 0*n**2 + n**2 - 2*n - 4 + 0*n**2 + 7. List the prime factors of z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 23*r - 139. Determine p(8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3874 and 17407.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 4*h**2 - 2*h + 70 + 4*h + 26*h**2.\nAnswer: 30*h**2 + 2*h + 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4 = 4*r, 2*t = -5*r + t + 11. Suppose -v + 37 = r*j, 4*v = 7 + 5. Suppose 193 + 107 = 6*c. What is the remainder when c is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/6 and 67\/3406?\nAnswer: 10218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (558*35\/(-525)*(-35)\/(-7))\/(-2)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32 - 52. Let n = 26 + u. Let a be 1\/(-1) - (-26507 + n). Round a to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a + t = 2, 0 = 5*a + 4*t - 8. Let y(m) = m**2 + 2. Let s be y(a). Solve 0 = s*f - 3*f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 0 - 9 + 7*m**3.\nAnswer: 6*m**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*a - 15 = 0, 0 = 2*f - 5*a + 2*a + 1. Let w be (72\/32)\/(f\/(-96)). Suppose -j + w = -11. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-5)*p*p**(-1\/6)*p*p*p)**(-20))**(-45))**5 assuming p is positive.\nAnswer: p**(-5250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1425729 is divided by 475230.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4948 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, and 1 p when three letters picked without replacement from {c: 1, g: 2, p: 1, n: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(-14 - -21) - 0. Which is the second smallest value? (a) -1 (b) 4 (c) n (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a litre in millilitres?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -62719 and -1727 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-198)\/16)\/(39\/(-26))*(-20)\/(-60)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -574, -4863, -16896, -40669, -80178, -139419, -222388?\nAnswer: -333081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 22*x**2 + 2*x - 47. What is g(22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 0*p. Solve 0 = -p*z + 4*z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -273747?\nAnswer: -273752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**2\/2 + 3*g - 1. Let c be l(0). Suppose -c*h + 27 = 3*w, h + 0*h = -3*w + 7. What is the least common multiple of 5 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (0 - -2)) + -2. Does 17 divide s\/18 - 422\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - -1?\nAnswer: 2f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.44 - 0.04. Let t = -107 + 533\/5. Which is the third smallest value? (a) t (b) o (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*x = 127*x - 210. Let z be (-23 - (18\/(-3))\/3) + 3. Put z, x, 4 in decreasing order.\nAnswer: 4, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2022232 (base 6) in base 2?\nAnswer: 10111100010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1051a0 (base 11) to base 9\nAnswer: 275326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 65905202039?\nAnswer: -65905202035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1 = f + 8, 15 = 3*f + 3*n. Suppose -2*j + 102 = 3*r, 13*r + f = 15*r. Which is greater: 44 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - y + 0)*(1 + 1 + 0)*(-7*y - 27*y + y).\nAnswer: 66*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*h**2 + 6*h**2 - 2*h**2 - 6*h**2 + 4*h**2.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255899 is divided by 85296?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 - -42. Let p = 123.5 - 173.4. Let y = w - p. Round y to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3254.01 rounded to zero decimal places?\nAnswer: -3254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 524230979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**2\/7 - 2340*j\/7 + 4688\/7 = 0.\nAnswer: -1172, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -68555000 to the nearest 100000.\nAnswer: -68600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 + 65. Solve 2*n - 2*i = -0*n - 4, -m*i + 5 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 640*p**3 - 5*p**2 + 37*p.\nAnswer: 3840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r - 96*r = 47*r + 6642 for r.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + (-26)\/4. Let k be (5\/(-15))\/(4\/(-24)). Is (-411)\/l - k\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*h - 14 = -0*h, 0 = h - 1. Let g = b - -14. Calculate the remainder when 30 is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 11*j**6\/360 - j**5\/24 - j**4\/4 + 6*j. Let s(g) be the third derivative of x(g). Is 21 a factor of s(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -228.938 - 0.062. Let v = 25058 - 24830.07. Let n = v + t. Round n to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 10 = 4*r. Suppose -3 = r*b + 19. Is 16 a factor of ((-6)\/(-5))\/(b\/(-385))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 17, 1.\nAnswer: -4, 0, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2652992 rounded to 4 decimal places?\nAnswer: -0.2653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -202 - -112. Let w = 96 + j. Let x(d) = 2*d**2 + 7*d - 15. What is the tens digit of x(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45\/2? (a) -1\/2 (b) -0.4 (c) -0.2 (d) 28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -45?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -256 + 562. List the prime factors of t.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/7 + 2202*k\/7 - 192681\/7.\nAnswer: 3*(k - 79)*(k + 813)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(605) - (2 + sqrt(605))) + 1*4*sqrt(605) - 6*(-6*((sqrt(605) - -3*sqrt(605)) + sqrt(605)) - sqrt(605))*6)*4)**2.\nAnswer: -4730880*sqrt(5) + 12142594304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (-306 - -40)\/(-19)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29300 is divided by 111.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 23, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 58395 * 0.4\nAnswer: 23358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0\/(-1) - -1) + 7. Suppose 3*w + 1 = -d, 27 = -3*b - 2*w. Let i(h) = h**2 + 4*h - 9. Let m be i(b). Solve -q + 1 = -5*u - 19, 3*u = -2*q - m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360479057 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*u**2 - 299*u**2 + 195*u**2.\nAnswer: 103*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**3 - 2*n**5 + n**3 + (-n**5 - 5*n**5 + 5*n**5)*(1 - 2 + 2) + 29*n - 7*n**5 - 29*n + (-53*n - 6*n**4 + 53*n)*(-6 + 8*n + 6).\nAnswer: -58*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6 = -4*o. Suppose -o*m + 113 = -2*n, 0 = 2*m + n - 49 - 38. Is m a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17511636?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12513270 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 3, 6\/11, -4, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-4620)\/126 + 36 + 1 + 8\/(-15)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rzz when three letters picked without replacement from zzzr?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -6*(-10)\/(-60) + 348 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4865 and 569590?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + h + 32 - 107 = 0, -h - 21 = b. Let o be 11*((-5)\/(20\/b))\/11. What is the highest common divisor of 294 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -129\/4. Let l(n) = n**2 - 8*n + 1. Let y be l(7). Let r be (-8)\/(-30)*9\/y. What is the smallest value in r, m, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.717544007 and -0.5.\nAnswer: -1.217544007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*8\/(-56))\/(12\/8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 343905 + 188.\nAnswer: 344093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5422381163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/55 and 29\/7995.\nAnswer: 87945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 962981.\nAnswer: 131, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 7*g**2 + 10*g + 24. What is the units digit of i(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -748 - -1464. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609 a factor of 506722370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 25\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011783645 rounded to 6 decimal places?\nAnswer: 0.011784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*i + s, -5*i + 2*s - 17 = -2*s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -24. Let f be r\/(-3) + 2 - 1. Let n(q) be the third derivative of -q**4\/12 + 7*q**3\/6 + q**2. Determine n(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -117 + 114. Let j = -502\/903 - 2\/129. Which is the biggest value? (a) -6 (b) o (c) j (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, u: 4, j: 5, e: 6}. Give prob of picking 1 j and 1 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaq when three letters picked without replacement from {q: 7, u: 1, a: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3324, 6640, 9956, 13272, 16588, 19904?\nAnswer: 23220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -7*r + 2*r. Differentiate -49*t**4 + 17*t - r - 3 - 15*t with respect to t.\nAnswer: -196*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 5*f - 6 = 8*j + 1, 4*f - 47 = 4*j - 39 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeewfaeaafaaaoe. What is prob of sequence we?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 13*h - 1. Let m(g) = 3*g. Suppose 30 = 5*a + 5*x - 2*x, 4*a = 3*x + 51. Determine a*m(c) - 2*v(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 11401015.37 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 + 2 - (837 + -809).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/429429 and 9\/7865?\nAnswer: 2147145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3d2931 (base 15) to base 7\nAnswer: 34014133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25490*f**3*x**3 - 4*f**3*x + 3*f**2*x**3 - 71*f*x**2 + 8*x**3 - 17*x + 3 wrt x?\nAnswer: -152940*f**3 + 18*f**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 15624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(351\/52)*1. What is the smallest value in v, 9, 17?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 324859*-0.4.\nAnswer: -129943.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -20, -105, -244, -437, -684, -985?\n\"Answer: -27*l**2 - 4*l + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 25426.2.\nAnswer: -25426.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1067 and 11099?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = 2*z - 40 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2143 (base 7) to base 10\nAnswer: -766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 times 976?\nAnswer: -38064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r**30)*r**(2\/43) assuming r is positive.\nAnswer: r**(-1288\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**3\/9 - 10*w**2\/9 - 4*w\/3 = 0.\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 11\/3, 4, 3?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5291 - -11484. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 6203468?\nAnswer: -620346.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2023418?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -276438, -1105721, -2487852, -4422831, -6910658, -9951333, -13544856?\nAnswer: -17691227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, 0.2, 1, -158, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15c7 (base 14) in base 8?\nAnswer: -7473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*n - 3*l + 2*l, -n - 3*l = 4. Suppose 0 = -4*k - 8, n*k = w - 2*k - 13. Solve 2*t - t + w*z = -30, 5*t = -4*z - 45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 + p**2 + 2*p**2 + (-2 + 3 - 2 + (-61 + 35 - 75)*(1 + 1 + 0))*(-2*p - 2*p**2 + 5*p - p).\nAnswer: 408*p**2 - 406*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v**0)**(-41)\/((v*v\/v**0)**27\/(v\/v**0)**43) assuming v is positive.\nAnswer: v**71","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 64 = -n. Which is smaller: n or 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3498314.638 + -293741.\nAnswer: -3792055.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - t**2 - 6*t**2)*(-9*t**2 - 9*t**2 + 3*t + 24*t**2).\nAnswer: -18*t**4 - 9*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*s - 12 + 11 + 1 in the form l + n*s and give n.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19*165\/1254)\/((-9)\/(-297)*9\/6).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {z: 1, p: 1, l: 2, w: 13}.\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.5? (a) 2 (b) -1 (c) -3\/4 (d) 2\/55 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1037 = 3*k, -6*k + 2*k = 20. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.224476 millennia in decades?\nAnswer: 922.4476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**3\/3 + g**2\/2 + 44*g - 2. Calculate the remainder when s(0) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.371 and 88365101.\nAnswer: 88365101.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let j = 30 - 31. Which is smaller: j or 2\/51?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k - 7. Let b(p) = -3 + 5 + 1 - p. Let r(d) = 9*b(d) + 4*l(d). What is r(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.78 and -0.093.\nAnswer: 0.687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -388 + 389 + (-4 - (-1 + 18))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -14*f + 268. Determine p(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 153 - 33 = 0. Let c be 14687\/342 - -17 - 5\/(-90). Calculate the highest common divisor of c and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -9.0447.\nAnswer: -2.0447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2798 > 2799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/((sqrt(49)*-2)\/sqrt(7)))\/(sqrt(8) + sqrt(800)\/sqrt(4) - sqrt(24)\/(sqrt(9)\/sqrt(3))))**2.\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 371570.3 days to nanoseconds.\nAnswer: 32103673920000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 68880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5903 is divided by 5897?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4 + 1*(-1 + -1)*-49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292773 times 1?\nAnswer: -1292773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10199, 2, -1, 1, -5, -19 in ascending order.\nAnswer: -10199, -19, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*o + 33*o. Suppose 544 = 4*s - o*r + 4*r, 3*s - 2*r = 433. Is s <= 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p + 9. Suppose 4*n - n = 15. Let d be l(n). Suppose -d*w + 8*w = -222. List the prime factors of w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 29 = -15*f. Let r = 130 - f. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -144.867752 from 7.\nAnswer: 151.867752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*c, -21832*r + 5*c - 39 = -21828*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h + 6. Let a(o) be the third derivative of -o**4\/24 + 21*o**3 - 17*o**2 + o. Let n(u) be the first derivative of a(u). What is 3*n(c) + y(c)?\nAnswer: -5*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*m + 59*m - 102*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.19293ug to kilograms.\nAnswer: 0.00000000819293","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + -219. Let m = 227.04 + w. Is 0.09 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 910\/(-39) + (-372)\/558.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 298426304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61504 or 2\/5?\nAnswer: 61504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z + 4*z - 2*z)*(-5 + 3 - 4*z**2 + 3*z**2).\nAnswer: -z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -5121100, -5121120, -5121140, -5121160, -5121180?\n\"Answer: -20*c - 5121080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -14*k + 208. Let n be k\/2*((-35)\/10 + 4). Solve 5*o - o = n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -505 + 498. Which is the closest to 0? (a) 0.1 (b) i (c) -3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - v**2. Let s be (0\/(-1))\/(3 - 1). Suppose s = -5*a + 15, 0*c - 5*c + 4*a - 22 = 0. Let d be f(c). Solve 0*m + d = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 4*l + 0*l - 7*l**3)*(21 - 12*l**2 - 21) + (-5*l**4 + 6*l**4 - 9*l**4)*(-4 + 1 + 6)*(3 - 3 + 2*l).\nAnswer: 36*l**5 - 24*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 + 3*r**3 - r**3 + 6*r**3 + 5*r**3 in the form k + p*r**3 + a*r + g*r**2 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i - 43*i = w - 11, -4*i + 3*w + 15 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**3 - s**2 + s**2 + (2 - 2 - 2*s)*(-2*s - 2*s**2 + 2*s) + (6*s - 6*s + s**3)*(0 - 1 + 0) in the form p*s**3 + r + h*s**2 + y*s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*m - 846 = 174 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (116\/2494)\/((-7878)\/(-4343))?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 * -0.2\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 46.6689 - 0.6689. Sort k, -1\/3, 1, -9, -1\/4.\nAnswer: -9, -1\/3, -1\/4, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - t + 27, -4*b + 4*t = -32 - 0. Solve b*i - 49 = -0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a6c64 + -d6?\nAnswer: a6b7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*f + 18*f - 2739 - 895 = -32*f for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7101\/36)\/(0 + (-1)\/(-4)). Let a = x + -523. What is the remainder when a is divided by 91?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 2*x**3\/3 - 128*x - 12. Let a(h) = 5*h**2 + 10*h. Determine c(a(l)).\nAnswer: 20*l**2 + 40*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2679*a**2 + 2686*a**2 - 5365*a**2 + 10*a**3.\nAnswer: 10*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/22))**(-1\/26)*j*j*j**21*j\/(j*j**(13\/5)))**(-34) assuming j is positive.\nAnswer: j**(-992103\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 416\/(-56)*49\/(-784)*7?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*a + 178 = -94*a. Solve 2*p = i + a, 3*i = -23*p + 26*p + 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/8*(-26)\/39*464\/(-1276)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/43 + 125\/1763. Suppose -3*j - 3 = 2*z - 14, -3*z = 2*j - 9. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*r + 12 = -62*r. Let s(k) = -1 - k + 12*k**2 - k**2 - r*k**2. Let d(a) = 3*a**2 - 4*a + 8. Let l(h) = -d(h) - 2*s(h). What is l(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 604 + -569. Solve -j - 5 = 2*b + 2*j, 5*j = 2*b - z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 310543197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 3*i - i + (-i - 1 + 1)*(-3 + 2 + 2))*(-1 + 1 - 8).\nAnswer: 24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 68*r + 402, l - 16*r - 16*r + 42 = -4*l - 42*r + 12*r for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + (-99)\/22)\/(133\/70 - 2)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**3 - 90254*t**2 + 1196 + 90254*t**2 to r*t + l*t**3 + g + c*t**2 and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 18726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1202121 (base 4) to base 13.\nAnswer: -2b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.266496 - 5.\nAnswer: -5.266496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3000 and 2550?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48342 to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (221 + 96 + 373 + 49)*(-3*x**2 + x**2 - 3*x**2).\nAnswer: -3695*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67950 and 1575?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4\/19 (b) 1\/7 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 5) + (-8 - -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 18. Let o = -9.1 - j. Let r = 0.1 + o. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -201 - 3?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 9) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0)**13*(v*v*v\/v**(-5))\/v*v**6*v\/(v\/(v\/(((v*v**(-6))\/v)\/v)))*v\/(v\/(v*v\/(v**(1\/8)*v)*v*v))*(v**0)**(21\/4) assuming v is positive.\nAnswer: v**(191\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*s - 4*o - 2 = -138*s + 52, 4 = 4*s - 2*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -5*b + 864. Is 36 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*q**5 - 20*q**4 + 401*q**3 + 9*q**2 - 2*q + 50912?\nAnswer: -1020*q**2 - 480*q + 2406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -1.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*1998609\nAnswer: 159888.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + m - v + 123 = 0, m = -2*v + 119. What are the prime factors of m?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 45. Let w(u) = -u + 19. What is the remainder when -3 - (2 + 1 + -20) is divided by w(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 658709 and 3860.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41987684561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 21*u - 15210. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13999440 by -6.\nAnswer: -2333240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170*n + 505*n - 168*n - 172*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 751, 722, 679, 616, 527, 406, 247, 44?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 + j + 1. Let m(w) = -1 - 6*w**3 - 7*w - 7*w**2 - 8 + 2 + 0*w. Calculate 2*m(p) + 14*q(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2193465 divided by -5\nAnswer: -438693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 84*w**3 + 0*w**2 + 0*w**2 + 6 - 61*w**3 + 10 as b*w**3 + f*w**2 + g*w + l and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, 1\/4, 0.05, -3 in descending order.\nAnswer: 3, 1\/4, 0.05, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2060 and 1310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-22)*2*1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -231, -224, -213, -198, -179, -156, -129?\n\"Answer: 2*t**2 + t - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16764\/312 + -54)\/((-30)\/65).\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g**2 + 306*g + 3231. Calculate o(-26).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -364, -2615, -8762, -20755, -40544, -70079, -111310, -166187?\n\"Answer: -325*i**3 + 2*i**2 + 18*i - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -1\/9, 1670 in decreasing order.\nAnswer: 1670, 2, -1\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 20 = 68. Suppose -2*y = 4*r + 2*y - m, r - 3*y = 8. Let d be ((-3)\/(-1) - r)*-2. Solve x - 9 = 4*g + 6, d*g + 16 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/3))\/(y*y*y*(y\/(y*y**(2\/31)))\/y*y)*(y**(-6))**(-11) assuming y is positive.\nAnswer: y**(5927\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 4*d**2 - 16*d - 17. Let y be x(5). Suppose -4 = 5*r - 7*r. Let 0 + 5\/4*b**r + b**y + 1\/2*b + 1\/4*b**4 = 0. Calculate b.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 6*y - 5. Let x be h(4). Let u = -3 + x. Let k(i) = 0 - i + 2*i + 0*i - 6 - i**2. What is k(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -22. Let b be (-6)\/27 + (-512)\/(-36). Suppose -4*z + 6 + b = 0. Solve 0 = g*d - z*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9))**(2\/13) assuming r is positive.\nAnswer: r**(4\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240 and 3016776?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 1, m: 4, u: 2}. What is prob of picking 1 m, 1 u, and 1 n?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k + 2*k + 0*k - 4*k - 3*k + 3*k + 0*k + 0*k - 2*k + (0 - 1 + 0)*(-4*k + 6*k - 3*k) - 2*k - 2 + 2 + 6*k - 5*k - 3*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 532237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17006 + -17006.000002985. Round z to 7 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(81)\/sqrt(3))**2 + 4 + -1 + (3*sqrt(9)*4)\/(sqrt(300) - (sqrt(300) + (sqrt(300) - (sqrt(300) - (2*sqrt(300) + sqrt(300)))))).\nAnswer: -2*sqrt(3)\/5 + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 1 - (-1125 - -1047)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28156, -56344, -84534, -112726, -140920?\n\"Answer: -u**2 - 28185*u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. What is the remainder when 31 is divided by (11\/(-2))\/(h\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 33*h**2 + 61*h - 15. Let x be v(-31). Let g(y) = y**2 - 3*y - 3. Let t be g(4). Put x, -1, t in increasing order.\nAnswer: -1, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 4*o + 16. Suppose -8 - 12 = 4*k. Let b(y) = 8*y + 33. Let z(f) = k*l(f) + 3*b(f). Differentiate z(v) wrt v.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*t = -6 + 18, 30 = 5*y - 2*t. Let s be 8\/2 + y\/(-2). Solve -4*q - 4 = 2*l, 5*q - s = -6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2810190.003 - -2794333. Let x = n + 15841. Let b = x + 16. What is b rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434844*b - 67*b**2 - 217421*b - 217423*b.\nAnswer: -67*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 271, 313, 201, -71, -509, -1119, -1907, -2879?\nAnswer: -4041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/6*((-1)\/(-1))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2585856 and 85248?\nAnswer: 7757568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 19*y**2 + 2*y + 2. Determine b(3).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -496, -895, -1436, -2107, -2896?\nAnswer: -3791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -78*g - 2433. Give n(-31).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3196 - 2084. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 3*g - 153, 0*p - 3*p - 160 = 4*g. Let s = -79 - p. Let j = s + 35. Solve 2*y + 4 = j for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7837313295 and -2.1894?\nAnswer: 7837313292.8106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19, 48, 93, 154, 231, 324, 433?\n\"Answer: 8*c**2 + 5*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -411\/5 less than -81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242*t = -261*t + 418. What is the lowest common multiple of 0\/(4*-1) + 96 and t?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**2 + 7. Let o(t) = 2*t**2 + 3. Let k(b) = 5*o(b) - 3*w(b). What is the derivative of k(u) wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -487*c**5\/60 + 112*c**2 + 168*c. Let p(f) be the first derivative of q(f). Let s(y) = y. Calculate p(s(r)).\nAnswer: -487*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -694 - -374. Let l = s - -319.999999954. What is l rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.95 + 0.05. What is the nearest to 0.3 in -0.1, -2, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.101 + -2.299. Let v = y - -1.9. Let j = -0.3 + 0.26. Which is the second smallest value? (a) -3 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7699593 to the nearest integer?\nAnswer: 2775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1014\/504)\/13 + 1\/(-4). What is the second smallest value in i, 0, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**2 - 658. Let f(q) = -20*q + 8. Give m(f(s)).\nAnswer: 40*s - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116774 is divided by 1668?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -125\/28? (a) 0 (b) -268 (c) 1\/3 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/93*-12*(-117)\/(-12)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 40. Is 30 greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326540110.\nAnswer: 2, 5, 13, 89, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 195897.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -55, -2\/7, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1379952 is divided by 56.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000494122 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.478? (a) -32271 (b) 0 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuhhcwuhh. What is prob of sequence wu?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-20) + 148\/5. Is k\/4 - 6\/4 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -947*-16401.\nAnswer: 15531747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 832*c = 964*c - 6072 for c.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 32*g = 0. Suppose -5*p = 25, 0 = 4*n - g*p - 2*p - 22. Calculate the remainder when 6 is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 417*d**2 - 4350*d + 8694*d - 4342*d in the form m*d + v*d**2 + u and give v.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/34 + -59\/102. Sort -5, g, -6 in decreasing order.\nAnswer: g, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**8\/20160 - h**7\/560 - h**6\/144 - h**5\/12 - 4*h**2. Let q(w) be the third derivative of z(w). Determine q(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 3019 + 187. Calculate the smallest common multiple of 8 and a.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*m + 3*b, -2*m + 4 = -3114*b + 3117*b for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 85 = d, 406 = -5*d + f + 3*f. Let j = d + -29. Is 36\/27*j\/(-4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**2\/11 - 9908*g\/11 + 17802\/11.\nAnswer: 2*(g - 989)*(5*g - 9)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1554\/777)\/(-1*(4\/2)\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3*m - 6 = 0, 0 = -3*t + 2*m - 16 + 24. What is the second derivative of -14*r**4 - 29*r**t + 12*r**4 - 188*r wrt r?\nAnswer: -372*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 66 + 4?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 209306935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 3*c**2 - 3*c**2 - 4*c + 4*c + 5*c**4 + (2*c**2 + 2*c**3 - 2*c**2)*(c + 1 - 1))*(-4*c - c + 6*c).\nAnswer: 6*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k**2 - 3*k - 10. Suppose 69*s + 12 = -4*f + 71*s, -4*f + 3*s - 14 = 0. Calculate g(f).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-1 - 2 + 1)*(-118 + 302 - 118)*(-3 - z + 3).\nAnswer: 132*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from yhhh?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.37 - 1.63. Sort -2\/3, q, 0.3.\nAnswer: q, -2\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 - 11 + m**2 + 11.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18238 is divided by 952.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47 - -47. Suppose 3*i + 3*i + 12 = l. Is 18 a factor of (1 + 0)*(2\/i - -19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h + 8. Let n(j) = -j**2 - 5*j - 9. Let g be n(-5). What is the remainder when l(g) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(-2*sqrt(1728)) + (-6*-2*sqrt(84))\/sqrt(12) - (sqrt(175) + 0 + sqrt(175)*-2 - (-3 + sqrt(847) + -1)))**2.\nAnswer: -671*sqrt(7)\/3 + 3160903\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/424 and -51\/53.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 11*g = -2990. Let r = 418 - g. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003079218394 rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10233 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/27 - (0 + 1)) + 2. Let 22\/9*w**2 - 2\/3*w**3 + o - 8\/3*w = 0. What is w?\nAnswer: 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.096 and 1?\nAnswer: 0.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1749, -6, 1, 186, -2.\nAnswer: -1749, -6, -2, 1, 186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 416279 and 561?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 726.\nAnswer: -2\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 37?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 22248 (c) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x - 1. Let w(z) = -8*z + 3. Suppose 3*d - 69 = 6*d. Let p = -12 - d. Let b(v) = p*j(v) + 4*w(v). What is b(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 8 = 0, 2*p - a = -305190 + 837846. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 29*l**2 + 2*l + 1. Let t be f(-2). Suppose 91 = -5*j - 239. Let m = t + j. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239048 is divided by 119438?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*w + 2*y, 134*w = 144*w + 2*y + 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28385 by -5677.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000065034 to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308, 298, 286, 272, 256, 238?\nAnswer: 218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1235 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 550.26 + -205.43. Round f to the nearest integer.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177520 divided by 35504\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4401, -34257, -115051, -272253, -531333, -917761, -1457007, -2174541?\n\"Answer: -4245*z**3 + z**2 - 144*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 3*j - 16 = 0. Suppose -x + 4*i - 5 = 0, j*x - 16 = -i + 15. Suppose -x*w + 6*w + 3 = 0. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*159\/6*(704\/(-21120))\/(1\/(-15)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 9*u - 2. Suppose -27*t = -3*t - 144. Let g(p) = -p. Give t*g(r) + v(r).\nAnswer: 3*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 39*v + 34*v + 98 = 0, 3*v - 66 = -2*r. Solve -r*d = 2*d - 190 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 0 - -1) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 0.3 (c) -5 (d) 226\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*s + 2*d + 9 = 0, -8 = -4*s + 4*d. Suppose -b = -s*b. Suppose b + 5 = -5*c. What is the third smallest value in c, -1\/3, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75701767.\nAnswer: 6287, 12041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35931 and 1176182?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kmmm when four letters picked without replacement from {m: 3, k: 8}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = 4*w - 3*y, 3*w = -3634*y + 3631*y - 30 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1590*r - 959*r + 1071*r.\nAnswer: 1702*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1165 = 6*s - 11*s. Let v = -234 - s. Which is the second biggest value? (a) v (b) -3 (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 377.\nAnswer: 5\/377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3 + 25*l + 2 + 15*l to the form c*l + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 3:12 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31.79 - 32. Let l = -0.55 - q. Round l to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -41*c**2 - 19*c + 192. Let h(i) = 29*i**2 + 13*i - 127. What is 7*h(y) + 5*r(y)?\nAnswer: -2*y**2 - 4*y + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-60) + (-4)\/(-10). Let q be 2\/(-10)*5\/2. Let o = i - q. Which is the third biggest value? (a) 5\/2 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j**2 + 0*j**2 - 3*j**2)*(-2*j + 0*j + 10*j)*(619 - 238*j - 304 - 314) in the form s*j**4 + u + b*j + i*j**2 + l*j**3 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, 590899, 1 in decreasing order.\nAnswer: 590899, 1, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 21 = 4*u, -2*a = -0*a - 4*u + 14. Let h be (51\/a)\/((-2)\/10). What is the units digit of (-1)\/(-3)*h\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 < 3775296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 151 = -i, 2*i - 64 - 54 = -4*x. What is the common denominator of (155\/(-25))\/((-28)\/x) and -25\/58?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2230, -1987, -1588, -1033, -322, 545, 1568?\nAnswer: 2747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a microsecond in nanoseconds?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 17 = k, 3*i - k + 19 = 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000056037 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 45. Let j = -23 + q. Solve -j*t + 6 + 14 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18612924*a**6 - 26694760*a**2?\nAnswer: 2233550880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1764 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s + 4. Let v be t(4). Let w(r) = r**3 + 6*r**2 + 4*r - 1. What are the prime factors of w(v)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -24*i + 515. Determine r(16).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 8192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + 2 + 15 + (-3 + -1 - 0) + -8.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 318.1113 millennia to months.\nAnswer: 3817335.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**3 - 2*n**2 - 181*n - 1436. Give y(-8).\nAnswer: 1932","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/(-15) + 122 + -127)*-5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:31 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 233, 2\/5, 0.2, 0.3, 3 in descending order.\nAnswer: 233, 3, 2\/5, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 0)*(47*v - 99*v + 36*v - 6).\nAnswer: -64*v - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 4*q**2 + 2*q - 1. Let p be s(2). Let k be ((-39)\/9)\/(1\/3). Let m = p + k. Are m and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 3*j - 2. Let t be i(-2). Suppose t = -6*r + 2*r + 32. What is the remainder when 14 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 34\/10 - (-8)\/(-20). Suppose 0 = 4*f - 5*v, a*f - 2*v = v + 3. Solve -f*t + 16 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 391*p\/2 - 56356.\nAnswer: (p - 193)*(p + 584)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3*v - 20 = 0. Suppose 4*p - 3 - 23 = -v*q, 0 = 5*q + 5*p - 25. Let j be q\/(-9)*(-6)\/(-26). What is the closest to 2 in j, -2\/11, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 268?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 13*b - 27. Let d(y) = 7*y - 14. Calculate -13*d(o) + 6*u(o).\nAnswer: -13*o + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 times -123.84?\nAnswer: 4334.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.013 + -4.123. What is the nearest to o in -3, -1\/55, 1\/4, -1?\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.118849um in millimeters?\nAnswer: 0.004118849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*l - 14 = 0, -5*j - 3*l + 5 = -20. Suppose 14 = j*t - t. Calculate the least common multiple of t and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 38222640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 2637*k**3.\nAnswer: 2637*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(250))\/(-2*sqrt(720) - sqrt(720) - sqrt(720) - sqrt(720)).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3034656 and 16962?\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (49956\/(-27150))\/((-4)\/10)?\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9379535 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: What is 8 (base 15) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8425a6a (base 11) in base 3?\nAnswer: -1000221122202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1660411022?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126427 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 3*j - 2*j + (2 - 5 + 1 + (3 - 2 + 0)*(3 - 7 + 3) + 2 + 0 + 0 - 2 + 1 + 3)*(0*j - 7*j - j) to the form h + p*j and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*f + 226*f = -7440. What is the highest common divisor of 248 and f?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12671\/3 - 4224. Which is the third smallest value? (a) -2\/11 (b) m (c) -3 (d) 7 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -15, 1\/6, -1.6, -4, 14.7, 0.1, 2\/5?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000300686513 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*o + 3*x, -38 = -3*o + 12*x - 16*x. Solve -7*l - o = -2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2737040 to the nearest integer?\nAnswer: 1654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8599 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*g = -37 - 189, 0 = -4*z + g + 276. List the prime factors of z.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 + 3*l + 30. List the prime factors of x(12).\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/13 - 144*y**4\/13 + 2942*y**3\/13 - 1512*y**2 + 16856*y\/13 = 0 for y.\nAnswer: 0, 1, 14, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**4\/3 + 1346*y**3\/3 + 26066*y**2\/3 + 158710*y\/3 + 103800 = 0.\nAnswer: -9, -5, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -4*f - 6*s + s, s = 5*f + 11 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7861 + -0.2139. Which is the closest to 1? (a) -2\/9 (b) -14 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 79 - 71 = 0. Suppose -q = -2*q + j. Suppose -3*b = -4*b + q. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 10:18 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15.1 + 174.77\nAnswer: 189.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 5*u - 2*u + (21 - 10 + 14)*(-u + 2 - 2))*(0 + 0 - u).\nAnswer: 26*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*d - 415*d - 975*d = 48240 for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*g + 4. Let x(n) = 3*n - n**3 + n - 2*n - g - 6*n**2. Is 14 a factor of x(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/2*(-2 + -8). Suppose 5*j - u = 0, -4*w + 3*j + 21 = 4*j. Let r = w + -3. Solve 5 = -3*g - r for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2\/9*w**5 - 14\/3*w - 20\/9 + 40\/9*w**3 + 8\/3*w**4 - 4\/9*w**2 = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 787867 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 264\/224 + (-3)\/7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(159\/(-51) - -3). Let c = f - -1315\/7. What is the second biggest value in 1, c, 0.4, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 134477593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -2241 + 9710. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/18)\/((-1)\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 749173848 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppblppplbbppbpbpbbl. What is prob of sequence blpb?\nAnswer: 63\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 140, 280, 476?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -2 (b) 0.14 (c) -4 (d) 1\/6 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2406 + 2905 = 171*z - 2251 + 1406 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.317549 times 0.6?\nAnswer: -0.1905294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**3 + k**2 + 5*k - 6. Let w be c(2). Differentiate 41 + n**3 - n**3 + w*n**4 - 2 with respect to n.\nAnswer: 160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2022 - -4?\nAnswer: -2014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -3. Calculate the common denominator of r\/18 + (-10)\/(-15) and ((-3)\/((-72)\/34))\/((-44)\/(-330)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/1 - (0 + -24). Suppose h - 2 = 4*r. Suppose -8 = -r*t + 22. Calculate the lowest common multiple of 22 and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27\/20 (b) -2\/11 (c) 0 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i. Let b(o) be the third derivative of -o**4\/24 - 6*o**2. Determine b(w(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16*40.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 16 = -65 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(117)*1 - sqrt(117)*-1*3)\/((sqrt(900) + -3*(1*sqrt(900) + sqrt(900)) + sqrt(900) + sqrt(900))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 380*w**2 + 9697*w + 418. What is j(24)?\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-11))\/(4\/(-28)) and (-164)\/(-6)*(-9)\/(-66).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 15, 20 = 5*f - 0*f + 2*r. Let u be 1 - -1 - (-4 + 2)\/(-2). Are u and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26500322?\nAnswer: 2, 59, 224579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -5*t**3 + 2*t**2 - 5*t + 5. What is u(2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -t + 3*h - 1160, -5396 = 5*t - 2*h. What is t rounded to the nearest one hundred?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i. Let x(s) = 8*s. Let h(m) = -5*x(m) + 6*z(m). Suppose -2*p = 2*v - p - 7, -22 = -2*v + 2*p. Let a(q) = -v*q - 3*q + 3*q. Calculate a(h(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = r - 4*v + 2, -5*r - v = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13980000 rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25917906 is divided by 12958951?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -5. What is the common denominator of 2\/60*(-410)\/k and (-5)\/(-42) + 4\/6?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3. Let s(w) = -w**2 - w + 3. Let q be s(i). Suppose 0*g = -q*g + 21. Calculate the greatest common factor of g and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 169.\nAnswer: -67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 20)*(151*g - 10*g - 29*g).\nAnswer: 2240*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 315 - 312. Solve -4*o = -7*o - h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/3 (b) -0.11 (c) -1.8 (d) -2 (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, m: 6, v: 12}. Give prob of sequence mm.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/300 + 206\/12. Suppose -q = 2*g - 20, 4*g - 2*g = 2*q - 34. Is q at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*v**3 - 15*v**3 - 3 + 3.\nAnswer: -212*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*12\/18)\/(1*14\/(-63)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let t(w) = 4*w. Let p(u) = 2*t(u) - 6*v(u). Let h(d) = 5*d - 5*d - 3*d. What is p(h(n))?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -41*c + 115. Is h(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1701804 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -207, -2154, -7389, -17556, -34299, -59262, -94089?\n\"Answer: -274*l**3 - 29*l + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1449*q**2 + 4*q + 4 - 720*q**2 - 727*q**2. Calculate z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27459449 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-4 + 10 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 616081.6ml?\nAnswer: 616.0816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -59, -55?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000181912 to seven dps.\nAnswer: 0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1817 in 1, -1, -4, 2\/27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 18 = -3*j + 19, 19 = j - 3*w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4639\/7 + -663. Which is the nearest to -1? (a) p (b) -0.16 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-520)\/(-256)) + (-6)\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 496 = -470. Round g to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 - -25 - (4 + 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1112160226 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -508*c**2. Let l(q) = -4*q**2. Give l(h(m)).\nAnswer: -1032256*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - 26 + 5 = 29*n, 64 = -4*q - 8*n for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/7160 and 87\/40.\nAnswer: 7160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -111 + -10a?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-3\/7)*h)*h**5\/h)**(4\/29) assuming h is positive.\nAnswer: h**(124\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a week in minutes?\nAnswer: 47880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 68 - 69. Let j(y) = -3740*y - 21. Is j(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**3 + u**2 + 2*u + 1. Let m(j) be the second derivative of -j**4\/12 + 5*j**3\/2 - 15*j**2\/2 + 14*j. Let z be m(14). Calculate f(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*x + 42 - 454, -3*u = -5*x + 519. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (215\/((-430000)\/32))\/(-3 - (-7 + 3))?\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 74*w**3 - 175*w**3 + 80*w**3 - 39*w**2 + 43*w**2 + 4*w. Let f(c) = 22*c**3 - 3*c**2 - 3*c. Calculate 4*f(j) + 3*k(j).\nAnswer: 25*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 356\/2*(15\/(-6) + 2). Let r = i + 99. Suppose d = g - r, 2*g + 5*d = 44 - 10. Calculate the lowest common multiple of 44 and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/35)\/(30\/49). Let h = 3\/5 - r. Let p be (1\/(-6))\/((-6)\/(-9)). Which is the third smallest value? (a) h (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 53 - 7493*p + 23)*(-p**2 - p**2 - p**2).\nAnswer: 22479*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 15. What is the derivative of -5*o**2 - 2 + 11 - b wrt o?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 223.\nAnswer: 2\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 1. Let u(q) = 3*q + q - 2*q. Let j be 26\/(-546)*-7*(2 + -5). Determine j*d(k) - u(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 0, -2, -1005?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6402230930?\nAnswer: 2, 5, 53, 1327, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559*a - 835*a - 243*a + 266*a.\nAnswer: -1371*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + 4. Solve 8*c + y = 6*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 18 = -3*u, m - 14 = 2*u - 7. Sort 0, -4, m, 123 in ascending order.\nAnswer: -4, m, 0, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 470, 1901, 4302, 7673, 12014, 17325?\nAnswer: 23606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -260 (base 13) to base 4.\nAnswer: -12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401948 is divided by 13858?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15856402 from 2.\nAnswer: -15856400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1836) + (sqrt(1836) - sqrt(1836)*-2*-4 - sqrt(1836)) + sqrt(1836))\/(-3*2*sqrt(3) - ((sqrt(24) + sqrt(6))\/sqrt(2) - sqrt(3))).\nAnswer: 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31459 = -45*h + 31279 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 8*a + 16. Let n be o(7). Solve -3*l - n = -4*r, 4*r - 5*r + 4*l = 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 0.023.\nAnswer: 0.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 15. Solve u*a - 4*a - 12 = 4*m, -3*m + 4*a - 9 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100 - -692?\nAnswer: 592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4543527?\nAnswer: 3, 19, 79, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -156, -158, -162, -168?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3*j = -11, 0 = -v - 5*j - 7 - 6. What is the third derivative of 15 + 17 - 32 + 14*s**4 - 5*s**v wrt s?\nAnswer: 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 13*m + 69. What is p(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q - 1. Suppose 0 = -2*t + p - 145, 3*t - 5*p = -24 - 204. Let m = t + 67. Let z(x) = 3*x + 1. Determine m*h(w) - 5*z(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let t be 42\/8 - (-4)\/(-16). Let b = 29 + t. Let l = 45 + 6. What is the greatest common factor of b and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-568)\/213)\/(3\/(18\/(-4)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 16*o - 181. Calculate q(17).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*j - 0*j - 278, -426 = -3*j + 3*y. Let s(v) = -v**3 + 37*v**2 - 38*v + 92. Let p be s(36). Calculate the highest common factor of j and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*r + 1\/2*r**2 - r**3 - 1\/2 + 1\/4*r**5 + 0*r**4.\nAnswer: (r - 1)**3*(r + 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623312599.\nAnswer: 7, 13, 17, 137, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2444003 + -14?\nAnswer: 2443767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and -0.04018?\nAnswer: 5.04018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11582015191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.52418 decades to centuries.\nAnswer: 5.352418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -227577 divided by 3\nAnswer: -75859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -82621 (b) 11 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n + 1 + 0 - 2*n. Let x be i(2). Suppose -5*r + 37 = l, -50*r + 9 = l - 49*r. What is the greatest common divisor of l and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/11, 1, -27, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 5159?\nAnswer: 10318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5218*y - 194977 - 26802 - 328932 = -6021*y for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.3845 and 5.\nAnswer: 2.6155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580889340?\nAnswer: 2, 3, 5, 71, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.566734 tonnes to milligrams.\nAnswer: 4566734000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a - 1. Let u(o) be the first derivative of o**2\/2 + 2*o - 3. Let b = -314 + 303. Give b*n(y) - 6*u(y).\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*u = -142*u + 20880000. What is u rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 125*s - 59. Is m(30) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.62 + 4.62. Which is the third biggest value? (a) -3 (b) -6\/7 (c) z (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162*l + 71*l + 71*l - 4 - 23*l**2 + 0 - 40*l**3 - 17*l**2 - 4*l**5 - 20*l**4.\nAnswer: -4*(l + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5, -2, 8446?\nAnswer: 8446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -72012 less than 9229.56?\nAnswer: 81241.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 take away -17?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85589 = 7*w - 14*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 252 + 81. Calculate the common denominator of (f\/66)\/(-3 + 3 - 3) and -27\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaahhaa. What is prob of sequence ah?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 7*k - 12 = 0. Let d = 0 + k. Let p = -7 - d. Sort 5, 1, p in descending order.\nAnswer: 5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -22. Suppose 5*q + u = 2*q. Let l be (-3 - (q + 2)) + -101998. Round l to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 12, k + 2*p + 3*p + 12 = 0. Let u = -5 + k. Which is smaller: u or 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*r**5 + 13*r**5 - 6*r**5 + (0*r**2 - r**3 + 0*r**2)*(0*r**2 - r**2 - r**2).\nAnswer: 25*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -7*v**2\/4 + 80*v + 23 = 0.\nAnswer: -2\/7, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003 times -0.1?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733467403?\nAnswer: 733467403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5ce + d?\nAnswer: 5db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103737.\nAnswer: 3, 151, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 453 = -3*a + 8*d, 2*a - 287 = -3*d. What is the remainder when a is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 546 and 26522076?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 919?\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - m**3 + m**2 - 2*m + 0*m**2 + 6*m**2 + 9. Determine f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 157307.22 months?\nAnswer: 13108.935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85898, -337256, -756186, -1342688, -2096762, -3018408?\nAnswer: -4107626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2239 divide 38120026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/2800 and -63\/4.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - (-1001)\/506)*(11 + -1). Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l**3 + l**3 + 0*l**3)*(4917 + 3899 + 7291 - 2536 - 2182) as f*l**3 + d*l + t + r*l**2 and give f.\nAnswer: -22778","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4375866?\nAnswer: 2, 3, 11, 66301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -30022 divided by -2\nAnswer: 15011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -621666*a**4 - 5*a**3 - 27433829 wrt a.\nAnswer: -2486664*a**3 - 15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 f, and 1 a when three letters picked without replacement from hqggaohoafqfooq?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2865834 a multiple of 727?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.3 (b) -0.3 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-65)\/10)\/(-13))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*v - 1248528 + 369425 - 280713 = 0. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -8, 1\/35, 1\/7, 51.\nAnswer: -8, 1\/35, 2\/17, 1\/7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 82, 5, 4 in increasing order.\nAnswer: 0, 2, 4, 5, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119821173*m**4 - m**2 - 38*m - 163806.\nAnswer: -2875708152*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 0*h**2 - h**3 - 2 + 3\/4*h**4 + 0*h. Factor c(w).\nAnswer: 3*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -23198804.\nAnswer: 3\/23198804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -394*p**3*q + 2*p**3 + 12*p**2 wrt q.\nAnswer: -394*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*b - 11. Suppose 2*g = b*g - 290000. Round g to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 90, 182, 276, 372, 470, 570?\n\"Answer: x**2 + 89*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/20*(-116)\/(-87)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1130ba + c?\nAnswer: 1130c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 228.6041 - -0.1959. Let d = f - 229. Which is the closest to 1\/2? (a) 2\/13 (b) 3\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vd when two letters picked without replacement from ximxndvn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 3\/5*x**3 + 27\/10*x**2 + 1\/20*x**4 + 51*x + 0. Factor f(q).\nAnswer: 3*(q + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-957)\/7018*33\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6654 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4 - 890*z**3 - 88672*z**2 + 1593728*z - 6610944 = 0 for z.\nAnswer: -269, -192, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-14) + (-16)\/(-7). Is (-11625)\/(-105) + t\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -569c5?\nAnswer: -569c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 181, 351, 521, 691, 861?\n\"Answer: 170*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 2*sqrt(19))**2 - (sqrt(57)\/sqrt(3) + -1)) + -3.\nAnswer: -13*sqrt(19) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, b: 5, x: 4}. What is prob of sequence nb?\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 403 divided by -140?\nAnswer: -403\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -8*u - 1. Let t be r(-2). Suppose -5 + t = 2*z. Let p(o) = o**2 + 18*o - 7. Let g be p(-19). Solve 2*i - z*i - g = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(3 + -4 + -2). What is the smallest common multiple of -3 - (h + 3 - 10) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11620 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -1664*f + 118. Determine n(0).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 181158755651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -4. Sort 1, y, 2 in increasing order.\nAnswer: y, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -2202021222?\nAnswer: -2202022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:19 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 5*d**2 + 3*d + 2. Let n be b(5). Let v be 1\/4 + (-1358)\/(-8). Let c be (1 + 2)*v\/15. Calculate the greatest common factor of n and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6072 and 4873815?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*p + 4*p - 7*p + (3*p - 9*p - 5*p)*(4 + 0 - 3))*(-2*p + p - 3*p).\nAnswer: 92*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1517 - -1436. Which is bigger: n or -239\/3?\nAnswer: -239\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 v when four letters picked without replacement from {v: 7, r: 2, z: 11}.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 82*z**4\/11 - 8*z**3\/11 - 2542*z**2\/11 + 2708*z\/11 - 240\/11 = 0. What is z?\nAnswer: -6, 4\/41, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 256178 and 638274?\nAnswer: 4342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/700 and 18\/25375.\nAnswer: 101500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15\/2 - -7. Let y = 0.32 - 0.02. What is the nearest to 0.2 in y, q, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 16640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*h - 18 - 5, q - 14 = -3*h. Let d(s) be the third derivative of -s**3\/6 + 5*s**2. Let j(a) = 3*a**2 + 3. Give q*j(u) - 3*d(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2775 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: Let c(u) = 25*u + 3. Let t be c(4). Let h be ((-157)\/3)\/(-3*6\/54). Let l = h - t. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 6*c. Suppose -3*r - 2*r + 30 = c. Suppose 4*a + o - r = 0, 2*o - 1 = a + 2*a. Solve 5*z - 5*v - 20 = 0, 5*z + 3*v + 3 = -a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172 - 168. Do y and -5\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 999122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1185, 1202, 1203, 1182, 1133, 1050?\n\"Answer: -n**3 - 2*n**2 + 30*n + 1158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -l + 3, -6*l - o + 4*o + 33 = 0. Solve -l*g + 7 = -3*q - 3*g, 4*q - 5*g = -21 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6 = 3. What is the smallest value in -1, n, -4\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7015\/1403*(-9)\/480.\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n - v, -3*n = -n + v - 4. Suppose -4*r + n = -6. Suppose 0*q = -r*q + 706. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v**3 + 27*v**2 + 72*v - 46. Give d(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14453, 28904, 43355, 57806, 72257?\nAnswer: 86708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 11 = -31 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z. Let v(g) = -5*g**2 + 4*g. Let f(h) = 39*h**2 - 33*h. Let q(l) = 4*f(l) + 33*v(l). What is q(x(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txt when three letters picked without replacement from {t: 11, x: 3}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4981)\/(-13185) + 11\/165.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 275\/40 - 0\/(-1) and (-1308)\/90*(0 - 15\/36).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + w = m - 141, -40 = -m + 5*w. What is the remainder when 415 is divided by m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of -11*b + 0*b**2 + 11\/12*b**4 + 0 - 1\/6*b**3. Find the second derivative of w(p) wrt p.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3 (b) 1\/4 (c) -13 (d) -2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/35, -0.2, -3\/4?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*p**3 + 40*p**3 - 4*p + 38*p**3 + (p + 2*p + p)*(-1 - 3*p**2 + 1) - 72 + 72 + 11*p**3 to n*p**3 + m*p**2 + x*p + o and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 89 and 2.09.\nAnswer: 91.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.166447, -4\/7, 15\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**4\/12 - 13*g. Let v(d) = 9*d**2. Let j(t) = -21*p(t) - 2*v(t). Let i(z) = -8*z**2. What is i(j(u))?\nAnswer: -72*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a*a**(-2\/9)*a*a**(-18)*a assuming a is positive.\nAnswer: a**(-128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 + 1. Let n be (6\/21 - 0)\/(72\/(-56)). Which is the nearest to i? (a) 0 (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, s: 1, m: 6, i: 1}. Give prob of picking 1 s and 1 m.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 7*i**2 + 2. Let l be r(-7). Let w(n) = n + 6 - n**3 + 10*n**2 - 6*n - l*n. Is w(9) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 853007.9 years?\nAnswer: 8530.079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-990)\/90 - 1\/(-1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/5 and 164409 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 13 = 7. Let j = 67 - 33. Suppose -i + j = i. Solve -2*w + 19 = a*x + 6, 0 = -5*x + 2*w + i for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/116 (b) 3653 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sa when two letters picked without replacement from {a: 2, s: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 + -4392246917?\nAnswer: -4392246782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllttllltllllllx. Give prob of picking 1 t and 3 l.\nAnswer: 429\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 divided by -616663.\nAnswer: 95\/616663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -157162\nAnswer: 3\/78581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 14*s + 12. Let w be j(-15). Is -3 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.229 + -0.029. Put p, 63, -3\/5 in decreasing order.\nAnswer: 63, p, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1050\/31523 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j = -42*j - 3*f - f + 3*f - 28, 0 = 2*j + 5*f + 122 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2167*j**3 - 6906*j**2.\nAnswer: 13002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*c + c + 2*c + (-1 + 0 + 0)*(-c + c + 2*c) + 10*c + 18*c + 16*c.\nAnswer: 39*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16865, 33729, 50593, 67457, 84321?\n\"Answer: 16864*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5518091.\nAnswer: 23, 29, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 656 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 4*g**2 - 135*g + 290. What is the tens digit of q(52)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b = 27*b - 4. Let t be (-11)\/((1\/b)\/(9\/9)). Calculate the remainder when (t\/6)\/((-25)\/(-525)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18906, 75434, 169648, 301548, 471134?\nAnswer: 678406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -2b38031?\nAnswer: 2b3802a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -173005.64 - -0.0663.\nAnswer: -173005.5737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14 + 6*s - s - 4*s. Let u be q(-12). Solve 7*m + 25 = u*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1617 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, p: 3, d: 6, u: 1, q: 1}. What is prob of picking 1 q and 1 d?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3235, 3236, 3237, 3238, 3239, 3240?\n\"Answer: g + 3234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 42*o - 45*o + 9, 0 = 3*f - 2*o + 23 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -a + 3*a. Suppose 8 = 2*r, a*w + r = -w + 46. What is the remainder when 26 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*-1*(-3 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, 450867, 1.\nAnswer: -4, 1, 14, 450867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/5 + 7663239*g - 76632378\/5.\nAnswer: -3*(g - 12772063)*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 180*t + 185*t + 7.\nAnswer: 5*t + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197292.\nAnswer: 2, 43, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/45586 and 87\/393760?\nAnswer: 390216160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-10)*12*1)\/(129\/430). Sort -4, 3, -2, 11, n in increasing order.\nAnswer: -4, -2, 3, n, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 5*l**2 - 3*l. Let i(s) = s**3 - 7*s**2 + s - 10. Let y be i(7). Let x be n(y). Let k = 8 + x. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of y**4\/24 - 343*y**3\/6 - 1381*y**2. Let z(b) = -2*b. Give o(z(h)).\nAnswer: -2*h - 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-50)\/(-6) - 2)*(-32 - -33). Suppose 3*d + 7 = 2*v, -5*v + 4*d = -2*v - 11. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.03 + -0.018. Let n = -2.048 - u. Let s = 0.039 - -2.961. Which is the nearest to s? (a) 2\/5 (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p. Suppose -4*d + 5*o = 19, -3*d + 7 = 3*o + 1. Put -5, p, d, 2 in increasing order.\nAnswer: -5, d, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -7*m. Suppose 9 = -4*v + 21. Let d(k) = -k + 3 - v + 0*k. Calculate d(z(i)).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 610 and 1159.\nAnswer: 11590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (115\/25 - 4)\/(3\/15). Suppose 0 = w*d - 22*s + 21*s - 2397, 0 = -2*d + 3*s + 1591. Calculate the greatest common factor of 32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + (-6)\/(-9))*-45. What are the prime factors of 6\/v - 83\/(-5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.87281613 less than -12?\nAnswer: -15.87281613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15732 and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2*sqrt(405) - ((1 + sqrt(405))*4 - sqrt(405))) + (0 + sqrt(405) + 4 + (sqrt(405) - (sqrt(405) - (sqrt(405)*2 + sqrt(405))*-1)))*3)**2.\nAnswer: -594*sqrt(5) + 49014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l**2. Let i(c) be the second derivative of 0*c**3 + 4*c + 0*c**2 - 1\/12*c**4 + 0. What is i(k(x))?\nAnswer: -64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 1, w: 5, q: 1, b: 1, y: 3}. Give prob of sequence gv.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 62. Let b(q) be the third derivative of -2*q**2 - 1\/36*q**4 + 0 - 1\/540*q**6 - 1\/90*q**5 + 0*q - 1\/27*q**r. Suppose b(z) = 0. What is z?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2184958 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2\/11, 8, 4397, -3.\nAnswer: -3, -0.1, 2\/11, 8, 4397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 4*z - 122 + 115, o + 5*z + 16 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*u**2 - 147*u - 4132 wrt u?\nAnswer: -16*u - 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/120 + 1295\/6660*(-46)\/14.\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*p = 8*p - 31668, -3*p = -2*d + 31684. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3 = 3*f, c + 27 = -2*c - 3*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 29 + 1. Let o be (-4)\/p + 4\/10. Suppose o*n = n - 11. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = 602 - 539. Which is the closest to 2? (a) f (b) -27 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t**(5\/2)\/t)\/t)\/t*t*t))\/t*t**(2\/19))**(9\/2) assuming t is positive.\nAnswer: t**(-477\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3, -3*v - 4*p + 244 + 192 = 0. Solve 0 = -21*y - 15*y + v for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (40 + 2 - 11)*(-2 + 6 - 3)*(0*a - 14*a + a)*(-39 + 19 + 15) as r*a + k and give r.\nAnswer: 2015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 11. Suppose 3*h - 5 = 2*t - 38, 0 = -2*h - 2*t - 22. Let q be i(h). Suppose w - 45 = -4*k - q*w, -5*k + 2*w = -40. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6064048 nanograms to milligrams.\nAnswer: 0.0000006064048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*i + 0*i = 28, 4*o + 600*i - 605*i - 70 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 3*b + 26, 7*b = 2*b + 3*g - 25 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527*d + 532*d - 2*u = 13, u = -4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34152347, -34152357, -34152367?\nAnswer: -34152377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 36206*z - 289642. Determine k(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b + 6*b - 3*b + (0 - 2 + 3)*(2*b + 0*b + 0*b) + 0*b + 0*b + 2*b)*(-1 + 0 - 1) in the form k*b + u and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7584)\/352 - -21)*15\/225?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1163 = -8*a + 269. What are the prime factors of a?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-10 - (-3 - 7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0*m**3 + 1\/840*m**7 + 7\/48*m**4 - 49*m**2 + 1\/48*m**6 + 23\/240*m**5 + 0 + 0*m. Factor x(y).\nAnswer: y*(y + 1)*(y + 2)*(y + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 14*f - 66. Let m(c) = 2*c**2 - 41*c + 177. Let y be m(6). Let u(x) = 5*x - 22. What is y*k(i) - 8*u(i)?\nAnswer: 2*i - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2605, 2371, 2137, 1903, 1669?\n\"Answer: -234*l + 2839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*((-161)\/21 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -302*l**2 + 611*l**2 + 679*l**2 + 3832*l**2 + 19*l**2.\nAnswer: 4839*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-5)*5 - (-1083 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - 5*h + 3*h)*((52*h + 48*h - 70*h)*(-2 + 3 - 3) - 1 + 1 - h + (6*h - 3*h - h)*(-3 + 5 - 3)).\nAnswer: 441*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17 and 2941.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48.05 - 46. Let k = 13.95 - f. Round k to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -386.99999658 + 387. What is k rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -324 (c) -280\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(2*(-2)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -325\/33 + 112\/11. Which is the nearest to -1? (a) 42 (b) g (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2210302 (base 5) to base 3\nAnswer: 1221101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4482764?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n + 19. Calculate l(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -170*a + 53. Is c(-3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 a when four letters picked without replacement from {a: 4, h: 5, u: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -12 + 28 - 8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.092, 2, 3?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4854282 and 3774?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = d - 2*p, -p - 3*p = -4*d + 720. Let a = 204 - 196. Suppose f - d = -a. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*p*r + 2929799*a*p - 21*a*r + 3*a + 403*r - 1 wrt p?\nAnswer: -2*a*r + 2929799*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 16 - 3*f - 4 - 7 as l*f + d and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*((z\/(z\/((z*z**(-8)*z)\/z)))\/z)\/z*z*z**(15\/2)*(z*z**13)\/z**0 assuming z is positive.\nAnswer: z**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.253 times -0.1\nAnswer: -0.0253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*h + 45419*h**3 + 3*h**2 - 101*h.\nAnswer: 45419*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -163 - 5?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 14*v**3 - 663*v**2 - 961*v + 25398. What is k(48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 565 + -3ac75?\nAnswer: -3a710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02967292 times -2.1?\nAnswer: -0.062313132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 31*n - 21 = 35*n, -5*n - 15 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 + 73 + 6*x - 200.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a century in months?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 0.31, -0.3, -5, -6?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 4 - 2 + 3 - 4.\nAnswer: 4*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 135 + 26 = y, -y + 4*d - 69 = 0. Let b = -87 - y. Suppose -b*m = -265 - 33. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073 times 400?\nAnswer: -29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + sqrt(2420)))**2.\nAnswer: -704*sqrt(5) + 9744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7211 + 897 + 670 = -27*x - 127*x for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -a - 6519*y + 6521*y, 5*y + 35 = -6*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 2:33 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5297385259?\nAnswer: 101, 52449359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.887 centimeters in millimeters?\nAnswer: 158.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36980 and 10660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12231234 and 1076964?\nAnswer: 171237276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3503 and 186.\nAnswer: 21018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*t**2 + 712 - 2307 + 872 + 723.\nAnswer: -17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/11 + 14*y**2\/11 + 16*y\/11 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n - 5. Determine i(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -34582 to the nearest one hundred.\nAnswer: -34600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**4\/5 - 1596*s**3\/5 - 212268*s**2\/5.\nAnswer: -3*s**2*(s + 266)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4577448*g**4 - g**2 + 21937*g - 12.\nAnswer: -54929376*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and (48\/108)\/((-1)\/(-27))?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (-3)\/((21\/(-8))\/7). Let a(u) = 3*u**2 + 6*u + 20. List the prime factors of a(j).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245185c (base 14) in base 9?\nAnswer: -35670625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-122)\/(-20) + -220 + 214?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i**4 + 3*i**3 - 3*i - 8. Let n(m) = 39*m - 41*m - 8 + 1 + 12*m**4 + 2*m**3. Let u(w) = 3*n(w) - 2*x(w). What is the derivative of u(v) wrt v?\nAnswer: 56*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*i + 224 = -1586, 3*f + 4*i + 1097 = 0. Let a = -344 - f. Solve a = -3*v, 4*l + 5*v + 12 = -9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 241.06704 months to decades.\nAnswer: 2.008892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 186 + -7. Suppose -3*d = -p + 32. Calculate the greatest common factor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (-1 + sqrt(85)\/sqrt(5) + sqrt(153)\/sqrt(9)*-6)*-4).\nAnswer: -1 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-3)\/2) - 1. Is (37 - 1) + 2 + s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**2 + 5*w**2 - w**2)*(-w + w - w) + 21543*w**2 + 430*w**3 - 21543*w**2 - 3.\nAnswer: 432*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minus 25809?\nAnswer: -25317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0579 rounded to 3 decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/5 in 48.7, -0.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 30102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*m - 146*m = 64 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233212021313 (base 4) to base 3.\nAnswer: 212110220021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 0 - -1*6. Suppose -9 = -3*o, o - 29 = -2*b - 10. Solve -g + b = -q - 2*q, -20 = -p*g + 5*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 34*n**2 - 364*n - 1176.\nAnswer: -(n + 6)*(n + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 57 + 92 = 2*c, -4*z = 1915*c - 1871 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 9533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3\/2, -12, -2\/15, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4 + 2 - j - 6*j**2 + 8*j**2. Suppose -4*p + 10 = p. What are the prime factors of g(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -712 (base 8) in base 12?\nAnswer: -322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 366401592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 135975?\nAnswer: 2\/135975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r + 2. What is the lowest common multiple of z(-2) and (-6)\/(-18) + 902\/66?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-3 + ((-36)\/8 - -6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3002 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5230874 to the power of 1\/2, to the nearest integer?\nAnswer: 2287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82952929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-12 + 1) - 15 - -2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*-4*(5 + -3 + sqrt(1377)*4 + sqrt(1377)))**2.\nAnswer: 11520*sqrt(17) + 2203451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*b - 7, l - 3*l - 4*b + 2 = 0. List the prime factors of 2 + -1 - 2*l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 5. What are the prime factors of (a\/(-2))\/(1\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 4*o - 80, 3*r + 64 = 8*r - 4*o. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/s*s**(-3))\/(s*(s*s\/(s*(s**(-4)\/s)\/s))\/s*s\/s**3) assuming s is positive.\nAnswer: s**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 244, 496, 760, 1036?\n\"Answer: 6*f**2 + 234*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476487 is divided by 106.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8255855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 170*r - 173*r + 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14450 - -14444. Which is the second smallest value? (a) 0.5 (b) r (c) 0.02 (d) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83.4 + -85.4. Put -4, x, -2\/5 in ascending order.\nAnswer: -4, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35.49999 + -11.500218. Let m = 0.059 + 46.941. Let y = m + k. What is y rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = 3*g - 0*g, -4*n + 12 = 4*g. Let d = 51 + -18. Solve 2*m - w + 6*w = d, n*m = -3*w + 27 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -89 + -4?\nAnswer: -8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h + 241. Let g be l(0). Suppose 3*t + 3*u = -822, -5*u = -2*t + 62 - 582. Let p = g - t. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + -38 - -1) + 0 + -3 + 12?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15\/a**9*(a*((a*(a\/(a**(-11\/5)\/a))\/a*a)\/a*a)\/a)\/(a*(a*a**6)\/a))**(-13\/4) assuming a is positive.\nAnswer: a**(-273\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 115?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -5031*b**2\/2 + 4140*b - 3446. Find the first derivative of y(h) wrt h.\nAnswer: -5031","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 3*s**2 - 3*s + 2. Let h(j) = -3*j**2 - 96*j - 177. Let o be h(-30). Determine w(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22880331 divided by 17?\nAnswer: 22880331\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r + 24. Let s = 8706 - 8710. Give a(s).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1705 and 440?\nAnswer: 13640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**6\/210 + 3*o**5\/140 - o**4\/84 - o**3\/14 + o**2\/7 + 12*o. Factor p(u).\nAnswer: -(u - 2)*(u - 1)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 170122278 and -25.74?\nAnswer: 170122303.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 512883 and 512883.\nAnswer: 512883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.374 > -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106, 281, 574, 1045, 1754, 2761?\nAnswer: 4126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 79\/2 of a day in hours?\nAnswer: 948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a gram in milligrams?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(2736)*3*3)**2*4.\nAnswer: 22161600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, a: 3, l: 2}. Give prob of sequence alq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2833*q - 2835*q + 17 = 5*a, -15 = -5*a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11739?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(4\/(-408)) + 3*1?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8358604853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(10)\/sqrt(2) - (sqrt(5) + ((sqrt(125) + 0)**2 - sqrt(5))).\nAnswer: -120 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*d + 115*d = 345*d - 113*d - 168 for d.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8833 and 244915?\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/383145837?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/17))**2)**3 assuming f is positive.\nAnswer: f**(6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -6\/11 (b) 1\/6 (c) -47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5291, -5199, -5107, -5015, -4923, -4831?\n\"Answer: 92*m - 5383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfrfwriwfifrrwfwrrui. Give prob of sequence fii.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*u + 302*u - 55*u + 434*u + 57232 = 0 for u.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a. Let k(h) = 4*h - 2. Calculate -k(q) + y(q).\nAnswer: -5*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 10:21 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 153 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -844403+-1250905.881\nAnswer: -2095308.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 take away -0.11?\nAnswer: 3.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnoocojnoocxsnccccc. What is prob of picking 1 s and 1 n?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 846.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + a = -4, 3*a = -124 + 112 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17720797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18.2 - -18. Let c(h) = -128*h**3 - h. Let j be c(-1). Suppose -2*x + 123 - j = 0. What is the biggest value in 4\/9, x, n?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -86. Let k = -27.9 + a. What is the closest to k in -2, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/44*1*-4. Which is the second smallest value? (a) 7 (b) m (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.1 + -65. Let n = m - -31. Are n and 5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(10)\/sqrt(80) - (sqrt(16)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 267*a**2*t**2 + 2*a**2 - 88*t wrt t.\nAnswer: 534*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -225*b - 1544*b + 2754*b + 4664*b to r*b + t and give r.\nAnswer: 5649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 2\/5, 1\/3, -16, -4 in decreasing order.\nAnswer: 2\/5, 1\/3, -1\/4, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/7)\/h**(-6))\/(h**(-1))**(-3\/10) assuming h is positive.\nAnswer: h**(429\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 4*i**2 + 4*i + 4. Let h(c) = 0*c + 3 + 3 + 6 - 8*c. Let z be h(2). Determine f(z).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5120 - 5120 - 3*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.3 + 7.6. Suppose -5 = -4*k + 3, 0 = -4*o - 3*k + 14. What is the biggest value in o, -2\/11, i?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + f**2 - f + 5. Let o = 22 + -22. Let j be c(o). Is (6 - j)\/((-4)\/(-268)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4 = s - 27, 0 = 4*s + 4*x - 44. What is the remainder when 109 is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 2. Let o = 9 - 0. Let w be (-6)\/9 - 24\/(-9). Solve -23 = -5*r - b*x, -4*x + o = w*r - 3 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 22*s + 2. Suppose -5*v - 5*o = 30, -v - 2 = 2*o + 6. Let d(i) = -44*i - 5. Let h(z) = v*d(z) - 9*m(z). Is h(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 + 185. What is the greatest common divisor of g and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**3*l - 23758*a**2*l + a**2 - 59033*a*l - 3*a wrt a?\nAnswer: 6*a*l - 47516*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 121501779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 6:57 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11059, -21690, -31891, -41662, -51003?\nAnswer: -59914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -235 + 345. Suppose 445 = d + k. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/91)\/((-28)\/49)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*203*6\/(-2). Suppose 3*i - v = i. What is the third derivative of -5*z**3 + 32*z**2 - 1218*z + i*z wrt z?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -128415.9624019 + 2?\nAnswer: -128413.9624019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135\/(-90)*2\/6 + 2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + -1. Let l = 211 + -210.7. What is the closest to o in l, 2, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z - 4. Let x be b(-4). Let a = 1 + x. Sort -3, 0.2, a in descending order.\nAnswer: a, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 19. Suppose 0 = -5*u - 2*s, 4*u - 4*s = u. What is the remainder when 36 is divided by h(u)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 618.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*u + 3*u**2 + 5*u)*(-329*u**2 + 394*u**2 - 898*u**2)*(0 + 3 - 1) as k*u**4 + d*u**3 + z + q*u**2 + o*u and give k.\nAnswer: -4998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36 - ((1 - -1) + -4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 755, 1506, 2257?\n\"Answer: 751*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyh when three letters picked without replacement from {k: 4, y: 3, w: 4, h: 4}.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-2\/5)*d))\/d)**(3\/4))**44*(d\/(d\/d**0))**(-2\/15)\/(d*d\/d**(-1))**36 assuming d is positive.\nAnswer: d**(-639\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-3) - 7 - 15. Let n be (-14)\/(-6) + 6\/b. Solve -n = -2*g + 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -16 - 6 - 15\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/10)\/(8\/3*(-384)\/640).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 18 = -5*a. Let d(o) = -o**2 + 7*o. Let u be d(a). Let y(r) = -r. What is y(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10272 and 35952?\nAnswer: 71904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - m. Let c(q) = q**3 + 8*q**2 + 1. Let x be c(-8). Let f = x - 0. What is the closest to f in m, 0.2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -770\/3 = -257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145 + 2214?\nAnswer: 2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.465 + -3.455. What is the closest to t in -4, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-2 - (8 - 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s + 3 - 1 - 5*s)*(-277 - 424 - 422)*(4*s + 2*s - 4*s) in the form m*s + x + f*s**2 and give m.\nAnswer: -4492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7950.612ug to nanograms.\nAnswer: 7950612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1883, -3890, -5877, -7850, -9815?\nAnswer: -11778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -17*r**4\/24 - 2*r**3\/3 + 38*r**2. Let g(d) = -d - 3. Let j be g(4). Is n(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30455 (base 6) to base 10\nAnswer: -4067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(sqrt(18)\/sqrt(6))*2 - ((sqrt(13) + sqrt(52))*-5 + sqrt(13) + 2)**2.\nAnswer: -2552 + 58*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 3*k**2 + k + 10. Let l be v(0). Calculate the greatest common divisor of l and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0\/14 - 3)*3*-57 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -725557 divided by -5\nAnswer: 725557\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 139. Give g(39).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 233 - 237. Suppose -5*k = -s*k + k. Solve -3 = 3*u - k*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 148262.\nAnswer: 444786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 17083 - 17135 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87273*l**2*z + 60*l*z + 2*l + 40*z - 1 wrt l.\nAnswer: 174546*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48048 and 4224?\nAnswer: 384384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18804773 is divided by 671.\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 2\/11, -2\/7, 1\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - 4.5. Let n = -5.5 - r. Let v = 0.13 + 0.27. What is the closest to 5 in v, 0, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-32*h + 16*h + 169*h)*(2*h + 2*h - h) - 6 - 2*h**2 + 6 + h**2 + h**2 - h**2)*(-h**2 + 0*h**2 - h**2).\nAnswer: -916*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 5*p + 1. Let z be s(-5). Suppose -z = 2*d - 5. Is 2\/(-4)*d*-62 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7 + (-276)\/42)*-1)\/((1200\/(-1820))\/2).\nAnswer: 13\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 37, 28, 5, -38, -107, -208?\n\"Answer: -w**3 - w**2 + w + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 48910 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -1409.34.\nAnswer: -1408.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 3*b + 67. Let y be d(-26). Suppose -1115 - y = -11*v. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pe when two letters picked without replacement from epppepfpefe?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 4*m**2 + 2. Let j(t) be the third derivative of -t**4\/12 + 19*t**2. Calculate 2*g(o) + 7*j(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 0, -131712 - 66842 = 2*p + 3*j. Let b = -67880 - p. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (11 - 9) - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -38, -86, -124, -146, -146, -118?\n\"Answer: g**3 - g**2 - 52*g + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2387, 4, -3, 451, -4 in decreasing order.\nAnswer: 2387, 451, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2272897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-266)\/(-380))\/(35\/20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2\/9 - 9748*y\/3 + 11877938 = 0. Calculate y.\nAnswer: 7311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + -1 + sqrt(1539) + -4 - sqrt(1539) - ((1 + sqrt(1539))*-1)**2 - (3 + (sqrt(1539) - (sqrt(1539) + 1*sqrt(1539) + 2) - sqrt(1539))**2))*-4.\nAnswer: 324*sqrt(19) + 30832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 216702 (base 8) in base 7?\nAnswer: 423164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 8:55 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, n: 3, k: 8}. What is prob of sequence nmm?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 75 = 2*n. Suppose 292 = -9*v + 1435. Let d = v - n. Calculate the remainder when 205 is divided by d.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*m + 2 + 100 - 130*m - 100 + (-2*m + 0*m + 0*m)*(-1 - 2 + 2))*(3*m + m - 5*m).\nAnswer: 126*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Work out 1364.4 + 0.08.\nAnswer: 1364.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*d - 11, -2*r + 4*d = -22 + 8. Suppose r*s - 44 = 3*s. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 0 + 65*q + 7\/6*q**3 + 13\/2*q**5 + 2*q**2 + 0*q**4. What is the second derivative of x(d) wrt d?\nAnswer: 780*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6194*a + 13162*a - 550472 for a.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/337, -3\/10, 0, 185.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4543 = 68*y - 15993. Suppose -11*k = -y + 225. Solve -7 = t - k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in -26, -3\/8, -4, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*g = 1 - 33, -3*m + g - 22 = 0. Is -7 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72969658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + (sqrt(12)\/sqrt(3)*-2*3)\/(sqrt(12)\/(sqrt(18)\/(sqrt(3) - sqrt(12)))).\nAnswer: -6 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -16. Suppose 3*b + 0*b - 27 = -4*p, 4*b + 2*p = m. Find the third derivative of 2*s**2 - s**6 + s**5 - 2*s**5 + s**b wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134932683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.6 + -46. Let g = 82 + -99.1. Let r = m - g. Round r to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319 is divided by 128?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 22\/3*6\/4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 - 354.2492165.\nAnswer: -354.3092165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228432, -456863, -685294, -913725, -1142156?\nAnswer: -1370587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.55956 rounded to 2 dps?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -110121102021221102?\nAnswer: 110121102021221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1.6, 43, -949?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 51229, 204921, 461075, 819691?\n\"Answer: 51231*y**2 - y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.4 + 22022?\nAnswer: 21883.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4122 + 5449. Calculate the remainder when w is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4\/3 (c) -35.35 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (23 + -20)\/(6\/8)*(2 + -1). Solve 3*q - 24 = 3*u, 17 - 29 = v*u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*o**3*w**2 + 26*o*w**2 - 9*w**2 + 568*w - 5 wrt o.\nAnswer: 249*o**2*w**2 + 26*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5008 = -2*o, -3*f = 4*o + 2941 + 2037. Calculate the common denominator of 15617\/f + 6 + 4\/14 and (-2)\/(1 + (-99)\/59).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.4. Let c = -3.6 - -7.9. Let p = 0.7 + c. Put -1\/3, p, y in ascending order.\nAnswer: -1\/3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -6, 1, 0.5.\nAnswer: -6, -0.4, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 2, 32 in increasing order.\nAnswer: -22, 2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -97 - -108. Suppose 220 = -3*h + 8*h. What is the greatest common divisor of m and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/15*(-1 + 957\/132)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90*(-126)\/(-315) + 38.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2475, -2491, -2511, -2535, -2563, -2595, -2631?\nAnswer: -2671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/5477 - 5485\/21908. Sort 2\/87, u, -11.\nAnswer: -11, u, 2\/87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 37094, 37141, 37188, 37235, 37282, 37329?\n\"Answer: 47*a + 37047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 1265497459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.01633 to 2 decimal places.\nAnswer: -25.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66561 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, -1, -13, 3, 2.\nAnswer: -15, -13, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2346 and 816.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**33*t)\/t)\/((t**(2\/3)\/t)\/t))**12 assuming t is positive.\nAnswer: t**412","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240) - (-1*1*sqrt(240) - sqrt(240) - sqrt(240)))\/sqrt(5).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2270375 + 33\nAnswer: -2270342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 92102.73 hours in seconds?\nAnswer: 331569828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -s + 5*s + 18, -3*s - 4 = n. Let k = n - -8. Let v = -10 - k. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11\/21 + -19\/21. Find the common denominator of t and 2 + -6 + (-82)\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -980*p**3 + 2344*p**3 + 818*p**3 + (-p**2 + 4*p**3 + p**2)*(-1 - 2 + 4).\nAnswer: 2186*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -209610, -419503, -629396, -839289, -1049182?\nAnswer: -1259075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s - s + 2*s + (4 - 2 + 0)*(0*s - 3*s + 0*s))*(-5 - 2 + 3) to r + b*s and give b.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522628932 to the power of 1\/3, to the nearest integer?\nAnswer: 1150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 2*g - 3. Let u(s) = 3*s**2 + 4*s - 7. What is -5*f(y) + 3*u(y)?\nAnswer: -y**2 + 2*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of z**4 + 30057*z**3 + 154530*z**2.\nAnswer: 24*z + 180342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**3 + 3*c**3 + 2 + 8*c**3 + 39*c.\nAnswer: -3*c**3 + 39*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -1573*v**3 + 19*v**2 - 3. Let w(u) = -7*u**2 + 1. Give -o(c) - 3*w(c).\nAnswer: 1573*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1202*i + 10617 = -2175 - 430 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 2 + (-3 - (2 - 4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1283739.\nAnswer: 3, 427913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 7:35 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 261304788883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 9 - 1 + 19*k to f + c*k and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1 (b) -3\/13 (c) 0.162 (d) -1 (e) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -621*u**2 - 92*u - 92. Let y(v) = 20*v**2 + 3*v + 3. Calculate 3*b(r) + 92*y(r).\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.534 and -0.181.\nAnswer: -0.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 2:49 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-196)\/(-50) + 96\/1200. Sort -5, m, 4, -8 in decreasing order.\nAnswer: m, 4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((((-3)\/(-1))\/(-3))\/(70\/392))\/((-1314)\/365)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 8*t + 18. Let y(r) = -4*r - 8. Let f(x) = -4*u(x) - 9*y(x). Let q(h) be the second derivative of 29*h**3\/6 + h. Calculate q(f(p)).\nAnswer: 116*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110011000 (base 2) to base 9.\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219502 is divided by 7080.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9d5122 (base 15) to base 16.\nAnswer: 729680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*f - 665320 + 716533 = 0 for f.\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**4 + 15*q**3 + 2017*q**2 wrt q.\nAnswer: 48*q + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57276128 to the nearest integer?\nAnswer: 7568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088)*1 - sqrt(1088))**2 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 6*l**3 - 2*l**3)*(l - 1 + 1) + (l**2 + l**2 - l**2)*(0*l**2 - l**2 + 0*l**2) - 7*l**4 + 2*l**4 - 4*l**4.\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 1321*g**6\/60 + 349*g**4\/4 + 1676*g**2. Find the second derivative of o(h) wrt h.\nAnswer: 15852*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 420 = -4*a, -4*a = n + 3*n - 832. Let o = 326 - n. Let p = -44 + o. Does 16 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 9.95. Let a = 1.05 + q. What is the nearest to 3 in -5, -0.4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*u**2 - 3*u**3 + 8*u**3 + 705*u + 167*u**2 - 330*u**2.\nAnswer: 5*u**3 + 705*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3520)*-2)\/((-6*sqrt(66)\/sqrt(2))\/sqrt(3)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)\/sqrt(539))**2 + (sqrt(637) + -5)**2)*4.\nAnswer: -280*sqrt(13) + 129804\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 1713*q. Let t(r) = -8*r**2. Calculate t(k(j)).\nAnswer: -23474952*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -7014 minus 1226764179?\nAnswer: -1226771193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 9) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -3\/2*z**5 + 2*z - 27 - 15*z**4 + 1\/6*z**6 + 0*z**2 - 100\/3*z**3. Find u such that n(u) = 0.\nAnswer: -2, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165182, 660737, 1486662, 2642957, 4129622, 5946657, 8094062?\nAnswer: 10571837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (2 + -20) - 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 2 - 4 + 0*w)*(5 - 5 + 2*w) - 1630*w**2 + 2207*w**2 - 6580*w**2 + (3 - 3 - w)*(-3*w + 2*w - w) to f*w + l*w**2 + i and give l.\nAnswer: -5999","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + 0*j**2 - 4*j**2 - 5*j**2 + 3*j**4 + 5*j as f + d*j + x*j**3 + l*j**4 + w*j**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306263112?\nAnswer: 2, 3, 41, 547, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3105 and 405?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33788433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.018994 rounded to three dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -242*a**2 + 3*a - 4. Calculate u(1).\nAnswer: -243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21 + -19)\/(2\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 5*w - w - 2*w + (0*w - w + 3*w + (-w + 3*w - w)*(-2 + 2 + 1))*((-2*w + 0*w + 7*w)*(0 - 1 - 1) - 15*w - 11*w + 55*w).\nAnswer: 55*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 3. Let t(p) = 2*p - 10. Let g be t(3). Let v = -4 - -3.94. Which is the nearest to 0? (a) i (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1408, -3985, -8288, -14323, -22096, -31613?\n\"Answer: -k**3 - 857*k**2 + k - 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*r + 818 - 799 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**4 - 5*v**4 + v**4)*(8 - 15 - 6) + (0*v**3 + 7*v**3 - v**3)*(-15*v + 10*v - 12*v).\nAnswer: -76*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33488 and 29302?\nAnswer: 234416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 11440.\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5563.57 nanometers?\nAnswer: 0.000556357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 52*q**4 + 596*q**3 + 129*q**2 + 271*q + 167285 wrt q.\nAnswer: 624*q**2 + 3576*q + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, a: 6, u: 5, q: 1, v: 1, s: 1}. Give prob of sequence sa.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*t**2 + 656*t**2 - 147*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*f + 20 = -50*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.13, 19, -99\/1763?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -439062338 by 3718.\nAnswer: -118091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -325 - 194. Let o(w) = w**2 + 4*w + 4. Calculate the remainder when p\/(-21) - (-4)\/14 is divided by o(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.15 + -14.15. Let x = -145.49 + 145.89. Which is the third smallest value? (a) y (b) 0.3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21252921 is divided by 163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.17, 0, 2.3, 5?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2. Let u(t) be the second derivative of -t**3\/2 + 74*t - 1. Give o(u(j)).\nAnswer: -63*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-7)\/(j\/j**(-1\/10)))\/(j*j*(j*j**(-1\/3)*j)\/j)**14)**43 assuming j is positive.\nAnswer: j**(-58609\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -40685, -162752, -366199, -651026?\n\"Answer: -40690*b**2 + 3*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z**3 + 2*z**3 - 4*z**3)*(-3*z - 3 + 3 + (6*z - 3*z - 2*z)*(-1 + 1 - 2)) to the form o*z**2 + h + m*z + n*z**4 + r*z**3 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191220000 = 11*p - 5*p. Round p to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 6*s - 104, 464*h - 462*h = s + 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 144 + 1 + 5 - -5. Let r = -29 + l. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 104 = -3*c. Suppose -30 = -9*l + 51. What is the remainder when c is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.5 and 0.2.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccgngnccccoccccn. Give prob of sequence ccn.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 11 = x, 3*w - 8 = 4*x + 6. Suppose w*a + 912 = 3*a. Does 20 divide a\/(-10) + 20\/(-50)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/15*(-3)\/3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-171)\/171)\/((-1)\/17).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and -71.\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 18, 3*s + 2757 = -4*u + 2736. Solve -5*d + 15 = -b, -2*d = 2*b - s*b - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*l - 2*b - 198, 304 = 3*l + 5*b. Calculate the lowest common multiple of 234 and l.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2471663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 137137 - ((-6)\/3 + 2). Let b = -792863 - q. What is b rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -787 + 786. What is the nearest to j in 0, -0.4, 0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000510154866 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from skaattadass?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002931013 to 7 decimal places.\nAnswer: 0.0000293","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -316*l + 55*l - 114*l + 15750 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -7*g + 2*g - 3*h, -3 = -3*h. Suppose -g*f - 2 = -7. What is the lowest common multiple of 3*3 + (3 - 1) and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 6*z + 4. Let w be a(0). Suppose 12 = 3*s, -w*k - 4*s + 216 = -144. Solve 82*d + 8 = k*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 102. What is the nearest to w in -1, -2, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t**2 - 6*t**2 - 10 + 14 - 6 in the form z*t + j*t**2 + a and give j.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 3*m + 46 = 0, -u + 8*m - 20 = 3*m. Let n be 4\/(-20)*-58 - u\/25. What is the greatest common factor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 230 - 260 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/7*14\/4. Let q = 22 + d. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y**2 - 2*y)*(-2*y**3 - y**3 + 5*y**3) + 0*y**5 - 477*y**5 - 341*y**5 - 659*y**5.\nAnswer: -1481*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(16\/(-3)) - (-98)\/(-56). What is the remainder when 57 is divided by y\/(-2)*(-3 - -3 - -6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -29.2287?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (5 - (5 - 3)) - (114 - 56).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 22*c + 7. Let h(b) = 65*b + 20. Let u(l) = -6*h(l) + 17*n(l). Give u(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1291535862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 - 1 - (-80)\/(-64)*-4. Which is the fourth smallest value? (a) -2 (b) 1 (c) 4 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -205101*h**2 + 8*h - 102287216 wrt h?\nAnswer: -410202*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20076 is divided by 162.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - y - 1. Suppose 5*a = 3*p - 23, 3*p - 11 = 4*a - 2*a. Let w(q) be the first derivative of -q**3 + q**2\/2 + 2*q + 14. What is p*h(g) + w(g)?\nAnswer: -4*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7\/57 + 4\/19. Let r = -2 + -2. Which is the third smallest value? (a) r (b) z (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1047841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -104 + 120. Suppose q*c - 1993 = 2455. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252 by 3.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a + 77. Let b be x(18). Suppose -2*o - 4*g = -136, 3*g + 2*g + b = 0. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*q - 38*q - 103 + 1075 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n**2. Let l(m) be the third derivative of -m**8\/4032 + m**5\/60 + 5*m**2. Let k(r) be the third derivative of l(r). Calculate k(x(y)).\nAnswer: -45*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 8:35 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u - 9. Let m be d(-5). Let z(r) = 21 - 10 - 16*r + 22 + r**2. List the prime factors of z(m).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4\/17 - 45\/119. Which is the nearest to -0.029? (a) j (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2035 = -z + 2028 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4 + (-1 + 2 + 1)*(3 - 2 - 2) + 0 - 3 - 1)*(-3*c + 2*c + 3*c).\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5214 and -0.1?\nAnswer: 521.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1) - 28\/(-20). Let u be (4\/30)\/((-8)\/(-10)). Let j = 3.024 - 0.024. Put u, j, m in descending order.\nAnswer: j, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -769, -2820, -5747, -9148, -12621, -15764?\nAnswer: -18175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3*f - 72 = 0, -4 = -f - 0*f. Suppose 0 = -9*o + g*o - 255. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.15 + 88.15. Let i = -86 + x. Let p = -3\/85 - -54\/85. Put 2\/13, p, i in increasing order.\nAnswer: i, 2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*z + 3*z + 0*z)*(-3 + 3 + 1) - 13*z - 36*z + 13*z - 3*z - 4 + 4)*(4 + 1 - 14).\nAnswer: 369*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 5*y**2 + 6*y + 7. What is the tens digit of u(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -401*n - 30 = -404*n. What is the lowest common multiple of 421 and n?\nAnswer: 4210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2558 = 216*g + 6298 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4\/13 + 19\/65. Let p be 5\/5 - 13 - 55062\/(-4617). What is the third smallest value in c, -1\/3, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -463800 by -3865.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 849877 and 59931.\nAnswer: 909808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 15*c**2 + 55*c - 14. Calculate i(10).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5994 (base 10) to base 11.\nAnswer: 455a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3237 is divided by 1332?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by (-116)\/(-40) - (0 - (-1)\/(-10))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-1 + -1) - -9. Let q = a + -2. Suppose -p + q = -0*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of -433*b**6\/6 - b**3\/3 + 34*b**2 - 6*b + 620. What is the second derivative of p(d) wrt d?\nAnswer: -8660*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -178, 0.01762, -0.2 in decreasing order.\nAnswer: 0.01762, -0.2, -178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.015 to one decimal place.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 169886029 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 10:31 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30*(-1 - (160 + 3))\/(-5)?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d + 1. Let q be z(-1). Let h = 12 - 8. Suppose 2*n - 8 = -2*m, -4*m + 0*m + h = 2*n. Calculate the greatest common divisor of q and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 6824 = -b + 42057, 4*o = -3*b + 46984. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8869, 8482, 8061, 7588, 7045?\nAnswer: 6414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17397 is divided by 17382.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -642, -2, 0, -7, 4 in increasing order.\nAnswer: -642, -7, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 10 = 2*d. Suppose 3*o = -o. Let g(u) = 2*u**2 + u + 3. Let z be g(o). Solve s + 5 = d*p - s, 0 = -3*p - z*s - 18 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 311656 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 15*k**2 + 4100*k - 18300. Let b(x) = -x**2 - 292*x + 1307. Let t(g) = -85*b(g) - 6*c(g). Determine u, given that t(u) = 0.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 222 - 192. Let o = -13 + 17. Suppose -3*x - 8 = -p, 0*x = 4*p + o*x - 80. Which is greater: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-240)\/24)\/(0 + 2) + 12. Let x = -23 - -45. Suppose c = -3*p + x. Put -5, 9, p in descending order.\nAnswer: 9, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 2. Let v be o(-8). Suppose 3*z - v = z. Suppose -x + 5 = 3*i - 13, z*i = 5. Solve 2*l - 7*l - x = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**4 - 2*f**3 + 7134*f + 1299655?\nAnswer: -4*f**3 - 6*f**2 + 7134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396115 to the power of 1\/2, to the nearest integer?\nAnswer: 1843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**2 + 22*q - 7. Determine o(6).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*u, o - 124 = 2*u + 203. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 times -5?\nAnswer: -0.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4561 and 2536.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 17 = 5*m, -2*h - 3*m = 3*h - 12. Suppose 141 = -h*t + 6*t. Find the common denominator of t and 38\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/823 or 0?\nAnswer: 4\/823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 34*t**2 - 16*t + 39. What is the units digit of l(35)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5190841, 5190892, 5190943, 5190994, 5191045, 5191096?\nAnswer: 5191147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**5\/5 - 106*r**4\/5 + 6*r**3\/5 + 322*r**2\/5 + 212*r\/5 = 0.\nAnswer: -53, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**3 + n**2 - n. Let p be z(1). Let x(v) = 4*v + 1. Let w be x(p). Suppose 0 = 4*i + 1 - w. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - (5 - (47 - 4))) + -57.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - 110. Let h = j + 4. Let t = -34.99999916 - h. What is t rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 - 2*n - 6. What is the remainder when j(-2) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 + 7\/(-4). Let a(f) = 0*f - 4 + 4 - 16*f. Let q(g) = -3*g. Let m(d) = 6*a(d) - 33*q(d). Calculate m(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/39807683 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102 - 2*m - 9*m + 4*m - m + 4*m wrt m?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 36 + 33 = 0. What is the biggest value in -1, x, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a millimeter in micrometers?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 1. Give b(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence veee when four letters picked without replacement from eevvvveeeveeeeeeeeee.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-10)*(1\/(259\/37))\/((-2)\/2)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-39 - 3)*(-6)\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6395 is divided by 265.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by 71098.\nAnswer: 77\/71098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3012417.\nAnswer: 3, 17, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 0*b**2 - 3*b**2)*(12 - 12 + 15*b) + 2*b**2 + 6*b - 2 + 6*b**3 + 0*b**3 - 4*b**3.\nAnswer: -58*b**3 + 2*b**2 + 6*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqeh when four letters picked without replacement from hqhhhheeehheeeh?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + s**4 + 3*s**4 + (4 - 4 - 2*s**2)*(12*s + 10*s - 4*s)*(-2*s + s + 3*s).\nAnswer: -70*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 233017213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 23*l**2 + 2*l - 44. Let z be q(23). Let -42*c**z - 137*c**4 + 4*c**5 - 6*c**2 + 55*c**4 + 16*c + 52*c**3 + 58*c**4 = 0. Calculate c.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(1\/2))\/k)**(2\/25)*k\/(k\/(((k*k**(10\/7)\/k)\/k)\/k))*k*k\/((k*k*k\/k**1)\/k*k))**(-19) assuming k is positive.\nAnswer: k**(1767\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o**2 - 2*o + 1. Let n(s) = -3*s - 3. Let p be n(-2). Let z be ((-6)\/p - -2) + 1. Determine f(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -1714260.\nAnswer: -1714260, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i + 4*i = 104. Solve -4*u + 33 = -5*n, 5*u + i + 6 = -4*n for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 9379*t**3 - 6*t**2 - t + 107. Let r(u) = 9378*u**3 - 7*u**2 + 106. Let f(s) = 2*l(s) - 3*r(s). Let w be f(-8). Round w to the nearest 100000.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 + 145. Let k be ((-54)\/w)\/(3\/(-10)). Differentiate 2 + k + 5 - 5*z**2 with respect to z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/16 - 0)\/((-5)\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 + 14*g - 5. Let o be x(6). Suppose -3*z + o = -5. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 810, 803, 796, 789?\n\"Answer: -7*p + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(1 - 3 + 4)*(-16 + 3*v**3 + 16).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*x = -41*x - 30. Suppose 2 = -2*h + x. Suppose 1500 = h*c + 4*k, -2*k - 293 = -c + 88. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n - 882*n - 2148*n.\nAnswer: -2997*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 19*p**3 - 2*p - 2. Let f be c(2). Suppose 4*m = s - 23 - 39, -2*s + f = 3*m. What is the remainder when 207 is divided by s?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 (base 7) in base 4?\nAnswer: -2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4934*q**2 - 16073*q**2 + 85524*q**2.\nAnswer: 74385*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3964406804 to the nearest integer?\nAnswer: 62964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -31) + -2 + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 517 + -531.95. Let n = 15 + p. Let z be (-30)\/(-56) + 4\/(-14). Sort 3\/5, n, z in ascending order.\nAnswer: n, z, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-20)\/(-5)*((-280)\/144)\/35.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 7103 - 7217 + 2*t + 4*t.\nAnswer: 3*t - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 + 1)*(-2*i + 3*i - 2*i) - 55009 + 182*i + 55009.\nAnswer: 172*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 11 = -4*n, -5 + 18 = -z + 4*n. Let c be (-6 + 7)*(4 - z). Suppose c*y - 24 - 66 = 0. Calculate the remainder when 34 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/173*(-4)\/(-396)*-33?\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 7:57 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 7*j**2 - 12*j - 4. Let f be y(-8). Suppose -2*c - f = -4*c. What is the remainder when (-1)\/(1 + c\/(-13)) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/1884 and 67\/40497.\nAnswer: 25432116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*v - 0*n + 23, -1 = 2*v + n. Let o = -10 - -11. Suppose -y + o = v. Which is greater: y or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 10 = -60. Suppose -y = t - 3*t. Let x = -3 + 2. Which is the closest to -0.2? (a) x (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*-2*(-3 + sqrt(108)))**2*2*1 + -1.\nAnswer: -41472*sqrt(3) + 134783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, n: 1, z: 5, g: 1, j: 4, k: 3}. Give prob of sequence kngj.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6118 - 0.2118. Which is the closest to p? (a) -0.3 (b) 2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5592 divided by 3?\nAnswer: 1864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 60 (b) -0.01 (c) -1014.37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 - -45.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + m**2. Let f(s) be the first derivative of s**3\/3 - 3*s + 1642. Calculate f(v) - 2*k(v).\nAnswer: -2*v**3 - v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 414834 a multiple of 498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/3 (b) 0.018 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6545\/(-168) + 355 + -316.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8312\/135 or 62?\nAnswer: 8312\/135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -5*j + 25, -5*n + 32 = 4*j - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5798433829 to the nearest integer?\nAnswer: 1797","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 290474 - 196791. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 7610791?\nAnswer: 22832373","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 1895*p - 1885*p. Suppose i - 6 + p = 0. Solve -i*v = -2*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 8 + 0 - 3. Let l be n(-5). Solve l = -8*b + 4*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 9 = -3*k, n + 6 = 2*k + 6*n. Let y(h) = 35*h - 212. Suppose 5*m + 17 - 52 = 0. Let d be y(m). Calculate the highest common factor of k and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -121.63 + 1.63. Let q = s + 118. Which is the closest to 1\/3? (a) q (b) -0.1 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let s be (-2)\/(-4) + (-87)\/(-6). Let g(x) = -4*x + 64. Let v be g(s). Calculate the greatest common factor of v and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 5*s**4\/4 + 5*s**3\/3 - 5*s**2\/2 - 13*s. Let w(g) = 0. What is g?\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -6 (c) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7187019 is divided by 240?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -138*y + 4132 - 130 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -204.89 and 0.5.\nAnswer: -102.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2064261?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 1434366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*d = -i - 19, 5*d - 9 = 3*i. Suppose 4*r - 7 = 1. Solve -r*h = -i - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, 4, 6291?\nAnswer: 6291","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 52?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r - 68. Let n be m(21). Let g(d) = -4*d**3 - 8*d**2 + 2*d + 37. What is the tens digit of g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -148*s**2 + 207*s + 25. Let j(p) = 152*p**2 - 209*p - 29. Let h(a) = 7*b(a) + 6*j(a). Find the second derivative of h(q) wrt q.\nAnswer: -248","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 13*s = 5*g, -3*s + 30 = -5*g. Which is the closest to -0.26? (a) s (b) -1\/12 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -183.3 to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17070*h*l**3 + 4*h*l**2 + h*l + 1454*h + 2*l + 5 wrt l.\nAnswer: -102420*h*l + 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 12*z + 81. Let h be n(-12). What is the tens digit of 2130\/(-9)*(3 + h\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -37.7. Let s = j - -36.81. Let x = 0.01 - s. Which is the nearest to -0.1? (a) x (b) -1\/5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v + 2*v - 3*v + (5 + 0 - 4)*(0 + 0 + v) - 68*v + 71*v - 67*v - 2 - v + 2.\nAnswer: -63*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1945 is divided by 327.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.28 + -0.55. Let z = o - 0.9. Let k = z + 0.07. Which is the smallest value? (a) -3 (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 92*r**2. Let c(n) = -95*n**2. Let v(m) = -4*c(m) - 6*t(m). Let h(b) = -b**2. Calculate h(v(y)).\nAnswer: -29584*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1580515*o**4 + 1385739*o.\nAnswer: -18966180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (0 - (3 + 7 - 7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 6*v**3 - 9*v**2 + 11*v. Let t(u) = 5*u**3 - 9*u**2 + 11*u + 1. Let y(l) = 4*a(l) - 5*t(l). Determine y(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*h + 3761 - 3631 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 10 = 0. Let g = -12 - -27. Let i = 16 - g. Sort -5, a, i in increasing order.\nAnswer: -5, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 31 or 1178\/37?\nAnswer: 1178\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-1\/4)*x*x*x\/((x\/(x**13*x))\/x) assuming x is positive.\nAnswer: x**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 0*w**4 + 0 - 5\/3*w**3 + 1\/30*w**5 + 1\/2*w**2 + 11*w. Let i(q) be the first derivative of z(q). Differentiate i(v) wrt v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-168)\/49)\/6)\/((-4)\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46816 and 15114176.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 bigger than -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12a40 (base 14) to base 13.\nAnswer: -17b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 5*w + 1. Let y be p(4). List the prime factors of y\/(-5) + 16\/40.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/(-35) - (-2)\/7. Let g = -23.56 + 24. Let q = g - 0.5. Which is the biggest value? (a) i (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and (-313)\/(-2) + 490\/(-140)?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -79. Suppose -9*t = -264 - x. Suppose 64 = d - t. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.3 + -44.2. Which is smaller: k or -38\/13?\nAnswer: -38\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 3*k + 0*k + 9 = 0, -11*k - 13*k + 40 = -19*k for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.1, 4, 2647\/3?\nAnswer: 2647\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**9\/216 - z**6\/45 + 7*z**3\/3 - 20*z. Let b(c) be the second derivative of x(c). Find the third derivative of b(m) wrt m.\nAnswer: -840*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407636 divided by 4?\nAnswer: 101909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 1597*p**4\/2 + 5440*p - 8580. Differentiate u(l) with respect to l.\nAnswer: 9582*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290 = 45*i + 520. What is the thousands digit of (i + 65)*29\/2*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieepepegi. Give prob of picking 4 e.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ius when three letters picked without replacement from jsfffjujjujjftujiujs.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22462 is divided by 3208.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 229?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -127*s. Let t(n) = 3*n. What is i(t(h))?\nAnswer: -381*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -203, -1\/6, 3\/7, 0.4, -14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 138 + -134. Suppose 0 = d - 2*o - 11, -d + 2*o + 3*o + 23 = 0. Is d > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 9*b**2 + b - 1. Suppose -10*v + 27*v + 153 = 0. Calculate i(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -945, 1, -3, -6, -5, -59, 2 in decreasing order.\nAnswer: 2, 1, -3, -5, -6, -59, -945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z = 5*z + 45*z - 17085. What is the remainder when 14870 is divided by z?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 152, -0.1, -16074, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 73789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1452 divided by 5.\nAnswer: 1452\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 5*j**2 + 14*j + 25. Calculate f(-5).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505368689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + m - 20 = 0, 70 = 5*k - 4*m + 3*m. Let a = k - 9. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.9 + -0.9. Which is the nearest to 1\/2? (a) -0.7 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 11:13 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.963 - 0.063. Let g = 11 - o. What is the second smallest value in 0.3, g, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1877241563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 15*a**2. Let b(z) = 10*z**2. Determine g(b(c)).\nAnswer: 1500*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 8) + -293 + 296 + 87\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*h**2 + 4*h**2 + 18*h**4 - 3*h**2 - 14*h**2 wrt h.\nAnswer: 432*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26220046 <= 26220041?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/8 + (-2)\/(-2). Suppose -3*k + m*k = 0. Suppose 5*g - 2*b + 4*b - 82 = 0, k = 2*g - 5*b - 27. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1929160593?\nAnswer: 3, 1657, 129361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*j - 32 = -135*j. Let c(o) = 7*o**2 + 44*o - 19. Let i be c(-7). Solve 0 = -j*t + i for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 3*z + 20. Let r(l) = 4*l**3 + l**2 + l - 2. Let q be r(2). Suppose -5*j = -0*y + y + 12, -2*y + 2*j + q = 0. Solve -z*b = 12 + y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*w - 24*w + 68. Suppose -k + 5*t = -255 - w, 0 = 2*k - 4*t - 658. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3645844.771 - 3647495. Let z = h - -1651. Round z to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 22, -1\/13, 15\/2?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29973862 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2.36. Let m = t + 0.36. What is the second biggest value in -4, m, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - i. Let z(d) = -7*d**3 + d**2 - 4*d - 1. Let o(n) = 3*u(n) - z(n). Determine o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359101\/2189 greater than 163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4 + 788*g**3 - 6208*g**2 + 12352*g = 0 for g.\nAnswer: 0, 4, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25353 and 153?\nAnswer: 3879009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1205.3 + 1094. Let y = -111 - d. Let s = 2.5 + -2. Is y smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6761.\nAnswer: 6761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) -30 (c) -0.02847\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 13*p - 28 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 - 86316*i**2\/5 - 1862612964*i\/5.\nAnswer: -i*(i + 43158)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11256361184.2 + -735.\nAnswer: 11256360449.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -z + 1170, i + 965 = 5*i - 5*z. What are the prime factors of i?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80 = 3132*d - 3127*d + 5*q, -5*d = 2*q - 44 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3491 to the nearest 10.\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from voosvvvdvsvvpoxvvdpo.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28871 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z + 2*z - 7*z)*(z - 3*z**2 - z)*(1 - 3 + 0).\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -907 - -902. What is the smallest value in 2, 60, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221\/120 - 2\/48.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*(-3)\/6)\/(3\/3). Let l(n) = 19*n. Determine l(r).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116116 is divided by 58055.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f - -154de0?\nAnswer: 154dc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.628 + -3.6925. What is c rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -5.1. Let s = 3041.62 + -3042. What is the smallest value in j, 3\/8, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 24*k**2 - 9*k + 1. Let y(h) = 13*h**2 - 5*h + 1. Determine -3*c(u) + 5*y(u).\nAnswer: -7*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**7\/1260 + x**6\/240 - x**5\/360 - x**4\/48 + x**3\/18 + 9*x**2. Factor n(j).\nAnswer: -(j - 2)*(j - 1)**2*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/5 + 139*k**4\/5 + 5058*k**3\/5 + 78286*k**2\/5 + 549757*k\/5 + 1430247\/5.\nAnswer: (k + 7)*(k + 13)**3*(k + 93)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199.2539ml to litres.\nAnswer: 0.1992539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001375015 rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 49*a*p**3*t + 21*a*p**3 + 4*a*p**2 + 9*a*t + 17*t + 15 wrt t.\nAnswer: 49*a*p**3 + 9*a + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 26*b**2 - 20*b + 16. Let d(s) = 3 - s + 7*s**2 - 2*s**2 - 5*s + 2*s. Let i(t) = 16*d(t) - 3*r(t). Determine g, given that i(g) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34)\/sqrt(2))**2 + sqrt(17) + sqrt(17) + -3)*5*-5 - (sqrt(68) - (sqrt(68) + sqrt(68)*1*4))\/(-3*sqrt(16)).\nAnswer: -350 - 152*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00389278 rounded to four dps?\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6208333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4935, -4888, -4831, -4758, -4663, -4540, -4383, -4186?\n\"Answer: o**3 - o**2 + 43*o - 4978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1377.00297 minutes to weeks.\nAnswer: 0.1366074375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1718.4 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p - 8 - 3 + 11. Let m(l) = 0*l + 0*l - 4*l. Calculate m(u(n)).\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k**2 - 91*k + 91*k)*(-9*k - 3*k + 9*k - 34) as h*k**3 + j*k + r*k**2 + i and give r.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 25 = c. Suppose 0 = -7*j - 452 + 522. Solve -c*v - j = -10*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3202495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3*h = 0, 0*h = 5*h + 25. Let z = 21 - m. Find the second derivative of -2*p - z*p**3 + 3*p**3 + 0*p**3 wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9076 - -36087\/4. Let m = 1156919\/80 - 72049\/5. Let f = y + m. Calculate the common denominator of 77\/2 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20110100120 (base 3) to base 14.\nAnswer: -3446c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.722 + 0.29. Let s = 0.429055 + p. Round s to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 30 = 2. Let z be ((-2)\/(-3))\/(y\/84). Differentiate 5*h - 3*h - 5*h + z with respect to h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/101430 and -59\/327240?\nAnswer: 368799480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-22898.29\nAnswer: -22898.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 212 = -7*t, 61263*t - 61261*t = 62 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000193428253 rounded to six dps?\nAnswer: 0.000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-29 + 12)*12\/(-2). Suppose -z*r = -107*r + 20. Solve r*x = 6 - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15576?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 8 + -10 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*p + 2290 = -9*p - 4635 - 7061 for p.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -88 and 13569?\nAnswer: -1194072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3476 by 869.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -51 + 105\/2. Which is the second smallest value? (a) -14 (b) p (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07 - -3.07. Let q = v + -2.5. Let y = 9 + -25\/3. Which is the biggest value? (a) 2\/9 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 4. Suppose -f*j = -3*i + 23, 5*j + 20 = 5*i - 10. Suppose 0 = 2*q + 3 - i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -5, -19, 7, -3\/4 in decreasing order.\nAnswer: 7, 0.1, -3\/4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3372.94 + 278589.06. Let z = -281963.49987 + y. Let u = z - -1.5. Round u to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5314 divided by 5314?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.2 or 0.002?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xr when two letters picked without replacement from xrr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 3*i - 3. Suppose 2*c = -0*c + u - 7, 0 = 4*c + 4*u + 20. Calculate b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1231866 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*i - 41, 232 = 4*z + 2*i + 18. Let f be (-13 - -3)*(-2)\/4. Suppose -f*v - 6 + z = 0. Is 10 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27, 48, 65, 78, 87?\n\"Answer: -2*g**2 + 27*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + 1 + 0)**2 - (4 + (2*sqrt(448))**2).\nAnswer: -1347 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -134643 (base 9) in base 4?\nAnswer: -110003331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7151 is divided by 610.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 201522 (base 7) to base 5\nAnswer: 2043333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -25.9?\nAnswer: 129.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 1629.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3874*v + 8261*v + 16 - 16.\nAnswer: 4387*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -558555\/122416 + 2\/7651. Calculate the common denominator of -41\/3320 and m.\nAnswer: 6640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z = 35. Let x be (0 + -1)*(-12)\/4 + -3. Suppose -4*c + g + 2*g + 39 = 0, -4*g - 20 = x. What is the lowest common multiple of c and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 + -10. Suppose 0 = -4*z - 16, 2*d + z + 3*z - 76 = s. Let b = -32 + d. Is 14 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/2*(-20)\/(-5). Suppose -6*i + t*i + 28 = 0. Let s = -1 + i. Solve 1 - s = 5*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = n + 4*o - 16, -2*o = -n - 8. Suppose 0 = -n*m + 3*m - 2*f - 2618, -5*f = 20. Does 24 divide m\/36 + (-1)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qlyq when four letters picked without replacement from yyyqlllyqyiqlqylyiy.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2*12\/(-4)*4*7\/(-189)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {e: 2, a: 4, i: 2, h: 1, w: 5}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/353182603 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146, -296, -448, -602, -758?\nAnswer: -916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 3\/4, 2, 65, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -444, -438, -428, -414, -396, -374, -348?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 5:08 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 5*m + 0*m**2 - 2*m**2)*(16*m + 58*m + 4*m) in the form h*m**2 + l*m**3 + n*m + z and give h.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -675 - -1345. Let i = w + -668. Solve 3*z = i*z - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -0.07, 0.07, -106?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + sqrt(1573) - sqrt(1573)))**2 - (sqrt(65)\/(sqrt(5)*-1) + (sqrt(91) - 2*sqrt(91))\/sqrt(7))**2.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 19*b + 10. Let h(x) = -15*x - 8. Let a(j) = 4*c(j) + 5*h(j). Let d(n) = 8*n - 11. Determine a(d(y)).\nAnswer: 8*y - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 3045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 436*m = 428*m - 9600. Let l be (4\/(-8))\/(10\/m). Calculate the highest common divisor of 8 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-651)\/(-15) + (5 - (-22)\/(-5)). Suppose 0 = 2*i - a - 60. Let v = i - -36. Calculate the greatest common factor of v and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1452 + -1442. Let u(z) = -z**3 + 9*z**2 + 21*z - 87. Calculate the remainder when u(l) is divided by (-1)\/((-4)\/(-3))*-16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 2)*(-w + 3 - 3 + 0*w - w + 2*w + (-3 + 3 + 5)*(2*w + 1 - 1)).\nAnswer: -10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448339106.\nAnswer: 2, 224169553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452 - 7*o + 5*o**3 + 4*o + 3*o.\nAnswer: 5*o**3 - 452","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**3 + 0*i**3 + i**3 - 3*i**3 + i**3 + 4*i**3 + (2*i + 0*i - i)*(-3*i**2 + i**2 + i**2) + (-2*i + 5*i - 5*i)*(74 - 74 - 54*i**2).\nAnswer: 106*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/20))**(-4)*q\/q**(-1\/25)*q*q*q**(5\/3) assuming q is positive.\nAnswer: q**(68\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -31, -51, -75?\n\"Answer: -2*b**2 - 10*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)\/(m*m**(-1)))\/((m\/m**(2\/3))\/((m**(-3\/2)*m)\/m*m)))**33 assuming m is positive.\nAnswer: m**(-385\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/2747252 and 67\/12.\nAnswer: 8241756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 594, 777, 998, 1269?\nAnswer: 1602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**3 - 4*p**2 + p + 8. Let h be w(3). Let b(s) = 3*s**2 - 137*s + h*s. Let q(n) be the third derivative of -n**4\/12 + n**2. Determine b(q(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 42659, 170606, 383843, 682370?\n\"Answer: 42645*d**2 + 12*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1254.308613 + -1.5\nAnswer: 1252.808613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44623049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/9)*v)**(18\/7)*(v\/((v**1*v)\/v))**13)**(-1) assuming v is positive.\nAnswer: v**(-40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 4 (c) 0.5 (d) -25 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-45)\/(-1) + 9 + -4. Let y(f) = h - 20 - 4*f + 15 - 15. Let s be y(7). Put 0.3, 3, s in descending order.\nAnswer: 3, s, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 12195 = -456351. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + t**2 + 4*t. Let b be o(3). Let q be 45\/(-6)*(-8)\/b. Let u = q - -16. What is the greatest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + -1. Suppose -a + 7 = 4*z - 15, 19 = -3*a + 5*z. Let q be (a + 1)*(-1 + 2). What is the biggest value in k, q, -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - 71) + -8 + 2 + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6588914 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3911742 and 3911742.\nAnswer: 3911742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qae when three letters picked without replacement from {e: 3, y: 1, q: 1, a: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -321*g + 21*g + 3600. Let u(y) = y**3 - 14*y**2 + 25*y + 11. Give u(g).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 30\/(-14) + 2 + 0. Let t = 71 + -69. Sort t, h, -4.\nAnswer: -4, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 0 - (4 + -1). Suppose h*l + 3*l + 15 = 0, z - l - 9 = 0. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 155806 and 22617?\nAnswer: 1402254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1166*r - 827602 + 815942 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 657 - 658. Sort c, -2, 74.\nAnswer: -2, c, 74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Let g = 1.8 + -4.8. Let y = g - x. Which is smaller: 2\/9 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(243) - (sqrt(243)*1 + sqrt(243) + 0))*1 - (5*sqrt(528) - sqrt(33))\/(sqrt(539) - (sqrt(539)*1 + sqrt(539)))) + 4)**2.\nAnswer: 1760*sqrt(3)\/7 + 145984\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1660370884 to the power of 1\/3, to the nearest integer?\nAnswer: 1184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)\/sqrt(5)*-4)\/(-5*sqrt(12)\/sqrt(3)) + 5)**2 + 0.\nAnswer: 8*sqrt(5) + 141\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -748889 > -8237774\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, a: 15}. What is prob of picking 3 l?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -35*u**2 - 124*u + 2730. Let b(i) = -135*i**2 - 495*i + 10920. Let v(p) = -10*b(p) + 39*c(p). Differentiate v(k) with respect to k.\nAnswer: -30*k + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2202768.4738078 take away 2?\nAnswer: 2202766.4738078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242)*-2*-5 - sqrt(242)*-2*6)**2 + -6*(sqrt(128) + sqrt(128)*-1 + -2).\nAnswer: 117140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 94 = 2*t, -4*t + 78*s = t - 1602 - 1772 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 20 + -4 + 3 + 3. Let z = h + -23. Let x = z + -4. Sort -6, x, 0, -1.\nAnswer: -6, x, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 + 11*l - 1. Suppose x = 2*a - 0 - 15, 0 = -a + x + 5. Let m be t(a). Let r = 152 + m. List the prime factors of r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5604 + 27700. List the prime factors of m.\nAnswer: 2, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 28 = f. Let t = f + 22. Let i(h) = -2*h + 5. Let w(k) = -3*k + 8. Suppose -3*j - 5 = -2*j. Calculate j*w(s) + t*i(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j = 40*j - 65 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, -27, -52, -87?\n\"Answer: -5*n**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -4\/3*t + 1\/12*t**4 - 1\/6*t**2 + 4\/9*t**3 - 4. Find w such that k(w) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p - 3*p - 1 - p**3 + p - 2*p**2. Is g(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072 - 51278*m + 1072.\nAnswer: -51278*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2))**(1\/13))**(-8\/11)\/((n\/(n\/n**(-6)))\/((n\/(n\/(n\/(n**(2\/11)*n*n))))\/n))**17 assuming n is positive.\nAnswer: n**(9290\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(8)\/sqrt(4) + sqrt(98) + (sqrt(98) + sqrt(98) + 0 - sqrt(98))**2.\nAnswer: 6*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3*i - 28 = 0. Let x = -5 + i. Solve 4*h = 3*w - 4, h - x = -6 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 15*g**5 - 8871*g**4 + 1071696*g**3 + 12415020*g**2 - 5136912*g = 0.\nAnswer: -11, 0, 2\/5, 188, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:41 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/820 or 1?\nAnswer: -9\/820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*m + 3*m. Calculate the smallest common multiple of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-16)\/(-5) + 1\/(-5))*1. Solve m - 4 = 0, z + z - 8 = -v*m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from {c: 2, d: 1, g: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + -4 - 1)*(3 + -3). Suppose -5*j - 10 = x, -4*j = -5*u - 5*j + 29613. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 - p - 1. Let m(f) = -3*f**3 - 3*f**2 + 5*f + 4. Suppose -5*k + 1 = 26. What is k*o(s) - m(s)?\nAnswer: -2*s**3 - 2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - t = -2, 0 = 4*l - 3*t + 10 - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/42 and -24\/11.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27994812 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - -1.5. Which is the closest to 0.1? (a) 4 (b) y (c) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 6*n + 2. Let p(j) = -72*j + 15*j + 1 + 16*j + 42*j. Suppose -3*c + 2*x = -7 + 31, -c = 4*x - 6. Calculate c*p(s) + 2*i(s).\nAnswer: 6*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -55 - -208?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6207064.\nAnswer: 2, 257, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 4 (c) -5.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1 + -6 + 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -525305 (base 8) to base 14.\nAnswer: -479ad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(27\/1764) + -2 + 4. Calculate the highest common divisor of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/5 - 5233728*k\/5 + 41870016\/5.\nAnswer: -3*(k - 8)*(k + 1744584)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -5)*(-2)\/3. Let i(f) = -f**3 + 2*f**2 - 2*f + 4. Let u be i(3). Suppose 5*q - 2*l - 23 = -5, 4*l + 8 = -4*q. Sort r, u, q in increasing order.\nAnswer: u, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 156*m**3 - 1864*m**2 + 5520*m + 288.\nAnswer: 4*(m - 6)**2*(39*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkdpydwd. Give prob of sequence ydd.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -634*r**3 + 813 wrt r?\nAnswer: -1902*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 26404*n - 7733. Is t(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16000 >= 16002?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/4 - 1)*2\/3. Solve 0 = 4*p - s + 4, -r*p + 5*s - 20 = -0*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5 - 15 = 0, -t + 2330392 = 3*x. Suppose 6*r - 8*r = -t. Suppose -265202 = q - r. Round q to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 2*j**3 - 128*j**3 - 4989*j**3.\nAnswer: -5115*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/6 and 71\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((-1*sqrt(132)*-2 - sqrt(132))\/(sqrt(6) + sqrt(6) + (sqrt(12)*-1)\/sqrt(2)))\/((sqrt(720) + sqrt(720) + sqrt(720)*-1)\/(sqrt(10) + sqrt(160)*2)))**2.\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/7 (b) -1\/14 (c) 152\/7 (d) -0.4 (e) 3\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**4\/24 + 7*o**3\/6 - 11*o**2. Let u be a(-5). Suppose -74 = -u*c - 4*d, -c + 3*d = -d - 67. Is c less than or equal to 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**7)\/r**(1\/2)*r**5*r*((r*r**(1\/3)*r)\/r)\/r assuming r is positive.\nAnswer: r**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - 20\/(-8). Suppose 0*n + t*n = 351. Calculate the common denominator of -119\/10 and (-1 - 1) + n\/24.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0054607 * 191\nAnswer: 1.0429937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43238249.\nAnswer: 67, 645347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1854 and -1861 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**6\/120 - h**5\/10 + 7*h**4\/12 - 41*h**3\/6 - 60*h**2 - 2. List the prime factors of a(9).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.77118 to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/36 and 65\/1173308.\nAnswer: 10559772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oww when three letters picked without replacement from {o: 1, w: 5, x: 7}.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -595 - -1.\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5652, 5661, 5682, 5721, 5784, 5877, 6006, 6177?\n\"Answer: j**3 + 2*j + 5649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 20*s**2 - 73*s - 28. Let r be g(-23). Calculate the remainder when 23 is divided by (32\/r)\/(((-2)\/(-2))\/26).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4069483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -160380, -641565, -1443526, -2566257, -4009752, -5774005, -7859010?\n\"Answer: b**3 - 160394*b**2 - 10*b + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68e6d (base 15) in base 6?\nAnswer: 11054151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*k = -3*v - 15107, 2*v - k = 30186. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23272335 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llhgllhlooohhhoonn. What is prob of picking 2 o?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v - 20. Let d be t(-8). Find the second derivative of -27*r + d*r**3 - 13*r**3 + 28*r wrt r.\nAnswer: -54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 717 and 177.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85878.38nm to micrometers.\nAnswer: 85.87838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 21 = 5*u. Suppose 5*i + 2*q = -0 + 6, 2*i = -4*q - u. Let a = 929 + -924. Solve 0 = -5*k + 5*p - a, i*k - 6 = 5*p + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -150387 - 5?\nAnswer: -150403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 85 = 75. Suppose 0 = 3*m + m - g. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-8)\/25))\/((-240)\/576)*40\/25.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.06 + -0.06. Let b be (-3028)\/(-770) + (-2)\/(-7). Let x = b - 42\/11. What is the biggest value in m, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k - 82*k - 2*y - 622 = 30, 0 = -k + 3*y - 10 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 9:28 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f + 0*f - 19*f - 403 = 0 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1833013 (base 9) in base 12?\nAnswer: 415703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 1e92?\nAnswer: -1e96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20838 and 104643?\nAnswer: 4813578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 49. Suppose t - d = 4*a - 1, 4*a + 35 = 3*t. Suppose -t*y - 10 + 74 = 2*u, u - 3*y = 10. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4847 and 7659?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 374.\nAnswer: 4114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 1, v: 2, i: 2, x: 1}. Give prob of picking 1 v and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a century?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.3 in 1\/9, 0.2, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**6\/120 + 4*p**5\/15 - 17*p**4\/12 - 3*p**3 + 31*p**2. Let i be c(13). Suppose -d + 102 = -i. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 660585?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 11*y**2 + 12*y + 2. Determine j(9).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 93879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15 and 92.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.81714*0.038\nAnswer: -0.06905132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 8\/13 (c) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-24)))**(-13\/2)*t*t**(-44)*t**(-3\/25)*t assuming t is positive.\nAnswer: t**(-4953\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6614 (base 8) to base 16.\nAnswer: d8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-82)*145263\/(-7086).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v = -37*v + 20. Suppose -5*x + v - 20 = 0. Let m = x + 109. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1273311139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6 - -3) + 4 + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -5\/266 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39031011137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) + sqrt(28)\/sqrt(4)*-2 + -4) + -4.\nAnswer: 4*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99325*y + 99468*y = -22451 for y.\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 18*o - 990. Suppose -61*g - 49*g + 2943 = -3107. What is a(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 127247 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**4\/24 + a**3 - 21*a**2. What is h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**4\/4 - 13*u**3\/3 - 7*u**2 + 2*u + 1. Let t be r(14). Solve 0 = -t*s - 2*j - 2*j + 18, 3*j - 10 = 2*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + -23 + 10 + 37 + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in -1\/760281, 4\/3, 2\/7?\nAnswer: -1\/760281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 11740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 3:42 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2941 + -1565. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 1759384.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/21312 and 65\/564672.\nAnswer: 62678592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from yguqggggyuugquygnug.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 89012.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -312?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2302, 2976, 3616, 4204, 4722, 5152, 5476?\nAnswer: 5676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6187, 12207, 18197, 24139, 30015?\nAnswer: 35807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116470*q - 116855*q + 27720 = 0 for q.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-24)\/(-40) + (-4)\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -3\/397?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1449 and -38118.\nAnswer: -55232982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7827 is divided by 270?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.068 - -3.868. Let g = x - 4.1. What is the biggest value in g, 5, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/(-12)*16\/120. What is the nearest to -0.2 in 0.1, -5, 1\/5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 32 + 17. Suppose 4*j = -8, -2*n + n + m*j = -85. Let g = 82 + n. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*r + 62*r - 30. Suppose -2*f = -2*i - 2308, 6*f - 2*f - r*i = 4619. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2131 (base 4) to base 14\nAnswer: -b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 52734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3594 - 48794 = 5479*t + 3561*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/7 + (-38)\/14. Let h(l) = -2*l + 3 + 0*l + 4*l. What is h(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**4 - 50828*u**3 + 906063*u**2 wrt u.\nAnswer: -48*u - 304968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*u + 0*u + 120 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.044? (a) -17.6 (b) -0.3 (c) 0.4 (d) -0.18 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/30 - 22\/(-6). Suppose 20 = t*z - 68. Let m be 32\/15 - (10 - (-888)\/(-90)). Calculate the greatest common divisor of m and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -5 - (6 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + p + p = -18, 2*o + 5*p + 24 = 0. Let r = 0.03 + -3.03. Which is the nearest to 1? (a) 3\/7 (b) o (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75354.88l?\nAnswer: 75354880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 0.1, 1.67, 4, 0.05, 0.2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 - 3*r**2 + 7*r**2 + 2*r**2 - 3*r**2 + 4*r**2 + 4*r**2 + r**2 - r**2 + (r + 0*r + r)*(r - r + r).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 37*m**6\/120 - 9*m**5\/20 - m**2. What is the third derivative of a(k) wrt k?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 + 10705*w**2 = 0 for w.\nAnswer: 0, 2141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6194, 6197, 6200?\n\"Answer: 3*v + 6191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 + j - 1. Let k be o(1). Suppose -6*h - 3 = -15. Suppose h*q + k - 87 = 0. Is q a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4267 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 380310 to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**5)\/(g\/((g**(-4\/9)*g)\/g))*g*g**0*g**(-1\/8)\/g*g assuming g is positive.\nAnswer: g**(-329\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16 - (4 + (-2)\/(-2)). Suppose -i*y + 33 = -0*y. Suppose 5*u + 2032 = y*p, 5*p - 4*p + 4*u = 683. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3639 times -0.3?\nAnswer: 1091.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2701*r - 10. Let z(m) = 5399*m - 22. What is -13*s(q) + 6*z(q)?\nAnswer: -2719*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 - (-1 + 146\/44) and 2 - 0 - (6 + (-1450)\/140).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 290232, 26 in descending order.\nAnswer: 290232, 26, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 397468041297 - 0.4.\nAnswer: 397468041296.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Let o(b) = -b**2 + b + 1. Let p be o(0). Let t = 0.5 + -1. Put t, n, p in ascending order.\nAnswer: n, t, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 9*f - 7. Let m be y(-6). Let p be 242\/15 - (-1 - 153\/(-135)). Solve -m*b - p = -15*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*(-228)\/(-380)*(-10)\/(-12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/111390 and -191\/18983700.\nAnswer: 892233900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/38*(-2)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12727 and 4862.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/4 + 46\/8. Let m be 3*((-20)\/p - -2). Is 687\/6 + (-2)\/m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 b when two letters picked without replacement from {k: 1, b: 1, m: 2, t: 1, p: 1, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 2*z + 2677*c = 2679*c + 34, 6*z - 5*c = -63 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -5\/6*m**3 + 5\/2*m**2 + 2*m + 0. Let u = 2 - -9. Let a(z) = -14*z + 14. What is u*j(f) - 4*a(f)?\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1068\/(-72) + (-2)\/12. Let w be ((-57)\/q)\/((-2)\/(-10)). Find the first derivative of w - 14 - 6 - 21*s**2 wrt s.\nAnswer: -42*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 12baba?\nAnswer: 12bac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, m: 3}. Give prob of sequence hhm.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x = 12*x + 8. Let c be (x\/2 + (-234)\/104)*4. Suppose 8 = -3*i - v, -i - v - 7 + 1 = 0. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65001 a multiple of 522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 3*a - a)*(-3*a - 2*a + 6*a)*(-3 + 0 + 4)*(-4 - 10 - 1)*(25*a**2 - 5*a**2 - 2*a**2).\nAnswer: -270*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1135*x - 1148*x + 273. Solve 9*d - x = 2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6388, -12770, -19138, -25486, -31808, -38098, -44350, -50558?\nAnswer: -56716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 39200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 7*n**2 - 8*n - 7. Let z be w(-6). Suppose 5*j - 4*j - z = -5*s, 0 = 5*s - 2*j - 20. Which is the nearest to -0.1? (a) 1 (b) s (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 399857570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, q: 1, x: 3}. What is prob of picking 1 q and 3 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2179, 5, -5, -2, -7.\nAnswer: -2179, -7, -5, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -129084*-0.1\nAnswer: 12908.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11537827\/120 + 96147. What is the common denominator of t and 52\/625?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4076509 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 + 30 + 7*h)*(h**2 - h + h - 2*h**2 + h**2 + 0*h**2 + (1 - h - 1)*(-1 + 2*h + 1) + 16 - 10 + h**2 + 4).\nAnswer: -7*h**3 + 70*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3045 and 199294235.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 15*k**2 + 18*k - 9. Suppose 2*s = i + 36, -2*s = 3*s + i - 76. What is the remainder when h(s) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025185 to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j**(-17)\/j))\/j)**19 assuming j is positive.\nAnswer: j**323","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, -3, 46, 4 in descending order.\nAnswer: 46, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18044, 18046, 18048, 18050?\n\"Answer: 2*l + 18042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and -172601372.\nAnswer: -172601372.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**3 + o**2. Let y(k) = -k + 1. Let p(d) = d**3 - 2*d + 2. Let l(m) = -p(m) + 2*y(m). Calculate 2*a(h) - 6*l(h).\nAnswer: -2*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/50, 104, 4, -0.02, -29 in decreasing order.\nAnswer: 104, 4, -0.02, -3\/50, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (206\/(-206))\/((-2)\/(-38)*-1). Solve -2*q + 13 = -5*n, n + c = 5*q + 2*n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1724\/(-12068)*(-364)\/(-8).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*l - 252*l**3 + 88*l**3 + 4 - 142*l - 2 + 165*l**3.\nAnswer: l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n + 64 = 0. Let i = -12 + n. Let g(d) = d**2 + 4*d - 1. Is g(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3796e9 (base 15) to base 13\nAnswer: 7239c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/4, 1\/4, 2\/11, -1\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 46934 * -102\nAnswer: -4787268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 21 + -26 - 32?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**4\/4 + 7*q**3\/6 + 61*q**2. Determine w(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -25. Find the second derivative of w*z**2 + 2*z**2 - 5*z**2 - z wrt z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 507, 3, -1 in increasing order.\nAnswer: -1, 3, 507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 16*r**3 + 24*r**2 + 24*r - 24. Let h(n) = n**3 + n**2 + n - 1. Calculate -24*h(k) + i(k).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, 95, 314, 621, 1016, 1499, 2070?\nAnswer: 2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, -54, 1332.\nAnswer: -131, -54, 1332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g**2 - 6*g - 5. Let k(x) = 7*x**2 - 6*x - 4. Let o(t) = 3*k(t) - 4*p(t). Let r(n) = -10*n**2 + 4*n + 5. What is 5*o(l) - 8*r(l)?\nAnswer: 5*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = 0, 7*l + 23*k = 26*k + 16. What is y in 2*y - y**4 - l + 5*y**2 - 5\/2*y**3 + 1\/2*y**5 = 0?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -1001?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25595230627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1987 + -1984. What is the nearest to -2\/5 in 2, -7, -4, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*t**2 + 21*t**2 - 14*t**2)*(2*t**2 + 2*t**2 - 2*t**2) - 7*t**4 - 24*t**2 + 24*t**2 in the form c + g*t + n*t**3 + b*t**2 + f*t**4 and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3*x + 5 = -5*w, 2*w + 4*x - 16 = 0. Suppose -9 = -3*h + 3*s, 3*h - 36 = -2*h - w*s. What is the hundreds digit of (h - 7)\/((-306)\/(-309) - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**5\/15 - 385*c**4\/2 - 15*c**2 - 144*c. Factor w(x).\nAnswer: 4*x*(x - 1155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-4) + 1*5\/(-1). Solve d = -2*v + 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 - 52 - 14 + 25 - 56 to the form p*h**3 + c*h**2 + i + o*h and give i.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4 - o**2 - 1 + 2147*o - 2143*o. Let m be g(4). Suppose m*s - 7*s = -12. Which is smaller: s or 9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -2915*p**4\/24 + 719*p**3\/6 + 24*p**2 - 1. Differentiate r(u) wrt u.\nAnswer: -2915","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 25*k - 24. Calculate the remainder when 808 is divided by a(-14).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fccz when four letters picked without replacement from hvczvccczhhhcfchhvc?\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3906441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 295, 660, 1185, 1876, 2739, 3780?\nAnswer: 5005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 50 + (-33 - -53) + (-5 - (-4 - -3)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27159\/32 equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22211110 (base 3) to base 16\nAnswer: -1926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-1)*(-8)\/(-12). Let p(n) = 4*n**3 - n**2 + 2*n - 3. Is 17 a factor of p(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 11 = 41. Is 79 a factor of 28\/((c - 4)\/(2 + 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0 - 1\/6*m**3 + 0*m**2 - m. Let p(j) = -j**2. Calculate p(y(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341861?\nAnswer: 13, 26297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -25, 5*o + s = 2*o + 62. Sort -3, o, -4 in ascending order.\nAnswer: -4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 6. Suppose -2*m + p*m + 60 = 0. Let a(k) = k**2 - 4*k + 6. Let w be a(4). What is the highest common divisor of w and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -148 greater than -293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 7:04 PM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**3 + s**2 - s - 3. Let a(v) be the second derivative of 13*v**5\/20 + v**4\/4 - v**3\/6 - 7*v**2\/2 + 850*v. Determine 3*a(j) - 7*l(j).\nAnswer: -3*j**3 + 2*j**2 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f**(3\/8)\/f)\/f)\/f)\/(f*f**12)*(f**(-8\/11)*f)\/(f\/(f**(1\/8)\/f*f)))**29 assuming f is positive.\nAnswer: f**(-9715\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 339, 338, 337?\n\"Answer: -x + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -724 + 1973. What are the prime factors of i?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12686 - -5?\nAnswer: -12681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgj when three letters picked without replacement from vvgpegepeekgjveee.\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.115 + 101.115. Let j = d + -106. Let q = 5 + -8. What is the closest to q in j, 0.5, -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.773877 or 5?\nAnswer: -3.773877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270722.\nAnswer: 2, 223, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/5 (b) -2 (c) 12110 (d) -5 (e) 13\/5 (f) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21 and -76.\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1534, 1533, 1520, 1489, 1434, 1349, 1228?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (34 - -1)*(0 - -1). Let m be 220\/3*42\/p. Suppose -5*y + m - 18 = 0. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191 - -3. Let a = -188.4 - c. What is the smallest value in a, 0.02, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m**3 + 43*m**2 - 118*m - 2 wrt m.\nAnswer: 30*m + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 138433062.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**2 + 263 - 263 + 2*r**3 wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(95) + sqrt(95)*4))\/(sqrt(5) - sqrt(45)\/sqrt(9)*-2).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17493 + 37090. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 - 4245*w - 695138. Determine g(-1226).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -u - 2*s, -28 = u + 2*u - 5*s. Let g = 6 + u. Suppose 4*c + 5*z - 33 = 0, g*z - 4 = 3*c - 2*z. Solve 0 = -x - c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 7*g**2 + 4*g - 12. Is 31 a factor of d(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7203.5 + 7203. Let z = 7 - 10. Let v = z + 3.5. Sort n, v, -0.1 in decreasing order.\nAnswer: v, -0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2090 - -3086. Calculate the remainder when g is divided by 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000521383 rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by ((-864)\/384)\/((-3)\/88)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -6 + 2*v**2 + 3 + 3. Let r(q) = 4*q. Suppose -4*m + 20 = -0. Let b(o) = 3*o. Let h(n) = m*b(n) - 4*r(n). Give h(l(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 15*w + 7. Suppose 2*v = v + 3. Let p be x(v). Find c such that -260*c - 48 - 4*c**5 + 8*c**3 + 2*c**2 + 28*c**4 - 186*c**2 - p = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -108, -12, -19 in increasing order.\nAnswer: -108, -19, -12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/46*(10\/(-12))\/5*724\/362.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -53, 12, 57 in ascending order.\nAnswer: -53, -2, 12, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*z, i + 2*i = 2*z + 8. Solve i*p = 4*p + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r + 2189. Let q(t) = 33*t. Calculate q(u(z)).\nAnswer: 132*z + 72237","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c - 3*c + 0 + 4*c + 0 + (-4*c + 0*c + 2*c)*(0 - 9 + 0))*(-c + 3*c - c).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1040 = 2776. Let s = r - 2112. Let a = s - -11440. What is a rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84810 is divided by 6482?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 5*r**2 + 15*r - 7. Let k be w(7). Let o be ((-4)\/8)\/(1\/(-6)). Let b be 0*1\/o + 2. Solve b*x + 2*x = k for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 + -0.6. Let b = h + 0.3. Let m = -38\/297 - -236\/297. What is the biggest value in b, m, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 322*l**5\/5 + l**4\/6 + 1048*l**3\/3 - l - 4777. What is the second derivative of f(s) wrt s?\nAnswer: 7728*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 4*t**4\/3 + t**3\/2 - 26*t - 67. Let b(w) = -20*w. Determine b(g(a)).\nAnswer: -320*a**2 - 60*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155 + -66. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 92 - 104923*v**2 + 43.\nAnswer: -104923*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayayucycauacuyup. Give prob of sequence cuyp.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 183756.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 249*z**3 + 251*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15067 is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qhh when three letters picked without replacement from hqqhq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -142 + -224380587583\nAnswer: -224380587725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2034*o - 73344. Determine m(-36).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*i + 1552 - 1552 to a*i + h and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obbiooooooionbbioo. Give prob of sequence ib.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -29, 7, 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 3, -609, -1, 2, -5, -66 in decreasing order.\nAnswer: 24, 3, 2, -1, -5, -66, -609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157988 and 508.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10782 in -6, 2, 3, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 - 1111110?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34129995 = -2*a - 5*x, 0*x - 1 = -x. What is a rounded to the nearest 100000?\nAnswer: -17100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l - 10. Let j be w(4). Let k be (1 + j*-9)*-22. Let i(c) = 374 - c - k. Let o(v) = -32*v. What is i(o(x))?\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.3, -8, -0.8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3421551 and 1332829?\nAnswer: 2671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + c - 3*c)*(-1 + 1 + 3*c + (5*c - 3*c + 0*c)*(-2 + 3 - 2)) + (-c + c + c)*(-162 + 162 - 24*c).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43182 by 5.\nAnswer: 43182\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15369? (a) -1 (b) -0.4 (c) -8 (d) -2\/7 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 255, 0, 39, -1\/36, -0.4 in descending order.\nAnswer: 255, 39, 0, -1\/36, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*s = -214*s. Suppose -4*t + s*t + 0*t = 0. Put -0.3, 0.3, t in descending order.\nAnswer: 0.3, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 17*u**2 - 2*u + u**4 + 17*u**2 + 2*u**3 + 0*u**2 to d + l*u + g*u**4 + y*u**3 + q*u**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r + 4*r + 5*v + 10, 15 = 3*v. Suppose -15 = -5*t, -r*z - t = -12*z + 672. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74071 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725327913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(847) + -3 - ((sqrt(847) - -1*sqrt(847))*3)**2.\nAnswer: -30495 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 + 453*c - 14765. Calculate i(100).\nAnswer: 535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 14.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 2*d**2 + 3*d + 1. Let l be t(3). Let r be -4 + 3 - (l - 3). Let q(p) = -r - 3*p - 4 + 5. Give q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 + 0.4. Let h = -0.11 - 0.39. Which is the second biggest value? (a) z (b) h (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1735724132 to the nearest integer?\nAnswer: 41662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - -30. Let g = 14273 + -14277. Put -0.5, g, r in ascending order.\nAnswer: g, -0.5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -6. Let y be (-3)\/((-84)\/(-8))*-35. Let w(r) = 5*r + r**2 + 0*r**2 + 7 - 15 + y. Determine w(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 98539 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-695)*((-111540)\/(-48))\/13. Let p = 2\/139 + g. Which is the closest to -2? (a) -1\/3 (b) p (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 658 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7d0 - 4?\nAnswer: -7d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t + 37. Let q(a) = 1368*a + 1383. Let n be q(-1). Give s(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -m**3*p**2 - 4894*m**3 - 13*m*p**2 - 4*m*p wrt p?\nAnswer: -2*m**3*p - 26*m*p - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*c**5*p - 32*c**4*p**3 - 22*c*p**3 + 2*p**3 - 1 wrt c.\nAnswer: 280*c**3*p - 384*c**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:17 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 350 = -5*f, 4*f + 3*b = 203 + 77. Suppose -f = -2*c - 3*c. Solve -5*x - c = 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 2 + 290\/40.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/7)\/u))**(-1\/24)*(u**(-2\/21)*u)\/((u*u\/u**(-5)*u)\/u)*(u**(-7)*(u\/(u\/((u*u\/(u**(-2\/13)\/u)*u)\/u)))\/u)**(3\/8) assuming u is positive.\nAnswer: u**(-17489\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (1 - (-14 + 7 - (-5 - 1))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 25*t - 108. What is y(-19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -356*u - 4508. Determine t(-13).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, b: 1, v: 1, s: 3, i: 1}. Give prob of sequence is.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 9.2. Let g = -9.00079 + i. Round g to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -3.6. Let h = -1.4 + g. Which is the smallest value? (a) 1 (b) 0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 8043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1898*k**5 + 2*k**4 - 2*k - 17555 wrt k.\nAnswer: -37960*k**3 + 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3 + 1. Suppose -12 = -3*d + b*d. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/24*-4)\/(10\/45)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26037 + 37732. List the prime factors of f.\nAnswer: 5, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -892 = -20*w + 3*s, 17*w - 3*s = 15*w + 100. Solve w*p = 35*p - 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 1. Suppose 4*x - 21 + u = 4*a, 5*x = 3*a + 19. Factor 2\/9*t**3 + 4\/9*t**a + 0*t + 0.\nAnswer: 2*t**2*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 26 - 6. Suppose -4*h = -3*b + 32, -3*b + v*h + 22 = -15. Let w = 10 - 8. Solve w*p = b*p + 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 2. Let x(n) = 1 + i*n + 0*n - n. What is the units digit of x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -207, -215, -19 in increasing order.\nAnswer: -215, -207, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 10. Let j(f) = -1 + 64*f**u + 13*f + 9*f - 22*f. Is j(-1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 564 - 565. Which is the closest to 9? (a) t (b) 4 (c) -2\/15 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**2 + 734*s**3 - 7855 + 7855.\nAnswer: 734*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-14) - (-54)\/63. Let m(h) = -6*h**3 + h**2 - 2*h + 5. Let r(b) = -b**3 + 1. Give v*m(o) - 5*r(o).\nAnswer: -o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317807?\nAnswer: 7, 83, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 26092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-21) - 9\/7. Let i be 9\/(-10) + 4\/10. What is the nearest to x in -0.1, i, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481972 to the power of 1\/3, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 + 4*m**3 + 37*m**3 - 2*m**4 + (0 + 2*m + 0)*(-3*m**3 + m**3 + 0*m**3) as z*m**4 + g*m + d*m**3 + o + l*m**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + 0 + -5 + (2*sqrt(448)*-1 + sqrt(448))*2 + -1)**2.\nAnswer: 64*sqrt(7) + 3586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 0, -2*m - 3*o + 10 = 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4815 divided by -107\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 687 divided by -3\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(1\/3)*o*o))**(-30) assuming o is positive.\nAnswer: o**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -50. What is the remainder when 14*1 + 3 + -1 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.3, 5 in decreasing order.\nAnswer: 5, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4482835, -4482841, -4482859, -4482895, -4482955, -4483045?\n\"Answer: -f**3 + f - 4482835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 7*b + 16. Suppose -2*q - 4*u + 10 = -q, 5*q - 2*u = 6. Let x(p) = p + 6. Let k be x(q). Solve -m = 5*g - k, -b = 3*g - 0*g + 5*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -305337 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/(-506)*-22*4\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56802863*w**4 + 8*w**2 + 310773*w + 3 wrt w.\nAnswer: 1363268712*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390888 divided by 732.\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1133, -5, -20 in ascending order.\nAnswer: -20, -5, 1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-16)*j**(3\/5)*(j**(-2)\/j)**(-9\/11) assuming j is positive.\nAnswer: j**(-712\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 20 = -2*p, 0 = 29*p - 18*p + 2*c - 47 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 232?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 190785480 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1120\/1320*22*-4*(-3)\/14?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -16. Suppose a*c = 4*t + 391, -c + 10 = 4*t - 73. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 88 = 4*d, 4*d - 38 + 30 = 0. Solve 9*l + 5*n + 21 = 8*l, 0 = l - 4*n - z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1725.1 - -1725. Put -2, x, 1\/3, -0.07 in descending order.\nAnswer: 1\/3, -0.07, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -46. Calculate the least common multiple of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in years?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.4, 1\/27 in decreasing order.\nAnswer: 1\/27, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-10 - -11) + -2 - (5 - 2)) - 36\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 + 41. Suppose w = -j + 3*j. Suppose -5*p + 18 = -2, 5*i + p - 79 = 0. Solve a - i = j*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + -3 + (-1 + sqrt(833) + sqrt(833) - sqrt(833)))**2 + 3)*-4*3*-6*3.\nAnswer: -24192*sqrt(17) + 723816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of 13*j**5\/120 - j**4\/12 + 3*j**3 + 32*j**2. Let i(w) be the first derivative of m(w). Let r(t) = -2*t**2. Give r(i(g)).\nAnswer: -338*g**2 + 104*g - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79155*z**3 - 6889*z.\nAnswer: -474930*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29464, 59253, 89042, 118831, 148620, 178409?\n\"Answer: 29789*u - 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11940203*d**5 + 15351366*d**2?\nAnswer: 716412180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (sqrt(65) + sqrt(65)*-2))*1*4)\/(sqrt(25)\/(sqrt(500)*-1)).\nAnswer: -80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand t - t + 2*t**3 + (7 + 6*t - 7)*(-t**2 - 2*t**2 + t**2) - 2*t**2 + 3*t**3 + 2*t**2 - t**3 + 4*t**3 - 2*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3437 + -3440. Put u, 115, 0.4 in descending order.\nAnswer: 115, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -63881175?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -4*t - c - 12, 0 = 3*t + c + 30. Let d = t - -26. Is d - (-9)\/(-1 + 4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1095, -1180, -1265?\nAnswer: -1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 30b50 - 2?\nAnswer: 30b4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4\/(-6) - 568\/(-6) is divided by 1\/(-6*4\/(-792))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8936252.\nAnswer: 2, 13, 171851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 972\/1555?\nAnswer: 972\/1555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 23, -37, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 10335991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 3*q + 54 = 0. Solve 2*s + q = -s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 9*c**2 + 6*c + 11. Let v be b(6). Let d = v + 57. Does 4 divide (d\/5)\/1 - 1976\/(-95)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 7, l: 1, n: 2}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -154.6 + 155. Which is the closest to -2? (a) 0.5 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**2 - 22*y**4 + 11*y**4 + 9 - 3*y**2 + 6*y**2 wrt y.\nAnswer: -264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by -4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 350*-0.3\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12573 + -12342. What is the greatest common divisor of p and 3036?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317000 rounded to the nearest ten thousand?\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 7:04 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 83457\nAnswer: 33382.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 + -9 - -18) + -36?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + q + 0*q + (-3 + 5 - 3)*(q - 3*q + 5*q) + 4*q - 5*q - 4*q.\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 0, -4, -1\/64?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l**2 + 2*l - 9. Let v(j) = -55*j**2 - 11*j + 44. Let g(t) = -11*p(t) - 2*v(t). Differentiate g(o) with respect to o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 30*s + 102. Let v be u(33). Let c(k) = -5*k. Let i(x) = -6*x. What is v*i(o) - 4*c(o)?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 - -73. Let g be 54\/21 - (-12)\/h. Factor 0*z + 0 - 2\/3*z**3 - 2\/3*z**g.\nAnswer: -2*z**2*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -257*z - 246*z - 52*z**3 + 503*z.\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 134.17917 months?\nAnswer: 1.11815975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 642218453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*x**2 + 14*x**3 + 9*x**3 - 17*x**3 - 6*x**2 to f*x + d*x**2 + j + w*x**3 and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**3 + t**2 - 2*t. Suppose 0*o - 5 = -o. Let g(q) = -2*q + 4 - o - 5 + 7. What is 2*b(x) - 7*g(x)?\nAnswer: 2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/13490190 and -62\/2793?\nAnswer: 13490190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/13)\/a)\/a*a**(-5)*a*a*(a**4*a)\/a**(2\/7) assuming a is positive.\nAnswer: a**(51\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256542145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/26 and 95\/286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 582.91994634?\nAnswer: -578.91994634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 18*y + 326. Determine c(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 1:04 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**3 - 4*b**3 + 0*b**3 - 2)*(3*b**2 - 2*b**2 - 3*b**2).\nAnswer: 4*b**5 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1068414594.\nAnswer: 2, 3, 13, 13697623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 10:09 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-2)*(0\/((-88)\/(-8)))\/(-3). Let b be ((-20)\/(-15))\/2 + (-98)\/3. Put b, l, 1 in descending order.\nAnswer: 1, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 666967 to the nearest integer?\nAnswer: 817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35230 + -19719. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1293 in -2, -29, -57, -2\/9?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by (-1)\/(2 + 0 - 1)*-11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 963750116 to the nearest integer?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, -1\/4, 2\/325, 2\/13 in ascending order.\nAnswer: -1\/4, 2\/325, 2\/13, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*a + 8. Let q(k) = k**2 - 3*k**a - 2*k**2. Let x(g) = 2*g**2 - 8*g**2 + 5*g**2. Calculate x(q(u)).\nAnswer: -16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sqe when three letters picked without replacement from eqeqsqqeqseq.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j + 7 = -37*j + 3*k, -2*j - 8 = -4*k. Which is the third biggest value? (a) j (b) -2 (c) 4\/157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-4)*(-1)\/1. Solve -5*o - 4*a - a - 25 = 0, -5*a - 15 = z for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -259 and -358 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7195822*p**2*z - 12464993*p**2 wrt z?\nAnswer: 7195822*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.123 + 0?\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 5*l + 3. Let b be (7 - 0) + (0 - 2). Let q = b + 1. Calculate w(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5525 - 5525.04022. Round i to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9*(-554)\/8*(-112)\/(-84). Let a = -829 - u. Factor 14\/11*j**a + 0 - 6\/11*j - 10\/11*j**3 + 2\/11*j**4.\nAnswer: 2*j*(j - 3)*(j - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3664547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1817 + -1102. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 1a77?\nAnswer: 1a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 66334?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 722\nAnswer: -721.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 29 + 2 + (248 - 264)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*n - 35 - 137, -2*c = 4*n - 136. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18606, 37278, 55952, 74628, 93306, 111986?\n\"Answer: x**2 + 18669*x - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*d + 58*d - 15*d + 48*d)*(-5*d + 0*d + 2*d)*((-1 + 0 + 4)*(0 - 2 + 1) - 1 + 3 + 0).\nAnswer: 351*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 16 + 6 = 0. Solve 0 = w - 5*h - r, 0 = -4*w + 2*h - 1 - 9 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l. Suppose -61*g = -66*g - 380. Let t = -65 - g. Let h(c) = 29*c - 22*c - t*c. What is j(h(v))?\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -22017 equal to -22017?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.866318 + -0.133682. Let s = 7 + -4. What is the nearest to 15 in -1\/2, i, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29\/3 or -10?\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -190*g**2 - 55*g. Let b(v) = 21*v**2 + 6*v. Let r(s) = 55*b(s) + 6*c(s). Is r(-2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poopoqpqaoqpool. What is prob of picking 1 l and 1 a?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -287 + 292. Suppose -4*k - 1 = 3. Let c be -10*(2\/4 + k). Solve -w = -c*y + 11, -l*w + y + 2 = -15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2700) - sqrt(2700)*4 - (sqrt(297) + sqrt(297) + sqrt(297)*-4)\/sqrt(11))\/(((sqrt(18) - sqrt(18)*-1)*1)\/(sqrt(22)\/sqrt(44) - sqrt(2))))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 459 and 43693047?\nAnswer: 742781799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -7. Suppose 4*v - v = w*t - 2, -2*t + 3 = v. Let b(u) = -2*u + 4. Let s be b(t). Solve 5*z + 6 = s*g, -z + g = z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 202 - 110 = 0. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2068553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25719.58 rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/5104 and -13\/11832?\nAnswer: 260304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -5 (c) 275 (d) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -18*g + 16*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a. Let g(q) be the second derivative of 5\/6*q**3 + 6*q + 0*q**2 + 0. Determine b(g(x)).\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, h: 1, i: 2, s: 2, j: 4, z: 3}. Give prob of picking 1 i and 1 s.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1462*z**3 - 167*z**3 + 1650*z**3 - 11992*z**2 + 299*z**2 + 555*z**3 wrt z.\nAnswer: 21000","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - s**2 + s + 41. Let i(w) = 4*w + 110. Let p be i(-25). Is y(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -19*d**2. Let j(p) = p - 2. Let u(b) = 6*b - 11. Let c(f) = 11*j(f) - 2*u(f). What is c(q(y))?\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 32*m**2. Let u(y) = -255*y + 1. What is u(r(d))?\nAnswer: -8160*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.163654 to two decimal places.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*n + 8 = 119*n. Suppose -5*x + n*d = -0*d - 158, -3*d + 99 = 3*x. Suppose 0 = -14*v + 6*v + x. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3822370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11010 + -21210000?\nAnswer: -21121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4075\/(-1630))\/((-5)\/(-72))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1837.0289 + 4501402.\nAnswer: 4503239.0289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:04 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71, 66, 61, 56?\n\"Answer: -5*q + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 22) + 52 + (-9 - -4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 961868 divided by -240467?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyl when three letters picked without replacement from pppyyylppplypyy?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 1. Let g be 155\/55 - r\/(-22). Suppose -3*h + g = -0. What is the closest to -0.5 in h, 1\/5, 1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 4. Let q be a(4). Let b = 6 + q. Let t(r) = r**3 - 30*r**2 + 3. Let o be t(30). Solve b*y = -x, o*y + 13 = -0*x + 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -8. Let u = n + 0. Let w(d) = -4*d - 2. What are the prime factors of w(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -436 - -450. Suppose -5*j = 5*o - 410 - 380, -o = -4. What is the greatest common divisor of d and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -142 + 407. Suppose 3*y = 4*l + j, -4*y + 84 + 256 = -2*l. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -722\/7. Let h be (-4)\/3*(-3)\/2. Suppose -h*c = -3*f + 2 - 12, 3*c + 4*f + 19 = 0. Which is smaller: c or j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1007, -2770, -5725, -9878, -15235, -21802?\n\"Answer: -m**3 - 590*m**2 + 14*m - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {w: 1, g: 1, m: 1, o: 2, c: 2, i: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.925767818 rounded to two dps?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 39*p**2 + 18*p + 175. What is the units digit of z(39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -11\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 2:37 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**2 - 72*m - 70 = 0.\nAnswer: -35, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yr when two letters picked without replacement from {e: 3, r: 1, y: 11}.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 611233012*v**6 + 21296349*v**2 + 2 wrt v.\nAnswer: 73347961440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-55)\/10 + 1)\/((-264)\/352). Solve 3*o = -k, -3*o - 2 = 18*l - 22*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 12. What is the third biggest value in 1\/8, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91a (base 11) in base 3?\nAnswer: -1112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-2 - 2 - -2)\/(-1). Suppose -z*n = -6*n + 26. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2499920053708 and -99.\nAnswer: 2499920053609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(8\/(-4)) + -1. Let m be 3\/9*(0 + f). Let g be (-5)\/(-20)*(-5 - 4\/(-4)). Sort -5, m, g, -25.\nAnswer: -25, -5, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**2 + q**2 + 4*q**2)*(-3*q + 3*q - 6*q).\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 675*p + 8971 wrt p?\nAnswer: 675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-408)\/(-728) - (623\/91 + -7)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 27362*t**2 + 2*t - 2. Is q(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -32. Let o be 2\/(-4) + 305\/i. Let g = -5 + 5. Solve g*l - 4 = -2*l - 2*s, 5*l - 5*s = -o for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -3, -2 in descending order.\nAnswer: 40, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53974, -53304, -52634?\n\"Answer: 670*j - 54644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-7)\/(28\/(-86348)) - (2 - 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -186, -411, -724, -1125, -1614?\nAnswer: -2191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 279*x**2 - x**4 - 164*x**6 - 6*x**5 - x**5 + 310*x**2 + 7*x**5 wrt x.\nAnswer: -19680*x**3 - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/5 - 907316*l**2\/5 + 205805580964*l\/5.\nAnswer: l*(l - 453658)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23413 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -64, -177, -286, -391, -492?\n\"Answer: 2*v**2 - 119*v + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two ninths of a day?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 3*d + 3. Let q be f(-5). Let y = -3 - q. Solve 0 = -w - 6 + y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ac6a7 (base 14) to base 8.\nAnswer: 5546053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12552207*k*s*w**3 - 2853*k*s - 36330*k + 13*s*w wrt w.\nAnswer: -37656621*k*s*w**2 + 13*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 - (12 + -13 - (17 + -26 - -21)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j - 30 = 0. Let l = j - -2. Solve -3*n - n = l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/2)\/((-2)\/(-1)). What is the third derivative of 5*h**2 - 3*h**4 - p*h**2 + 3*h**5 + 3*h**4 wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*(sqrt(16) + sqrt(256)))\/((sqrt(192)\/sqrt(4)*4 + sqrt(48))\/sqrt(6)).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*b - 94*b + 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.6673 to zero decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3039 is divided by 218?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2746*d**3 - 1104*d**2 - 8*d.\nAnswer: 16476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pkp when three letters picked without replacement from kpppppkkpppppp.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*s**3 + 238*s**3 - 114*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44 or 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3)*(-54*m - 53*m - 97*m)*(0*m - m - 6*m).\nAnswer: -1428*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 + 71 + 751*z - 150)*(-3 + 3 - 2) - 9*z + 5*z - 4*z.\nAnswer: -1510*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqhqqhqqhqqhq. Give prob of picking 1 q and 1 h.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 136 + -1228\/9. What is the nearest to 1 in 2\/9, 0.1, k?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*y + 8 = -16, -4*y = 2*d + 6. Let w(q) = d*q + 6*q - 10*q. Let x(v) = 4*v**2. What is x(w(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.12. Let x = -0.38 - l. Which is the closest to -1? (a) x (b) -1\/7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*g + 4*k + 10, -22 = g + 5*k. Let y be (g - -6) + -6 + 48\/20. Sort -2, 2, -5, y in ascending order.\nAnswer: -5, -2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1535780 by 153578.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/7 + (-32)\/(-14). Suppose 3*m = 31*q - 32*q - 6, -6*m = 4*q - 6. Solve -p - q = 2*f, -f - a*p = -0*f + 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008640808 to 6 dps.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40330518 is divided by 789?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/4 (b) -1 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-15) + 2 + (-11)\/(-55). Put -5, 249, f in ascending order.\nAnswer: -5, f, 249","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j - 95. Let i(a) = 3*a + 40. Let n(u) = -12*i(u) - 5*s(u). Let w(c) = -11*c**2. Determine w(n(p)).\nAnswer: -176*p**2 + 440*p - 275","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4492, 4751, 5010, 5269, 5528, 5787?\nAnswer: 6046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 11*n + 12. Let i be p(4). Suppose -4*w + 188 = -i*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-12))\/((-15)\/(-8)). Sort 0.5, 2\/9, x.\nAnswer: 2\/9, x, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, w: 5, j: 1}. Give prob of sequence rjww.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 609201156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 31551?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68.1026, 1\/5, 3, 5 in ascending order.\nAnswer: 1\/5, 3, 5, 68.1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 43 = 5*l - 18, -2*z + 3*l = -13. Let n(u) = -u**3 + 6*u**2 + 2*u + 1. Give n(z).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*w - 36 = -517*w - 2*t, -15*w + 3*t - 41 = 103 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 - 36114*u - 108350. Calculate c(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 82 - 30 - 7*d - 31 + 0*d + 6*d. Determine a(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2. Let c = 5 + 1. Let u(g) = 4*g - 18*g + c*g + 0*g. Give u(a(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 100 = 3*u + r, -3*u + 3*r + 96 = 0. Solve 0 = 7*n - 54 + u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -274928, -20, 44 in decreasing order.\nAnswer: 44, -20, -274928","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 316, 1295, 2918, 5179, 8072?\n\"Answer: -j**3 + 328*j**2 + 2*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6832 and 64050?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m + 2. Let u be h(8). Let l = u + 42. Solve -c + l = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 277.4 - 59.2. Let h = -219 + i. Is -1 at least as big as h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**2\/5 - 1316*h\/5 + 438\/5.\nAnswer: 2*(h - 219)*(3*h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2396 = -140*w - 296 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*z + 574*z - 126*z - 131*z - 208*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j = 39*j - 54. Let s(i) = i + 1. Let u be s(-9). Let b = -6 - u. Solve -j*x - b*x = -15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 281 and 516?\nAnswer: 144996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2514 (base 6) to base 9\nAnswer: -761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 2*h**2 - h - 2. Let x be g(2). Calculate the greatest common divisor of 60 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {v: 2, e: 3, h: 5, o: 1, t: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -495 - -492. Which is the nearest to -1\/7? (a) 1\/10 (b) -13 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.43 and 3.\nAnswer: -7.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 2 - (49 + -43).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1803*s**3 - 116*s**3 - 1780*s**3 + 2040*s**3.\nAnswer: -1659*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 + -203.0302. Let z = 0.030854 + p. What is z rounded to five decimal places?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 4*u - 14, 0*w + 28 = -4*w + 5*u. Let d = 4 + -2. Suppose -d*l = 3*l + 10. Is l != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x - 4*a, 8*x - 4*x + 2*a = 30. Suppose -6002 = -x*r - 1585. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 + -564?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2950.5391 rounded to 0 decimal places?\nAnswer: 2951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4577*k**2 - 1142*k**2 - 1145*k**2 - 1156*k**2 - 1148*k**2.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210157, -420236, -630315?\nAnswer: -840394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12907 times -2043.1\nAnswer: 26370291.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.184871um to nanometers.\nAnswer: 184.871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23154.9916 - 23196. Let t = -41 - p. Round t to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*p + 107*p - 29 = 0. Is p equal to -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 3*y**5\/20 - y**4\/8 + y**3\/6 + 2*y**2. Is h(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401023219 to the nearest integer?\nAnswer: 20026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -j - 3, 5*y - 38 + 43 = j - 5*y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*d = 109*d - 1397201 + 140529. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84952 divided by -2296\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*4\/(-12)*33. Let q = u - -57. Suppose -q*r - 4*r + 96 = 0. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1) - 4) + (-2376)\/(-54 - 45).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {l: 4, r: 2, h: 7}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286930 and 350.\nAnswer: 1434650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/5 + 1323*k - 2452384\/5.\nAnswer: (k - 352)*(k + 6967)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*q + 51, 3*q - j + 84 = -5*j. Let w = q + 21. Let d be (40\/25)\/((-6)\/(-15)). Sort d, w, 6, -5 in increasing order.\nAnswer: -5, w, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 32 = -4*y, -3*d + 3*y = -d - 14. Solve -3*o + 8*o = d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**3 + 20*w**2 + 36*w - 59. Is k(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.028 - -2.021. Which is greater: 1\/6 or q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 3*b**2 + b - 2. Let k(z) = -4*z**2 + 34*z + 16. Let d be k(9). What is c(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in 4\/5, 6\/25, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035173942 a multiple of 12407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2.3557773 microseconds?\nAnswer: 0.000000039262955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40110559 a multiple of 1643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 896983100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m + 4*m)*(-m**2 - m**2 + 0*m**2)*(6 - 5 - 9).\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 57 = -s. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f. Let m(x) = 1 - 11 + 4*x + f. Is m(9) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2108)\/(-22) + (-3 - (-105)\/33). Suppose -4*i - 12*i + j = 0. Solve k + 20 = i*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -17*d**5\/60 - 12*d**2 - 4*d. Let k(w) = -3*w. Determine k(a(n)).\nAnswer: 51*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 312 and 24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (1 - 4\/2). Calculate the least common multiple of 30 and ((-15)\/n)\/((-6)\/16) + -4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15*p + 11*p + 58 = 0, 4*t - 5*p = -41. Let d(j) = 4*j**2 - 22*j + 51. What is the hundreds digit of d(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17152001?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 8987030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w + 0 + 0 + (0 + 0 + 2*w)*(-2 - 3 + 2) - 12*w - 9*w + 41*w + 4469 - 18*w in the form a + t*w and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -342\/17 or -21?\nAnswer: -342\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-8))\/((-2)\/328). Let a = p + 360. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 433868, 867840, 1301812, 1735784, 2169756, 2603728?\nAnswer: 3037700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**2\/2 + 17*l - 14. Let n be f(-9). Solve 5*a + 0 = -4*u + 8, -4*a - 4*u = -n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14415 + -3?\nAnswer: -14421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 1781*t**8\/336 - 5161*t**5\/60 + 410*t**2 + t - 1. What is the third derivative of b(i) wrt i?\nAnswer: 106860*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 669169559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from czzcczoczzc?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 11*m - 13*m + 11 = 0, -2*q - 2*m + 14 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/5 + 119327*d**2\/5 - 1670382*d\/5.\nAnswer: -d*(d - 119313)*(d - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*w + 2, -4*w = -0*w - 4. Let t(z) = -5*z**2 + 2*z - 1. Let y be t(n). Let l = 0 - y. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 7*a + 6. Let v be z(8). Let y be (v\/(-28))\/((-1)\/6). Suppose -4*j = -y*j - 26. Calculate the highest common divisor of j and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.19 - -7.69. Let k = l - 4.5. Put -2\/7, 0.2, 2\/3, k in descending order.\nAnswer: k, 2\/3, 0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*-1 + 1 - sqrt(80)) + -1)**2*-5.\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5460, 10926, 16392, 21858, 27324, 32790?\n\"Answer: 5466*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16078110?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85591.08 millennia to centuries.\nAnswer: 855910.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -8.3. Let f = 2435 + -46267\/19. What is the fourth smallest value in -1, f, 4, s?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**2*o**2 + 308*l**2*o*u - 17*l**2*o + 4*l*o*u + 2*l*u - 133*o**2 wrt l.\nAnswer: -2*o**2 + 616*o*u - 34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1500*d + 16 + 1508*d - 7)*(4 - 2 + 0) as z*d + f and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 4 (c) 101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6080498944 to the nearest integer?\nAnswer: 77978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 165 = 183 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w + 1. Let r(z) = 35327 - 35327 - 3*z. What is r(j(i))?\nAnswer: 36*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s + 6 = 0. Let o be (0 + s)\/(11\/132). Suppose o = w - 5*u, 3*w - 2*u = 2*u + 39. What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 4 = -2*z + 2, t + 3*z = 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -36, -56, -84, -120, -164?\n\"Answer: -4*j**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.45 - 6.45. Which is the second biggest value? (a) 3\/7 (b) 0.3 (c) 6\/5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 0 (c) 0.2 (d) -9793\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*x**2 + 0*x**2 + 3)*(-5*x + 2*x + 0*x).\nAnswer: 6*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56136*w**3 - 27949*w**3 - 28179*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38.7 + -37.322. Let p = -0.062 - a. Let g = p - 18.76. Round g to the nearest integer.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*p - 46*p + 20. Let b(l) = 10*l**3 + 4*l**2 - 6*l + 2. Let m be b(p). Solve -3*h + 13 = m*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (220\/30)\/(2 - 10\/3) - -5. Let x be 2\/(-11) - 103430\/10725. Let i = -126\/13 - x. What is the nearest to z in i, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 61532 and 61533 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 2:12 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from {g: 4, k: 3, w: 4, v: 4, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*l - 112*l + 40754 = 26*l + 21*l for l.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.73911 millilitres to litres.\nAnswer: 0.07373911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40b08 (base 14) in base 4?\nAnswer: 212002310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 15*d**3 - 12*d**2 + 4*d. Let b(m) = 15*m**3 - 11*m**2 + 3*m. Let h(r) = -4*b(r) + 3*u(r). Find the third derivative of h(q) wrt q.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9711317 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8329 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 5\/4, 26\/7, 7\/4, 3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**2 - 7*j - 14. Let h = -363 - -360. Is m(h) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 34 + (-35 - (-1 + -12))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 169376 divided by -2\nAnswer: -84688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 7, r: 2}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -52*s - 2. Let a(i) = -103*i - 4. Let l(f) = 6*a(f) - 14*x(f). Suppose -u = -5*o - 26, -2*u + u - o = -8. Is l(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -131*s**6\/360 + 29*s**3 - 44*s - 2. Let r(n) be the second derivative of z(n). Let m(j) = 2*j. Calculate r(m(b)).\nAnswer: -524*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - r + 4. Let q be o(0). Let c(l) = -q + l + 1 + 3. Let z be c(5). Solve 0 = -2*j + 3 - z for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/9)\/((-4)\/24). Suppose 0 = 4*n - y*n + 2. Is -2\/17 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2388*-71675.\nAnswer: -171159900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11*k + 1. Let y(m) = 126*m + 15. Let z(j) = 12*n(j) - y(j). Give z(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 564214.\nAnswer: 2, 7, 191, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 - -198. Let p = 548\/7 - s. Let w = 25\/9 - 22\/9. Which is the nearest to 14? (a) w (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57376?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*h - 15*h - 9591. Let s = 417 - h. Which is the third biggest value? (a) 5 (b) s (c) -5 (d) -4\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1269)\/(-9)*4\/3588. Let j = s + 7\/23. Is j equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 32965 = 11*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1223 (base 4) to base 9.\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/6*10\/15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105*k**3*t**3 + 2*k**2*t**3 - 2*k*t**2 - 7*k*t + 2*t**3 wrt k.\nAnswer: 630*k*t**3 + 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/11, -3, -0.7, 4, -1027 in decreasing order.\nAnswer: 4, 12\/11, -0.7, -3, -1027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*f = -47, 3*w - 25 = -0*f - f. Suppose 5*s - w - 23 = 0. Let v(c) = 0 - 3*c + 6 + 6 - 4. Calculate v(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.1 + -2.2. Which is bigger: x or 3\/28?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 596, 1251, 1912, 2579, 3252, 3931, 4616?\nAnswer: 5307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 20. Let m be 1 - (4 - 2 - 5). Suppose -m*r - 110 = -6*r. What is the highest common factor of r and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67152 (base 13) in base 9?\nAnswer: 314436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*x = -6*x - 4390, -x - 3295 = 3*m. Round m to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 1. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 1.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*g**3\/4 + 43*g**2\/4 + 11*g - 3 = 0. Calculate g.\nAnswer: -3, -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35075?\nAnswer: 5, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 29. Calculate r(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 12:14 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 637 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2234 divided by -906\nAnswer: -1117\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 + -22. Calculate the remainder when 43 is divided by 7\/((-14)\/(-6)) + q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a. Let i(f) = f**2 + 11*f - 24. Let s(h) = i(h) + 2*z(h). Let c be (-2)\/17 + 506\/(-34). Does 5 divide s(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1966040 and 2760?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6*z = 3990. Let c = -424 + z. Let t = -229 + c. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**3\/6 - 504185*p**2\/3 - 2352849*p\/2 - 1008363 = 0.\nAnswer: -1008363, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crqpopppppoc. Give prob of sequence qqpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2970 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*x = 2*z - 44*x - 13300, 0 = -4*z - 5*x + 26600. Is z a multiple of 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = g + 2*g + 5*a, -13 = -4*g + a. Suppose -3*d + g*k = -9, 7*d - 2*d = k + 11. Factor 25 - s**3 - 5*s**d - 3*s + 20 - 45 + s**4.\nAnswer: s*(s - 3)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2) - 124*133\/8246\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*v + o, 5*v + 3*o = o - 21. Let n = -267296 - -267295. Let h = -48953\/49 - -999. Which is the closest to n? (a) h (b) v (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 7*g + 486. Let a = -115 - g. Suppose -a = 3*i - 56. Solve 8*s - 4*s = -2*c - 10, 0 = -i*s for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w**3 - 184*w**2 + 2*w + 20. Calculate the remainder when 274 is divided by f(46).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -5\/6*c**3 + 0*c**4 + 0*c**5 - 4*c + 0*c**2 + 1\/15*c**6 + 0. Find the second derivative of d(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39314 - 274643\/7. Let i = -79 + h. Which is the smallest value? (a) -0.2 (b) 0.34 (c) -0.5 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z + 5*z**2 + 14*z + 2*z.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*2*(-13)\/(-117).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -4\/3 (b) -1\/4 (c) 5 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u. Suppose 0 = -2*k + 3*b - 15, k - 13 = 3*k - b. Let y be (-24)\/(-16)*(-8)\/k. Let m(d) = -5*d**2 - 5*d**2 + 4*d**y + 5*d**2. Determine g(m(r)).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 19*g + 90. Let x be t(-7). Solve 0 = x*f - 19 + 49 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/27 and 3542\/(-420) + (-3)\/(45\/6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -8*n + 4*n. Suppose -5*b = -0*b + 4*v - 27, -4*b = -2*v - 32. What is the remainder when n is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*u + 2. Suppose 2*k - 2 = x - 6, 4*x - 3 = -5*k. Find the second derivative of x*p**u + 3*p - 3*p + p wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -382.\nAnswer: -382.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235.99 + 236. Which is smaller: -5 or n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5569*b**3 + 5 - 9 + 5630*b**3 + 4.\nAnswer: 61*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2853 - -2?\nAnswer: -2851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -104*j - 10133. Give g(-96).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2293*u**3 - 4064*u**2 - u + 32396344.\nAnswer: -6879*u**2 - 8128*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 0*r**2 + 3*r**2)*(-1 - 2*r**2 - 3 + 5*r + 5).\nAnswer: -6*r**4 + 15*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.944753 + 0.9297. Round i to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2115 - 106?\nAnswer: 2006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 197888 - 197888.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.64 - -0.64. Which is the smallest value? (a) 0.5 (b) y (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 25*w - 20*w + 19 wrt w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Let i = f - 0. Let o = i - 4. What is the biggest value in o, 3, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 1 + 2 + (-96 - -90)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 - 4)*(8 - 8 - 3*k)*(2 - 9 + 1 + (5 - 2 - 4)*(2 - 1 + 1)).\nAnswer: -48*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26261.979562402 and -0.5?\nAnswer: 26261.479562402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (42\/35)\/((-2)\/(-30)). What is the common denominator of 2 - (93\/n + 1) and 1\/(-4)*-6 - (-248)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**8\/2240 - 23*p**5\/120 - 2*p**4\/3 - 14*p. Let d(s) be the third derivative of n(s). Differentiate d(f) wrt f.\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 17. Let t(y) = y + 9. Let q = -98 + 104. What is q*h(o) - 11*t(o)?\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 - 306?\nAnswer: -325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 0 + 0*i**3 + 246*i**2 + 0*i + 0*i**4 + 1\/60*i**5. Let a(v) = v - 8*v - 2*v. Determine m(a(n)).\nAnswer: 81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**3\/2 + 2*f. Let o be y(4). Let x(l) = -l + 13. Let g be x(o). Which is bigger: g or 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 2. What is the units digit of d + 4 + -1 + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2134.98 + -2158. Let n = -22.9 - v. What is the biggest value in 1\/2, 0.4, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - -597) + 0 + -2 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h**2 - 4*h + 9. Let u(a) = -a**2 - 1. Let y(n) = 6*u(n) + v(n). Let c be y(2). Solve b + 18 = 5*q - 0*q, c*b - 10 = -q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - g**2 - g. Suppose 0 = 5*m - 44 - 26. Let k be (-80)\/(-35) + (-4)\/m. Let o be n(k). Solve v + 7 = -o*p, -1 = -5*v - p - 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirteen eighths of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 + 521*r - 168 + 3506*r + 78.\nAnswer: 4027*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*p + 22. Let k(r) = -4*r**2 - 4 + 4*r**2 - r**2 + 6*r. Let t be k(p). Solve -t*l = -0*l + 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -15, -2, 3 in decreasing order.\nAnswer: 6, 3, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2809 + 4900 + s**3 - 3*s**3 - 2815 in the form n*s + y*s**2 + o + f*s**3 and give o.\nAnswer: 4894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 11244.891 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**3\/2 - 11*t**2\/2 + 19*t. Give v(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 10\/(180\/129).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 299, 290, 269, 230, 167, 74?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, 4, 1, -537, 152 in descending order.\nAnswer: 152, 4, 1, 0.4, 0, -537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53930 = 17*l - 86541. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*z = 304*z + 77 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 6*g**2 + 7*g + 5. Let o be n(-7). Let m(t) = o*t**2 + 17*t - 17*t. Let q(y) = -y. Calculate m(q(r)).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = 2*d, -5 = -3*s - d - 0*d. Let g(m) = 0*m**3 - 5 + 9 - m**3 + m. Let u be g(s). Put -4, 1, u in descending order.\nAnswer: u, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(85)*-1)\/(-4*(sqrt(500)*2 + sqrt(500) - sqrt(5))) + -1.\nAnswer: -1 - 2*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -558, -1110, -1660, -2208, -2754, -3298?\n\"Answer: m**2 - 555*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -13085?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237134*a - 78991*a - 79034*a - 79040*a.\nAnswer: 69*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 150137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 4*j - 18. Let m = 24 + -15. What is the highest common factor of j and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.93706777 to one decimal place.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 580190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -y**10\/75600 + y**9\/15120 - y**8\/10080 - y**5\/30 - 3*y**2. Let x(j) be the third derivative of o(j). Factor x(z).\nAnswer: -2*z**2*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*h + 5*h - 35 = 0, -5*h - h + 55 = 12*l - 11*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*v - 39*v**2 + 12*v - 12*v wrt v.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 10. Let c = p + -2.1. Let k be -4 + 4 + -2 - -9. Is c at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 34 - 9. Solve -y*q = 3*f - 25, -4*f - q - 2 + 7 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (5 + -15)) + 4 + (0 - 6) + 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6788 times -9?\nAnswer: -61092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*r = -2713689 + 291208. List the prime factors of r.\nAnswer: 19, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2*c**5\/5 + 154*c**3\/3 - 1716*c**2 + 179. What is the second derivative of s(z) wrt z?\nAnswer: 24*z**2 + 308","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93985569?\nAnswer: 3, 3480947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**18*x)**(-10\/13)\/((x*x**(3\/4)\/x)\/x*x*x*(x**(-12)*x)\/x*x) assuming x is positive.\nAnswer: x**(-279\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 1. Let f = z + -9. Let t = -0.4 - -0.7. Which is the closest to f? (a) t (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -401 + 531.5. Let n = 130 - c. Let m = -491\/198 + -2\/99. What is the third biggest value in m, 3\/4, 50, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2897791 is divided by 1447414.\nAnswer: 2963","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*w + q - 41, 0 = -5*w + 5*q - 68 + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 475 - 387 = -6*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -92409 smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196 by -49.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156 + -155.9. What is the closest to x in 5\/3, 2\/17, 1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0179 - 0.0179. What is the nearest to s in -1\/7, 1, 3, 2\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -904 + 99*u**2 + 68*u**2 - 57*u**2 - 2*u**3 + 592 wrt u.\nAnswer: -6*u**2 + 220*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120435*a**4 - 90*a - 13.\nAnswer: -1445220*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_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 0 + 3 + -2 + -2 - 8.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 + -112. Suppose -c*w + 6*w = -560. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -620\/131 or -4?\nAnswer: -620\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 188167, 376345, 564549, 752791, 941083?\nAnswer: 1129437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, a: 1, q: 2}. What is prob of sequence qqa?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113031 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 17? (a) 0.3 (b) -1.725 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*u - 139*u - 1152*u - 87*u - 327*u.\nAnswer: -1936*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-2)\/(-12) + (4 - 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 57 - (-3036)\/(-69) - (-843)\/(-65)\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28c70 - 4796?\nAnswer: 244a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11087, -44552, -100387, -178592, -279167, -402112?\n\"Answer: -11185*n**2 + 90*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 326 and -4?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 13*i + 9 = -r, 4*r = 3*i. What is the nearest to i in 5, 0.3, -2, -0.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n - 3*n + 1 - 2*n - 1 + (0 - 3 + 1)*(-2*n + 0*n + 3*n) + 1 + n - 1)*(8 - 25 + 5 + (-6 + 4 + 3)*(0 + 5 - 7)).\nAnswer: 70*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 11) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -1 (c) -65840\/7 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -176 + 180. Suppose w - n*w = -9, 4*k + 4*w = 8. Put 5, -5, -6, k in increasing order.\nAnswer: -6, -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - -2*sqrt(91)*-2) + sqrt(91) + (sqrt(91) - (sqrt(91) - (sqrt(91) - 4*(sqrt(91) - sqrt(91)*2)))))\/(sqrt(84)\/(3*sqrt(768))).\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 - 5*x - 6. Let r(h) be the third derivative of -h**6\/24 + 11*h**4\/24 + 13*h**3\/6 + 7*h**2 - 21*h. Calculate 13*g(t) + 6*r(t).\nAnswer: -4*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 23 = -d + 6*d, -3*k + 26 = 5*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*a + 5*a - a)*(3*a - 5*a - 5*a) + 0*a**2 - a**2 - a**2)*(4*a**2 - 3*a**2 - 2*a**2 + (0*a - 2*a + 4*a)*(0*a + a - 2*a)).\nAnswer: 48*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4 = 4*q - 9*q, -4*c = -4*q - 8. Suppose r - 565 = h + c*h, 2220 = 4*r - 2*h. Is r a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = 5*d + 15, -2 = 3*d + 10*v - 14*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 5160 + 12850 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 47*b + 2926 = 0. Let d(n) = 3*n - 72. What is the remainder when b is divided by d(38)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 20*s**2 + 162*s - 225. Calculate a(-9).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 668656 and 1264.\nAnswer: 1264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1746 - -1750. Let f be (-7)\/(-28) - 6\/(-8). Sort f, c, -0.2, 1\/2 in ascending order.\nAnswer: -0.2, 1\/2, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + (sqrt(2)*-2)**2 + (sqrt(50) - (sqrt(50) + sqrt(50)*-1))**2 + sqrt(1782)\/sqrt(11) + (4*sqrt(12))\/sqrt(6).\nAnswer: 13*sqrt(2) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -67. Let c = v - 26. Let g = -17.5 + c. What is the biggest value in -2\/9, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1271155?\nAnswer: 5, 31, 59, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 2*v**2 + v - 1. Let u(h) = -4*h**3 - 3*h**2 - 9*h + 9. Let a(z) = -3*b(z) - u(z). What is a(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35021.44 hours to microseconds.\nAnswer: 126077184000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15 = -8*q. Suppose 5*f - 147 = -m + 13, 3*f + 4*m = 96. Suppose -o + q*o = f. Solve o*v + 10 = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t**3 - 10*t**3 + 6*t**3 - 3*t**3 + t**3.\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1679584\nAnswer: -335916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 8*h**2 + 20*h.\nAnswer: -h*(h - 2)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a. Let o(c) = -5*c + 3. Let l(m) = -m. Let w be 4 + -1 - (4 - 4). Let z be l(w). Let n(g) = -g + 1. Let r(x) = z*n(x) + o(x). Calculate t(r(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 13. Is 6*(-2 - z\/(-6)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 106*r**3 + 3*r**2 + 29*r - 70. What is the tens digit of b(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*j + 30*j - 160 = 248 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (56\/(-21))\/(2*2\/(-6)). Suppose -3*b - 43 = -c*k, b + 3 = -2*b. Calculate the remainder when k is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by -12933?\nAnswer: 68\/12933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(378)\/(sqrt(6)*1))\/(sqrt(1296) + sqrt(1296)*-2))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 40 + 16 + 19. Give v(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*f - 10 = 10, -5*k - 55 = 4*f. Let r = -11 - k. Let s = r - -2. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**1*u*u*u**(-10)*((u\/(u**(-1\/8)*u))\/u*u)**(1\/2) assuming u is positive.\nAnswer: u**(-95\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14.8*-23.1981.\nAnswer: -343.33188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 118*h**2 + 233*h - 92. Give p(116).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*b - 1078*b + 277*b + 141*b - 709*b.\nAnswer: -1683*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = 2*p. Let m = p + 2. Solve h = m - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 36*i + 128. Give o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105174 is divided by 780.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00052566638 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 132995 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1274736 and -0.05?\nAnswer: 1274735.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*w = 136*w + 26765. Which is smaller: 3530\/7 or w?\nAnswer: 3530\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 9. Let l be (-33)\/(-88) - 57\/120. Which is the nearest to -1? (a) y (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 640 = -4*j. Calculate the remainder when j is divided by 43.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 795*t**2 - 3*t + 1. Let u(o) = -o**2 + o. Let w(q) = -s(q) - 2*u(q). Let l be w(1). Let g = 2450 + l. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(10)\/sqrt(5) + 5.\nAnswer: sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + s. Let q be n(-2). Let r(g) = -95*g**3 + 50*g**3 + g + 43*g**3 + g**q. Give r(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -116, 1, 1\/4.\nAnswer: -116, -7, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60 + -64 + (4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 15) in base 13?\nAnswer: -8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 1. Suppose -18 = -3*b + 15. What is the remainder when (w\/4)\/((-1)\/(-42)) is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 4*r = 15. Let g = 1.1101 - 1.4101. Which is the closest to -2\/21? (a) g (b) -1\/9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 + 84*l - 179. Calculate p(-44).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1 - 2*p**2 + 3*p - 3*p. Let o = 35 + -11. Suppose 2*g - 6*g - o = 5*l, g - l = 3. What is q(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*z = -16*z - 108 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/13 + -22\/39. Which is the biggest value? (a) -0.4 (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*p**4 + 585*p - 22025?\nAnswer: -24*p**3 + 585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8a1 - 11?\nAnswer: -8b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*x + 40*x - 840 = 0 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -193 - -205. Let b be (294\/i)\/7*4. Suppose -3*r + 19 = 5*y - 9, -2*r - 2*y = -12. Solve 4*u - 15 = r, 3*j = -2*u + b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1397 is divided by 1393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 93.\nAnswer: -8\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 10.5. Let i = -2 - 1. Which is the second biggest value? (a) i (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -6798.\nAnswer: 3399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (2 + -21)) + -2. Let h be ((-42)\/(-28))\/((-6)\/o). Let y = h + 33. Solve p = -5*i + y, -p + 2 + 22 = 4*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 2*x - 8, x + 4 = 5*c + 4*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -478*s**5 - s**2 + 81 wrt s.\nAnswer: -28680*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 0 + 0*c**4 + 0*c**2 + 2\/3*c**5 - 2\/3*c**3 + 0*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 539*i**2 + 6*i**4 + 624 - 132*i**3 + 19*i**4 - 352 - 678*i - 26*i**4 = 0. Calculate i.\nAnswer: -136, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31360, -63194, -95028?\n\"Answer: -31834*f + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(133)*-1 - sqrt(133)) + (sqrt(133) - sqrt(133)*-1)*6)*-3)\/(2*sqrt(42)\/sqrt(24)*5).\nAnswer: -18*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o**(-2\/7)\/o*o)\/o))**(-31\/5))**(7\/12)*((o*o\/(o*o\/(o\/o**(-3))))\/o*o**3)**(-17) assuming o is positive.\nAnswer: o**(-2133\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, 1\/5, -2, 0.01.\nAnswer: -2, -0.14, 0.01, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 10, 5*h + 27 = 3*h - 5*b. Let u(d) = -250*d - 9. What are the prime factors of u(h)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 25.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s**3 + 5*s**2 + s**2 - 7 - 4*s**2 - s**2 + 4*s. Let h(q) = 4*q**3 + q**2 + 3*q - 5. Calculate 7*h(p) - 5*z(p).\nAnswer: -2*p**3 + 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 131, 647, 1501, 2693?\n\"Answer: 169*p**2 + 9*p - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112067973 - 0.2633.\nAnswer: 112067972.7367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - p)*(1 - 1 + 1) - 1 - 69*p + 1 - 3*p.\nAnswer: -73*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 10*u**2 - 38*u + 47. Let a be s(13). What is the greatest common factor of a and 240?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -131 + 131. Solve o = -4*v + 4*n, -v + n = -n - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2087737917 divided by -3?\nAnswer: 695912639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 m, and 1 i when three letters picked without replacement from {m: 4, e: 1, i: 1, k: 2, g: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 1933320?\nAnswer: -1933324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -25. What is the remainder when 933\/(-6)*(-9)\/((-54)\/(-12)) is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - 2. Let o be (-8)\/14*133\/(-38) - -1. Suppose o*x + 4*y = 22, x - 4*y + 0*y = 2. What is a(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4603 is divided by 511?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 5*j**4\/6 + 28*j. Let c(i) = -3*i**2. Give y(c(f)).\nAnswer: 90*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a**2. Let k = -48 - -50. Let d(t) = -18*t**2 + 4*t**2 - 12*t**k. Give d(b(f)).\nAnswer: -104*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/31360 and 5\/46688.\nAnswer: 45754240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352 - 184 = 268*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -32*z**2 + 11*z + 19. Let y(u) = -8*u**2 + 3*u + 5. Let j(q) = 2*w(q) - 9*y(q). Is j(-3) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and -772846?\nAnswer: 11592690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 74219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574*w - 576*w + 2299*w - 573*w - 571*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*y - 58 = 0, 3*u + y + 0*y - 73 = 0. Suppose -4*l + 5 = u. Let d(i) = -1 + 8 - i - 7. Calculate d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -4\/11 (c) 5324\/69 (d) 4 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of s**4\/12 - s**3\/3 - 10*s**2 + 265*s. What is the remainder when 84 is divided by v(-7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**2 + 18*i + 18. Let h(u) = u**2 + 3. Let y(p) = 5*h(p) - w(p). What is the units digit of y(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 5.6. Let p = -0.959 - -1.159. Suppose 0*l + 5*l = 4*l. Which is the closest to 1? (a) p (b) g (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 1. Let d be o(-5). Let m = -6 - d. Let r = 4 + m. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844 = -118*z + 808 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) - (-3*sqrt(2736) + 3).\nAnswer: -3 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*k - 59*k - 120*k - 39*k to the form s*k + o and give s.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -705*f**3 - 895*f**3 + 896*f**3 - 3*f**3 + 0*f**3 + 4*f**3 + (-2*f + 2*f - f**2)*(4*f - 5*f + 0*f) to m*f**2 + v*f**3 + s*f + n and give v.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60667936 and 200592?\nAnswer: 546011424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24796 - 24598) + (-1 - 112).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 196*a**2*y + 492*a**2 - 2*a*y + 1180568*y wrt a.\nAnswer: 392*a*y + 984*a - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4623 by 23.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 - -50. Suppose 4*o - 21 = d. Let p(u) = 4 + 8*u + 0*u - u**3 + o*u - 13*u. Determine p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 15*y + 16. Let s be n(16). What is the common denominator of 91\/18 and (-721)\/(-210) + s + -2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882571691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/480950 and 93\/16929440?\nAnswer: 84647200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 60*b - 184. Determine t(-63).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.0068 times -0.5\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016862.\nAnswer: 2, 3, 7, 11, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -15. Let q(v) = -o*v - 6*v + 16*v + 48. Calculate the remainder when 35 is divided by q(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1328, 2595, 3768, 4799, 5640, 6243?\nAnswer: 6560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2701*i**5 - 2*i**4 + 63*i**3 + 296*i**2 + i - 191.\nAnswer: 162060*i**2 - 48*i + 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 7*s**2 - 4*s - 36. Let o be m(-6). Let f = 11042\/23 + o. What is the closest to -6 in f, -3, 4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**3 - 8*x**2 + 6*x - 8. Let p(i) = 2*i**3 + 3*i**2 - 2*i + 3. What is -5*o(l) - 14*p(l)?\nAnswer: 2*l**3 - 2*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4\/477, 1.032, 0.2, -3\/2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 33421, 4, -1, 5, 2 in ascending order.\nAnswer: -1, 0, 2, 4, 5, 33421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 6 - x**3 + 4*x**3 + 8*x - 2*x**3 - 11*x**2. Let a be r(10). Suppose 4*g - i = 1040, a*i + 534 = g + g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a + 23. Let k(n) = n + 9*n + 2*n + 0*n + 34. Let y(o) = -5*k(o) + 8*r(o). Let h be y(-4). What is the nearest to h in -3\/7, -3, 2\/15?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/242049 and 39\/322732.\nAnswer: 968196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459600 rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 12444 (base 5) to base 8\nAnswer: 1747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqiqniibiiibaiiib. Give prob of picking 1 b and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 111112120122 (base 3) in base 6?\nAnswer: 5413455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c + 3. Suppose 0*n + 4*n - 16 = 0. Let a be n*4\/16 + 2. What is o(a)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2225 + -2185. Let w(y) = y**3 - 22*y**2 - y + 33. What is the remainder when h is divided by w(22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -164 + 317. Suppose z + 4*u - 100 - i = 0, z = 5*u + 253. Let t = -133 - -156. What is the greatest common factor of z and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 x when three letters picked without replacement from {n: 3, x: 5, z: 2}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-71 - (-3 - -1)). Suppose -b = -a + 14. Suppose 3*z - b = 4. Calculate the least common multiple of z and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -66. Which is smaller: 1\/3 or h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6693 divided by 12?\nAnswer: 2231\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/(-180)*5 - 671276\/(-9). Suppose -2*g + 2*z + 55202 = 0, 5*g = 2*z + 63416 + l. Round g to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -101?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -11255, -2, -1, 1 in ascending order.\nAnswer: -11255, -5, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 255563 divided by -23?\nAnswer: -255563\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3132, 6260, 9386, 12510, 15632, 18752, 21870?\nAnswer: 24986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6849 rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/6, 920\/27, -2\/43, -4 in descending order.\nAnswer: 920\/27, -2\/43, -13\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2260a2 (base 11) in base 7?\nAnswer: 3025024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7180*h + 1 + 24566*h - 7174*h - 8234*h to c*h + r and give c.\nAnswer: 1978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 202?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/16*(-320)\/(-34720)*-310?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 16?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 e, and 1 t when three letters picked without replacement from ujptuctuttctjjejc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 8*x - 55. Determine j(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-41586)\/(-84) - (-2)\/(-28). Suppose 23*m + s = 34*m. Calculate the lowest common multiple of 186 and m.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (-2 + -13 - -43).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251304 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.64845 weeks to seconds.\nAnswer: 13092982.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 1, 0.5, 9.3, 0.35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.021, -0.2, -90.88?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 11*q**2 - 10*q - 6. Give o(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79097032, 158194066, 237291100?\nAnswer: 316388134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2 = 10 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7884478 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-10) - 14\/70*-5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 24 = -20*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -9*v**2 + 48*v - 8. Let r(i) = -i**2 + 6*i - 1. Let c(l) = m(l) - 8*r(l). Let p be (-1 - -2)\/((-2)\/(-12)). Let d(k) = 4*k + k + p*k. What is d(c(u))?\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 618713846 by 23.\nAnswer: 26900602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2015681*a + 517297.\nAnswer: -2015681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1724\/12705 - 2\/847. Which is the nearest to -1? (a) 0.51 (b) 0.9 (c) g (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ksoo when four letters picked without replacement from mkkkkkomkmskkskokmkk?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -195.4, -1.69, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 less than -6064.7?\nAnswer: -6064.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 17*i**2 + 30*i - 31. Let o be v(18). Suppose -5*j - o = -5*n, -3*n + 4*n - 2*j = 39. What is the highest common divisor of n and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/7, -3, -5, -0.16 in descending order.\nAnswer: 1, -1\/7, -0.16, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/341 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7277 = b + 5*z, -19*b + 15*b + 2*z = -29152. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 - 2)*(-2 - 1 + 1) - 2 - 1 + 1 + (0 + 2 + 0)*(-4 - 1 + 3) + 0 + 2 + 2 - 1 + 1 + 2)*(5*g**2 + 0*g**2 - 4*g**2) as t*g**2 + l*g + r and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:26 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7475 - 7343 = 44*k. Let d(i) be the first derivative of -1\/2*i**2 - 19\/4*i**4 + 31 - i + 0*i**k. What is d(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297085385?\nAnswer: 5, 41, 127, 11411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160 (base 13) to base 8.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6543 - (-2 - (3 + -4)). Let j = o - -130723\/20. Calculate the common denominator of 0 + ((-149)\/6)\/(-1) and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422 = 5*m + 583. Let h = m + 139. Is (h\/6)\/((-1)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13388804747.59 take away -0.27?\nAnswer: -13388804747.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 - (-49036)\/(-874)) + 8\/(-646)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 72 - 0. Is -5*498*l\/(-30) + 5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:23 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -13207957 in increasing order.\nAnswer: -13207957, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2259163208.\nAnswer: 2, 282395401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -501. Let c = f + -398. Calculate the remainder when 98 is divided by c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-27)*h*h**20)**23)**4 assuming h is positive.\nAnswer: h**(-552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 3*h + 508, 0 = 4*h + 2*a + 750 - 68. Suppose 4*n + 4 = 6*n. Let g = n - h. Does 22 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*u - 827328 = 47*u. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/26 + (-33)\/39?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 o when three letters picked without replacement from nnqdcood?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000104701 rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -17068*f - 30016. Let a(r) = 1552*r + 2728. Let c(z) = -32*a(z) - 3*w(z). Differentiate c(x) wrt x.\nAnswer: 1540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4276, 4339, 4402?\n\"Answer: 63*i + 4213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s - 29. Let a be q(4). Suppose -a*f - 54 = 2*p, -2 = 3*f - p + 43. Let g(m) = 26*m**2. Let r(c) = -5*c**2. Determine f*r(u) - 3*g(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + 11*w + 10. Let i be q(-9). Let f = 14 + i. Differentiate 0 - f - 4*y + 5*y + 4 wrt y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -5, -3, 1 in descending order.\nAnswer: 1, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/2 (b) 193 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5548*m**3*q**4 + 13*m**3 - 20*m**2 + q**4 - q + 3 wrt q?\nAnswer: 66576*m**3*q**2 + 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*f + 10. Let y = f - -2. Solve 0 = y*z - 2*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72026196?\nAnswer: 2, 3, 11, 79, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5635426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*n = 185*n - 600 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -10931 divided by 17\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 129973.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**5 - 318432*q**4 - 12674230446*q**3 + 50701061480*q**2 - 38026512600*q = 0.\nAnswer: -79610, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 6*p. List the prime factors of g(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5624 and 10?\nAnswer: 28120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-9))\/(2\/(-3))*172\/(-86)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -17*p**2 - 5*p. Let x(c) = 288*c**2 + 84*c. Let i(z) = 84*b(z) + 5*x(z). Let n = -11 + 9. What are the prime factors of i(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85843889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 + 112 = -3*s + 2*c, c + 4 = s. Let k(j) = 2*j - j - 5 + 4*j**3 + j**2 - 8*j. Is k(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p. Let s(l) = -72*l**2 + 178 - 364 + 186. Calculate n(s(k)).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -642, -1282, -1918, -2550, -3178, -3802, -4422?\nAnswer: -5038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -43*n - 8. Let z(y) = 11*y. Determine -j(s) - 5*z(s).\nAnswer: -12*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 - (2 + 4 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 10265*h**2. Let c(t) = 5 - 34*t - 5 - 34*t + 66*t. Determine a(c(m)).\nAnswer: 41060*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5152139 (base 10) in base 14?\nAnswer: 98185d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92308 divided by -1.\nAnswer: 92308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12301 (base 4) to base 7.\nAnswer: -1156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 9*k + 16. Let o(c) = 3*c**2 - 28*c - 48. Let z(g) = -4*o(g) - 11*w(g). Let y be z(14). Let d be (0\/1)\/(9 - 6). Solve -y*a - 2 = -d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from uuuo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/7)\/(l**15\/l))**(-49)\/((l**(-7)*l)\/l*l**(4\/3)*l*l**(-2\/7)\/((l*l**4*l*l)\/l)) assuming l is positive.\nAnswer: l**(15077\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 4 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38168293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392) + (sqrt(392) - (sqrt(392) - (sqrt(392) - (sqrt(392) + sqrt(392)*-1)))))*1 + sqrt(392))\/(3*(sqrt(4) + 1*sqrt(100))) + -4.\nAnswer: -4 + 7*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/(264\/320))\/(6\/9).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3792*q**5 + 1672*q - 1448*q - 3845*q wrt q?\nAnswer: -75840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1879, 1899, 1933, 1981?\n\"Answer: 7*a**2 - a + 1873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 6*z. What is the hundreds digit of ((-10)\/(-40))\/((3 - z)\/4044)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -585*j + 597*j = 24. Let d(f) be the first derivative of 30 + 1\/3*f**3 + 3\/8*f**4 - 11\/12*f**j + 1\/15*f**5 - f. Let d(q) = 0. Calculate q.\nAnswer: -3, -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*j**2 - 14*j**3 + 20*j**3 + 75*j**2.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 65874 = -2*o, -63*o + 3*m - 131748 = -67*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -2, -1.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 3629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 577387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 20 = i. Let p be (-1)\/(2\/i) + -2. Suppose 3*l + l - 28 = p. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 287. Give g(43).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 o, and 1 e when three letters picked without replacement from zehohvcc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2 = -f - 21, -3*f + 23 = -2*h. Round h to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 8 = v. Find the second derivative of 0*c**2 - 10*c + c**2 + v*c**2 - 2*c**2 wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25, 4, 2, 0.\nAnswer: -25, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*t - t. Let v be 5\/(-2) - (-2)\/4. Calculate the least common multiple of v - -1 - -23 - 0 and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 10*s**3 - s**2 - s. Let r be j(-1). Let d = 14 + r. Solve 4*k + 0*k + d = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 2\/33, 0.3, 1\/9, 2, 9031?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 8 - (-3 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 4. Suppose 5*s - 16 = -0*x + 2*x, 4*x = -5*s + 28. Let l be h(x). Suppose l*u + 2 = 28. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7\/w*w)**(-46)*(w**(-3))**(-32) assuming w is positive.\nAnswer: w**(-226)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) - (2 + sqrt(833))) + -2)**2 + ((sqrt(833)*4 - sqrt(833))*6 - sqrt(833))**2)*4.\nAnswer: 963012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.038*-182.4597\nAnswer: -6.9334686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**2)*o*o*o)**(2\/15)*(o*o*o*(o\/(o*o\/(o*o**(-1\/4)*o)*o))\/o)**32)\/((o**2*o*o\/((o**(-6)*o)\/o))\/(o\/(o*o**(-1\/3)*o*o)*o**2)) assuming o is positive.\nAnswer: o**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*j = -2*k - 396, 683*k + 4*j + 26 = 684*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4512430 divided by -4512430?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*t + 3 = 0, -2*m = 3*m + 5*t - 15. Suppose m = -p + 10. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/32 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*y + 24. Let s = 33 - y. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -59*t - 1. Let p(j) = -30*j - 1. Let x(l) = -2*k(l) + 5*p(l). Is x(-1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 24*y**2 + 18*y**2 - 59*y**2 + 14*y**2. Let w(s) = 504*s. What is w(x(i))?\nAnswer: -1512*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvtlxvvxxtvvvt. Give prob of picking 1 v, 1 t, 1 x, and 1 l.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 61, 68, 75, 82?\n\"Answer: 7*f + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 4*p + 2*p)*(1 - 1 - 3)*(2 + 0 - 1) + 6*p - p - p + 2*p + p - 2*p + (-1 - 2 + 1)*(0 + 0 - 2*p).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/9 and 83\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**3 - 54*u**2 + 83*u - 29. What is q(-9)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -13. Let g = 0.3 + -0.2. Let w = g + -0.2. Which is the nearest to 0? (a) -1\/4 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*c = -1 - 1, 2*c = -2*a + 2. Let l = 0 + a. Suppose -6*b + 4*b + 8 = l. Sort b, -2, -1 in ascending order.\nAnswer: -2, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1, -2\/11, -2\/3 in decreasing order.\nAnswer: 1, 1\/2, -2\/11, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9580200 rounded to the nearest one hundred thousand?\nAnswer: 9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/45)\/(81\/(-270))*(-666)\/(-4).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, 2, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 117 - 4235*u**2.\nAnswer: -4235*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17054ba (base 12) in base 11?\nAnswer: 2746115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 5*v**2 - v**2 - 1 + (-v**2 + 5*v**2 - 3*v**2)*(1 - 1 + 1) in the form a*v + j*v**2 + t and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**7\/210 + u**6\/60 + u**5\/60 + u**3 + 5*u**2 + 2*u. Find the third derivative of h(a) wrt a.\nAnswer: -24*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) 2\/5 (c) 7 (d) 1 (e) 4 (f) -4 (g) -7.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.007 and 0.8.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 41 and -0.147.\nAnswer: 40.853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000122422 to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213121 (base 4) to base 14.\nAnswer: cc1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.43 - 2.33. Let p = -71 + 70.7. Sort c, -0.4, p, -17 in descending order.\nAnswer: c, p, -0.4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149709 * -27\nAnswer: 4042143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (4 + 4 + -5 - -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 54 + 3 - y - 17 - 27 - 18.\nAnswer: -y - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1492 at least -655095\/439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 102 = -5*g - 121, 0 = -4*a - 5*g - 49 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-16)\/(-20))*96. Let o be q - 3\/((-2)\/2). Round o to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1165 + -259. What is the highest common factor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35374*c - 26 + 2*c**3 - 35374*c - c**3 + 5 - 5 - c**3 + c**3 + c**3 + (0*c**2 + c**2 + 0*c**2)*(-4*c + 4*c + 3*c) - c**3 + 4*c**3 - 5*c**3.\nAnswer: 3*c**3 - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -107a2?\nAnswer: 107a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 109807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.26, 0, -1 in increasing order.\nAnswer: -1, -0.26, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 + 4*y**3 + 22 - 74 + 0*y**2 + 2*y**2 + 21*y to h*y**3 + p + f*y + c*y**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 3336.21492?\nAnswer: -667.242984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**3 + 0*n**3 + 2*n**3)*(-7*n + 2*n + 3*n) + 0*n + n**4 + 0*n + 10447*n**3 - 345*n**4 - 10447*n**3.\nAnswer: -340*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9827800 to the power of 1\/2, to the nearest integer?\nAnswer: 3135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7504.6 - -7509.6. Let g be 2\/(-5)*20\/16. Which is the nearest to g? (a) -0.3 (b) 3 (c) -1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -0*d - 5*d + 2*v, 0 = 2*d - v + 9 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(7\/((-14)\/4)). Let m(o) = o**3 + 10*o**2 + 7*o - 8. Let n be m(-9). Let g be (-4)\/(-5)*(-20)\/(-8). Solve g*z + j*z = n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/936*((-256)\/(-12))\/8?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 665721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + 5 + sqrt(34)\/sqrt(2))**2.\nAnswer: -198 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 26 = -169. Let b be 3\/(-2)*-1*2. Suppose -17 = b*h - d. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 22529, 22527, 22535, 22559, 22605, 22679, 22787, 22935?\n\"Answer: w**3 - w**2 - 6*w + 22535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -43684 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18304293097 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7 + 73*m**2 - 32 - 75*m**2 + 50*m**4 wrt m?\nAnswer: 1200*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 300.87 - 0.87. Let r = -300.000715 + c. What is r rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u - 5. Let k be h(2). Suppose t - 28 = 2*f, -2*t - 5*f = k - 23. Calculate the least common multiple of 16 and t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from cccqqqqcqqcqccqcqcc?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 880151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -55*o**2 - 183*o + 15. Calculate a(-3).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 5*j**2 - 6*j - 23. Let p(l) = l**3 + 4*l**2 - 5*l - 22. What is 5*p(u) - 4*r(u)?\nAnswer: -3*u**3 - u - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11750528 by -367204.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/2360 and 75\/130744.\nAnswer: 653720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -20, -1426 in increasing order.\nAnswer: -1426, -20, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6 - ((-2 - 2) + 15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23523, 23346, 23169?\n\"Answer: -177*s + 23700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175 - 124.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -c - 4, 2*k - 18*c - 11 = -15*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 16*n**2 + 3. Let o be l(-16). Suppose o*d - 47 - 61 = 0. List the prime factors of (-60)\/(-48)*d*1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(252) - (sqrt(252) + -2)) - (sqrt(252) + -3 + 1*sqrt(252))**2 - ((sqrt(252) - (1 + sqrt(252) + -2))*-3*-5)**2.\nAnswer: -1244 + 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3366\/(-56) + (-4)\/16. Let c = y + 123\/2. Factor -6\/7*v**3 - 2\/7*v + c*v**2 + 0.\nAnswer: -2*v*(v - 1)*(3*v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 74\/51, 5, 1\/2?\nAnswer: 74\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 60 = -4*o, 0 = -2*z - 4222*o + 4226*o + 28. Let n = 16 + 68. Suppose 0 = 2*c - c - n. What is the remainder when c is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138455224 to the power of 1\/2, to the nearest integer?\nAnswer: 11767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r**2 - 175070*r + 2802658. Give g(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0012233112 rounded to 5 dps?\nAnswer: 0.00122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 131 = -4*r + 243, 3*m = -r + 89. Suppose j + r = 2*h, -2*j + 3*j = 3*h - 144. What is the remainder when h is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158860?\nAnswer: 2, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29\/6 + -5. Is j not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 - 11*p**2 + 6*p + 33. Let h be i(-10). Let c = 60 - h. Calculate the highest common divisor of c and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14889, -29778, -44667?\nAnswer: -59556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, y: 2, e: 2, g: 1, x: 1, r: 4}. Give prob of picking 3 y and 1 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6664555 is divided by 1208?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((-7)\/(-21) - 60\/(-63)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 3. Let z(k) = 6*k + 5. Let v(m) = -7*r(m) + 4*z(m). Let f be (20\/(-45))\/((-4)\/18). Let d be v(f). Solve -2 = -d*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/13 + 305852*j**2\/13 + 3058670*j\/13 + 7646800\/13.\nAnswer: -2*(j - 152936)*(j + 5)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -40 and -20\/35731 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + -92 + 91?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 213 + -117. Is 32 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*h**3 - 8*h**2 - h - 127.\nAnswer: -42*h - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 4) to base 15\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1628\/127 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -289, -576, -863, -1150, -1437?\n\"Answer: -287*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -28273*t + 64624. Let d(o) = -2*o + 4. Give 48468*d(i) - 3*u(i).\nAnswer: -12117*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/1*75\/1005. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 7*h**3 + 0*h**3 + 9*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/20 + (-6)\/(-4). Let o(l) = 5*l**2 - 2*l + 1. Let k be o(z). Solve -k = m - 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1631 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/824583?\nAnswer: 1\/824583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 2*g**2 + 12*g - 412. Let t be q(0). Let j = 417 + t. Solve -3*w - j*z = -9, -4*z + 2*z - 15 = -5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 + 2 = f, 3*f = -4*d + 3. Let q be (2\/6)\/(1\/9). Suppose 5*m = q*m + 22. Solve y - 3*l = -d*y + m, 3 = -l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 677*-0.1.\nAnswer: -67.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22762 - -10?\nAnswer: -22752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 5:44 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 182539\/8 - 21\/56 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 117727 - -13?\nAnswer: 117742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 3\/2*s**2 - 1\/60*s**6 - 16*s + 0 + 0*s**3 + 1\/30*s**5 - 1\/12*s**4. Let q(b) be the first derivative of t(b). Calculate q(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -116, -701\/2?\nAnswer: -701\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 923316678 is divided by 260?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 666 + -274. Let a = s + -304. What is the least common multiple of 64 and a?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -5 - 4 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 18167*w + 54128. Give q(-3).\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Suppose 4*k + 90 = 7*k. Let o = 34 - k. Solve v = -a*h - 18, 0 = o*v + 3*h - h for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0443 - -0.3443. Which is the nearest to 0.02? (a) -1.9 (b) 0.2 (c) q (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59 or -188?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + h**2 - 4*h**2)*(-h - h**2 + h) + (-h**3 + 0*h**3 + 2*h**3)*(0*h + h + 0*h).\nAnswer: 9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**5\/30 + 5*x**2. Let s(v) = -4*v**2. What is k(s(l))?\nAnswer: -32*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 8:22 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 20*j**3 + 10*j**2 - 8*j - 13. What is p(2)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/((-11)\/4 - -3). What is the units digit of (-4)\/b*(-1 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27037, 27018, 26999, 26980?\nAnswer: 26961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 - 8*g**2 + 88*g + 192 = 0. Calculate g.\nAnswer: -8, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 8:15 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -532 and 0.9.\nAnswer: -478.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + -8 + -5 + 212. What is the hundreds digit of (i\/(-29) + 1*5)*-370?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 27*f**2 + 27*f - 5. Let t be i(-28). Suppose -6050 = -t*y + 1356. What are the prime factors of y?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a**(-4)*(a\/(((a*a**(-5))\/a*a*a)\/a))\/a**5)\/(a**(2\/3)*a\/a**1*a\/(a\/((a*a*a*(((a*a*a\/a**(-3)*a)\/a*a)\/a*a)\/a)\/a))*a**(-3)) assuming a is positive.\nAnswer: a**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*w**4 - 2*w**4 - 3*w**2 - w**2 + 2*w**4 - 1 + 1 + (w**2 + 3*w**2 - 2*w**2)*(w**2 + 0*w**2 + 0*w**2) as z*w**4 + m*w**3 + g*w + p*w**2 + i and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -512.05 - -0.05. Let m = c - -512.00001912. What is m rounded to 6 dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/5, 18\/25 in increasing order.\nAnswer: -0.4, 1\/5, 18\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3014 and 2?\nAnswer: 6028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -17 + 20*u**2 - 133\/3*u**3 + 0*u. What is the second derivative of v(p) wrt p?\nAnswer: -266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 627 = 2*q - 2397. Is 56 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277562, 277575, 277596, 277625?\nAnswer: 277662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 4.463919 tonnes?\nAnswer: 4463.919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 p, and 1 s when three letters picked without replacement from {n: 1, s: 4, p: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*z**3 + 7*f**2*z**2 + 15*f**2*z + 3*f*z**4 + 35*z**3 wrt z.\nAnswer: -12*f**2 + 72*f*z + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20352 and 334218.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 641 - 283. Suppose -f = -5*m - 2*t + t, 2*m + 5*t = 134. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329290 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tee when three letters picked without replacement from {e: 2, t: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 22.22. Let g = 0.487 - 0.587. Sort 0.2, g, o in descending order.\nAnswer: o, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 0 - 12) + (-33456)\/(-3198)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-60)\/50)\/((-2)\/295). Let p(g) = 5*g**3 - 42*g**2 + 50*g - 4. Let z be p(7). Calculate the highest common factor of z and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -482145*k + 1446495. Give l(3).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-2)*5170\/(-2585)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/(sqrt(12)*2) - sqrt(24))\/(sqrt(48)\/sqrt(6)*-6 - sqrt(8)) + (0 + sqrt(432) + -3)**2 + 3 + (-2*sqrt(30))\/sqrt(10).\nAnswer: -1035*sqrt(3)\/14 + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - -321?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 y when two letters picked without replacement from nynyyyn.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 159 = j. Let h = j + -23. Let u be (-2)\/(-2) + (-16)\/(-2). Solve -2*d - u = -t, 0*d + 4*t = 5*d + h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -195940 (b) 1\/6 (c) -2 (d) -11\/4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 203*f - 208. Let o(d) = 562*d - 626. Let i(n) = 11*m(n) - 4*o(n). Give i(16).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/10)*v**31)\/((v**(-24)*v)\/v*v\/v**24) assuming v is positive.\nAnswer: v**(783\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -523 + 274. Let h = 487 + c. Is h a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39189, 156624, 352353, 626370, 978669, 1409244, 1918089, 2505198?\nAnswer: 3170565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 1 - -2)\/1. Let d = 19 - i. Solve 4*g = 4*j + d, 5*j - 7 = 4*j - 5*g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*p**2 + 68*p - 22117 wrt p?\nAnswer: 16*p + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1188 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -12, 0.06, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -8*u**2 + 5. Let s(a) = -2*a - 411 + 411. Determine b(s(j)).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 5*p - 255, -118*p - 469 = -5*r - 117*p. What is the lowest common multiple of r and 399?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3}. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccywcwwwqwcctw. What is prob of picking 1 w, 2 c, and 1 q?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g - 661*g**2 + 8*g - 5*g.\nAnswer: -661*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-nine halves of a litre in millilitres?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01051 - -4.01149. Let o = k + -0.022. Is o greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -52*f + 2. Let k(l) = 1980*l - 74. Let d(g) = -k(g) - 38*w(g). Let o(q) = -4*q + 4. Let b(i) = -i + 1. Let t(h) = 3*b(h) - o(h). Give -d(z) - 2*t(z).\nAnswer: 2*z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -761\/31 - -3\/62. Suppose x - 2*x = -6. Calculate the common denominator of 27\/(-30)*(-62)\/x and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1358 + 1354. Let x = 9 - 25\/3. Sort 0.2, 3\/8, c, x in descending order.\nAnswer: x, 3\/8, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 231\/(-110) - (-10)\/4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -67460\/5307 or -12?\nAnswer: -67460\/5307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 764111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, r: 3, v: 2, i: 3, h: 1}. Give prob of picking 1 r and 2 v.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence siss when four letters picked without replacement from isiiiiss?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5681, 5688, 5695, 5702, 5709, 5716?\nAnswer: 5723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/3 (b) 0.2 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**0*t*t*t**(-2\/5))\/((t*t*t\/(t**6\/t))\/t**(-2\/5)))\/((t*t**(-1\/4))**(-5\/12)*(t**(-4)*t)\/(t**(-2\/9)*t)) assuming t is positive.\nAnswer: t**(5969\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41021 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 + o + 5*o**2 - 9*o**2. Let d be l(-3). Suppose 4*a - 38 = -d. Calculate the remainder when 38 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + u**2 - 2 + u + u. Let r = 37 + -41. Let o be z(r). Solve 5*y = -o, -y - 3 = -d + 2*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -s**4\/6 + 17*s**3\/3 - 21*s**2\/2 - 1435*s. Give i(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + 6*t**2 - 11*t + 30. Let l be v(-10). Is 16 a factor of (l\/15)\/(-3*(-8)\/(-2016))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -8*444\/(-72)*3?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + h**2 - h. Let j(n) be the second derivative of n**4\/6 - n**3\/3 - 17*n. What is 2*c(m) - j(m)?\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1850356019.\nAnswer: 47, 39369277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*t + 5*a, 555*t - 5*a = 558*t + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 372 - 218. Let x = q - 89. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-5)\/((-10)\/124). Suppose -73 = -4*h + n. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -482767?\nAnswer: 3\/482767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/16 + (-42)\/(-8) + 0. Let p be (w\/((-25)\/20))\/((-2)\/7). Calculate the highest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*2.4\nAnswer: -38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001665426383 to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 520, 1049, 1578?\n\"Answer: 529*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2, -156532, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 4:06 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x. Let f(v) be the second derivative of 3*v + 0 - 1\/6*v**3 + 0*v**2. Give f(w(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2208.98*1.86.\nAnswer: -4108.7028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.88654 - -10.99356. What is i rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -35*q + 38*q. Let l be (-1)\/(q + 3 + -3). Is l < 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 481 + -416. Calculate the remainder when 1020 is divided by p.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 6*v - 5. Let d(s) = -s**3 + s**2 + 4*s + 3. Let a be d(-2). Suppose -a*w + 10 = -5*w. Give g(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-99)\/11880)\/((-2)\/104). Which is greater: b or 0.01?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 34 + 6 = 0. Suppose -a = g + 3, -3*a = -9*g + 7*g - 16. Solve a*k = 7*k - c for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*f + 13 - 13 - 868*f + 286*f + 288*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 4*q - 12003 - 11832, 5*t + 2*q - 23845 = 0. What is the highest common factor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27275617 to the power of 1\/2, to the nearest integer?\nAnswer: 5223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 3*n + n)*(-4*n + 2*n + 0*n) - 2*n**2 - 2*n**2 + 2*n**2 - 363 - 75*n**2 + 363.\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Let z be (-16)\/12 - (2 + -4). Let f be (7\/(-2))\/7*(-3 + 5). What is the nearest to -1 in f, z, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.05 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*f = 10687, -3*d + 4*f + 2230 + 29831 = 0. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((93\/(-248))\/((-5)\/(-50)))\/((-2)\/(-8)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, v: 6, s: 1, z: 2, n: 5}. What is prob of picking 1 z and 1 l?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/24 and -2 + 146\/6 - 18\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -143850000 to the nearest one million.\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3231 (base 9) to base 3.\nAnswer: 10021001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1155.000959 - 1155. What is a rounded to four dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 5*c**3\/2 + 9*c**2\/2 + 14*c. Let d(l) = -7*l - 4. Determine 13*d(n) + 6*o(n).\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2943021)\/(-71)*((-2 - -1) + 2) a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t**2 - t - 14. Let f be a(0). Let y = f + 26. Let r = y + -7. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -5. Is 11 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807179744 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 12*k. Let h(u) be the first derivative of 1\/3*u**4 + 0*u**2 + 0*u**3 + 5*u + 19. Let g(q) be the first derivative of h(q). What is g(z(d))?\nAnswer: 576*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 14 = -2*m. Let q = 5 - m. Let x(i) = -3*i. Calculate x(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awa when three letters picked without replacement from aaaawwaaaa?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 4:29 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 1\/7, 2\/7, -0.07, 0.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -8*o**3 - 14*o**2 + 5*o + 6. Let c(z) = 3*z**3 + 5*z**2 - 2*z - 2. Calculate -11*c(y) - 4*m(y).\nAnswer: -y**3 + y**2 + 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 4) + -2 + 154624\/16?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -63054 (base 8) to base 6\nAnswer: -321032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -5662?\nAnswer: 5664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0, -1659515 in decreasing order.\nAnswer: 8, 0, -1659515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.7588 * -0.5\nAnswer: 1.8794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*l**5 - 3*l**2 + 29 - 29 - 19*l**2 wrt l.\nAnswer: 1140*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**9\/1512 - r**6\/360 + r**4\/4 + 7*r. Let q(g) be the third derivative of u(g). What is the second derivative of q(l) wrt l?\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/35)\/((-9)\/(675\/12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 + 17*r + 40. Let q be s(-8). Suppose h + 3*d - 17 = 0, 0*h + h + d - 7 = 0. Let o be h\/11 - q\/(-66). Which is greater: o or 1\/11?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282400 rounded to the nearest 1000?\nAnswer: 282000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-8))\/(-2*6\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 185 = 55. Let m = -10 - -13. Suppose -2*o + 2*y + 50 = 2*o, -m*o - y + 35 = 0. Calculate the highest common divisor of j and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1073*v**4*x*y + 1159*v**2*x**2*y + 45*x**2*y + 2142*x**2 + 4*x - 2*y + 2 wrt v?\nAnswer: 4292*v**3*x*y + 2318*v*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 15 = 0, -5*w - 38*h = -34*h - 25. Solve -w = -10*j + 31 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 19 = 3*h - 11, -h - 3*j = -20. Let o(v) = 8*v - 33. Let t be o(3). Which is the nearest to -0.1? (a) t (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*w - 30 = -381*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45.32 + -41.32. Suppose -5*k - 4*l = -56, k - 2*k - 2*l = -16. Let y be 20\/(-8)*k\/130. What is the fourth smallest value in -4, y, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4401360706 plus -0.0917?\nAnswer: -4401360706.0917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c + 17 - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 124740277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.297 - -0.097. Let o = -0.4 - -0.2. Let i = o - -0.6. Which is the biggest value? (a) r (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34333 is divided by 324?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-4) + ((-2044)\/8 - -2). Let o = l - -418. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/11)\/(v**(3\/7)*v)*v**(-1\/4)\/v*v\/(v*v\/(v*v\/v**(1\/10))) assuming v is positive.\nAnswer: v**(-2459\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -728900 to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342) - (-5*-2*sqrt(342) + sqrt(342)) - sqrt(342))\/(sqrt(384) + 2*sqrt(384)))\/(6*-4*sqrt(12)*1).\nAnswer: 11*sqrt(19)\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000176095 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -20858\/2673?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33\/344 + -13079\/1720. Calculate the common denominator of p and 2 - (-1)\/((-48)\/57).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 4, 1 in decreasing order.\nAnswer: 4, 1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.8660194 and -0.43.\nAnswer: -13.2960194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.14 - -2.14. Which is the third biggest value? (a) t (b) 0.5 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3194\/5 + -639. Sort -3\/2, -2\/75, 1, l in descending order.\nAnswer: 1, -2\/75, l, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 150 and -0.24.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) - 58\/(-154). Let i(z) = -z**2 - 17*z + 3. Let v be i(-17). Let d be -25*(-1)\/7 - v. Which is the nearest to 2? (a) 2\/5 (b) p (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*p + 19 = -0*d, -36 = -3*d + 5*p. Suppose 4 - d = -3*f. Suppose -11 = -s - 5*u + 4, -5*s = 2*u - 6. Does f = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21488?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1145 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*x - c = -235*x + 8, 4*c = -8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*t + (4 - 1 - 2)*(-3*t - 14*t - 4*t).\nAnswer: -23*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((51\/(-68))\/(1\/(-4)))\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(6\/7)*a*a**7\/a*a*a\/(a\/a**(-4))*(a\/(a\/a**(-1\/3))*a)\/a)**34)**(1\/16) assuming a is positive.\nAnswer: a**(1615\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -423.8 - -424. Let v = -1150\/7 - -164. Let x = -0.9 - -1. Which is the biggest value? (a) j (b) v (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 5. Let o be m(0). Let b = -9529 - -9536. Put 2, o, b, 0 in descending order.\nAnswer: b, 2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 6*o**2 + 8*o - 7. Let i be n(7). Suppose 0 = -2*x - i*x + 130. Let s be (-598004)\/(-26) - 10\/x. Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 38*w + 3*w.\nAnswer: -39*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1705535 or -11938744\/7?\nAnswer: -11938744\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312383799?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 5:02 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 8. What are the prime factors of 167\/5 - 6\/t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/7))**(-2\/113)*s**(-3)\/(s\/(s*s**(4\/5))))\/((s**5\/((s\/s**(-3\/4))\/s))\/(s**(-1\/7)*s**(-7))) assuming s is positive.\nAnswer: s**(-215239\/15820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 92873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -92\/39 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*i = 899, d + d + i - 893 = 0. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -158, -5, 5 in ascending order.\nAnswer: -158, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 871 + 1846 - 77 = 132*n. Solve -8 = 22*v - n*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:52 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 33*f + 26. What is j(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -223, -246, -291, -364, -471, -618, -811, -1056?\n\"Answer: -w**3 - 5*w**2 - w - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + 1 + sqrt(1100))*-1 - 6*(sqrt(1100) + -2*sqrt(1100) + 4)) + 2)**2.\nAnswer: -2200*sqrt(11) + 27984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Put 3, f, -1 in increasing order.\nAnswer: f, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4 - 3*a**2 - a + 0*a**2 + 2*a**2 + 5*a. Let d be m(4). Solve 0 = -3*z + z - d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -91*f + 133*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of 183*u**6\/10 + 109*u**4\/6 + 2*u + 935. Find the third derivative of x(b) wrt b.\nAnswer: 13176*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 98*j - 766. Let f be g(-56). Solve 33*i - f*i - 105 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44136757 is divided by 235.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -6, -1748, 0.1, 3, 30, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 574 and 19.\nAnswer: 10906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -827, -1393, -3147, -6683, -12595, -21477, -33923, -50527?\n\"Answer: -99*u**3 + 127*u - 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.45? (a) -13 (b) -30 (c) 9 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 182*6\/2700 - (-15)\/135*-4?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 0 + 9 - 4 + 6 - p. Let f = 11 - 19. Is o(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*b**3*s**2 - 22*b**3*s - 11*b**3 - 2*b**2*s**2 + 111*b*s**2 + 86*b*s + b - 45*s**2 + 5*s - 2 wrt s.\nAnswer: -18*b**3 - 4*b**2 + 222*b - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((522\/(-18))\/261)\/(1\/(-21)).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2. Suppose -86*v + 8*v = 45*v. Let s(f) be the third derivative of 43\/24*f**4 + v*f**3 + 0*f + 19*f**2 + 0. Give b(s(d)).\nAnswer: -3698*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*g**2*k**2*v + 10*g**2*k**2 - 3*g**2*k + 2*g**2*v + g**2 + 72166*g*k*v + 377*k**2 wrt k.\nAnswer: -46*g**2*v + 20*g**2 + 754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/45 and 3\/1*(-10)\/24?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 16 - 0. Let i = y - -23. Suppose -2*a + i = -v, 2*a + 0*v = -2*v + 22. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2301303 + -10?\nAnswer: -2301313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - i - 8. Let o(x) = -5*x**2 + 2*x + 20. Give 2*o(p) + 4*r(p).\nAnswer: -6*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 33, -0.1, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (35\/15 + 3\/(-9)). Let m(a) = a. Let d be m(i). Solve d = 4*f + 2*j - 28, 5*f + 0*j = -5*j + 45 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**7\/126 + 13*m**6\/90 - 53*m**5\/60 - 77*m**4\/36 + 26*m**3\/9 + 32*m**2\/3 + 8038*m. Let n(c) = 0. What is c?\nAnswer: -16, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -4697?\nAnswer: 4\/4697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 + 2410 = 13*o - 5207. What is the lowest common multiple of o and 110?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 10) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**2 + 2*d + 2. Let g(i) = 617*i + 3653. Let l be g(-6). Let v(b) = 0 - 10*b - 42*b + 168*b**2 + 3*b - 49. Calculate l*j(z) - 2*v(z).\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(245) + 4 + (sqrt(245) - (-4 + -2*sqrt(245)) - sqrt(245)))**2 + (sqrt(245)*-1 + 4 - sqrt(245)) + 3*(0 + sqrt(245)) + 5.\nAnswer: 7*sqrt(5) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - 8*y**2 + 5*y - 3. What is g(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4921552 and -53\/183640.\nAnswer: 24607760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14610 = 3021*m - 3988*m - 4940 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -31.6. Which is the biggest value? (a) 4\/3 (b) 0 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12309*f**2*x**2 - 64*f**2 + 187*x**2 + 51597 wrt x.\nAnswer: -24618*f**2*x + 374*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17044.06 rounded to the nearest 10?\nAnswer: 17040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50701423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 9*w**2 - 7*w + 3. What is the hundreds digit of z(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 7*d**3 + 9*d**2 + 7*d. Let h be 30\/15*(-9)\/2. Let m(i) = -3*i**3 - 4*i**2 - 3*i. Calculate h*m(n) - 4*t(n).\nAnswer: -n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.794 and -7.\nAnswer: 19.558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5 - 34*x**4 + 60*x**3 + 4*x**2 - 62*x + 30.\nAnswer: 2*(x - 15)*(x - 1)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 9\/8*(137 - 135)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/8 and 75\/1652.\nAnswer: 3304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (18*20\/(-1080))\/((-1)\/(-126))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 17*i**2. Suppose 0 = -z - 3*z. Let q(l) = z*l + 8*l - 6*l + 0*l. Calculate n(q(d)).\nAnswer: 68*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -5 - 6 + 2 + 14*w - 3*w. Let q be o(1). What is the highest common factor of q and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6464\/59136 - (-28)\/(-1078)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1810 (base 16) to base 9.\nAnswer: -8404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 3. Let k = -91 - -94. Let p(t) = -10 + 0 + k + t + 5. What is 3*f(z) - 4*p(z)?\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*f + 144108 = -41051 - 22291. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*u + 15805 = -14704 + 3349 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 323 and -1668?\nAnswer: -538764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -4. Suppose 0 = -5*s + 4*u - 3 + 27, -3 = -s - u. Let c be (0 + (-4)\/s)*-1. Sort p, c, 2 in descending order.\nAnswer: 2, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*s**3 - 412*s**3 + 192*s**3.\nAnswer: -17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 519220 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: Is 2545117853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 267443999 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.638 - -0.138. What is n rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/5, -174, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2769 is divided by 309?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (78 - (91 + 10)) + (54 - -1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1480569.10000048 + -1480570. Let m = 0.9 + o. Round m to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {o: 2, l: 2, h: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 702967516?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-72)*3)\/(5\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.3, 0.3, 1\/2, -160575?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Let j(d) = 3*d**2 + 2 + 2*d**3 - d**s + 0*d**2. Suppose 17 = l - 5*f, 0 = 3*l - 3*f - 3. Give j(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 7*o - 6. Let w be z(7). Let x be (2\/3)\/(w\/9). Sort x, -0.4, 4\/9.\nAnswer: x, -0.4, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16777.2 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02129 - -0.0262. Round v to 4 dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*v = -43, 0 = -2*q - 693036*v + 693031*v - 95 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91137 = 77*l - 60*l. Is (550\/75)\/(2\/l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggcczzzzgllllc. What is prob of sequence cccl?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -121\/8, 4\/9, 0, 6?\nAnswer: -121\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -4. Let m be (-7349)\/((l\/46)\/(-5)). Let o = 255027 - m. Round o to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(5) - (sqrt(45) - sqrt(5))) + sqrt(5) + -5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 119372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-15 - -13)) + 3*93\/36?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10230061, -20460121, -30690181?\n\"Answer: -10230060*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -6*o + 367. Let a be o\/15 + (-2)\/(-10). Suppose a*x + 51 - 151 = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*f**2*n*x**2 - 2*f**2*x - f**2 + 3*f*x - 252*n*x**2 + 4*n + 2*x wrt x?\nAnswer: -86*f**2*n - 504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 24.65, -3, 1, 0.04271?\nAnswer: 0.04271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 59729.16 millilitres?\nAnswer: 59.72916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 25, 8*u - 9*u - 40 = -5*a. Suppose -5*d + 4*h - a*h = -20, -5*h = -2*d - 6. What is the least common multiple of d and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (0 + -4*10\/(-8)). Sort 10, q, 0 in decreasing order.\nAnswer: 10, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111 (base 2) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2 - (-1333)\/62. Suppose 0 = -5*o + 20, -8 = 4*b - 5*o + 12. Let x be b*(2 + -1 + -2). Solve x = -5*v + v - u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, 0.1, -433, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 775.4425g in tonnes?\nAnswer: 0.0007754425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d - 500*d**3 - 107*d**3 + 143*d**3.\nAnswer: -464*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 26, 7, 97, 3 in descending order.\nAnswer: 97, 26, 7, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1545415632 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**2 - 59955*a - 15536950 = 0. What is a?\nAnswer: -11726, -265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3051 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0\/2 - -1)*0. Let c be (1 + m)\/(1 - 0). Put -4, -1, c in ascending order.\nAnswer: -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3649043 by -6.\nAnswer: 3649043\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 3. Let s be c(0). Suppose p = -2*y + s, 4*y + 0 = 2*p + 2. What is the tens digit of (-1)\/(24\/(-22) + y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 2*n**2 - n. Let z be t(2). Let p(a) = a**2 - 5*a - 4. Let i be p(z). Let u = 0.3 - 0. What is the nearest to 1\/3 in 1\/3, i, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1a511 (base 11) to base 7\nAnswer: -146201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5207?\nAnswer: 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 256 - -59. Let i = 311 - u. Put 4, i, -1 in ascending order.\nAnswer: i, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k + k + 4*k)*(-3 - 1 + 3)*(-3*k + 9*k**3 - 15*k**3 + 7*k**3) to the form n*k**3 + g*k**2 + x*k**4 + y*k + h and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1758 is divided by 576?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -5*c - 804, -2*b + 130 + 419 = c. What is the greatest common divisor of 39 and b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(216))\/sqrt(12) - (sqrt(162) + sqrt(162)*-2))\/(-5*(sqrt(864) - (2*sqrt(864)*3 + sqrt(864)))).\nAnswer: sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -3. Let h = -791 - -795. Which is the third smallest value? (a) f (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 6. Calculate the lowest common multiple of j and (-12)\/42 + 23\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 730856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16655?\nAnswer: 5, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llllddlllldl. What is prob of picking 1 d and 1 l?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976 is divided by 475?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 6 - 14. Let f be a\/3*18\/12. Suppose -6*l + f*l = -32. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m - 9. What is the first derivative of s - s + s**3 + 2 + s**m wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*o = 244 - 5589 - 9415 for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(-6*(0 + sqrt(304)) + (sqrt(304) + (sqrt(304) + 0)*-1 - sqrt(304)) - -4*(sqrt(304) + (1*sqrt(304) - sqrt(304)) + -4 - sqrt(304))))**2.\nAnswer: -1136400 - 67200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326 - 1524 = -108*b + 1598 + 116 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*i + 3058 - 383 = 0 for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**4)\/(d\/(d\/(d*(d\/d**(-2\/5))\/d*d)*d)))**(3\/10)\/(((d\/d**(-2\/9))\/d**(-2))\/(d**(-2)\/((d*d**(6\/5)*d*d)\/d))) assuming d is positive.\nAnswer: d**(-2192\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**4 - 2*i**2*q**3 + 2*i*q**2 + 158*i*q - 2*q**3 wrt i?\nAnswer: 36*i**2 - 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 23*k = -35. Let r(c) = -c**2 + 6*c + 4. Determine r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 350 = s + 5*k, 0 = -k - 4. Let v(d) = d + 7. Let h be v(-6). What is the remainder when s is divided by h\/((-1 + 3)\/34)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -4*w + 766. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 569184.\nAnswer: 569184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -2, 0.061, 4.\nAnswer: -2, 0.061, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 216, 0, 1\/4, -1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188211071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**2. Let o(n) = 6592646*n. What is f(o(j))?\nAnswer: -173851925125264*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -117211.\nAnswer: -4\/117211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuppzpppuzpkpkp. Give prob of picking 1 u and 1 k.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 101878785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1062*b - 147. What is the hundreds digit of m(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (sqrt(168)\/((sqrt(288)\/sqrt(6))\/sqrt(8)))\/(sqrt(24)\/((1*sqrt(66))\/sqrt(11)))).\nAnswer: -2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 103057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*q - 254 = 0, -311 = -5*o - 295*q + 291*q. Solve o = -3*s + 54 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 752266 is divided by 188064.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 2*q + 54. Let r be 438\/q - 2\/9. Find the second derivative of -r*x - 20*x**5 - 141*x**2 + 141*x**2 wrt x.\nAnswer: -400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -103.62 - -0.05284\nAnswer: -103.56716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 336\/(-35) - 2\/5. Let u = -18 - d. Let b = u + 8. Sort 5, 4, b in increasing order.\nAnswer: b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-21)*-9 - 1\/7. Let q be 6\/n*(-20)\/15. Suppose 5*y - 14 - 4 = -4*v, y - v = 0. Solve 0*s + q = y*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 748 = 4*p. Suppose 4*c = 12*c + 992. Let w = c - p. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0141049556 to 5 decimal places.\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 88*p - 141*p + 3*p**2 + 86*p - 2*p**2 + 24. What is the hundreds digit of u(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**4\/3 - 5146610*x**3\/3 + 72051625*x**2\/3 - 66905020*x\/3 = 0.\nAnswer: 0, 1, 13, 1029308","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(30) + (sqrt(30)*2 - sqrt(30)) + sqrt(30)) + sqrt(30))\/sqrt(6) + -1*sqrt(245)*-2.\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u - 5. Let p = -192 - -205. Suppose -3*n - 4*k - 20 = 0, 0*n = -2*n - 3*k - p. Calculate l(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 9. Let o(w) = -9*w**3 + 1. Let f be o(-1). Let c be n(f). Let v be (-2)\/(-8) + (-3)\/12. Sort v, 5, c in descending order.\nAnswer: 5, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-96)\/(-60))\/(2\/1295).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*x - 10 + 2, -4*r + 5*x = 13. What is the least common multiple of r*(-1 + -1)\/(12\/48) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*p - p**3 + 74*p**3 + p**2 + 3*p**2 - 1 - 6*p**2.\nAnswer: 73*p**3 - 2*p**2 - 362*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12852, 25686, 38520, 51354, 64188, 77022?\nAnswer: 89856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 297*m + 18725. Calculate h(-63).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 85 - (-10)\/(-5) - -1. Suppose 3*y - 24 = -4*a + 292, -a - 2*y + j = 0. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.265524 rounded to 3 dps?\nAnswer: -0.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**4\/3 + 4*i + 1. Let f(s) be the first derivative of x(s). Let c(u) = u. What is f(c(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of -2 - 9\/2*n**2 + 0*n. Let y(v) = -102750*v + v**2 + 102750*v. Give y(z(t)).\nAnswer: 81*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-5*(sqrt(65) + (-1*sqrt(65)*2 - sqrt(65))))\/(-6*sqrt(60)\/(sqrt(12)*-3 - sqrt(12))))**2.\nAnswer: 83200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**6\/12 - 3*i**5\/10 - 3*i**4\/8 - i**3\/6 - 5. Determine q, given that m(q) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/36 and -85\/5328.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-185 + 180)\/(5\/16)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17190 by -382.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 + 3*b**2 - 3*b**2)*(1 + 2 + 3) + 0*b - 14*b**2 - b + 17*b**2 + 1 in the form t + m*b + n*b**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3727*a + 111819. Give c(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 263.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**2 - 94*m + 94*m - 1. Let b be z(-1). What is the least common multiple of 8 and (-2 - 8\/b)*15?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 84\/23 - 397\/115. What is the biggest value in -19, u, 1\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-13 - -6 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31214\/3021 - -1\/1007. Let t(w) be the first derivative of 0*w**2 + 22*w + 11 - o*w**3. Differentiate t(d) with respect to d.\nAnswer: -62*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*f**4 - 2 + 12*f - 98*f**4 + 2*f**2 + 209*f**4 as x + p*f**2 + v*f**3 + w*f + g*f**4 and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2197*x**4 - 2140385*x**3 - 154119342*x**2 - 3585816716*x - 27601526456.\nAnswer: (x - 1043)*(13*x + 298)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*n + 31. Let b = n + -28. Solve -5*s = -3*k, 0 = 2*k - 2*s + 1 + b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - (-1218)\/(-240))*-8.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0612 to 3 dps.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1474, 1464, 1440, 1396, 1326, 1224, 1084?\n\"Answer: -m**3 - m**2 + 1476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2. Let x(k) be the second derivative of -991*k**4\/6 + 311*k. Give o(x(n)).\nAnswer: 7856648*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 - 3\/3*(12 + -15). Let z(q) = -3*q - 3*q + 16 + 9*q. Determine z(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 4*n - 123, -8*n + 10*n = 2*z - 84. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 7 + (-9 - 21 - -14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-8))\/(-1*2). Suppose 0 = 3*m - z*m - 24. Let y be (0 + 4\/m)*40. Solve -7*g + y = -11*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**3*y + 8*t**2*y**3 + 4*t - 5*y**3 - 1 wrt t.\nAnswer: 24*t*y + 16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/9 + (-61600)\/(-10080)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/32)\/((235\/7)\/(1680\/(-2940))).\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 97627905005?\nAnswer: -97627905005.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 5:59 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*-3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72935220 a multiple of 2487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*k**5 - 2455747*k**4 - 36790733*k**2.\nAnswer: 180*k**2 - 58937928*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08 or 41.85?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4614 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1 = -k + 2, 0 = 3*a + 5*k + 7. Let d be (6 + -3 - 5)\/(a*-1). Solve p - 2*x + 5*x = d, 2*p - 9 = -x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 372141851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 32123 + 12401 - 28862. List the prime factors of a.\nAnswer: 2, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 504 and 2744?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 482790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.5 + -6.5. Which is the nearest to 1? (a) -1 (b) 1\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-152)\/(-36) + (-2)\/9. Suppose -3*z = v*i - 114, 5*i = 5*z + 14 - 169. Does 34 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**2\/4 - 403487*k - 162801759169 = 0. What is k?\nAnswer: -806974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - 44?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11217 and -971.\nAnswer: -10891707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/18*-3)\/((-2)\/(-144)). Let d = 4 - p. Let z be (-16)\/d - 199\/(-2). Round z to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3172577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/226475 (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 282055189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -3 - 6) + 12 + -11 + 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 52 = -4*u. Suppose 2*l - u*l = -i + 5, -i + l + 6 = 0. Differentiate -i*h**4 + 3*h**4 - 516 + 545 wrt h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d**2 - 1\/4*d**4 - 9\/8*d**5 + 0*d + 0*d**3 + 0 = 0.\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + 2*z**2 + z**2)*(0*z**2 + 15*z**2 - 3*z**2) - 4*z**4 - z**4 + 14*z**4.\nAnswer: 33*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -4, -2, 18, 28, -10 in decreasing order.\nAnswer: 28, 18, -2, -4, -10, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 57632428 by -2.\nAnswer: -28816214","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81178264?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**6\/8 - 11*j**5\/20 - 7*j**4\/8 - j**3\/2 - 6*j**2. Factor v(w).\nAnswer: -3*(w + 1)**2*(5*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000697 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + 0.21. Let i = -4 - -3. Which is the closest to q? (a) i (b) -4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373130009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 39 (b) -82 (c) -3\/362\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612*c**2 - 16*c + 610*c**2 - 1 + 1.\nAnswer: -2*c**2 - 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 9:05 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 6 = -11*l. Which is smaller: 1\/26 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gddmdgxdmmmmngm. Give prob of picking 1 n and 2 g.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/7 (b) -7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 2. Let i be (-3 + (-3)\/y)\/(-2). What is the first derivative of i + 4*b - 2*b + 0*b wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-75)*(-15)\/12. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 8) to base 16.\nAnswer: -1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -36?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-3 + 128)\/(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuuuuuuuuunuu. Give prob of sequence nuu.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r = -5*q - 27*r + 117316, -3*q + 3*r + 70389 = 0. What is the greatest common factor of q and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 440025*a - 220015*a - 220044*a to p*a + s and give p.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.01, -2, 7, 3\/7, -4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2 + 2*f + 2. Let r = -263 + 265. What is z(r)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84524403 to the nearest integer?\nAnswer: 9194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -9, 4, -2\/16359, -2\/19, -0.163?\nAnswer: -2\/16359","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -584.375155 rounded to 2 decimal places?\nAnswer: -584.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44839*h + 44839*h - 38751*h**2.\nAnswer: -38751*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37 + -42. Let a be 0 - -2 - ((-16)\/(-4) + m). Suppose -2*q + 30 = 4*u, 3*q + 0 = -2*u + 17. Solve -5*o - a = u for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8269 - 9364 - 10490 - 2722)*(-1 + t + 1).\nAnswer: -30845*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -31*o**8\/12 + 17*o**5\/12 + o**3\/2 - 367*o**2. Find the third derivative of m(j) wrt j.\nAnswer: -52080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 4*p**2 + 3*p + 2. Let y(n) = -n - 2. Let w be y(-1). Let m be 1 + w - (-3 + 0). Suppose b + m = -0*b. Calculate u(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 57 + 39. What is the remainder when 65 is divided by (-18)\/(-6) - d\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 8.65074 months?\nAnswer: 0.720895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 12.759.\nAnswer: -63.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i**2 + 20*i + 17. Calculate v(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 10:29 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 0, 5*j + 7*x - 3*x - 1705 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -1011000101111?\nAnswer: -1011000101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6219.0506 days?\nAnswer: 888.4358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 - j**2. Let s be l(-1). Which is bigger: s or -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((0 - 0) + 12\/(-18))\/((-27)\/162). Solve -48 + m = -44*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 980.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 483991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 3 + 10\/3*x**4 + x - 35\/2*x**3 - 1\/4*x**5 + 45*x**2. Determine r, given that m(r) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4974 times 1.01\nAnswer: -5023.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*j + 181*j = -232. Let l(o) = -6*o + 23. Let c(x) = -x - 1. Give j*c(z) + l(z).\nAnswer: -2*z + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w + 1. Let l(p) = -p**2 - 12*p. Let t(d) = l(d) - m(d). Let a be t(-11). Let k(n) = -6*n**2 + 1. Give k(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1425 + -493. List the prime factors of m.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*q**4 - 1629*q**3 + 1367*q**2 + 11758629*q + 4 wrt q?\nAnswer: 264*q**2 - 9774*q + 2734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 bigger than -521\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*d - 3*g, 3*d - 12 = -2*g - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 1\/27 (c) 4 (d) 3 (e) -2 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 2 + 11 + 3 + 26.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y = -594 + 635. Which is smaller: -2\/17751 or y?\nAnswer: -2\/17751","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 + 4*a + 7. Let c(z) = -z. Let b be c(6). Let q = 0 - b. Let f be w(q). Let g(j) = j - 1. Give g(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 8, 1, -2 in decreasing order.\nAnswer: 8, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 7*y**3 + 49*y. Let h(a) = -a. What is -245*h(g) - 5*v(g)?\nAnswer: -35*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256 + 265 + (-10 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -319*w**3\/2 - 32*w**2 - 13*w + 2. What is the units digit of q(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39836.884 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1482.787 - -1481. Let h = p - -1.784607. Round h to 4 dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ur when two letters picked without replacement from {z: 1, q: 3, f: 1, y: 1, r: 2, u: 4}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 580*a + 1667. Give j(-3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2264525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-1))\/(28\/4).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -67*f - 72*f + 168*f + (-2*f - 2*f + 2*f)*(-1 + 6 - 3).\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1) + 10\/(-2). Let p(k) be the third derivative of k**5\/15 + k**4\/6 - 13*k**3\/6 + 1502*k**2. What is the units digit of p(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1995*m**2 - m - m**4 + 2*m + 148*m**3 + 1997*m**2 to j*m**4 + g*m + x*m**2 + c + b*m**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.4 + -0.6. What is the closest to -1 in t, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r - 25 = -13*r. Suppose 0 = -b - z + r, -4*z + 11 - 3 = -2*b. Solve 5*c - 4*c - 1 = 0, -4*u - 2 = b*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -1 (c) 0.2 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 8. Let m = z + 23. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1437*v + 17514 - 46717 = 28277 for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.025 and 3.369.\nAnswer: -0.084225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -9279803 >= -9279800?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -5*y**5 - 50*y**4 + 3980*y**3 - 18850*y**2 - 180375*y - 157500 = 0.\nAnswer: -35, -4, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17912156*b**2 + 10283615*b?\nAnswer: -35824312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -155, -57?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 0)*(13 - 15). Suppose 0 = -3*p + 6*p + q*g - 56, -3*p + 59 = 5*g. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkpp when four letters picked without replacement from pkpkkkkkpppppk.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 47939660.75 rounded to the nearest 1000?\nAnswer: 47940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -h**4\/4 - 172*h**3\/3 - 497*h**2 + 493. What is the second derivative of b(g) wrt g?\nAnswer: -6*g - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34337733 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5374\/(-572) - (5 + -7). Let x = j + 79\/13. Calculate the common denominator of x and -67\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.7 (b) -2\/171 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + (105\/(-12))\/7. Let l be 76\/16 - 1\/(-4). Let x = l - 7. Put 0, x, q in ascending order.\nAnswer: x, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 35, -22, -77, -130, -181, -230?\n\"Answer: i**2 - 60*i + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, -0.3, -2\/3 in descending order.\nAnswer: 4\/9, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 8*o**2 + 15*o - 3. Let i be c(6). Let h = i - 13. Suppose 0 = -3*j + 2*j + 8. What is the least common multiple of h and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - (-5)\/2)*6. Let n(y) = 2*y - y - d*y. Let z(l) = 5*l. What is n(z(b))?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z. Let i(b) = -6*b. Let g(s) = -4*c(s) + 5*i(s). Let h(x) = 179*x - 56*x - 57*x - 2 + 124*x**2 - 66*x. Determine g(h(l)).\nAnswer: -248*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14*j - 44 - 19*j + 3*j + 3*j + j**2. What is the remainder when y(30) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*t + t. Suppose 8*o - 15 = -v + t*o, v = -o + 7. Let -2\/7*n**v - 1\/7*n**2 + 3\/7*n**4 + 0*n + 0*n**3 + 0 = 0. What is n?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3*z**3 - 3*z**2 + 10*z - 2. Let u(j) = -j**3 + 2*j**2 - j + 1. Let x(y) = a(y) + 4*u(y). Let l be (-1 + 4)*(1 - -1). Suppose 0*i - i = -l. Give x(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1645*(3 - (11 - 9)). Which is smaller: q or 1644?\nAnswer: 1644","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 6 = 0, -4*a + 32 = 4*x. Suppose -5*u = 5, u - 19 = 4*o + 4*u. Sort -2, o, a in increasing order.\nAnswer: o, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o + 36. What is d(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 - 17*j**3 - j**3.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Let a = -8 + 9. Let q be -66*l*a\/(-2). Calculate the greatest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-5))\/(v*v**(-3)))\/(v\/(v\/v**(1\/6))*v\/(v*v**(2\/3)*v)) assuming v is positive.\nAnswer: 1\/sqrt(v)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 + 0.5. Let q = -142767 - -142767.2. What is the fourth biggest value in l, q, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3507 + 3501. Let j(m) = m**3 + 6*m**2 + 4*m + 23. What is j(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 + -3 - 21 - 28.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -498 - 89*x**2 + 498 as n*x**2 + u*x + f and give n.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033021 to the power of 1\/2, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -10*d - 2. Let a be n(-2). What is the remainder when 70 is divided by a\/8*(-192)\/(-36)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-21)\/9*(-2)\/(-7). Let h = -23 + 25.6. Let d = h + -3. Which is the nearest to j? (a) d (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.2 - 28.1. Which is the closest to k? (a) -4 (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7138 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:59 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -30, -76, -154, -270, -430, -640?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -101110?\nAnswer: -101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*d + 95*d - 210 = 0. Calculate the smallest common multiple of d and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckidlkvdc. What is prob of sequence dl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7337 (base 10) to base 12\nAnswer: -42b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 4405119.\nAnswer: 39646071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -77, -83, -87, -89, -89?\n\"Answer: n**2 - 9*n - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 3\/4, -0.1, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 19\/4 of a millimeter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -285513?\nAnswer: 285517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*r + 3005 = -98, -4*i + r + 12356 = 0. Solve -n - i = -3093 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3328, 6676, 10010, 13300, 16516?\nAnswer: 19628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 136048 and -0.08.\nAnswer: -10883.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -127, -256, -617, -1330, -2515?\n\"Answer: -20*i**3 + 4*i**2 - i - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 604*l**2 - 602*l**2 - 12 + l**4 + 7*l + 15*l - 5*l to h*l**2 + u*l + n*l**3 + p*l**4 + q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 22*m = -336. Let g be 11 + -5 - (-120)\/m. Let f = -25\/66 - -1\/22. What is the smallest value in g, 1\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b**3 + 2*b**2 + 4. What is a(3)?\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, q: 1, d: 1, o: 5}. What is prob of sequence qo?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 697362 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p + 22. Determine l(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32)\/(-160) - 19080\/900?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 897 = 6*k - 489. Let n = k - 139. Let a = n - -321. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -476253 (base 8) to base 5.\nAnswer: -20203422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 140215 and 12093?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 PM and 5:58 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -225*k + 224. Determine v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*d = -4*d + 296872, -n = 5*d - 74214. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -13 - (8 - 17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*d - 192*d**2 + 3*d**4 + 1467 - 1545 + 27*d**3 + 51*d**2 = 0. Calculate d.\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.593525551 to 2 decimal places.\nAnswer: 1.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*p - 1832 = -36*p + 1664 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66877433 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 118 in -2\/13, -3, 1\/18, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2484108 and 60588.\nAnswer: 2484108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 16) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, 4, -2.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/1)\/((-18)\/4)*3. List the prime factors of i\/11 + (-4 - 4449\/(-33)).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -7. Let n = 11 - f. Solve n*q + 0*q = 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*m + 159*m - 675. Calculate the remainder when 132 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, 80.\nAnswer: -5, 0.1, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2261\/1924 + 57\/37. What is the common denominator of -75\/4 and q?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 30.7. Round a to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-234 - -6 - -58) + 103\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3329, 3328, 3327, 3326, 3325, 3324?\n\"Answer: -c + 3330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8062435 and 3190.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*3\/(-45) - 272\/5. What is the tens digit of 879\/15 + (4 - n\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r + 2 - 2 + 6*r + 7*r - 11*r + (1 + 0 - 2)*(r - 3*r + 4*r) - 17 - 16*r + 17.\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 4*o. Let y = 3 - o. Suppose -7 = -2*i + y, -5*s - 5 = 3*i. What is the smallest value in -0.2, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/7)\/y*y**(-2\/7))**(-2\/43) assuming y is positive.\nAnswer: y**(24\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0041433 rounded to 5 dps?\nAnswer: 0.00414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29 + -18 + 3\/(0 - -1). What is the lowest common multiple of 9 and ((-66)\/4)\/((-21)\/z)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10489 + -5568. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.05, 2, 0.4 in descending order.\nAnswer: 2, 0.4, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 296616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - b - 8, 5*p - 4473 + 4459 = 4*b for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 10*q**2 - 235*q - 656. Give t(26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((6\/15)\/(-2)). What is the second derivative of 4*v - 4*v**3 - c*v - 5*v**4 + 4*v**3 wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 12, -5, 3, 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -30, -1\/2, -2\/25.\nAnswer: -30, -1\/2, -2\/25, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 93 + 97 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42)\/18*(-78)\/182?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -13*g**2 - 138*g - 20. Let t be h(-9). Solve -t + 157 = -6*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -42 or -8101?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 460021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*s = -10, 0*s + s = -3*n + 36. Let i be (-5)\/(-27)*n\/(55\/(-150)). Which is smaller: i or -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6.2 - 6.1. Let z = -8 + 7.8. Let x = 4.59 - -0.41. Put x, j, z in decreasing order.\nAnswer: x, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 828370*p**2 + 1656725*p - 828360.\nAnswer: 5*(p - 165672)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 57.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**3 + q**3 + 0*q**3)*(-q**2 - 1 + 1).\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 96*d**2 - 726*d + 447. Calculate o(103).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1. Let h be 0\/(-6)*s*1. Suppose h*o = -4*d + 2*o + 214, 0 = 3*d + 2*o - 171. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1123 - 811?\nAnswer: -1934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 184461, 184484, 184555, 184698, 184937?\nAnswer: 185296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 99\/(-105) - (-99)\/693. Which is the third smallest value? (a) 9 (b) -2\/9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 68519 + 313205 = 3*q, -5*q + m + 407826 = 0. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.05719, 0, -83, 10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1\/89350, -1132 in decreasing order.\nAnswer: 4, 1\/89350, -1132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2910*p**2 + 3*p**4 + 2909*p**2 + 52*p + 2 to the form o*p + s*p**3 + i + y*p**2 + k*p**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*z + a + 45 = 1, 4*z + z - 11*a + 25 = -13*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5037 = 4*c, -4*w + 2578 = 4*c - 2462. Is (-3 + -2 - -1) + c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -243, -566, -1285, -2598, -4703?\n\"Answer: -33*m**3 - 92*m - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -154 (base 11) to base 3\nAnswer: -20200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201773?\nAnswer: 11, 13, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -7*o + 2*o + 21, -5*o = -2*j - 19. What is the second derivative of -2*l + 24*l**3 + 23*l**o - 45*l**3 wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*9484\/(-1480) - -1. Let g = -127\/74 + t. Find the common denominator of g and 29\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100146.\nAnswer: 2, 3, 16691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21083?\nAnswer: 29, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 6:11 AM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 136286 - -513?\nAnswer: 136810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-2) - (-199 - 1). Let t = k + 28. Suppose -3*n + 5*u = 2*n - t, -n + 26 = 4*u. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 4*l + 5. Let o be p(5). Suppose -2*v + 0*v = 2*n + 20, v + 2*n + 13 = o. Let i(t) = t**3 + 8*t**2 + 5*t - 2. What is the units digit of i(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11050778 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 8*n. Determine a(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o + 338. Does 12 divide u(-49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 43 + (54\/9 - 9). Suppose h = i + 15. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88960301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**6\/24 - w**5\/60 - w**4\/24 - 2*w**2. Let n be (9\/12)\/1 + (-14)\/8. Give y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*t**2 - 2*t + 12*t**2 - 5*t**2 - 10*t**2 - 7 as o + g*t**2 + p*t and give o.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-264*l**2 + 502*l**2 - 302*l**2)*(-6*l**2 + 6*l**2 - l**3).\nAnswer: 64*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -168410*o**2 - 10*o. Let p(m) = 2*m - 27. Give p(c(s)).\nAnswer: -336820*s**2 - 20*s - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31488 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6308 rounded to two dps?\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1058302933?\nAnswer: 23, 46013171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3372 divided by -3968.\nAnswer: -843\/992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-114)\/42)\/((-390)\/(-780))?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 - -148. Suppose 3*d - 2*d = a. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j = -877260 + 877875 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1008)*-2*-5)**2.\nAnswer: 100799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y. Let p be ((-6)\/9)\/(14\/21). Let v(x) = x + 1. Let g(s) = 4*s + 5. Let f be (-37)\/(-7) + 4\/(-14). Let l(w) = f*v(w) + p*g(w). Give l(h(r)).\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - 4*a**3 + a**3 + (-188 + 188 + 36*a)*(70*a - 70*a - 6*a**2).\nAnswer: -217*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632 is divided by 46.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(3\/((-18)\/4)). Let a be 0\/7 + (p - 0\/(-2)). Solve 2*x - x + 5*j = -8, -a*x - 4*j - 13 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*y**5 + 1 + 8*y**4 - 2*y**5 + 7*y**5 - 3*y**4 + 4*y**5 + 3*y**2 wrt y.\nAnswer: 240*y**2 + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 6 - 4 = 3*l, 5 = -5*i + 5*l. Calculate the common denominator of -137\/24 and (i\/12)\/((-4098)\/(-582) + -7).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 526*f - 529*f = 12*a + 3, 6*a - 4 = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) -3 (b) -0.36 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/8*4 + 3. Let a = d + -1. Let o = 14 - a. Calculate the remainder when 16 is divided by o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 140\/25 + (-6)\/10. Solve 0 = -3*j - 3 + 15, z*q - j + 19 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9e71 (base 16) to base 3.\nAnswer: -2001122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -60\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = -0*q. Let j be (-52)\/9 - 2\/9. Let i(x) = -5*x - 29. Let l be i(j). Solve 0*r - r = 3*n, -5*n - q*r + l = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 36, 27, 14, -3, -24, -49?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-363)\/2)\/(7\/14). Let f be q + (-4)\/((-8)\/(-6)). Let b = -1401\/4 - f. What is the common denominator of 73\/10 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 377423654 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 13*f**2*w**3 - 31603584*f**2 + 3*w**3 - 163292*w - 1 wrt w.\nAnswer: 39*f**2*w**2 + 9*w**2 - 163292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 0*o**2 - 2*o**2 + o**2 + 1 + 5*o**3. Let v be t(1). Find the second derivative of -2*u**v + 7*u**5 - 3*u**5 + 2*u wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5423 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 62 = 28 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 662096 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.02 + -0.38. Let j = -168 + 168.02. Let y = 41.5 + -42. What is the nearest to 1\/4 in y, k, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 46?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7*y - 3. Let u(t) = -t + 32. Let a(d) = d - 14. Let r(b) = -9*a(b) - 4*u(b). Give -5*p(i) + 8*r(i).\nAnswer: -5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a6 (base 11) to base 15.\nAnswer: -2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*u + 251 - 251)*(4 + 2 - 4)*(2*u**3 + u - u + (2*u**3 + 0*u**3 + 0*u**3)*(3 + 0 - 1)) to b*u**3 + m*u + i + a*u**4 + j*u**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212283 is divided by 15162.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000043498 to seven dps.\nAnswer: -0.0000435","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(-15)*(15\/3 + 4). Solve 7 = -2*l - 2*u + y, u - 3 = 4*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12320.8 litres?\nAnswer: 12320800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1067 and 107\/2134?\nAnswer: 2134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63569699175 + 0.0767.\nAnswer: 63569699175.0767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12687940 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13884, 13690, 13496, 13302?\n\"Answer: -194*l + 14078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -0.4, 6, 43\/64?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f + 10*f + 28404 = -263*f - 13*f for f.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(77)*-2 + sqrt(77) - (sqrt(77) + 3*1*sqrt(77)))\/((-2*sqrt(33))\/sqrt(3)*3).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -48*j**3 - 9*j**2 + 8*j - 5. Let f be o(3). Round f to the nearest 10.\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -25, -31, -37?\n\"Answer: -6*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*a - 2*u - 12, -5*a + 2*u = 19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42096397493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 172442*x**2 + 5. Let b(m) = m. Calculate c(b(q)).\nAnswer: 172442*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -709304138\/3 or -236434714?\nAnswer: -236434714","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((104\/(-156))\/((-16)\/3))\/((-14)\/8)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*s = 8, -3*b - 52*s = -24*s - 27*s + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 11:08 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**5 + 321 + 326 - 954 + 59*c**4 + 321 - c wrt c.\nAnswer: -20*c**3 + 708*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {e: 2, p: 4, a: 3, y: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/(-8))\/(3\/(-2))*316\/1185. Which is the biggest value? (a) 0.2 (b) -2\/291 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -73*u + 377. Let d(h) = 12*h - 61. Let t(o) = -39*d(o) - 6*w(o). Determine t(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**3 - 15*d**2 - d - 11. Let u(m) = -2*m**3 + 4*m**2 + 3. Determine -6*p(q) - 22*u(q).\nAnswer: 2*q**3 + 2*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.032? (a) -4 (b) -11\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/11*x**2 + 0*x + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1146 = -8*q + 922. Let o(s) = -6*s - 169. Let y be o(q). Let w(j) = -16*j**3 - 2*j - 1. Give w(y).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362*z = 370*z - 1568. What is the greatest common factor of z and 882?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39654208 is divided by 426.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/155)\/(3 - (-42)\/(-15)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, 82, 4, -4 in increasing order.\nAnswer: -4, 4, 59, 82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 1:46 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 319888594?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*a + 5 = -7, 15 = 5*b - 5*a. Suppose -b*n + 55 = -2*n. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -21\/4 (b) -53 (c) 108358\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18\/7 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103 and 3296?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 6*l**2 - 38*l + 44. Is m(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48210484 divided by -149722.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*s + 176*s + 50*s + 3509 for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 88\/(-110) - 22\/10. Suppose -4*w = 2*n - 38, 2*n + 9 = -3*w + 40. Sort 4, h, w in descending order.\nAnswer: w, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -602 + 844. Suppose 3*d + 59 = p + 5*d, -2*d + r = 4*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -0.5 (b) 6.16 (c) -0.391 (d) 0.3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 45*g - 52*g. Let p(s) = -21*s - 2. Give p(g).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -16, -46, -100, -184?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124 + 128. Solve -a + f = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 8*f + 7*f + 9 = 0, 5*f = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 110\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -5, -14, 1 in decreasing order.\nAnswer: 4, 3, 1, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x = -24*x + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p + 105. Determine y(-26).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.058 and 0.2541.\nAnswer: -0.0147378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*h + 1983348 = 27*h - 391050. What are the prime factors of h?\nAnswer: 2, 73, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qlqqdqnqddqxp. What is prob of picking 1 n and 3 d?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 810*u + 78 + 3047*u - 53. Let l be n(7). Let y be 4\/14 - l\/14. Round y to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18450756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 518308069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 3. Calculate o(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/4 - 917*r\/2 - 94393\/4 = 0.\nAnswer: -1781, -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-17.362.\nAnswer: 6.9448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2\/9 (b) -1\/51 (c) -64\/9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 18*r**2 + 17*r. Let b be l(-17). Solve 2 = -b*c - c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 - 0.6. Which is the nearest to -1\/2? (a) s (b) 0.04 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3898*s + 19941. What is z(-5)?\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27119 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1210474 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-4) - -2 - (-30)\/(-8). Sort 3, -0.4, 5, b.\nAnswer: b, -0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -669 + 653 + (1 - -1) + 7\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -10.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -10571\nAnswer: 5\/10571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26918*y**2 - 26918*y**2 - 224*y**5)*(3 - 2 - 5).\nAnswer: 896*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 857, 1741, 2625, 3509, 4393?\nAnswer: 5277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*c + 6*c**2 + 3 - 4 + 2*c**3 - 6*c**3 + 5*c + 10*c**2 to the form w*c**2 + j*c + u + z*c**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 957 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdw when three letters picked without replacement from {w: 2, t: 3, d: 3, i: 6, n: 6}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 14*y - 124. What is the remainder when 45 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 < -2135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 6 - 26 = 2*c, 2*s - 4*c - 10 = 0. Suppose -7*w - l + 53 = -2*w, -2*l + 56 = s*w. Suppose -4*b - b = -w. Solve 0 = 2*t + b*t - 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13464 - 13445. Solve 5 = 2*a + 5*b, 0 = -16*a + w*a - 3*b + 24 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1119*q**3 + 550*q**3 + 558*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-1))\/((-180)\/(-225))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 7)*(2 - 2 - 2*g) + 0*g - g - 9 + 16 + 159*g + 65*g - 34*g.\nAnswer: 191*g + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 25*j**2 + 65*j - 1. Determine c(-22).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m. Let c = 24 - 16. Suppose -2*d = 2*g + 6, c = -5*d - 12. Let b(t) = t. Let q(x) = g*o(x) - 3*b(x). Let v(h) = 5*h. Determine v(q(s)).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2092 - 2098 + 37*m**2 + 4183. Let l(d) = -d. Give l(z(b)).\nAnswer: -37*b**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 12 + 2 = 0. Let t be (m - -4) + 0\/1. Does 6 divide 2 - t\/(1\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -0.078, -31, 0.7, 0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 1.861?\nAnswer: 2.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let w(t) = -102923*t**2. Give w(q(y)).\nAnswer: -102923*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 221 - 111. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - h + 45 = 0. Let i = h + -5. Suppose -x + i*x = 15. Solve 3*v = -d - 12, -v + 4*v = x*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -267035.\nAnswer: 26703.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 14*y + 102. Give l(-11).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z + 26. Let q(x) = 4*x + 25. Let m be (-24)\/42 - 76\/14. Let c(d) = m*f(d) + 5*q(d). Let r be c(14). Let v(o) = 4*o - 1. Give v(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 - -0.7. Let i = 0.186 - 3.186. Let k = -48 - -434\/9. Put k, m, i in decreasing order.\nAnswer: k, m, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 - -17?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**(-2)*o)\/o)**(-8))**(-7) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732497 is divided by 1428.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9793, 19460, 29127, 38794, 48461?\nAnswer: 58128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of -5 + (-8)\/(-2) + 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 greater than or equal to -35.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*g = -2, -3*b + 2*g + 10 = b. Suppose 4*y - 7 = 1. Suppose y = 6*r - 28. Sort r, b, 0 in descending order.\nAnswer: r, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/8 and 51\/1717390?\nAnswer: 6869560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3300.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 204119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, u: 8}. What is prob of picking 2 u?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -8*l + 5*l. Let g be -1 + 17 - (-24)\/l. Suppose g*y = 20*y - 1110. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -192\/125 - -126247\/83250. Let x = a + -156670\/333. Let d = 519 + x. What is the common denominator of d and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 4*d - 2*d + (0 + 0 + d)*(-4 + 17 + 0) + d - 2*d + 2*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2 + 9*h - 10 = 0. Calculate h.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or -66022?\nAnswer: -66022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*p = 147*i - 142*i + 271, -6*p + 93 = 5*i for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*r + 5*r. Let c = r + 5. Find h such that -3*h + 3*h + 2*h**2 + h**c = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153382642 is divided by 824.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-2*sqrt(153) + -3 - -2*(sqrt(153)*-2 - sqrt(153))) + 0)*-2)**2.\nAnswer: 480*sqrt(17) + 39193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285, 340, 429, 552, 709, 900, 1125?\nAnswer: 1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*f**3 - 2*f**4 - 4*f - 21*f**3 - 4*f**2 + 2 in the form u*f**4 + c*f**2 + y*f + b + m*f**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {f: 1, r: 10, k: 9}?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**3 - 6*q**2 + 3*q - 6. Suppose 4*z = 92*k - 93*k - 8, 2*k - z - 11 = 0. Calculate v(k).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.628*-0.073\nAnswer: 1.286844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 + 5*s + 17. Let w be o(7). Let v = 1 + w. Solve 2*q - v = -0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*v**4 - 26*v**4 - 44*v**4 + (-v**3 + 3*v**3 - v**3)*(2*v - 1 + 1) - 3*v**2 + 3*v**2 - 2*v**4.\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 divided by -95055?\nAnswer: -7\/31685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 609 divided by 8822\nAnswer: 609\/8822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -16, 2\/3, 0.2, 1066 in descending order.\nAnswer: 1066, 2\/3, 0.2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*u)*((-3*u**2 + 5*u**2 + 0*u**2)*(-4*u + u + 2*u) + 18*u**3 - 2*u**3 + 8*u**3 - 3*u**3 - 3*u**3 + 4*u**3).\nAnswer: 60*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*m = 82*m + 715. What are the prime factors of m?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 6*g**4\/7 + 60*g**3\/7 + 96*g**2\/7 - 540*g\/7 - 1350\/7 = 0.\nAnswer: -5, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g - 6 = -9*g. Let t = g - -7. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87567*i**2 - 845*i + 24.\nAnswer: -175134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*t + 1)*(-1 + 0 + 3)*(6 - 1 - 2) - 11*t - 2*t + 4*t.\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004623692313 rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.57 - 6.47. What is the second smallest value in 3\/5, p, 4, -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -570.88\nAnswer: 566.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 236753\/14 - 16918. Calculate the common denominator of 132*(45\/75)\/(8\/5) and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 + 16*v**3 - 128*v + 128*v.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 1. Let c be h(1). What is the second derivative of -2*z**c - 232*z**3 - 33*z + 229*z**3 - 20*z + 10*z wrt z?\nAnswer: -18*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -441 - -450. Suppose -k + 2*k - 2 = 0. Suppose 0*b + b = u + k, 2 = b - 4*u. Solve -b*f - h = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64 and -0.526605.\nAnswer: 33.70272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.1 - 0.1. What is the nearest to -1 in 4, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 8.3. Let a = 135.8 - 136. What is the nearest to a in 1\/3, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 11111111010111000000?\nAnswer: 11111111010110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*s**2 + 4*s**2 - s**2 - s**2 + 6*s to the form j + o*s**2 + i*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4) + 0 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, 40, 202, 502, 982?\nAnswer: 1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16634\/15147 or -1?\nAnswer: -16634\/15147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.0098866\nAnswer: -0.0395464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674 is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/((-2088)\/27))\/6?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/7))**(-27\/4)\/(l**(-2\/5))**(1\/69))**(7\/5) assuming l is positive.\nAnswer: l**(-9287\/3450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 338 = -474. Suppose k + 129 = -2*d. Let n = 441 + d. What is the greatest common divisor of 25 and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7)*(3 - 0). Let u be -4 - (-2)\/(-1)*(-8)\/16. Are u and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -385332 by -2364.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -53511 (base 6) to base 16\nAnswer: -1c93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1))**(-40\/9)\/(z\/(((z\/z**(-1))\/z)\/z))**(1\/12)*((z*z**(-6)\/z*z)\/z**(-6))**(1\/16) assuming z is positive.\nAnswer: z**(637\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 51127 (base 9) to base 3\nAnswer: 1201010221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6761 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 5*v + 0*v)*(2*v**2 + v - v)*(-10 + 8*v + 6*v - 12*v).\nAnswer: 8*v**4 - 40*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - a + 1. Let o(v) = v**3 + 7*v**2 - 6*v - 11. Let h(k) = -2*c(k) - o(k). Let m be h(7). What is the highest common divisor of 5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 1\/20*l**5 + 5\/2*l**2 + 2\/3*l**3 + 0*l**4 + 4*l + 0. Let m(p) be the first derivative of d(p). Differentiate m(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 500 and 8545125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 1)*(1 - 2 + 3)*(3*v**2 - 10*v + 4*v - 2*v**2).\nAnswer: 4*v**2 - 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 791074 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 25 + 2*g + 52.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196169?\nAnswer: 196169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4187, 3, 0, -94 in increasing order.\nAnswer: -94, 0, 3, 4187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*(s\/(s*(s**(-2\/3)*s*s)\/s*s))\/s)\/s)\/s)**27*(s\/s**(-4\/17))\/s**(2\/9) assuming s is positive.\nAnswer: s**(-9484\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12024 divided by -72\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 12*b**2 - b - 4. Determine u(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 4*c + 4. Let o = -11 + 12. Suppose u - o = -3*j + 3, 3*j - 12 = 3*u. Let r be v(j). Solve 5*p = -r*p - 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390465348 to the power of 1\/3, to the nearest integer?\nAnswer: 731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 343 + -329. Solve 2 = -15*c + i*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 501584961?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zo when two letters picked without replacement from zswzzzoszozsoooso.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -35*t - 196. Let a(o) = o + 3. Let h(y) = -42*a(y) - z(y). Calculate the remainder when h(7) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*r - 29 = 0, -3*d = -0*r + r - 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 6*p - 1. Let u(j) = -j**2 - 19*j + 2. Give 3*u(t) + 8*v(t).\nAnswer: 5*t**2 - 9*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -422 - -241. Let h = 276 + x. Calculate the remainder when h is divided by 1\/(2 - 63\/32).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10010 and 9191270?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**3 + 4*p**2 + 4*p. Let n(w) = -11*w**3 + 9*w**2 + 7*w. What is 4*n(m) - 9*y(m)?\nAnswer: m**3 - 8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10.1 or 4291977?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -901.01 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 2:04 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/5 + 249*c**4\/5 - 6598*c**3\/5 - 3033052*c**2\/5 + 70082376*c\/5 - 67042976\/5 = 0.\nAnswer: -182, 1, 22, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26368609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**10*u*(u**(1\/4)\/u)\/u assuming u is positive.\nAnswer: u**(37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4944 or -19\/4?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 15 = -5*t + 4, -5*u + 331 = 21*t. What is the remainder when 314 is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by -11\nAnswer: -67\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11*z**2 - 2 + 23*z**2 + 1 - 2*z. Let q(i) = i**2 - 10*i + 8. Let d be q(9). Determine k(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p**2 - 281*p + 111. Determine r(-32).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-74958)\/(-30) - -9 - 4\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 6*h**2 - h + 3. Suppose -5*g + 72 = -t, -t = -4 + 6. Suppose -104 = -12*x - g*x. What is n(x)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 2. Let r(g) = 3*g**2 - 1. Let x be r(1). Suppose 0 = n - 2*n + 1. Let d(t) = t**2. Give n*a(z) + x*d(z).\nAnswer: 2*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17551610.\nAnswer: 2, 5, 1755161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3204100 + 3105*x + 2782*x**2 + 2768*x**2 - 5546*x**2 - 10265*x.\nAnswer: 4*(x - 895)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x + 65. Let q(f) = -f + 1. Give -2*q(s) - u(s).\nAnswer: -s - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 22 + -1 + 3 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230312148 divided by -46266.\nAnswer: 4978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89*u + 5321*u - 825*u.\nAnswer: 4407*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(26\/((-12272)\/(-120))*7\/(-21)).\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*a + 29*a + 2*a - 1 - 78*a - 90*a to w*a + r and give w.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o - 35 = w, -4*o + 5*w + 15 = 0. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*q = -119*q - 16. Suppose i = q*c - 69, 2*i + 10 + 74 = 5*c. What is the lowest common multiple of 54 and c?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90046775 divided by -35?\nAnswer: -2572765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 75*h - 231. Let j(f) = 3*f - 9. Let k(q) = 2*c(q) - 51*j(q). Suppose 3*b + 2*a = -1, 0 = -5*b + 4*a - 12 - 19. Calculate k(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**4 + n**4 + 2*n**4 + (0 + 2*n + 0)*(176*n**3 - 1586 + 1586) to u + c*n + a*n**3 + f*n**2 + d*n**4 and give d.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 5*d - d)*(-3*d + 4*d - 2*d) + 2 + d**2 - 2 - d**2 + 0*d**2 + 9*d**2 as i*d + l + h*d**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 2, -4\/9, -26, -2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 6. Let j be 4*2 - (-2 - -5). Suppose -2*n + j*x = -63, 0 = 2*x - d + 4. Is n a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 98. Let v = a - -79. What is the units digit of (8*v - -2)\/(1 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**2*s*u*z - 18*o**2*z + 7*o*s - 11*o*u*z + 336*s*u*z + 2*u wrt s.\nAnswer: 3*o**2*u*z + 7*o + 336*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -13, 2, -0.3, -1\/7, 34.8, -32.7?\nAnswer: 34.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34\/3 + 164\/15. Let h be 2\/(-3) - (-92)\/24. Let p = 17\/6 - h. Which is the nearest to p? (a) 3 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)*z)**(-8)\/(z**2)**5 assuming z is positive.\nAnswer: z**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19782 + 19782 + 28*o**3 - 2*o**3.\nAnswer: 26*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 1033922*y**2 + 436*y - 437. Is b(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pffveelzfzz. What is prob of picking 1 l and 1 v?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmmm when four letters picked without replacement from mgmmgmm?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 43 - 2)*(0 - 3 + 5)*(4 - 4 - 9*z) to k*z + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 4*m - 5. Let q be t(-4). Let k = 7 + -9. Let z = k - q. Solve -4*d - z*n = -8, -2*d + 3*n + 26 = -n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3610\nAnswer: 1\/722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*r + 5*c - 144 = 0, -11686*c = 5*r - 11682*c - 121 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 8:36 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 3:07 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544 = -2*a - 2*w, -w + 154 = 2*a - 386. What is the remainder when a is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.388 + 0.348. Let k = 52\/3 - 18. What is the biggest value in m, k, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3 = 5*f - 6, 4*f - 2*y = 28. Suppose f*i - 61 = 34. Suppose -2*l + i + 5 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 8.93 (b) -12 (c) -1\/2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/35 + (-800)\/56. Let m(w) = w**2 + 19*w + 70. Let j be m(f). Solve j = 3*z - l - 5, -2*z + 4*l - 10 = -0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -80*x - 6. Is z(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006180549619 to four decimal places.\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*r**4 + 8*f**2*r - f*r**5 - 39*f*r**3 + 2*f*r**2 - r**2 wrt r.\nAnswer: 24*f**2*r - 60*f*r**2 - 234*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b - 3325?\nAnswer: -32b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**2 + 18675156*p - 43595181453042 = 0.\nAnswer: 4668789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1818 - -4?\nAnswer: -1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -39 and 0.01.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 423 (b) 4 (c) -114\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 78.203 - 78. Let o = 0.193 - c. Let a = -0.01 - 0.39. Sort -1, o, a in ascending order.\nAnswer: -1, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((15701\/(-42))\/(1\/4))\/((-48)\/3384) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83.5 - 0.1.\nAnswer: -83.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 599784.1 millilitres?\nAnswer: 599.7841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33140797?\nAnswer: 139, 238423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(125) + 1)*-6)**2.\nAnswer: 5760*sqrt(5) + 72576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 7*u + 20. Let d = -20996 - -21003. Determine p(d).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z. Let v(n) be the second derivative of 0*n**2 + 0*n**3 + 0 + 1\/4*n**4 - n. Calculate v(s(j)).\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*n - 40320 = -323*n. What is the highest common divisor of n and 6192?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2\/9*u**2 - 410\/9*u - 404\/3 = 0.\nAnswer: -202, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 46\/4 + 34\/68. What is the highest common divisor of 104 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 + 9*a - 15. Let k be s(-11). Let q = 1 + k. Let f be 3 + (-2)\/q*17. Which is smaller: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.01461 kilograms to milligrams.\nAnswer: 11014610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2464 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y + 36*y + 18 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -218 + 226 - (-1 - 1) - -15\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 2*a + a)*(5 - 5 + 2*a**2)*(4*a + 2*a - 2*a)*(0*a + a - 3*a).\nAnswer: 32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/81 - 5\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 50*p + 0 + 21\/5*p**2 - 1\/2*p**3 - 1\/20*p**4. Factor j(a).\nAnswer: -3*(a - 2)*(a + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -11*w**3\/9 - 311*w**2\/12 - 7*w + 2610. What is l in p(l) = 0?\nAnswer: -14, -3\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-10\/9)*r**(-15)\/r)**48 assuming r is positive.\nAnswer: r**(-2464\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/10)\/((-7)\/5). Let c = -0.03 + 0.53. Let p = 0 + c. What is the biggest value in r, 5, p?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.1, -0.2, -1 in descending order.\nAnswer: 2, -0.1, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109681?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11316192 divided by -353631?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 1) + -1 + 2. Suppose -2 = 3*x + 4. Let m be (0\/(-2))\/(x - -4). Solve c - n = -h*n - 9, -5*c + 4*n - 40 = m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -0.02167277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 120\/376*(-12)\/(-10). Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/45 (b) -1 (c) 5\/6 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1623, -9200, -26797, -58482, -108323?\nAnswer: -180388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*i**3 + 3 + (2*i**2 - 4 + 4)*(-2 + 2 - i) + (389 + 9*i - 389)*(0 + 0 - 3*i**2).\nAnswer: -31*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152464008.\nAnswer: 2, 3, 127, 50021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 845.619 years in months?\nAnswer: 10147.428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 9*p**2 + 2*p + 7. Let m be u(9). Let q be (-4 - (-30)\/4) + (-6)\/4. Solve -5*t - 8 = -2*o - m, -6 = -q*t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4801, -9835, -14869, -19903?\n\"Answer: -5034*u + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 1.57, -0.01, -2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q - 6. Suppose -4*k + 163 = -2*s + 3, q*k + 4*s - 120 = 0. What is the highest common divisor of 40 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/10)\/(5*2\/200). Let m(q) = q**3 - 10*q**2 + 16*q + 23. Let s be m(k). Solve -10*j = s + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -154193\nAnswer: 462579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -206) + 4821 + -4938\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18992631?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/31? (a) 8 (b) -0.15 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 8:56 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -511422*z**2 + 124*z + 398 wrt z?\nAnswer: -1022844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*n - 28783 = -777. What is the smallest common multiple of 603 and n?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16230 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -393 - -398. Suppose -8 + 33 = -q*y, 0 = -4*z - 4*y + 132. Calculate the remainder when z is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 3)\/((-16)\/(-6290704)*-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(0*x - 2*x + x + (4*x + x - 6*x)*(2 + 1 - 1)) + 0*x + 1 + 0*x + 2*x.\nAnswer: 11*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1785 and 1275?\nAnswer: 8925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 576684.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 352\/(3 - -1) + -4. Suppose -8*s = -4*s - r. What is the remainder when 59 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 - ((31 - 61) + 45)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -110, 3, -3, 6949 in descending order.\nAnswer: 6949, 3, -3, -5, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 1, 5*t + 32 = 2*v + t. Let r = -13 + v. Let h = r + 27. Solve h = -5*u + 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 14) + (-328)\/(-17 + 9).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rms when three letters picked without replacement from rhrrhhmsivm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*k - 137 + 137 + 2*k to n + t*k and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 4, s: 3}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0, -0.13, -4, 0.9, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8)\/f**4 assuming f is positive.\nAnswer: f**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z - 360 = 0. Let s be ((-12)\/(-9))\/(1\/z). Calculate the greatest common divisor of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 162 = 3*v. Find the common denominator of (204\/(-108))\/(2\/12) and (-64)\/v*(6 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -35. Calculate the remainder when k is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 - 3*d - 2. Suppose -173 - 77 = -5*y. Let t = -51 + y. Let v be x(t). Solve 5*b + v = -8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**(-33\/2)\/(h\/h**(-2)*h**3*h))\/((h**3\/((h*h*h\/h**5)\/h*h))\/(h**1)**3) assuming h is positive.\nAnswer: h**(-69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s + 924 = -8*s. Which is greater: s or -29?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2191?\nAnswer: 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5547 = -157*d + 7794 + 8639. Calculate the remainder when 219 is divided by d.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 14\/55 (b) -3 (c) 33 (d) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.67215 to 3 decimal places.\nAnswer: -0.672","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1079 is divided by 320.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -31. Let p = b + 4. Let z = -8 - p. What is the closest to -1\/2 in 0.5, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 - 2*o**2 + 6*o - 1. Let d(p) be the second derivative of p**4\/12 - p**3\/6 + 4*p + 200. Give -2*d(m) - y(m).\nAnswer: 4*m**3 - 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4961.232927 rounded to the nearest 100?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1) - -1) + (-12)\/14.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28202821 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 - 3832*n + 11532.\nAnswer: -4*(n - 3)*(n + 961)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -337, -328, -305, -262, -193, -92, 47?\n\"Answer: i**3 + i**2 - i - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 - -139. Suppose o = -5*f + 44, -2*o + 73 = t*f - 10*f. Let q = 17 + -6. What is the remainder when o is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = i - 43 - 67, 2*z - 12 = 0. Solve 0 = i*p + 16*p - 324 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14 - n + n + 7*n**2 - 50*n**2 with respect to n.\nAnswer: -86*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.99255 meters to kilometers.\nAnswer: 0.00399255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/5)\/((-10)\/200). Let a be (k - 13)\/(2\/(-52)). Solve 4*y - 4 + a = 2*n, y + n = 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -1\/3, 20, 36\/11, -0.5, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02032309 rounded to four dps?\nAnswer: 0.0203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 469?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1\/4 (c) -5\/3 (d) 2\/7 (e) 0.179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*b + q + 14 = 0, -2*b + 2 = -3*q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/6 + 5509*b**2\/6 + 2093713*b\/2 - 1247104275\/2 = 0.\nAnswer: -2967, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**5\/60 + j**4\/24 - j**3\/3 + 3*j**2. Solve h(q) = 0 for q.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 1:06 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 908306188 to the nearest integer?\nAnswer: 30138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -209*v - 416. Is l(-23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 2 = t. Let q(v) = v**t + 14*v - 14*v. Let z(k) = -k - 4 - 3*k**2 + 0*k - 2*k**3 + 6. Give -3*q(r) - z(r).\nAnswer: 2*r**3 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315\/1225*30\/9*910\/39.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248 = 4*u - 2*o - 256, 3*u - 16*o - 64 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-4)*4*3 - -3983?\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vqqyqkqk. What is prob of picking 2 k?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -200012 + 25003?\nAnswer: -131005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -226, -4, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 + 2)*(-1 - 2 + 4) + 4 - 3 - 5)*(8*f + 7*f - 5*f)*(-4 + 3 + 3).\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 8, 1, 3, 10, -16 in decreasing order.\nAnswer: 10, 8, 3, 1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 141853467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 52*r + 8. Give d(-23).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*a)**(2\/3)*((a\/(a**(1\/4)\/a))\/a)**(2\/21)*(((a*a\/(a*((a**(-2\/11)*a*a)\/a)\/a*a))\/a)\/(a\/(a*a*a**(-2\/5)*a*a)*a))**(16\/5) assuming a is positive.\nAnswer: a**(37421\/11550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5685659 and 2996?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -246272.\nAnswer: -43\/246272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Let m(h) = 2*h**3 - 29*h**2 + 17*h - 37. Let v be m(14). Let 2\/17*q**v + 0*q**3 - 4\/17*q**2 + p - 2\/17*q + 4\/17*q**4 = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28355 + 28359. Solve -2965 + 2957 = n*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64046031 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, l: 6, b: 4, w: 4, a: 5}. What is prob of picking 1 b and 1 a?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162*h - 396*h + 164*h + 155*h - 72*h.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 7) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*0.06.\nAnswer: 3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i. Suppose 6 + 4 = 5*y. Let b(h) = 11*h - 4*h**y - 11*h. Calculate b(v(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.3 minus -21.93?\nAnswer: -93.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*c + 3 + 28, -2*x - 5 = -5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 511 + 4044?\nAnswer: 4555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 18 = 9*h + 11*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 2:44 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1272)\/63)\/4 - (-9)\/27 and 52\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y\/(y**(-1)*y)*y))*y)**(-3)\/(y\/(y**(2\/7)*y))**(-11)*(y*(y\/y**2)\/y*y\/y**(-5\/3))**13 assuming y is positive.\nAnswer: y**(137\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = -5*d + 24 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtqtqtqqqqqqtb. What is prob of picking 1 t and 1 q?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(12\/5))\/(y\/(y*y**11)*y)*y\/(y*y*y\/(y\/(y*y**(-4)))*y)*y**(2\/3) assuming y is positive.\nAnswer: y**(226\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-115)\/4)\/((-6)\/(-798)). Let r = a - -3803. Calculate the common denominator of r and -17\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 = -4*j - 495. Let c = 209 + j. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 15\/4 of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -46, -21063 in ascending order.\nAnswer: -21063, -46, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13364 + 12977 = -43*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 6, 3, -3.\nAnswer: -3, 3, 6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 3*u - 12. Let d(g) = -g**2 - 3. Determine d(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205.42 + -206.42. What is the closest to j in 2170, 0.4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2366 + 308. Suppose 0 = 4*g + 2*m - 4*m + d, -3*g - m = 2013. Round g to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 28, 115, 280, 541, 916, 1423?\n\"Answer: 3*s**3 + 21*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, d: 2, t: 8, f: 1, y: 4, o: 4}. What is prob of sequence dooo?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/2 - 270281*r\/2 - 405417 = 0.\nAnswer: -270278, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 20*q**3\/3 + 2*q**2 - 2583*q - 3. What is v(-2)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 12:03 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 610641901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilogram in grams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 52 = -4*n - 12*q, -4*q = 2*n - 44 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 19302\nAnswer: 9651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*f - 2*f - 4 = 0, 3 = -4*g - 3*f. Suppose 0 = -5*d - 4*a - 21, -5*d = 3*a + 2*a + 25. Let z = d + 2. Put g, -1, z in ascending order.\nAnswer: -1, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.57819 + -271.\nAnswer: -270.42181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 98765013\/9659960 - 19981\/2257. Let g = k - -2\/535. What is the common denominator of g and (-16)\/(-3) - (-2)\/(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1346*h**3 + 169*h**2 + 9872806?\nAnswer: 4038*h**2 + 338*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**5 + 120*m**4 + 1948*m**3 - 3128*m**2 - 193614*m + 194672.\nAnswer: 2*(m - 8)*(m - 1)*(m + 23)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1661322*a**3*z**3 - 12*a**3 + 5319624*a*z**3 - a*z + a - 2*z**3 wrt a?\nAnswer: -9967932*a*z**3 - 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-1\/9)\/h))\/h**(-2))\/(h**(-2\/7)*h**1\/h) assuming h is positive.\nAnswer: h**(277\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -484*h**4 + 30*h**2 + h - 316683 wrt h.\nAnswer: -1936*h**3 + 60*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40239, 80942, 122109, 163740, 205835, 248394?\nAnswer: 291417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 3, -72, -2 in increasing order.\nAnswer: -72, -8, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -3, 0.03?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14709*a + 7361*a + 7347*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 783325903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-55 - (-6 - 28))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:06 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = -2*j + 7*j. Suppose 0 = y + 6 - j. Suppose -3*c - 12 = -2*z - 42, -2*c + 5*z + y = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 52089232*r. Let s(k) = 2*k**2. What is v(s(l))?\nAnswer: 104178464*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -66 + 67. Let p = 8 + -3. Which is the second biggest value? (a) -1\/2 (b) q (c) 0.4 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/((-6)\/88). Suppose 1213 = -15*j + 1437 + 6376. Calculate the highest common factor of a and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1024 by 2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34887, 70341, 105799, 141261, 176727, 212197?\n\"Answer: 2*u**2 + 35448*u - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -99 + 6?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g**2 - 10*g - 10. Let k(i) be the third derivative of 1\/60*i**5 + 10 + i**2 + 1\/24*i**4 + 1\/6*i**3 + 0*i. Give 10*k(u) + z(u).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -221340*u**2 + 2976*u + 2976. Let t(j) = 372*j**2 - 5*j - 5. Let g(o) = 5*q(o) + 2976*t(o). Let m(a) = a**2. Calculate g(m(k)).\nAnswer: 372*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 1898?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 18769*d**6\/480 + 4658*d**5\/15 - 547*d**4\/24 + 2*d**3\/3 + 24*d**2 - d + 10. Find t, given that p(t) = 0.\nAnswer: -4, 2\/137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 3*s - 4*s. Let d(a) be the second derivative of -1 + a + 0*a**2 + 1\/3*a**3. Determine g(d(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 160 - 1117\/7. Which is greater: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 2 - (-3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Solve z = 2*f - z + 18, x*f - 2*z = -28 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 764 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35414 is divided by 233?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/18 - 37\/90. Let z = -85.31 - -84. Let n = z + 1.2. What is the third biggest value in n, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1218?\nAnswer: 2, 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7905, 6256, 3507, -342, -5291?\nAnswer: -11340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1865000 rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 316 and 26684.\nAnswer: 2108036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssossssoossoo. What is prob of picking 1 o and 2 s?\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1002, 1769, 2540, 3315, 4094, 4877, 5664?\nAnswer: 6455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1124 = -4*z - h + 1125, 0 = -13*z + h - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express d + d + 2*d + 2 - d - 2 + (0 + 4 - 5)*(3*d - d - d) + 16*d + 11*d - 30*d in the form f*d + q and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 12 + 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*u + 8*u**2 - 6*u**2 - 2 - 11*u - 2*u**3 - 62*u**4 - 6*u in the form o*u**4 + r*u**3 + p*u**2 + c + v*u and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 11 + 1 - 1 + k + 3*k. Is g(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(((-111)\/(-444))\/(2 - (-5)\/(-2)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 3:47 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of w**6\/180 + w**5\/40 - w**4\/12 + w**3\/6 + 2*w. Let l(k) be the second derivative of i(k). Give l(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 33.\nAnswer: -6, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t**4 + 0*t**2 + 8\/3*t**3 + 2 + 0*t - 4\/5*t**5. Find the third derivative of k(d) wrt d.\nAnswer: -96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 + d**4 - 7*d**3 - 19*d**3 + 28*d**3.\nAnswer: d**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -5*k**8\/336 - 5*k**4\/24 + 4*k**2. Find the second derivative of m(w) wrt w.\nAnswer: -100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -395 + 383. Let n be -1 + (-1 - (-5 + (-30)\/q)). Let v = 0.2 + -0.3. Sort n, v, -1\/3.\nAnswer: -1\/3, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/60 - i**2. Suppose -8 + 56 = 4*g. Let k(v) = g*v - 18*v + 9*v. What is k(l(j))?\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 17 (b) 3 (c) -101 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 295973\/1551 - 514\/141. Do u and 187 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27147305 or 27147306?\nAnswer: 27147305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-13358)\/(-18) - ((-220)\/45 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -822, -2721, -6424, -12537, -21666, -34417?\nAnswer: -51396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -13*j**4\/12 + j**3\/3 - j**2\/2 - 8*j. Let n = -8 - -9. Calculate y(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -69*z. Let u(b) = -8*b + 3. Let y(x) = -3*x + 1. Let l(q) = u(q) - 3*y(q). Give t(l(g)).\nAnswer: -69*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 + -83367?\nAnswer: -83475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 11 - 11. Let t = 23 - 20. Let a(w) = 3 - t + 7*w + 0*w. Determine s(a(f)).\nAnswer: -49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 1 y when three letters picked without replacement from {y: 1, w: 4, z: 6}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*g + 13*g + 5*g.\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34093, 136041, 305955, 543835, 849681?\nAnswer: 1223493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 + -66 + 34\/10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-8 - -12 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 7*j. Let l be i(-3). What is the greatest common divisor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syjcotyocccyyycc. What is prob of picking 1 c, 1 o, and 1 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*z - 1915 + 1117 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2185529.\nAnswer: 23, 167, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.051070328 to 4 dps.\nAnswer: 0.0511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 2:22 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, t: 4, b: 2}. Give prob of sequence bbtt.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9651 + 9651.5739. Round m to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26592871?\nAnswer: 331, 80341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 238, 534, 948, 1480, 2130, 2898?\nAnswer: 3784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -122?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194167423 to the nearest integer?\nAnswer: 13934","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 0. Suppose 6 + f = 2*m. Let j = 6 + -6.3. Which is the third smallest value? (a) m (b) -5\/2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -1\/60*z**5 + 0*z - 3\/8*z**4 + 43*z**2 + 0 + 4\/3*z**3. What is b(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -160*l**3 - 14*l**2 + 6*l - 14. Let d(f) = 53*f**3 + 5*f**2 - 2*f + 5. Calculate -14*d(g) - 5*o(g).\nAnswer: 58*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 1. Suppose -20 = 5*l, 6*r - 12 = 4*r + l. Let -10 - 15*j**2 - s*j**r + 6*j + 12*j**3 - 12 + 22 = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12263 - 30101?\nAnswer: -42364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238460.\nAnswer: 2, 5, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-3\/10)*g*g*g)\/g)\/g)\/(g\/(g\/(g*g**(-2\/43)*g))) assuming g is positive.\nAnswer: g**(579\/430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 30\/13, -0.4, 4, 5, 20?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + -104 + 112?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9210529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -607265*q**3 + 7287155*q**2 - 21861240*q - 900 = 0.\nAnswer: -5\/121453, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 249069977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**4\/24 - o**3\/6 + 3*o**2. Let w be d(9). Let p be w\/(-4)*(-4)\/(-2). Solve -5*u - 2 = -p*x + 13, 2*x + u = 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 8 - 4 = 0. Suppose -4*b + 1 - 3 = -2*q, 0 = -p*b - 5*q + 5. Suppose -2*s - 3*i - 5 = b, -3*i = -i + 6. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -143, 1 in increasing order.\nAnswer: -143, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 22 + 38 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + -58. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 299904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -264\/170413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -77. Suppose v - 2 = -m, -i*m + m - 11 = -v. Suppose v*j + r - 60 = -13, 33 = 3*j - r. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 - 2*b - 3. Let c(y) = -4*y**3 + y**2 - 1. Let o be c(-1). Is f(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 29 = 2*z, 2*x - 12 = -z - 0*z. Suppose z*r = -r + 15. Suppose -r*b - 1 - 4 = 2*i, 2*b = 2*i - 30. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 - -0.36. Is -7 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 15 = -9 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -7*q - 46. Calculate i(-14).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1735779 to the nearest integer?\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.016 + 2.284. Let a = l - 2. Which is smaller: -0.1 or a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from vzmmtmvzvvvch?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 26\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -0.5 (b) -4 (c) -0.1 (d) -261\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9845555, -9845556, -9845557, -9845558, -9845559, -9845560?\nAnswer: -9845561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (3 + sqrt(13)*-2)**2 + ((sqrt(91)*-2)\/sqrt(7) - ((sqrt(208))**2 + 5)))*-1.\nAnswer: 14*sqrt(13) + 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 25510.81131 to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 115. Find the third derivative of s*z**3 + 3*z**2 + 8*z**4 - 85*z**3 wrt z.\nAnswer: 192*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1305, -1301, -1297, -1293, -1289?\n\"Answer: 4*s - 1309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j - 5. Let s be r(-8). What is the second derivative of 0*v**4 + 3*v + v**4 + s*v**4 wrt v?\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*l. Let q be 16\/(-24) - ((-65)\/(-15) - 3). Let o be (-3)\/12*(q - l). Put o, -1, -5, 14 in ascending order.\nAnswer: -5, -1, o, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*o + 12*o - 19*o)*(2327 - 2327 + 45*o).\nAnswer: 3330*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*(b\/(b**1*b*b))\/b*b**(2\/11)*b\/(b**(-2\/7)*b)*((b*b\/b**(3\/2))\/b*b)\/b assuming b is positive.\nAnswer: b**(-5\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1404194 to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-17)\/((-1020)\/990).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jay when three letters picked without replacement from {a: 1, z: 1, x: 3, y: 1, j: 1, m: 5}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 331?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 2690?\nAnswer: 8070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22, 42, 62, 82?\n\"Answer: 20*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26944091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11080*s**2 + 58*s - 16.\nAnswer: 22160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + q**4 - 2*q**4)*(0 + 3 - 1)*(6*q + 2 - 2) - 3*q**5 + q**5 + 3*q**5.\nAnswer: 13*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -10998662.\nAnswer: 659919.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 = 9. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -2. Suppose 12*c - 16*c = -908. Let l = z + c. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-55))\/((-31)\/2325)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -243818*y + 487647. Determine r(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2709726.\nAnswer: 2, 3, 451621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14215, -28433, -42651?\nAnswer: -56869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b - 3*b + 3*b - 3*b + 2*b - b + 2 - 2 + (3*b - b - 4*b)*(6 - 3 - 2) + b - b - b - b - 5 + 5)*(-6 - 24 + 55 + (-1 + 0 - 2)*(1 - 2 + 3)).\nAnswer: -76*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 33*m**2\/2 + 19*m + 1. Differentiate u(f) with respect to f.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-3\/5)*n*n*n**(3\/10)*n*(n*n**(-1\/10)*n)**(13\/4) assuming n is positive.\nAnswer: n**(79\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -45 - (161 + -20 + -40)\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*n - 2*n = 397428. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -96, -92?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0*(-2)\/(-4))\/((-4)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3140 (base 5) to base 3.\nAnswer: 120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-60) + (378\/105)\/18?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 6*m + 2*m)*(0*m**2 - 2*m**2 + 0*m**2) + (-3 + 6 - 5)*(2 - 2 + m**3).\nAnswer: -10*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by 19.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 + -71.8. Let j = 0.505 + -0.005. What is the nearest to j in -0.4, -1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5292603023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - -2)*358\/(-19690)*(8 - 3)?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*z + 19, -z + 3*p = 4*z + 17. Let r(w) = -7*w - 1. Give r(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 14*f**3 + 2*f**2 + 5*f - 2. Let c(v) = -57*v**3 - 9*v**2 - 19*v + 9. Let m(i) = 9*b(i) + 2*c(i). What is the second derivative of m(r) wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, h: 7, a: 6, u: 2, i: 3}. What is prob of sequence uiea?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*t + 1981 - 3876 = -1433 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 7, 10.9 in decreasing order.\nAnswer: 10.9, 7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 15856.29.\nAnswer: 792.8145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**3 - 6*s**2 + 7*s + 6. Let v be d(-4). Suppose -v = c - 68. Suppose u = 2 + 1. Sort c, 4, u.\nAnswer: c, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d - 18*d = 16. Suppose 2*b - 6 = 3*c, b + d*c + c = 3. Suppose -4*s + 559 = 5*q, -q + b*q - 562 = -4*s. What are the prime factors of s?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 191 + -88. Let t = s - 147. Let a = 48 + t. Solve a + 6 = -2*d + 2*o, 0 = 5*d + o + 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2269 is divided by 321.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 46761231 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + -0.1. Let u = 7.08 + b. Let a = u - 6.9999952. Round a to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.79 * 14.\nAnswer: 53.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11975 + 12071. Suppose 4*g - g - 123 = 0. What is the remainder when r is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155 - 151. Solve -c*g + 11 = -r, -4*r = -4*g - 4 + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 30*n - 15 = 25*n, -2*n = -8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-6))\/(1\/(-12)). Suppose -10 = -13*d + t*d. Solve 0*o - d*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 5:50 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 401*w + 108*w + 321*w - 167*w in the form y*w + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 7*g - 14. Give b(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 3*l**2 - 36*l + 10. What is m(8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -529437 and 130.\nAnswer: -68826810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -94 (c) -4\/43 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzr. Give prob of sequence zz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496 divided by 2?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158910, -317821, -476732, -635643, -794554, -953465?\nAnswer: -1112376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13371 and 4?\nAnswer: 53484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*k + 16 = 0. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 4:16 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 16, c: 2}. What is prob of picking 2 x and 1 c?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 490*y**3 + y**2 - y. What is k(1)?\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i + 65*i + 49*i = 180*i - 1152 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 14\/3*i**2 + 16\/5*i + 8\/5*i**3 + 0 + 2\/15*i**4 = 0. What is i?\nAnswer: -8, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*t = -106*t - 119 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25 - 3*(-2)\/(-3). Suppose -15*g = -1373 + q. What is the highest common factor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -9*b - 2. Let n(j) = -7*j - 1. Let f(q) = 5*n(q) - 4*s(q). Let d be f(0). Solve 2\/3*x**d + 2\/9*x**2 - 2\/9*x**4 + 0 - 2\/3*x = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-6) - -1 - (-184)\/6. Solve 5*g + 5*a = -p, 2*a = -0*a - 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*j = 97*j + 63*j + 1260 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3*(-1)\/12*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/6)\/((-6)\/(-104)). Let o be ((-7)\/(-3))\/((2 - -4)\/(-828)). Let r = o - -323. Is m equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66117001 is divided by 88156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/29? (a) 3 (b) 3\/5 (c) 2\/3 (d) 1 (e) -6\/1037\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 73841 = 3*i - 13123, -2*q + 2*i + 30362 = 0. What are the prime factors of q?\nAnswer: 5, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -76 - -34. What is the smallest common multiple of 6 and 15 + (-8)\/((-48)\/p)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jelejl. Give prob of sequence el.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*b + 5*r, 2*b + b - r - 6 = 0. Suppose 0 = t + b - 6. Is 33*2 + t - -2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(4\/3) + 0. Let y = -130 + 124. Which is the nearest to v? (a) y (b) -2\/7 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 6 + 26117*g + 12.\nAnswer: 26117*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 4)*(4*n + 12*n - 4*n + (0 - 4 + 2)*(-n + 3*n - 4*n) + n + 0*n + 0*n - 5*n + 4*n - n - 1 + 1 - 2*n) to c + b*n and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/3*1\/(-1). Let y be 4\/8*(k + -1). Calculate the remainder when 20 + y + (-3 - -3) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 5*y**4\/12 + 14*y**3\/3 + 135*y**2\/2 + 17*y. Is 9 a factor of u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from rnzsrzdrr.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 688 + 161 = v, -3*v + 2535 = 3*b. Let i = -591 + v. What is the greatest common factor of 17 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2*a - 4*a - 6 = 0, -5*a - 6 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-28 - -22) - (2 + -4 - (3 - -73)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 + 2*d**2 - 3*d**2. Let n(z) = -6*z + 5. Let w(s) = -5*s + 4. Let i(m) = -4*n(m) + 5*w(m). Give i(x(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 5 (c) 15 (d) -2\/5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 9*x + 30. Let w be t(-6). Let p = -498 - w. Round p to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, b: 13}. Give prob of sequence vvb.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 9*b = 0. Suppose -50 = -5*p - 0. Find the third derivative of b*f**2 - p*f**6 + f**6 - 4*f**2 wrt f.\nAnswer: -1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 164878 and 247317?\nAnswer: 494634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, g: 4, o: 1}. Give prob of sequence qg.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-56)\/7 - (-117)\/15. Which is the third biggest value? (a) 6 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 104*p - 22*p + 9 - 30 + 9 in the form a + b*p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*n - 356 = 175*n. Suppose -22 = -5*u + n. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p - p**3 - 3*p**3 + 4*p)*(-3 - 2 + 0 + (-3 + 6 - 1)*(-4 + 5 + 1)) in the form l*p + v*p**2 + r*p**3 + m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.354551 micrometers to nanometers.\nAnswer: 7354.551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**5 - 34*o**4 + 99*o**3\/5 + 146*o**2\/5 - 124*o\/5 + 24\/5 = 0. What is o?\nAnswer: -1, 2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 1. What is n(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/18 + 122\/(-18) + 7. Sort -1\/3, b, 3\/5, -2\/9 in ascending order.\nAnswer: -1\/3, -2\/9, b, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m - 440 - 443 + 882. Let h(s) = -s**3 + 2*s**2 + 5*s - 4. Let n be h(3). Give d(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from ccoazrii.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 12*w - 11. Let s be g(12). Let h = 14 + s. Suppose 26 = 4*l + 5*i - 4, -l = -h*i - 16. Solve 0 = 4*a - 6*a + 5*v - l, -2*v = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1.6. Let o = k + 0.37. Let z = 0.03000044 + o. Round z to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-2\/5)*r*r)**(-2\/23)\/(r**(1\/3)*r**(-3))*((r\/(r*r*r*r\/(r\/(r\/(r**2*r)*r))*r)*r)\/r**(6\/5))\/(r**0*r)**(-2\/127) assuming r is positive.\nAnswer: r**(8183\/43815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22440332 + -224?\nAnswer: 22440103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/3 + 11837\/21. Let v be 2\/(-3) - r\/(-3). Suppose 2*z - v = 5*u, z - 5*u - 379 = -3*z. 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: Which is smaller: -11980 or -496?\nAnswer: -11980","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.31338 and 5.\nAnswer: -11.5669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/(((-8)\/(-12))\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myyyymym. Give prob of sequence ymy.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25091274 is divided by 180.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(192) + 2 + sqrt(192))**2 + (1 + sqrt(192) + 0)**2 - (-3*(1 + sqrt(192) + 4))**2.\nAnswer: -967 - 544*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 20*n**2 + 11*n + 466. Determine g(22).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.22 - -1.28. Let w = -14.5 + l. Is -8 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - (-3)\/(-6). Suppose -2*b + 802 = -s*b - 4*n, 3*b + 3*n = 1185. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13905285 and 33720.\nAnswer: 4215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2184 and -47\/1973692.\nAnswer: 153947976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 10*s**2 - s + 2. Let r be a(-8). Suppose 3*c - 38 = 2*c - 2*p, 5*c - r = 3*p. Is 24 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1708, -1705, -1702, -1699?\nAnswer: -1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109 + 10*b**3 - 2*b**3 - 216 + 105 + 3*b**3.\nAnswer: 11*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 i when three letters picked without replacement from {c: 13, i: 2, b: 3}?\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 953904492 to the power of 1\/2, to the nearest integer?\nAnswer: 30885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9b6 (base 13) in base 4?\nAnswer: -122012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53473750 and 8750?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Suppose -r = -3*a - 15. Let z(o) = -38*o + 20. Let n(g) = 7*g - 4. Let d(b) = 11*n(b) + 2*z(b). Give d(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49096?\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 5977.8\nAnswer: 5977.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 2 - 3 + 248*i - 1 - 1640*i.\nAnswer: 2*i**2 - 1392*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-7\/4))\/(((w*w**(-7))\/w*w)\/w))\/((w\/w**(-1\/6)*w)\/w*w**(1\/6)) assuming w is positive.\nAnswer: w**(101\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5*s**2 - 2*s - 85. Let r(h) = -32*h**2. Calculate o(r(m)).\nAnswer: -5120*m**4 + 64*m**2 - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 273?\nAnswer: -26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4 - 25*i**3 - 46*i**2 = 0.\nAnswer: -23, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/6 + (-2133126)\/(-108).\nAnswer: 19751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8819178 divided by -3?\nAnswer: 2939726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 11:04 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26102 is divided by 4336.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 370143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 60*s**4 + s**2 + 55*s**4 - 2*s**2 in the form a*s**3 + p*s**4 + t + o*s + d*s**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 471746 is divided by 471645?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2455 - -19641\/8. What is the nearest to -1 in 1\/18, 30, r?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 140?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 10, -3, 0, 9 in descending order.\nAnswer: 10, 9, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7286 and -5.\nAnswer: 36430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n - 181 + 211. Let l(r) be the second derivative of -1\/220*r**5 + 2\/11*r**2 - 1\/132*r**4 + 2\/33*r**n + 0 + 18*r. Factor l(p).\nAnswer: -(p - 2)*(p + 1)*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 74303451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 20 = 4*c, -2*v = -0*v + 5*c - 11. Let g be v\/(-9) - (-352)\/36. Let i = 18 - g. Is 4 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g**2 - 5*g + 2. Let y(q) = 4*q**2 + 4*q - 3. Give -2*f(h) - 3*y(h).\nAnswer: -2*h**2 - 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5822 + 6809. Calculate the remainder when z is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 s when three letters picked without replacement from ssssssssssisssisssss.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 67\/4 - (-4)\/16. Suppose v + 3 = -5*x. Let s(z) = z**2 + 4. Calculate the least common multiple of 12 and s(x).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -187, -194, -203?\nAnswer: -214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3, 1, 1405, 0.4 in descending order.\nAnswer: 1405, 3, 1, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-14)*4 - (-15 - 891\/77). Solve 2*b - 22 + 30 = 0, -2*c - 4*b = t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-25 - -20) + (2 - -2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31397, 62731, 94079, 125447, 156841, 188267, 219731?\n\"Answer: b**3 + b**2 + 31324*b + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 15. Let m be a(-5). Solve -4*d + 5 + 7 = m for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 712*l**5 + 2*l**3*x - l**3 + 4*l**2*x + 3*l**2 - 123*x wrt l.\nAnswer: 42720*l**2 + 12*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1387 and 32262?\nAnswer: 2355126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -0.08, 1\/2, 0.141?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -62*y**5\/5 + 7*y**3\/3 - 749*y + 436. Differentiate f(p) with respect to p.\nAnswer: -248*p**3 + 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5716126 * -5.\nAnswer: -28580630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - 6*w**2 - 6*w - 11. Let i = -4 + 11. Let o be d(i). What is the closest to o in -3, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**4 + 0*k**2 + 0*k**5 - 1\/3*k**6 + 5\/3*k**3 + 1 + 0*k. Find the third derivative of v(x) wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 9 + 6 + (-3 - 5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 + 26 = 0. Let m be 0 + (-2 + 6)\/(-2). Let t = m + y. Solve 2*d + 4 = -o - 3*o, 0 = -3*d + t*o + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10832 and -0.1.\nAnswer: -1083.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 PM and 7:57 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 8:49 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/7 + 31*d**3\/7 - 25*d**2 - 207*d\/7.\nAnswer: -d*(d - 23)*(d - 9)*(d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*z = -f + 805, -5*f = 4*z - 805. Suppose -4*x = -84*g + 89*g - 137, -5*g + 5 = 0. Calculate the remainder when f is divided by x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1842, 1842, 1826, 1788, 1722, 1622, 1482, 1296?\nAnswer: 1058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 21 = -c. Let f = c + 9. Suppose 5*j - 4*h - 120 = 0, 2*j + f*h = 4*j - 48. Is 12 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 20*p - 9*p - 14 - 22*p + p**2. Is u(-4) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5.5 and 18.12.\nAnswer: -99.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1. Let n = 88 + -87. Let d(k) = -2*k. Calculate n*d(j) + 2*r(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118391*b**2 - 340595*b**2 - 196056*b**2.\nAnswer: -655042*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 9 = -s, -s = -26*a + 23*a + 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - 0. Let w be 5\/10 - (-55)\/(-88). Which is the third smallest value? (a) u (b) -0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 225\/(-2700)*10\/(-35)*-7*(-1)\/(-6)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -6 - -7 - 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 11. Sort -5, m, -2.\nAnswer: -5, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16218 and 23426.\nAnswer: 210834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(2\/(12\/(-3))). Suppose -3*d - 2*d = f*x + 11, -2*x = -5*d + 13. Which is bigger: d or 1\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 79*i = -246. Sort -46, -4, i.\nAnswer: -46, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -851237 - 851052 - 128*p + 1702289.\nAnswer: -128*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**5 - 215*f**4 - 18717*f**3 - 152173*f**2 + 860492*f - 689388 = 0.\nAnswer: -58, -14, 1, 3, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1441 divided by -203\nAnswer: -1441\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n**2 + n - 2. Let p be u(2). Let l = 26 + p. Suppose -o + 109 = 19. What is the highest common factor of l and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c450 (base 14) to base 11.\nAnswer: 4a275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rqrqlrqirrqrrqqqnii. Give prob of picking 1 n and 1 i.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*p**2 - 296*p**3 + p**2 - p**2 + 197*p**3 + p**4 - 3 in the form w + d*p**3 + x*p**2 + i*p**4 + y*p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(1068\/888)\/89?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*v**3 + 2*v**4 - 16*v**3 + 2*v + 1 - 29*v**3 + 4*v**2 to n*v + y*v**4 + w*v**3 + i*v**2 + p and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:27 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 41\/2 of a minute?\nAnswer: 1230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozomozoozhhzzzmzz. What is prob of picking 1 h and 2 z?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = -18955*c + 18952*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -9*(-26)\/(-117)*-10040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/3*((-175)\/308 - 2\/11). Solve s*k = 5*x + 7, -2*x + 4*x + 2 = k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - c**3)*(-120*c + 140*c + 152*c) to b*c**4 + p*c**2 + o*c**3 + n + h*c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:46 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 7*d**2 - 6*d + 5. Let b be n(7). Let q = -12 - b. Solve -22 = -2*t + 3*r, t - 5*r + 0*r - q = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 33. Suppose -280 = -h*m - 7*v + 3*v, -2*m - v + 142 = 0. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 59. Let d(b) = 451*b - 9*b**2 + 502*b - 953*b. Determine l(d(o)).\nAnswer: -9*o**2 - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -871, -832, -767, -676, -559?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - 2*u)*(-2*u**2 + 5*u - 5*u) + u**3 - 8*u + 0*u + 5*u.\nAnswer: -u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 75779208199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*y + y + 0*y)*(-17*y + 73 - 73) - y + y**2 - y**2 - 1 + y**2 as z*y**2 + a*y + t and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(3 + -3 - 1). Let k(x) = -v*x**2 - 4*x**2 - 4*x + 6*x**2. What is k(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 6. Let p be k(-13). Calculate the greatest common factor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 18*u**2 - 3*u + 61. Let b = 338 - 320. Give j(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*5\/(45\/6). Let o = 14 - z. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - ((-4 - -4) + 3)) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145680, 32, -83 in decreasing order.\nAnswer: 145680, 32, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knmxn. What is prob of picking 2 n, 1 m, and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*s - 10303, -4*s = -s - 12. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133.4 + 128.4. Which is the second biggest value? (a) 2 (b) 4 (c) f (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.3259481 years?\nAnswer: 0.0003259481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + -39275107?\nAnswer: -39275102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -10. Suppose -2*f + 9 = -0*f - y*z, -3*f = -5*z - 11. Let m(x) = x**2 + x + 4. Let q be m(0). Solve -v + f*c - 20 = -5*v, q*c = -2*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*a - 405 = -333*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 4, -295.\nAnswer: -295, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -33416, -66831, -100246, -133661, -167076?\n\"Answer: -33415*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3\/2 - 19329680*f**2 - 38659355*f\/2.\nAnswer: -5*f*(f + 1)*(f + 7731871)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + n + (-6 + 5 + 4)*(4*n - 2*n - 4*n) to the form y*n + m and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 12 = 0, -5*b + 3*q + 325 = -2*q. Let g = 68 - b. Suppose g*d = d + 294. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -753\/5 + 150. Let s be ((-22)\/10 + 1)*3*45. Let o = s - -163. Put o, v, 23 in increasing order.\nAnswer: v, o, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3658.448 < 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 16, -8, -2, 10, 0 in ascending order.\nAnswer: -8, -5, -2, 0, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12302 (base 4) to base 12\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a hour in milliseconds?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5949923.58 rounded to the nearest one thousand?\nAnswer: -5950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8061144?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -62, -22.\nAnswer: -62, -22, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1875 rounded to the nearest 10?\nAnswer: -1880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o + 297 + 464 + 221 to the form p + u*o and give p.\nAnswer: 982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(0 + 4\/(-2)). Let i(d) = -d + 7. Let l be i(n). Suppose 12 = -l*f + 7*f. Solve -4*h + 7 = f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.04 - 195.257.\nAnswer: -195.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t**2 - 11*t - 16. Let q be n(7). Let j = 1427.4 - 1427. Which is the nearest to -0.3? (a) q (b) j (c) 0.02 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93000?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 780953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21518 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/280 and -53\/15187480.\nAnswer: 15187480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*y - y = -25, 0 = r + 3*y + 1. Suppose -50*b = -44*b - 30. Let f(w) = w**2 - 14*w + 46. Let q be f(b). Put r, -3, q in decreasing order.\nAnswer: q, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 1\/6, -3\/56?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-8 + 9 + 2\/(-4)). Let z(u) = 33*u**2 - c - 4*u + 3*u + 3. Is z(1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**6\/15 - 7*y**4\/12 + 6*y. What is the third derivative of l(j) wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (22 - -3) + 20\/(-5). Suppose 0 = -5*n - 6 + b. What is the units digit of 125\/n - (-28)\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1, -731 in decreasing order.\nAnswer: 23, 1, -731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8495 is divided by 194?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 206760571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * -449.969\nAnswer: -404.9721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -860, 1, -2, -1 in decreasing order.\nAnswer: 4, 1, -1, -2, -860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x = -3*x - 3404. Let f = 252 + x. Does 18 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -53814*r**3 + 2*r + 56575.\nAnswer: -322884*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2. Let b(u) = -242*u. What is b(v(f))?\nAnswer: -968*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3003*p - 51357. Calculate g(17).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 703*o**5 + 16902*o**3 - 112104827*o**2 wrt o?\nAnswer: 42180*o**2 + 101412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59023, -235856, -530577, -943186, -1473683?\nAnswer: -2122068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 48873*n - 928281. Calculate q(19).\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = 5*d - 40, -87*t = -2*d - 82*t + 27 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3211738 is divided by 401454?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 483330*u + 20. Let s be (1 - -11)\/((-24)\/(-12)). Let v be p(s). What is v rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2780, -70, -15, 0 in decreasing order.\nAnswer: 2780, 0, -15, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 15*j - 25. Let s be k(-13). Calculate the remainder when 25 is divided by (s*5 + 1)\/((-20)\/(-30)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -366 - -386. Sort 0.3, f, 14 in decreasing order.\nAnswer: f, 14, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2736 and -103\/6480?\nAnswer: 123120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/23, -18, 21\/4?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474970 is divided by 8332.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0526 and 135659979.\nAnswer: 135659978.9474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 4*r + 1. Let l be x(-1). Suppose -7*w + 2*w + 10 = 0. Let t be 4 - (-63)\/(-5)*(-220)\/(-726). Which is the nearest to w? (a) l (b) 2\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3216 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2112.86 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 10:54 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 20. Suppose b = l*d + 14, 3*b - 4*d = d + 43. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/3131715 and 38\/15.\nAnswer: 3131715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -179*q**5\/4 + q**4\/12 - 325*q**3\/2 + 3383*q**2. What is the second derivative of y(w) wrt w?\nAnswer: -5370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**5\/20 + v**4\/6 + 231*v**2\/2 + v. Let a = -668 + 668. What are the prime factors of q(a)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*a - 69 = 1835 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/522 and 115\/10092.\nAnswer: 30276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(5)*1 - sqrt(5)) - (sqrt(5) - (sqrt(25)\/sqrt(20) - sqrt(5))).\nAnswer: -4 - 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 614125 is divided by 153469?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a. Let h be l(2). Let c be 4\/(-18)*(-6)\/h. Sort -0.2, c, -0.1.\nAnswer: -0.2, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -47) + 3118 + -3188\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.303, -2, 0.1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(((t*t\/((t\/t**(1\/2))\/t)*t*t)\/t*t)\/t))\/t**6)\/(t\/(t*t**3))**25 assuming t is positive.\nAnswer: t**(133\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4131 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 461 + 2?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 + 4*z**3 + 0*z**3)*(-16*z - 78*z - 13*z)*(5*z - 2*z - 4*z).\nAnswer: 642*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31.017 + 0.017. Let j = u + 27. Sort j, -2\/11, 1.\nAnswer: j, -2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m + 22. Let i(j) = -j**2 - 45*j - 203. Let r be i(-40). Let x(q) = -10*q + 61. Let g(h) = r*x(h) + 8*c(h). Calculate g(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.27 and -610463.\nAnswer: 164825.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**4 - 2*k**3 + 2*k**3 + (-2 + 1 - 1)*(-k**4 + k - k) - 1248*k + k**4 - 2*k**4 + 1105*k in the form d*k**3 + u*k + s*k**4 + m*k**2 + h and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p + 152. Let j(w) = 2*w - 76. What is -4*c(l) - 7*j(l)?\nAnswer: -2*l - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*3*(-4)\/(-6). What is the third derivative of 5*p**4 - 4*p**4 + 6*p**2 - 7*p**j wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-8)*(-12)\/(-9). Suppose 4*o + 42 = n*u - 20, 5*o + 58 = -4*u. What is o rounded to the nearest integer?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -10, -4, -3, 716, 5, -5 in increasing order.\nAnswer: -10, -5, -4, -3, 5, 30, 716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -289, -154, 401?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u - 36. Let q be h(-9). Suppose 0 = -i + 4*t + 17, 3*i + q = -3*t - 0. What is the derivative of -i - 34*l**2 + 4 + 7*l**2 + 14 wrt l?\nAnswer: -54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-18) - (5 - 909\/81). Suppose -o*u = 2*u - 32. Calculate the remainder when 47 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 12:43 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103319*-0.3.\nAnswer: -30995.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 + -59. Suppose -83 + b = -2*c. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112893 != 115240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a2 - 18743?\nAnswer: -19135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 597\/1198 - -1\/599. Let u(s) = -9*s + 1. Let o be u(9). Is m >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 37*o + 35. What is i(-10)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**4\/12 - o**3\/2 + o**2 - 2*o. Let c be m(-3). Find the second derivative of -c*b - 3*b - 2*b - 2*b**2 + 2*b wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/19655 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -135. Let q = 11.2 - 11. Which is the nearest to -1? (a) 1 (b) q (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 1. Let b(s) = 8*s**2 - 9. Let u(t) = -2*b(t) - 18*p(t). Let f(l) = -8*l**2. Let m(a) = a**2. Let d(w) = 3*f(w) + 20*m(w). Give d(u(n)).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {s: 2, p: 2, w: 3, z: 2, m: 2, l: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26836674 to the nearest integer?\nAnswer: 5180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 3 + -77 + 2\/2. What are the prime factors of ((-850)\/d)\/((-1)\/(-14))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/7 + 3690*l**3\/7 + 3385525*l**2\/7 - 34132500*l\/7 + 85562500\/7.\nAnswer: (l - 5)**2*(l + 1850)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1834122 divided by 3?\nAnswer: -611374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/85 and 56\/5.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*w + 3*p + 39 = -62*w, -2*p = -4*w - 30 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(3\/7)*i*i*i)\/((i\/(i**(-1\/19)*i)*i)\/i) assuming i is positive.\nAnswer: i**(715\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 + 28*y**2\/5 - 161*y\/5 - 38.\nAnswer: -(y - 19)*(y - 10)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -432*r**3 + 682*r**3 - 366*r**3.\nAnswer: -116*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = -48*f - 64*f + 1100 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, f: 2, c: 1, h: 2}. What is prob of picking 1 c and 1 j?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -70324 divided by 2?\nAnswer: -35162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - u = 2*x - 48, -u + 124 = 4*x. Let m = 38 - x. Solve -m + 23 = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 397*p**3 + 28*p - 1 wrt p?\nAnswer: 2382*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/(-10) - 3\/5. Let a be 13843\/12 + (1 - d). Let c = 1148 - a. Calculate the common denominator of c and 13\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3276 = 9*n - 738. Suppose 606 + n = 4*t. Suppose 2*r - z = -0*r + t, -2*z = 5*r - 653. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (76 - 74) + (0 - 29) + 7.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 11814*y**4 - 11791*y**4 + 7*y + 2 + y**3 - y**2 - 5 + 5 to the form x*y**4 + w + a*y**2 + u*y + h*y**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41.787 and -212.5.\nAnswer: -8879.7375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*d + 59*d - 48 = u - 11, 663 = 17*d for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -922411 = -288*i + 2496725. Is 32 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 27 = -5*o, -20*o + 12*o + 2*h = 5*h - 43 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60 - -74. Let y = w + -10. Which is the second biggest value? (a) y (b) -0.3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-5)\/r)\/r)\/r**(-9))**(1\/36) assuming r is positive.\nAnswer: r**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = p + 6. Suppose 0 = 2*z - 4 - p. Suppose 21 = 20*i - 13*i. Solve b = -2*j + 1, i*b + 0*j = -4*j + z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 1 + 1)**2.\nAnswer: 48*sqrt(13) + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12509084411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 + 6*c**2 - 6*c - 35. Let x(u) = u**3 - u**2 + u + 7. Give 2*r(n) + 11*x(n).\nAnswer: n**3 + n**2 - n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29.8 in 2, 0.2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 - 7*u**2 - 6*u**2)*(1035 + 286 - 71) in the form v*u + i + l*u**2 and give l.\nAnswer: -12500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 188327621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*d + 1. Suppose -2 - z**4 - 5*z - 4*z**4 + 2*z**2 + 8*z**d + 5*z**3 - 3*z**2 = 0. What is z?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 3.57442374873.\nAnswer: -3.27442374873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -354\/5 + 71. Which is the third smallest value? (a) 0.4 (b) 0.07 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9.48, -90, -2\/5, -0.03?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 434200 and 7181?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f4 + -9?\nAnswer: -fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**3 - 261*u**2 - 4*u - 16630. Calculate o(131).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1588, -5, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(228)\/sqrt(6))\/(sqrt(24)\/(sqrt(12)*-2) + sqrt(2))*1.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -11. Suppose -4*m = -0*a - a - p, 5*m - 29 = 4*a. Let w be -7 + 5\/((-15)\/(-36)). Is m at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55651 and 1247?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = 2*h - 8, -2*h = -5*a - 8. Suppose 0*q = 5*y - 2*q - 20, -h*y + q = -13. Factor o**3 - 4*o**4 + 3*o**4 - 4*o**3 - o - 3*o**y.\nAnswer: -o*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000713 rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -27444*p - 521663. Give c(-19).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2.4 (b) -0.5 (c) 1 (d) 108 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*-2*sqrt(102))\/((2*(sqrt(600)*-2 + sqrt(600)) + sqrt(600) - sqrt(600)) + sqrt(600)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3539199821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -67*a**5\/20 + a**4\/6 + 5*a**3\/2 - 2*a - 12. What is the third derivative of k(i) wrt i?\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*h + 1 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*w + 56 + 82. Let y(a) be the second derivative of a**5\/20 + 5*a**4\/12 - a**3\/2 + 3*a**2\/2 + 7*a. Determine y(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4\/7, 0.08, 30, 0, -0.13, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1957632 and 12?\nAnswer: 1957632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 3*m + 5, -45*c + m + 20 = -48*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 3*t**2 + 3*t + 2. Let c be d(-2). Let p(l) = 4*l - 5. Let j be p(c). Is 1\/(-5) + (-3146)\/j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06451 times -2?\nAnswer: -0.12902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 88 = 4*g. Suppose 2*b - 2*m = 3*b - 12, 33 = 5*b + m. What are the prime factors of b\/(g\/16 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 196713*x**2 + 2360157*x + 2163447.\nAnswer: 3*(x + 1)*(x + 11)*(x + 65559)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3743312.505 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 21 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37280 divided by -466.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 12:38 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 13*l + 17. What is z(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.2, -4, -75, -0.5, -5\/6, 0, 219?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -1 + 15\/(-3). Let d be ((-3)\/(-24))\/(6\/(-8)). Which is the smallest value? (a) -0.5 (b) d (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**3 - 7*x. Let n(w) = w**3 + 3*w**2 + 2. Let z be n(-3). Let p(g) = g**z - 6 + 6. Determine p(i(s)).\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/99 and 32\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1883, 5915, 12097, 20429, 30911, 43543?\n\"Answer: 1075*o**2 + 807*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 3*b + 37, f + 3*b - 5 = 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20643366 + 142?\nAnswer: -20643224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 4.1972\nAnswer: -4.6972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13880*i + 7 + 4*i**2 + 13880*i.\nAnswer: 4*i**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 54, 188, 476, 990, 1802, 2984?\n\"Answer: 12*w**3 + 5*w**2 + 35*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16942 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45906, 91754, 137600, 183444, 229286?\nAnswer: 275126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (42 - -1) + -2588 + 2624\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a + 0?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 2\/7, 1\/2, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 - 3*s - 5. Let d be l(4). Suppose -178*u + 1486 = -2440 - 2660. What is the highest common divisor of d and u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 4*p - 12. Let i be k(4). Solve -2*x = -2*s + 8, i = -2*x - 2*s - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359 = -2*r - 355 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1290\/10750 + (-1022)\/(-25)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4067*a - 3303*a = 15280 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2634 - -7426. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 69 and 23?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12987\/7 + -1855. Which is the closest to m? (a) -1\/17 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t**2. Suppose 0*v - 3*v - 6 = f, -14 = 5*f - v. Let k be (-1)\/((-3)\/(-2))*f. Let b(q) = -q**k - 62*q + 27*q + 35*q. Determine b(p(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1108297529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11.42 and 0.2.\nAnswer: 11.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d**1)\/d)\/d)\/((d\/(((d\/(d\/(d\/d**0*d)))\/d*d)\/d*d))\/d*d*d))**(-3\/17) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 + -4.1?\nAnswer: -3.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-2)\/4) - 2. Let f be 2*(2 + d - 1). Let u be ((-3)\/(-1))\/(90\/(-120)). Sort u, -1, f in ascending order.\nAnswer: u, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 4*h + 4. Let v be x(4). Let i be (-1 + v + -1)*4. Solve 5*q - i*q - 15 = 0, 4*q + 24 = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 18*y + 2. Determine g(17).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5747 - -114889\/20. Calculate the common denominator of o and -121\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.6. Let p = -134\/3 + 124\/3. Suppose f - 3*f = 0. Which is the biggest value? (a) i (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 808 is divided by 207?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2400 = -11*i + 17*i. Calculate the highest common divisor of 1360 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.12 + -5.1445. Let v = 0.3245 + i. Which is the second smallest value? (a) v (b) 2\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-146890)\/5180 - (-2 + -24)) + 30\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84480.47 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 72 - 74. What is the second smallest value in p, 0, 0.05?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812074 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, b: 3, v: 2}. Give prob of picking 2 o.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -61955.76 rounded to the nearest one hundred?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018706 rounded to 4 decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84012838 to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**3 + 2*i. Let a(s) = -632*s**3 + 6602*s**2 + 9*s. Let f(w) = a(w) - 4*d(w). What is the third derivative of f(z) wrt z?\nAnswer: -3744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p - 32 = 43*p - 2*j, 4*j = 4*p - 56 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*d + 334 = -211*d - 13*j, 44*d - j = 47*d + 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/3*588\/1960\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 229 - -739. Does 45 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in 3, -2\/27, 59.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {h: 6, l: 2, g: 9}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4707, 4741, 4785, 4833, 4879, 4917, 4941?\nAnswer: 4945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - ((-5)\/(-1) - 140). Suppose d = -5*m - 5*p + 739, 15 = -3*p. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -558c8bc + -6?\nAnswer: -558c8c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m - 25*m + 4*z = -4, 2 = 3*m - 2*z. Let h = 181 + -84. What is the units digit of (4 + m + -5)\/((-1)\/h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) 7\/3 (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -784 divided by 1?\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -4. Suppose l = -8*f + 5*f. Solve 1 = -b - f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -60*(-146)\/14 + 84\/294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -9*(-1)\/(-9)*-3. Let y(h) = h + 4. Let k(p) = p + 3. Calculate l*k(g) - 2*y(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-142)\/(-12) - (-1)\/6. Suppose -5*f = 15, -5*q = 4*f - 11 - i. What is the remainder when 13 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**7\/735 - 17*b**6\/1260 - b**5\/105 + 2*b**3 - 10. Let l(s) be the third derivative of n(s). Let l(i) = 0. Calculate i.\nAnswer: -4, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 12. What is the smallest value in 2\/11, -5, n?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31753 >= -32652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + sqrt(2) + (-2*sqrt(128))**2.\nAnswer: sqrt(2) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16085 + -16077. Solve 18*w - 21*w - l = t, w - 3*t = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 10 - 10 + (2*p - 4*p + 4*p)*(-4 + 1 - 2 + (-1 + 1 + 1)*(-3 + 4 - 3) - 4 + 2 + 4)*(2 + 11 - 2) to z + d*p and give d.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from ccoccoococcxccxcxcx?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -3*z - 23, -2286*z = -2291*z + 2*g - 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 190213698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwtplplll. What is prob of picking 1 p and 1 t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 3 - 21*c + 21*c. Let f(z) = -7*z**2 - 40. Let a(i) = 2*i**2 + 13. Let n(m) = 11*a(m) + 4*f(m). Calculate 6*n(b) + 34*x(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*i**2 - 8\/7*i - 6\/7 = 0. Calculate i.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381 is divided by 123.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 - 2 + 7)*(-5*c + 71 + 44 + 2*c) as o + r*c and give r.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1262984182 + 3237396017. Let c = g + -1974411880.99999565. Let k = c + 46. What is k rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3 from -273653000983.\nAnswer: -273653000986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (4\/(-4))\/(-2)*0. Let l be 672\/(-21) + 1 + x. What is the third smallest value in l, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-372)\/279)\/(5*(-2)\/6). What is the nearest to l in -4, 0.5, 2\/9, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4080)\/(-9) - (10\/3 - 3). Let b = x + -287. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*o**2 + 1851*o + 2763.\nAnswer: 3*(o + 307)*(2*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12631982 is divided by 12631937?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -33 (b) -0.1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 440.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3631 - 14522 + 3605 - 13*a + 3659 + 3627.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 35*x + 3*x - 2)*(-27*x**4 - 16*x**4 + 10*x**4).\nAnswer: -1056*x**5 + 66*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**4 - 2634*q**3 - 15682*q**2 + 65514*q - 47196 = 0 for q.\nAnswer: -1311, -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 88577307*d*q**2 + 16*d + 145*q + 189 wrt q.\nAnswer: 177154614*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:04 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 - 61. Let m = 22 - j. Suppose 3*h - 125 - 166 = m. List the prime factors of h.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579.3 less than -440.86057?\nAnswer: -1020.16057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swxswwwssxwssswss. What is prob of picking 1 w and 2 x?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -9 + 1 + (10 - (6 + 5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 624031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 1144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 0)\/(-2 - -1). Let r = -0.36 - -0.26. What is the third biggest value in c, -0.5, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2193 - 2185. Let w(a) be the second derivative of -a**6\/360 + a**5\/15 - a**4\/12 + 5*a**3\/6 + 4*a. Let q(k) be the second derivative of w(k). Give q(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 878857 to the nearest integer?\nAnswer: 937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25116?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 5. Let d = -5 - -5. Suppose 0 = -3*w - d*z - 2*z - 6, -2*w = 5*z - 7. Sort v, -3, w in increasing order.\nAnswer: w, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a\/(a\/a**(-1\/13))*a)\/a))\/a**(-10))\/(a**(2\/15)*a)**(-30\/13) assuming a is positive.\nAnswer: a**(165\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*o = 12507 + 62469. Calculate the smallest common multiple of o and 15.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5665)\/75 - (-4)\/(-5). Let r = v + 77. Put 0, -1, r in descending order.\nAnswer: r, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, 3 in descending order.\nAnswer: 8, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 - (-12 + 12) - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + sqrt(320)) + -4 + (sqrt(15)\/(sqrt(363) + sqrt(3)) + 4 + 4)**2 + -4.\nAnswer: -140*sqrt(5)\/3 + 6341\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -90.7+18080\nAnswer: 17989.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (41376\/(-128))\/(3\/(-4)). Suppose g*c - 3 = 430*c. Solve 14 = -4*m - c*w + 6, -w = -m - 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -453*a - 2718. What is v(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1651917?\nAnswer: 3, 19, 73, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 2\/185, -2\/7, -288 in increasing order.\nAnswer: -288, -2\/7, -0.05, 2\/185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5058*x**2 - 1872*x**2 + 20190*x**2 - 8*x + 8*x.\nAnswer: 23376*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1365*v + 282636 = 636*v + 616*v for v.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 5:54 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 8:31 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 102, 160, 256, 402, 610, 892?\nAnswer: 1260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1248.868 kilograms in micrograms?\nAnswer: 1248868000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -4 (c) 3707097\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/3)\/5*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8ad1 (base 16) in base 4?\nAnswer: -20223101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.1857+0\nAnswer: 0.1857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 b, and 1 h when three letters picked without replacement from {y: 2, b: 1, i: 1, d: 3, h: 3, p: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1528 and 1146.\nAnswer: 4584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -140 - 4?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1316 - -14478\/11. Factor 0 + 4\/11*g + h*g**2.\nAnswer: 2*g*(g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**5 + 4*n**5 - 2*n**5 + (n**2 + 0*n**2 - 3*n**2)*(0*n**3 - n**3 + 0*n**3) + 39*n**4 - 39*n**4 + 5*n**5.\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 2 = 3*b. Let r(f) = -f**3 + 18*f**2 - 7 - 11*f**2 + 3 + f. Let y be r(7). Solve -y*x = -b*x - 10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k - 1. Let i be f(1). Suppose 0 = 4*p + g + 41, 0*g = -i*p + 2*g - 38. Let x be (-2)\/6 - p\/3. Calculate the greatest common divisor of 33 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqh when three letters picked without replacement from {q: 7, h: 12}?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*j**3*q**2 + 118*j**3 + 148*q**3 + 3 wrt q?\nAnswer: -12*j**3*q + 444*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, r: 13}. What is prob of sequence er?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7045, 14095, 21141, 28183, 35221?\n\"Answer: -2*n**2 + 7056*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/9 - 165245*s\/3 - 991466\/9.\nAnswer: -(s + 2)*(s + 495733)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -26724, -59124, -91522, -123918?\n\"Answer: j**2 - 32403*j + 5678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6907 or -6924?\nAnswer: -6924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26889*o - 26889*o - 521*o**2 + (2*o - 1 + 1)*(o - 3*o + 0*o) - 2*o**2 - 1 + 1 + 0*o**2 - o**2 - o**2 - 4*o**2 + 2*o**2 + o**2.\nAnswer: -530*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**4 - 4*s**4 - 5 + 4 - 1 wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1454 (c) 57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, h: 1, s: 6}. What is prob of picking 2 x and 1 h?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3*g = 99, -g - 46 - 47 = -5*u. Calculate the lowest common multiple of 372 and u.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5 - 21*i**4 + 4101*i**3 - 3915*i**2 - 24354*i = 0. What is i?\nAnswer: -41, -2, 0, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 46798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -52, -68, -40, 62, 268, 608, 1112, 1810?\n\"Answer: 5*m**3 - 8*m**2 - 27*m - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1679 + 1669. Which is the fourth smallest value? (a) 5 (b) 4\/9 (c) n (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(3\/3)\/(-1). Suppose 5*w - p = -6. Put w, 0, 5 in decreasing order.\nAnswer: 5, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3\/2, 54, -0.474, 1\/7, 3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15204 divided by 543?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -517 (base 13) to base 4\nAnswer: -31201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 657352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1081\/378 - -39\/14. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.3 + 3.5. Which is the closest to -2? (a) 0.4 (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(272)*3.\nAnswer: 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**3 - 14*r**2 - 87*r + 527. Give v(8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 6*d**2 + 2*d - 15. Calculate the lowest common multiple of 39 and b(-4).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.031 - 4.101. Let c = n - -0.07. Let y be (-1344)\/(-616) - (4 + -1 + -1). What is the closest to -0.2 in c, -5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i - i - i + 3*i - i + (1 - 2 + 0)*(-4*i - 3*i + 5*i) - 3*i + 4*i - 2*i - 2*i + 2*i - i)*(7*i - 4*i + 4*i).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.008653539 and -2.\nAnswer: -1.991346461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(20\/5988))\/((-6)\/4). Suppose -3*y - d = -6686. Does 48 divide (-1)\/(-3) - (-4 + y\/(-9))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40710 (base 9) in base 12?\nAnswer: -13630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -569936 or -569926?\nAnswer: -569936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19604 + -156639\/8. Is 23 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 417, 431, 455, 489, 533, 587, 651?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 86412040 to the power of 1\/2, to the nearest integer?\nAnswer: 9296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 140.\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4.19 times 43\nAnswer: -180.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8014 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 5*c**2 - 5. Suppose k - 2 = 0, -2*z + 3*k + 1 = -3. Let m be s(z). Let r be ((-5)\/(-25))\/(6\/(-15)). What is the closest to -3 in r, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 163, 4, 496, -19 in ascending order.\nAnswer: -19, 4, 163, 496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44510740 to the power of 1\/2, to the nearest integer?\nAnswer: 6672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -156203, -624937, -1406163, -2499881?\nAnswer: -3906091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 9:45 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 184.2 - 183.2. Which is smaller: l or 945?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1726*k**4*r - k**4 + 2169*k**3*r - 3*k**2*r - 316916*k*r + k + 3*r + 2 wrt k.\nAnswer: -41424*k*r - 24*k + 13014*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1500 divided by -1\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1818694393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1312163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33638 and 5813258?\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*h**2 - h - 60 wrt h?\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6 = 2*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p**5 - 37*p**4 + 8*p**3*y - 5*p**2 - 21*y wrt p?\nAnswer: -60*p**2 - 888*p + 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 1.3, 690, -1\/12, 4, -3\/4?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 756, -749, -2254, -3759?\nAnswer: -5264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3042774, -3042772, -3042770, -3042768, -3042766?\n\"Answer: 2*k - 3042776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 5. Let z(g) be the third derivative of g**4\/12 - 2*g**3\/3 + 5*g**2. Suppose -29 = 5*d + 4*r, -3*r - 17 = 3*d + 1. Give d*z(b) - 4*a(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-5 + -7593) - (2 + 1). What are the prime factors of y\/(-77) + 2\/7?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332988412.\nAnswer: 2, 127, 655489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3199168 is divided by 4782?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*h**3 + 1938*h**2 + 22*h + 42 wrt h.\nAnswer: 144*h + 3876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545*w**2 + 268*w**2 + 272*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pctp when four letters picked without replacement from ctcpccxkppkpppckkkt.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.209 + 0.2090242. What is y rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -444766, -444815, -444864?\nAnswer: -444913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474 is divided by 150.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**0\/s))**14)**9\/((s**(-13)*s)\/((s\/s**13)\/s*s))**(-33) assuming s is positive.\nAnswer: s**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -2\/9, 4, -2\/17, -2 in descending order.\nAnswer: 4, -2\/17, -2\/9, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9919439 is divided by 13951.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*(-1)\/(2 + -3). Suppose 3*j = -j + 16. Suppose -j*c = -c + r. Do c and -2 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a kilometer?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/132 and 37\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 16 - 4*u - 17 + 8 + 27. Let k be w(8). Sort -17, -1, k in ascending order.\nAnswer: -17, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104203066.\nAnswer: 2, 11, 587, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**2 + 54640446*l + 248798194923243 = 0 for l.\nAnswer: -9106741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-6) + 9495\/(-27)*-10?\nAnswer: 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 311*m - 937286 = 143*m + 154*m. List the prime factors of m.\nAnswer: 66949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 906 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3270 (base 8) in base 7?\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036126024 rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6878 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3*m - 12532388*b**3 + 150*b**2*m - b*m + 100*m wrt m.\nAnswer: -b**3 + 150*b**2 - b + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w - 5*w - w)*(-1 + 1 + w) - 6*w**2 + 3*w**2 + w**2 + w**2 - 2*w**2 + 1 - 4*w**2 to the form o + z*w**2 + d*w and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/7 - 5862*q\/7 + 420808.\nAnswer: 2*(q - 2287)*(q - 644)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -62999 + 62999. Let j = -27 + 12. Let k = 10 + j. Sort 1, 2, v, k.\nAnswer: k, v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Suppose -n*l + 4*l - 4 = 0. Let k = l - -9. What is the lowest common multiple of 5 and k?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76600 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 8 = 5*h, -1 = -4*h + 7. Suppose -4 = -3*c + b. Suppose -4*g + t + 2*t + 21 = 0, c*t + 21 = 5*g. Solve 5*y = -g + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -52*g - 515. What is z(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7932271569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 764260 is divided by 5703.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1799*k**2 + 32*k + 177*k**2 - 30*k)*(1 + 0 + 1) to f*k + l*k**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2190 and 115\/330666?\nAnswer: 120693090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.16 less than -85?\nAnswer: -94.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + 36 - 41) + 18 + -25?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226056 is divided by 603.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48\/217 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 36 + 36)*(1 + 1 + 0) + (1 + 0 + 0)*(3*g - 3 + 3).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 m when three letters picked without replacement from {g: 8, m: 2, s: 8}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-4)*(-11)\/154*8. Factor 112*t + 51*t**2 - 7*t**h - 3*t**3 + 16 - 49*t**3.\nAnswer: -4*(t - 2)*(t + 1)*(13*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) - sqrt(76)*-3*-1)) + (sqrt(76)*-3 - sqrt(76))*2)\/(sqrt(16)\/(sqrt(20)\/sqrt(5) + sqrt(4)) + sqrt(40)\/(sqrt(60)\/sqrt(6))).\nAnswer: -10*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4225 - -0.5225151. Let t = -0.1 + f. Round t to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/578 and (-2)\/14 + (-84)\/(-294) + (-661)\/(-714).\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32781?\nAnswer: 3, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 22 + 121 = s, 0 = 5*s + 5*z - 495. Calculate the remainder when s is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times 0.3?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*s = -96*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 - 4 + (2 - 3 - 5)*(-10 + 1 + 7) - 2 + 2 + 2)*(2*p - 3*p + 2*p).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4c840 (base 15) to base 10\nAnswer: -244860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177, -123, -31, 99, 267?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 8*c - 40 = 4*c, 132 = v + 27*c + 32 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -m**7\/210 - m**6\/45 - m**5\/30 + 7*m**3\/3 + 13*m**2. Let j(k) be the first derivative of v(k). Find u, given that j(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.8 + -5.2. Let s = i - -3. What is the nearest to 4 in 2, s, -5\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13433989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -168*h - 2. Is m(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+1065348\nAnswer: 1065347.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**5 - 8029*q**3*x + 4*q*x + 576 wrt q?\nAnswer: -40*q**3 - 48174*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 0*v**2 + 0*v**3 + 1\/4*v**4 + 80*v + 0. Let s(w) = -32*w. Give c(s(o)).\nAnswer: 3072*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 428063 and 32093?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1174679 (base 11) to base 5.\nAnswer: -1010304420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*j)*(-3 + 2 - 2)*(-2*j + j + 0*j)*(977*j - 470*j - 472*j) in the form b*j + i*j**2 + g + s*j**3 and give s.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -363, 5, -4, -1, 178 in descending order.\nAnswer: 178, 7, 5, -1, -3, -4, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**1)**37*((v**7\/v)\/v)\/(v**(-7)*v)*(v\/v**1)**(-45)*v**(-3)*v*v**5 assuming v is positive.\nAnswer: v**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 0*g = -5*d + 110, 0 = -2*g - 3*d + 39. What is the remainder when g is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107098662 or -107098661?\nAnswer: -107098662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u = 99. Suppose -u + 5 = -4*s. Let v = s - 4. Solve -3*h + 9 = v*j, -3*h + 2*j + 3 = -1 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414655, -1658659, -3732017, -6634729, -10366795, -14928215, -20318989?\nAnswer: -26539117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.8 - -160.8. Let a = 131.75 - t. What is a rounded to 1 decimal place?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64047553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**6\/40 - v**4\/24 - v**2. What is the second derivative of w(l) wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 704*c**6 - c**3 - 2*c**2 - 760*c?\nAnswer: 84480*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.4 minus 1?\nAnswer: -85.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 10*j + 10. Let s be 44\/(-12)*1*-3. Let q be v(s). Which is greater: 2\/17 or q?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 8 = -l - 5*x, 12 = -3*x. Let s(o) = 2 + 0 - l. Let v(j) = -j**2 - 7. Determine 6*s(b) + v(b).\nAnswer: -b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 6 (c) -123\/8 (d) -0.1 (e) 12 (f) 45 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -k**2\/4 + 5321*k - 5403939\/4 = 0.\nAnswer: 257, 21027","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 4*y. Let c(h) = -5*h**2 + 419*h. What is c(f) + 3*v(f)?\nAnswer: f**2 + 407*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 - 136*v + 135*v.\nAnswer: -v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 309*2\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 100001?\nAnswer: -100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.5123 and 54847?\nAnswer: 54844.4877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 18*h**2 + 3. Let g(t) = -23*t**2 - 14*t**2 - 30*t**2 + 66*t**2 + 1. Determine -b(f) + 3*g(f).\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 1\/105*d**7 + 1\/60*d**5 + 5*d**2 + 0*d + 0*d**3 + 0*d**6 + 0 + 0*d**4. Find the third derivative of x(r) wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 42343851 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}